Please don't delete my question! Here they are:
1. (fraction) 7/9 divided by 5/6 (fraction)
2. Write the answer is simplest form: (fraction) 1 3/8 + 4 1/2 (fraction)
3. 13 is what percent of 16?
PLEASE HELP

Answers

Answer 1

Answer:

1. 14/15

2. 5 7/8

3. 81.25%

Step-by-step explanation:

1. (fraction) 7/9 divided by 5/6 (fraction)

7/9 ÷ 5/6 =

= 7/9 * 6/5

= (7 * 6)/(9 * 5)

= 42/45

= 14/15

2.

1 3/8 + 4 1/2 =

= 1 + 3/8 + 4 + 1/2

= 1 + 4 + 3/8 + 4/8

= 5 + 7/8

= 5 7/8

3.

percent = part divide by whole times 100

13/16 * 100 =

= 81.25%

Answer 2

Answer/Step-by-step explanation:

1. 14/15

7/9 divided by 5/6

7/9 X 6/5: multiply by the reciprocal

7/3 X 2/5: reduce the numbers

7/3 X 2/5=14/15

2. 1 3/8 + 4 1/2

1+4: add all whole numbers first

3/8 +1/2 : then add the fractions

5 7/8: is your final answer in its simplest form

3. Convert fraction 13 / 16 to a Answer: 81.25%


Related Questions

Which of the following scenarios demonstrates an exponential decay? A. A tennis tournament in which after each round, half the players are eliminated. B. A decathlon competition in which only the first 10 move to the next competition. C. A game of basketball in which teams are ranked by the most games won the d. None of the above

Answers

Answer:

A. A tennis tournament in which after each round, half the players are eliminated.

Step-by-step explanation:

The correct answer is A. Tennis tournament in which after each round half the players are eliminated. I had this question

Solve the equation -21 + 25n = 14 for n.

A. 1/4
B. 1/3
C. 4/3
D. 7/5

Answers

Answer:

Answer D:  7/5

Step-by-step explanation:

Combine like terms:  add 21 to both sides, obtaining:

25n = 35, or n = 35/25, or n = 7/5 (Answer D)

Answer:

D. 7/5

Step-by-step explanation:

To solve -21 + 25n = 14 for n, you must first isolate the variable.To do this add 21 on each side of the equation, 21+-21 cancels out and 21 + 14 equals 35.

You now have 25n = 35. To then further isolate the variable, divide each side by 25.25 and 25 cancels out so you get n = 1.4.

7/5 is equal to 1.4

So it is D!!!!!!!!!!!!!

Please help with question 4 about the plant species population

Answers

Answer:

5 years             I think....

Step-by-step explanation:

B Specie    A Specie      

5000         2000

10000       4000

                 6000

                 8000

                 10000

Answer:

30.54 yrs

Step-by-step explanation:

We have been given the following exponential growth functions;

Species A;

[tex]p=2000e^{0.05t}[/tex]

Species B;

[tex]p=5000e^{0.02t}[/tex]

where t = 0 in 2010.

We are required to determine the number of years it will take for the populations of both species to be equal.

To do this we simply equate the two exponential functions and solve for t;

[tex]2000e^{0.05t}=5000e^{0.02t}\\\\2e^{0.05t}=5e^{0.02t}\\\\\frac{5}{2}=\frac{e^{0.05t} }{e^{0.02t} }\\\\2.5=e^{0.03t}\\\\ln(2.5)=0.03t\\\\t=\frac{ln(2.5)}{0.03}=30.543[/tex]

Eight times the sum of a number and 16 is at least -28 Use the variable w for the unknown number

Answers

The phrase "eight times the sum of a number and 16 is at least -28" translates into the inequality 8(w + 16) >= -28. After solving, it shows that w must be greater than or equal to -19.5.

The student's question involves creating and solving an inequality. The inequality represents the phrase 'eight times the sum of a number and 16 is at least -28' and uses the variable w for the unknown number. The inequality in mathematical terms is:

8(w + 16) = -28

To solve the inequality, we first distribute 8 across the parenthesis:

8w + 128 = -28

Subtract 128 from both sides to get:

8w =-28 - 128

8w = -156

Now divide both sides by 8:

w = -19.5

This inequality shows that the number w must be greater than or equal to -19.5 to satisfy the original statement.

The solution to the inequality is [tex]\( w \geq -19.5 \)[/tex]

[tex]\[ w \geq \frac{-28 - 8 \times 16}{8} \][/tex]

[tex]\[ w \geq \frac{-28 - 128}{8} \][/tex]

[tex]\[ w \geq \frac{-156}{8} \][/tex]

[tex]\[ w \geq -19.5 \][/tex]

To solve this inequality, we'll first rewrite the given statement in mathematical terms. The problem states that "eight times the sum of a number and 16 is at least -28." Let's represent the unknown number by [tex]\( w \)[/tex]. According to the statement, we can write the inequality as:

[tex]\[ 8(w + 16) \geq -28 \][/tex]

To solve for [tex]\( w \)[/tex], we'll isolate it by performing operations to both sides of the inequality. First, we distribute the 8:

[tex]\[ 8w + 128 \geq -28 \][/tex]

Next, we'll subtract 128 from both sides to isolate the [tex]\( 8w \)[/tex] term:

[tex]\[ 8w \geq -28 - 128 \][/tex]

[tex]\[ 8w \geq -156 \][/tex]

Now, to solve for [tex]\( w \)[/tex], we divide both sides by 8:

[tex]\[ \frac{8w}{8} \geq \frac{-156}{8} \][/tex]

[tex]\[ w \geq -19.5 \][/tex]

So, the solution to the inequality is [tex]\( w \geq -19.5 \)[/tex]. This means that any number greater than or equal to -19.5 will satisfy the given condition. Therefore, the set of solutions is all real numbers greater than or equal to -19.5.

Complete question:

Eight times the sum of a number and 16 is at least -28 Use the variable w for the unknown number

if PQ = QR, JK = 3x + 23 and LM = 9x - 19, find PK​

Answers

Answer:

pk=22

Step-by-step explanation:

3x+23=9x-19

x=7

3x7+23=44

44/2

22

Final answer:

To find PK when PQ = QR, JK = 3x + 23, and LM = 9x - 19, you can add JK and LM together to get PK = 12x + 4.

Explanation:

Given that PQ = QR, JK = 3x + 23, and LM = 9x - 19, we can find PK by adding JK and LM together since they are all part of the same line. So, PK = JK + LM = (3x + 23) + (9x - 19). Now simplify the expression by combining like terms: PK = 3x + 9x + 23 - 19 = 12x + 4.

Learn more about Finding a variable in an equation here:

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Simplify and keep in radical form

Answers

ANSWER

[tex]\sqrt{5} [/tex]

EXPLANATION

The given radical expression is

[tex]5 \div \sqrt{5} [/tex]

This can be rewritten as

[tex] \frac{5}{ \sqrt{5} } [/tex]

We rationalize the denominator to get:

[tex]\frac{5}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]

Recall that

[tex] \sqrt{x} \times \sqrt{x} = x[/tex]

This implies that,

[tex] \frac{5 \sqrt{5} }{5} [/tex]

Cancel out the common factors to get,

[tex] \sqrt{5} [/tex]

Write the expression in complete factored form.
(B+3)-c(b+3)

Answers

ANSWER

[tex](b + 3)(1 - c)[/tex]

EXPLANATION

The given expression is:

[tex](b + 3) - c(b + 3)[/tex]

We can rewrite this to reveal the invisible 1 multiplying the first term.

[tex]1(b + 3) - c(b + 3)[/tex]

There is a common factor of (b+3).

We factor to get;

[tex](b + 3)(1 - c)[/tex]

Therefore the completely factored form of the given expression is

[tex](b + 3)(1 - c)[/tex]

nora is 5'3" tall and standing near the 252 foot tall pilgrim monument in Massachusetts. if she casts 9 foot long shadow, find the length of the shadow casted by the monument.​
show steps pls

Answers

Answer: 432ft. shadow

Step-by-step explanation:

Because Nora is 5’3”, you need to convert every numerical value into inches by multiplying them by 12 (12in = 1 ft.)

5’ x 12 = 60” + 3” = 63”

9’ x 12 = 108”

252’ x 12 = 3,024”

Then create equivalent fractions.

63/108 = 3,024/x

108 x 3024 = 326,592/63 = 5,184in.

Then convert it back into feet.

5,184/12 = 432ft.

Final answer:

Using the proportion of similar triangles, we find that if Nora, who is 63 inches tall, casts a 108-inch shadow, then the 3024-inch tall monument will cast a shadow that is 5184 inches long, or 432 feet.

Explanation:

To find the length of the shadow casted by the monument, we can use the concept of similar triangles. The proportion between the heights and shadows of Nora and the monument will be the same because the angle of the sunlight is the same for both. Nora is 5'3" tall, which is 63 inches, and she casts a 9-foot shadow, which is 108 inches. The monument is 252 feet tall, which is 3024 inches. Setting up the proportion, we have:

Nora's height : Nora's shadow = Monument's height : Monument's shadow

63 inches : 108 inches = 3024 inches : x inches

To solve for x (the length of the monument's shadow in inches), we cross-multiply and divide:

63 * x = 3024 * 108

x = (3024 * 108) / 63

x = 5184 inches

To convert this back to feet, we divide by 12 inches per foot:

x = 5184 inches / 12 inches/foot

x = 432 feet

Therefore, the length of the shadow cast by the monument is 432 feet.

-1 + 5n -> -26 and 7n - 2 < 12

Answers

Final answer:

Solving both equations individually, we derive n = -5 from the first and n < 2 from the second. No common solution exists due to the nature of these equations.

Explanation:

This problem involves two separate equations where you’re asked to find the value of n that satisfies both. We solve this by treating each equation individually.

First equation: -1 + 5n = -26

 To resolve for n we can simply add '1' to both sides, which result in: 5n = -25. Then divide both sides by '5' to isolate n, implying n = -5.

Second equation: 7n - 2 < 12

We will apply the same logic and add '2' to both sides, which gives 7n < 14. Afterwards, dividing through by '7', which gives us n < 2.

From these two solutions, there is no value of n that validates both equations simultaneously.

Learn more about simultaneous equations here:

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please help me asap!!!

Answers

Answer:

The answer is 7!

Step-by-step explanation:

Step-by-step explanation:

if p = 0.5, then 8p =4

if q =7, then 3q =21

thus 8p + 3q -18 = 4 + 21 -18 = 7

A dress that normally costs $43.00 is on sale for 5% off. What is the sale price of the dress?

Answers

Answer:40.85

Step-by-step explanation:

43x5/100=2.15

43-2.15= 40.85

Answer:

The sale-price of this dress is $40.85

Step-by-step explanation:

Multiply 95 by 43 (since the dress is 5% off, it 95% of it's normal sales price). Divide that number by 100:

(95 × 43) ÷ 100

A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents the new position of the submarine in relation to sea level?

Answers

Answer:

[tex]y(t) = 750 -50t[/tex]

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

Notice that we have a constant amount. The initial depth: 750 meters

 Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:

-50t.

Where t represents the time in hours.

Then the equation that represents the new position of the submarine in relation to the level of the sea:

[tex]y(t) = 750 -50t[/tex]

Answer:

im pretty sure it's -750 + 4 x 50

Step-by-step explanation:

This is the only answer that really makes sense to me

Find x in the figure below.

Answers

Answer:

B. 25

Step-by-step explanation:

We can use the altitude theorem, to quickly find the value of x.

According to this theorem; the altitude  of the triangle is equal to the geometric mean of the product of the two segments created by the leg of the altitude on the hypotenuse.

We apply this theorem to obtain:

[tex]10=\sqrt{4x}[/tex]

This implies that:

[tex]10^2=4x[/tex]

[tex]100=4x[/tex]

Divide both sides by 4 to obtain:

[tex]\frac{100}{4}=x[/tex]

[tex]x=25[/tex]

Given the function f(x)=-x^2+6x+13f(x)=−x
2
+6x+13, determine the average rate of change of the function over the interval -1\le x \le 5−1≤x≤5.

Answers

Answer:

3

Step-by-step explanation:

The given function is

[tex]f(x)=-x^2+6x+13[/tex]

The average rate of change is simply the slope of the secant line connecting any two point on the graph of the function.

The average rate of change  of this function over the interval;

[tex]-1\le x\le 5[/tex] is given by:

[tex]\frac{f(5)-f(1)}{5-1}[/tex]

[tex]f(5)=-(5)^2+6(5)+13[/tex]

[tex]f(5)=-25+30+13=18[/tex]

[tex]f(-1)=-(-1)^2+6(-1)+13[/tex]

[tex]f(-1)=-1-6+13=18[/tex]

[tex]f(-1)=6[/tex]

The average rate of change now becomes;

[tex]\frac{18-6}{4}[/tex]

[tex]\frac{12}{4}=3[/tex]

What is the circumference of a circle with a diameter of 4 feet? (use 3.14 for pi)

Answers

Answer:

12.56

Step-by-step explanation:

using the formula 2piR

Answer:

12.56 feet

Step-by-step explanation:

C= pie times diameter

Or

C= 2 times pie times radius

C= 3.14 times 4

Therefore, the circumference equals 12.56 feet

given that BD is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is what type of triangle?

Answers

Answer:

Isosceles

Step-by-step explanation:

Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.

In these triangles:

AD=DC (because BD is the median);∠ADB=∠CDB=90° (because BD is the altitude);BD is common side.

Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.

If in triangle ABC, AB=BC, then this triangle is isosceles.

Answer:

Isosceles (apex)

Step-by-step explanation:

which is the point and slope of the equation y+8= -1/9(x-7)

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 8 = - [tex]\frac{1}{9}[/tex] (x - 7) is in this form

with slope = - [tex]\frac{1}{9}[/tex] and (a, b) = (7, - 8)

500 plates cost $18.00 what does each plate cost​

Answers

Answer:

$0.036

Step-by-step explanation:

I will be solving this questions in a rational, proportional way.

This question given is directly proportional. There are two types of proportion.

Direct - Let's say there are two values, x and y. In direct proportion, while x   increases, y increases with it.  

Inverse- Taking x and y, in inverse proportion, while x increases, y decreases or while y increases, x decreases.

In the given example, there are two values, number of plates and cost of plates. While the number of plates increases, the cost would surely increase. Therefore, giving us that it is a direct proportion.

500 plates : $18.00 :: 1 : $x

500 plates is to 18 dollars, then, 1 plate is to how many dollars?

In direct proportion, the product of extremes is equal to the product of means.

500(x) = 18(1)

500x = 18

x = 18 / 500

x = 0.036

Hence, one plate costs $0.036 or 3.6 cents

Answer:

each plate cost:  .036 each

18.00 divided by 500

Step-by-step explanation:

AB = 18.5, AX = 8.1 and BC = 18.5. What
is the length of AC?

Answers

Answer:

AC=16.2 units

Step-by-step explanation:

we know that

The triangle ABC is an isosceles triangle

so

AX=XC

because triangles ABX and CBX are congruents

AC=2*AX

see the attached figure to better understand the problem

therefore

AC=2*8.1=16.2 units

Final answer:

To find the length of AC, we add the lengths of segments AX and BC, giving us AC = 8.1 + 18.5, which equals 26.6 units.

Explanation:

If we are given that AB = 18.5 units, AX = 8.1 units, and BC = 18.5 units, then to find the length of AC, we simply need to add the lengths of segments AX and BC together, since AX and BC are adjacent segments on line AC. The formula to calculate AC in this situation is:

AC = AX + BC

Substituting the given values into this formula gives us:

AC = 8.1 units + 18.5 units = 26.6 units

Therefore, the length of segment AC is 26.6 units.

I need help with D please somebody help me with the figuring out how to get the answer

Answers

let's bear in mind that 1 Cup = 8 fl oz.

a) is absolutely correct, 18oz and thus they can fit fine in the 24oz container.

b) is correct, 24 - 18 = 6, we can fit in 6 more oz, which is 3/4 of a cup.

c) is correct as well

d)

we just need to convert c) units to fluid ounces

[tex]\bf 2\frac{1}{4}\implies \cfrac{9}{4}\cdot 8\implies \boxed{18}~\hfill 3\cdot 8\implies \boxed{24} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{juice}}{18}+\stackrel{\textit{water}}{12}+\stackrel{\textit{ice cream}}{24}\implies 54~\textit{fluid ounces}[/tex]

Franky's age is 5 years less that 1/2 his mothers age. If Franky is 13 years old,write an equation to determine his mothers age

Answers

Answer:

1/2x-5=13

Step-by-step explanation:

Let x= Frankie’s mother’s age

Half his mother’s age= 1/2x

5 less than that=1/2x-5

We know that Frankie is 13 so that equation is equal to Frankie’s age, which is 13.

Hope this helps.

Final answer:

To determine Franky's mother's age, we can create an equation using the given information. By solving the equation, we find that Franky's mother is 36 years old.

Explanation:

To determine Franky's mother's age, we can create an equation based on the given information. Let's assume Franky's mother's age is M. According to the information given, Franky's age is 5 years less than half of his mother's age. So, Franky's age can be represented as (1/2)M - 5.

We are also given that Franky is 13 years old. So we can set up the equation:

(1/2)M - 5 = 13

To solve for M, we can simplify the equation:

(1/2)M = 13 + 5

(1/2)M = 18

M = 18 * (2/1)

M = 36

Therefore, Franky's mother's age is 36 years old.

a cable 28 feet long runs from the top of a utility pole to a point on the ground 13 feet from the base of the pole. how tall I'd the utility pole​

Answers

Answer: 15 feet

Step-by-step explanation: 28-13

Which could be the function graphed below?

Answers

Answer:

Given graph represents function.

Step-by-step explanation:

We have been given a graph. Now we need to find if the given graph represents function or not.

To check if any graph represents function or not, we apply vertical line test. That means if there exists any vertical line that crosses the given graph more than once then the given graph is not a function.

Now if you draw vertical lines then you won't find any such vertical line which crosses graph more than once.

Hence given graph represents function.

Answer:

[tex]f(x=\sqrt{x}-2[/tex].

Step-by-step explanation:

We have been given graph of a function. We are supposed to find the function formula.

Upon looking at our given function, we can see that it is transformed form of a square root function.

We know that square root parent function is in form [tex]f(x)=\sqrt{x}[/tex].

We can see that our given graph is shifted down along y-axis. The rule for shifting a graph down along y-axis is: [tex]f(x)\rightarrow f(x)-a[/tex], where graph of [tex]f(x)[/tex] is shifted down by a units.

So our function will be in form [tex]f(x=\sqrt{x}-a[/tex].

From our attached file, we can see that value of 'a' is 2.

Therefore, our required function would be [tex]f(x=\sqrt{x}-2[/tex].

Find the median, first quartile, third quartile, and interquartile range of the data. 132,127,106,140,158,135,129,138

Answers

The median is 133.5, the first quartile is 128, the third quartile is 139, and the interquartile range is 11.

What is median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

To find the median, first we need to order the data set from least to greatest:

106, 127, 129, 132, 135, 138, 140, 158

There are 8 data points, so the median is the average of the 4th and 5th numbers:

Median = (132 + 135) / 2 = 133.5

To find the quartiles, we need to divide the data set into four equal parts. Since there are 8 data points, the first quartile (Q1) is the median of the first half of the data set, and the third quartile (Q3) is the median of the second half of the data set.

Q1 = median of {106, 127, 129, 132} = (127 + 129) / 2 = 128

Q3 = median of {135, 138, 140, 158} = (138 + 140) / 2 = 139

The interquartile range (IQR) is the difference between the third quartile and the first quartile:

IQR = Q3 - Q1 = 139 - 128 = 11

Therefore,

The median is 133.5, the first quartile is 128, the third quartile is 139, and the interquartile range is 11.

Learn more about median here:

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Final answer:

The median of the given data set is 133.5, with the first quartile (Q1) at 128 and the third quartile (Q3) at 139. The interquartile range (IQR) is 11, and the range is 52.

Explanation:

To find the median, first quartile (Q1), third quartile (Q3), and interquartile range (IQR) of a set of data, we first need to list the data in ascending order. The given data is: 106, 127, 129, 132, 135, 138, 140, 158.

The median is the middle number when the data set is ordered. Since there are 8 numbers, the median will be the average of the 4th and 5th numbers: (132 + 135) / 2 = 133.5. So the median is 133.5

To find the first quartile, which is the median of the lower half of the data (excluding the median if the number of data points is odd), we look at the first four numbers: 106, 127, 129, 132. The median of this subset is (127 + 129) / 2 = 128. So Q1 is 128.

Similarly, Q3 is the median of the upper half of the data. For the numbers 135, 138, 140, 158, the median is (138 + 140) / 2 = 139. So Q3 is 139.

The IQR is the difference between Q3 and Q1, so IQR = 139 - 128 = 11.

The range of the data is the difference between the max and min values, which is 158 - 106 = 52.

Plz help me with this

Answers

Answer:  B) 160

Step-by-step explanation:

Since the Standard deviation of 21 bins is 3 bins, then the first 7 bins falls in the first 2.5% edge of the bell curve.

2.5% of 21 times 1000 = (0.025)(21)(1000) = 160

Please help! Order the dot plot from least to greatest in typical value. I will give brainliest!!!

Answers

What your are going to want to do is look for the average of the number (hope this helps some what!) good luck

the sum of x and a multiple of x ?

Answers

Answer:

Take x and 5x for example.

5x is a multiple of x.

If you were to add x and 5x, you'd get 6x.

So basically, when you add x and a multiple of x, just add 1 to the number in front of the multiple of x.

[Like how we did earlier, 5x + (1)x = 6x]

Answer:

add x and a multiple of x, and 1

Step-by-step explanation:

Please help?! No explanation needed. Just help asap!

Answers

Answer:

Assuming that you're calculating surface area it would be:

16+10+10+10+10 or B

Step-by-step explanation:

Pls help :> i will give 40 points

Answers

Answer:

50 ft

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=40ft,\ leg=30ft,\ hypotenuse=x[/tex]

Substitute:

[tex]40^2+30^2=x^2\\\\1600+900=x^2\\\\2500=x^2\to x=\sqrt{2500}\\\\x=50\ ft[/tex]

You can see that you have a right triangle in the figure is a right triangle, which means that you can find the hypotenuse using the Pythagorean theorem:

[tex]d = \sqrt{30^2+40^2}=\sqrt{900+1600}=\sqrt{2500} = 50[/tex]

The amount of sales tax varies directly with the cost of the purchase. If the sales tax is $3.80 on a purchase of $76 what would be the sales tax on a purchase of $46

Answers

Answer:

The sales tax is equal to [tex]\$2.3[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

Let

y-----> the cost of the purchase

x ----> the sales tax

step 1

Find the value of k

For [tex]y=76, x=3.80[/tex]

substitute

[tex]k=y/x[/tex]

[tex]k=76/3.8[/tex]

[tex]k=20[/tex]

The linear equation is equal to

[tex]y=20x[/tex]

step 2

what would be the sales tax on a purchase of $46

For [tex]y=46, x=?[/tex]

substitute in the equation

[tex]46=20x[/tex]

[tex]x=46/20[/tex]

[tex]x=\$2.3[/tex]

Answer:

$2.30

Step-by-step explanation:

We have been given that the amount of sales tax varies directly with the cost of the purchase.

We know that a direct variation in in form [tex]y=kx[/tex], where, y varies directly with x and k is constant of variation.

First of all, we will find constant of variation as:

[tex]\text{Sales tax}=k*\text{Cost of purchase}[/tex]

[tex]\$3.80=k*\$76[/tex]

[tex]\frac{\$3.80}{\$76}=\frac{k*\$76}{\$76}[/tex]

[tex]0.05=k[/tex]

To find the amount of sales tax on a purchase of $46, we will substitute [tex]k=0.05[/tex] in our equation as:

[tex]\text{Sales tax}=0.05*\$46[/tex]

[tex]\text{Sales tax}=\$2.30[/tex]

Therefore, the sales tax would be $2.30.

Other Questions
Susie rubbed the plastic wand with a silk cloth. She brought the wand close to the top of the electroscope. Note what happened when she did this. How did Susie make the initial static charge that started this process? please help, i suck at these but i think its 3/6 Chemotherapy and radiation is used to treat which disease? If a pond is located in an area with significant amounts of air pollution, which health measure would be most directly affected?A: pHB: nitratesC: turbidityD: dissolved oxygen who has the symbol of peace Which is an equation of the circle with a radius of 9 units and center at(4, 2)?A. (x 9)2 + (y + 4)2 = 4B. (x 4)2 + (y + 2)2 = 81C. (x + 4)2 + (y 2)2 = 81D. (x 2)2 + (y + 4)2 = 81 What does the teacher want the students to do with their homework? Chemical digestion in the small intestine involves ________. a.a significant amount of enzyme secretion by the intestinal mucosa b.cholecystokinin (CCK), an intestinal hormone responsible for gallbladder contraction c.secretions from the spleen that contain all enzymes necessary for complete digestion d.bile salts that help emulsify carbohydrates so that they can be easily digested by enzymatic action Select all that apply. Which of the following is a condemnation?Sick of lackluster, dull floors from using Cleanies? Try Robo-Clean instead! It does the work for you.Speeding increases the likelihood of an accident! Don't do it. It's just not worth getting there faster!Try Pain Be Gone, the latest after sport medicated joint cream; you won't regret it!Smoking increases your risk for lung cancer, heart disease, and premature aging! There are no benefits!Don't forget to pick up some Banana Bots at the store! They're the perfect portable breakfast food. a rectangle is 6 units "wide" and x -8 use long it has the same area of a triangle with a height of 7 units and a base of x minus 3 years what is the area of the rectangle Tasha is buying a cd that is regularly $12.99 and is on sale for 1/4 off. The _____ system includes the heart. endocrine respiratory nervous circulatory What is a disadvantage to running a healthcare organization as a business PLEASE PLEASE HELP!! 30 POINTS!!What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent? Soldering is accomplished by quickly heating metal parts. Solder is a metal that is melted to join metallic surfaces together. Common solder formulations based on tin and lead are listed below. The fraction represents percentage of tin first, then lead, totaling 100%.Tin/LeadMelting Point (C)40/60230 C50/50214 C60/40190 C63/37183 C95/5224 CWith the same soldering iron, assuming the soldering irons highest temperature is 204 degrees Centigrade, would you be able to make the repair if you had solder made of 50/50? A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.03 m/s on the horizontal section of a track, as shown. It rolls around the inside of a vertical circular loop 90.0 cm in diameter and finally leaves the track at a point 20.0 cm below the horizontal section. (a) Find the speed of the ball at the top of the loop. Demonstrate that it will not fall from the track. (b) Find its speed as it leaves the track. (c) Suppose that static friction between the ball and the track was negligible, so that the ball slide instead of rolling. Would its speed then be higher, lower, or the same at the top of the loop If your boss asks you to do something you know goes against company ethic policies and your set of morals, you should go ahead and do it because he/she is your boss and could fire you.TrueFalse What are some synonyms of biased and definition Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science classes. Why is this sample likely to be biased?A. Advanced science students may not have clear career preferences.B. The numbers of boys and girls in the advanced science classes are not equal.C. Advanced science students are not representative of all the students in the school.D. It is too early for students to have career preferences while still in school. -2(-3)(-1)(-4)= evaluate Steam Workshop Downloader