A map of a highway has a scale of 2 inchesequals39 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the​ highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new​ map?

Answer:

Step-by-step explanation:

ΔRTS and ΔQRS are similar. Therefore the sides are in proportion:

[tex]\dfrac{RS}{SQ}=\dfrac{ST}{RS}[/tex]

We have:

[tex]RS=x\\SQ=9+16=25\\ST=9\\RS=x[/tex]

Substitute:

[tex]\dfrac{x}{25}=\dfrac{9}{x}[/tex]               cross multiply

[tex]x^2=(25)(9)\\\\x^2=225\to x=\sqrt{225}\\\\x=15[/tex]

[tex]\huge\text{$n=\boxed{20}$}[/tex]

We need to isolate the variable on one side of the equation.

[tex]\begin{aligned}\frac{n-2}{-3}&=-6&&\smash{\Big|}&&\text{Write an equation.}\\n-2&=18&&\smash{\Big|}&&\text{Multiply both sides by $-3$}\\n&=\boxed{20}&&\smash{\Big|}&&\text{Add $2$ to both sides.}\end{aligned}[/tex]

The correct answer is:

C) 40°

Answer:

Correct statement that can be used to determine the wrong choice is the first choice.

Step-by-step explanation:

Given inequality is |r-4|>8

Now we need to check which inequality shows is the graph created by Juan is correct or not.

Choice 1:

r=-4 is not part of graph shown so not possible

plug r=-4 into |r-4|>8

|-4-4|>8

|-8|>8

8>8 is FALSE

But it says that it is True.

which is wrong conclusion.

Hence correct statement that can be used to determine the wrong choice is the first choice.

Answer: I think that depends on how strong you are and how big the ball is. You certainly wouldn't able to throw it as far as a ball without sand.

Answer: The average drop is $8.80 per day.

Step-by-step explanation: Over the course of 8 days the stock fell by $72, and then $4 and $12 on the following two days. In order to determine the average over 10 days you need to add up the total drop for the time period and then divide by 10.

The formula to use:

(72 + 4 + 12) / 10=

88 / 10=

8.8=

$8.80

Check the picture below.

Answer:

6 inches of snow per day.

Step-by-step explanation:

6 1/2 days = 6.5 days

39/6.5=6

So your answer is 6 inches of snow per day.

To find the rate of snowfall in inches per day, divide the total inches of snow by the total number of days (39 inches / 6.5 days), resulting in a rate of 6 inches of snow per day.

The question asks about determining the rate of snowfall in inches per day given that it snowed 39 inches in 6½ days in Alaska. To find the rate, we divide the total inches of snow by the total number of days.

Rate = Total Inches of Snow / Days = 39 inches / 6.5 days

Therefore, the rate of snowfall is 6 inches per day. This calculation helps us understand how snowfall accumulates over time, providing insight into weather patterns and their effects on the environment and human activities.

If you had to pick a answer chose between a or c

I would pick C that’s the answer

Here is the factor (3x+5y)(3x-5y)

Answer:

(3x+5y)(3x−5y)

Step-by-step explanation:

The binomial can be factored using the difference of squares formula

a^2−b^2=(a+b)(a−b) where a=3x and b=5y

Answer:

The length is 72

Step-by-step explanation:

length x width = area

9 x length = 648

length = 72

To determine the length of a rectangle with a width of 9 inches and an area of 648 square inches, divide the area by the width. The calculation reveals that the length of the rectangle is 72 inches.

To find the length of the rectangle when the width is 9 inches and the area is 648 square inches, we use the formula for the area of a rectangle, which is Area = [tex]length imes[/tex]width. Given the area (648 square inches) and the width (9 inches), we can solve for the length by dividing the area by the width.

The calculation is as follows:
Length = Area / Width
Length = 648 square inches / 9 inches
Length = 72 inches

Therefore, the length of the rectangle is 72 inches.

To find the time it takes for the rocket to reach its maximum height, we need to find the value of t when Vy = 0. By setting the derivative of h(t) equal to zero and solving for t, we find that it takes 3 seconds for the rocket to reach its maximum height.

The rocket reaches its maximum height when the vertical velocity switches from positive (upwards) to negative (downwards), which occurs when Vy = 0. To find the time it takes for the rocket to reach its maximum height, we need to find the value of t when Vy = 0. Considering that the given function is h(t) = -16t^2 + 96t + 180, we can determine the time it takes by setting the derivative of h(t) equal to zero and solving for t.

0 = -32t + 96

32t = 96

t = 3 seconds

https://brainly.com/question/39282411

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Answer:

r = 95

Step-by-step explanation:

log (r - 5) - 7 = -5 becomes log (r - 5) = 2.  You had that right.

Now raise the base 10 to the power 'log (r - 5)' and equate that to the base 10 to the power 2:

   log (r - 5)           2

10                  =  10

Then r - 5 = 100, and r = 100 - 5 = 95.   r = 95

Answer:

x=4

y=14

Step-by-step explanation:

1. Substitute y=x+10 into y=3x+2.

Start with the original equation.

y=3x+2

Let y=x+10.

x+10=3x+2

2. Solve for x in x+10=3x+2.

x=4

3. Substitute x=4 into y=x+10.

y=14

4. Therefore,

x=4

y=14

Answer:

C, A

Step-by-step explanation:

For the first question, just isolate p on the left side and then multiply everything by negative 1 (although it won't matter because it's a square root). Then just square root both sides for an answer of C.

For the second question, do the same thing, isolate the variable. Then, for this question divide each side by 5 and then square root both sides leaving you with an answer of A.

Answer:

Set B has the greater spread

Step-by-step explanation:

Set B has the greater spread because if you add them all up they you will get a number higher than Set A.

Hope this helped :)

Answer:

Set B has a greater spread , because it has a higher IQR

Step-by-step explanation:

One way to measure the spread of a data set is to break it into quarters and measure the interquartile range (IQR).

Set A: {38, 12, 23, 48, 55, 16, 18}

(a) Sort the numbers

(12, 16, 18, 23, 38, 48, 55}

(b) First quartile

The median of 12, 16, and18 is 16.

First quartile = 16

(c) Third quartile

The median of 38, 48, and 55 is 48.

Third quartile = 48

(d) IQR

IQR = 48 - 16  = 32

Set B: {44, 13, 24, 12, 56}

(a) Sort the numbers

(12, 13, 24, 44, 56}

(b) First quartile

The median of 12 and 13 is 12.5.

First quartile = 12.5

(c) Third quartile

The median of 44 and 56  is 50.

Third quartile = 50

(d) IQR

IQR = 50 - 12.5 = 37.5

Set B has the greater spread, because it has the higher IQR.

The Box plot below shows that Set B has the greater spread.

Answer:

Step-by-step explanation:

Okay depending on what subject of math you're doing I would look up video tutorials of the formulas or steps of answering the problem. Usually watching someone else does it through videos you can go at your own pace like rewinding the video. Make a formula sheet and take notes on what they are doing.

If this doesn't help you tell me the type of math it is and I can have better tips to give.

Let the number of chickens = c.

Let the number of pigs = p.

A chicken has 1 head and 2 legs.

c number of chickens have c heads and 2c legs.

A pig has 1 head and 4 legs.

p number of pigs have p heads and 4p legs.

There are 40 heads.

Equation for heads:

c + p = 40

There are 110 legs.

Equation for legs:

2c + 4p = 110

System of equations:

c + p = 40

2c + 4p = 110

Solve the first equation of the system of equations for c:

c = 40 - p

Substitute 40 - p for c in the second equation:

2c + 4p = 110

2(40 - p) + 4p = 110

80 - 2p + 4p = 110

80 + 2p = 110

2p = 30

p = 15

Now substitute p = 15 in the first equation to find c.

c + p = 40

c + 15 = 40

c = 25

There are 25 chickens and 15 pigs.

Answer:

The correct answer option is (21, 2).

Step-by-step explanation:

We are given the following two equations and we are to find the solution to this system of equations:

[tex]y=-\frac{1}{3} x+9[/tex] --- (1)

[tex]y=\frac{2}{3} x-12[/tex] --- (2)

Since the left hand side of the both the equation is equal so we can equate the right hand sides of these equations equal to each other.

[tex]-\frac{1}{3} x+9 = \frac{2}{3} x-12[/tex]

[tex]\frac{2}{3} x+\frac{1}{3} x = 9+12[/tex]

x = 21

Substituting this value of x in (2) to find y:

[tex]y=\frac{2}{3} (21) - 12[/tex]

y = 2

Answer:

The correct answer is first option (21, 2)

Step-by-step explanation:

The given two equations are,

y=-1/3x+9 and y=2/3x-12

To find the solution

Two equations are

y=-1/3x+9    -------(1)

y=2/3x-12    -------- (2)

(2) - (1) ⇒ 0 = 3/3x + (-12 - 9)

⇒0 = x - 21

x = 21

Substitute value of x in eq(1) we get,

y = -1/3 * 21 + 9 = -7 + 9 = 2

Therefore the solution is (21, 2)

The correct answer is first option

Answer:

The answer is B (the indices are the same).

Answer:

Step-by-step explanation:

left and less

Answer:

7(1.11¹²) = about 24.49 pounds

The baby will weigh approximately 20.07 pounds after one year.

To solve this problem, we can use the formula for exponential growth, which is given by:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

where:

- [tex]\( A \)[/tex] is the amount of money accumulated after n years, including interest.

- \( P \) is the principal amount (the initial amount of money).

- [tex]\( r \)[/tex] is the annual interest rate (decimal).

-[tex]\( n \)[/tex] is the number of times that interest is compounded per year.

- [tex]\( t \)[/tex] is the time the money is invested for, in years.

In this context, we are dealing with the growth of the baby's weight, not money, but the formula can still be applied with slight modifications:

- [tex]\( P \)[/tex] is the initial weight of the baby (7 pounds).

- [tex]\( r \)[/tex] is the monthly growth rate (11% or 0.11 as a decimal).

- [tex]\( n \)[/tex] is the number of times the weight is  compounded  per year (12 times a month).

- [tex]\( t \)[/tex] is the time in years (1 year in this case).

Let's plug in the values:

[tex]\[ A = 7 \left(1 + \frac{0.11}{12}\right)^{12 \times 1} \][/tex]

Now, we calculate the value inside the parentheses:

[tex]\[ 1 + \frac{0.11}{12} = 1 + 0.009166667 \approx 1.009166667 \][/tex]

Next, we raise this value to the power of 12:

[tex]\[ \left(1.009166667\right)^{12} \approx 1.13503674 \][/tex]

Finally, we multiply this by the initial weight [tex]\( P \)[/tex]:

[tex]\[ A \approx 7 \times 1.13503674 \approx 7.9452572 \][/tex]

However, we need to consider that the baby gains weight each month and then the weight is compounded, so we need to calculate the weight gain each month and add it to the previous month's weight before compounding. This is a recursive process, and after repeating it for 12 months, we find that the baby will weigh approximately 20.07 pounds after one year.

The exact calculation would involve compounding the weight gain each month for 12 months, which would give us the final weight of the baby after one year. The recursive formula would be:

[tex]\[ A_{n+1} = A_n \left(1 + \frac{r}{n}\right) \][/tex]

where [tex]\( A_{n+1} \)[/tex] is the weight after [tex]\( n+1 \)[/tex] months and [tex]\( A_n \)[/tex] is the weight after [tex]\( n \)[/tex] months. Starting with [tex]\( A_0 = P \)[/tex], we would apply this formula 12 times to get the final weight after 12 months. The result of this recursive calculation is approximately 20.07 pounds.

Let's do this step by step quickly!

#1. Multiply both sides by 10.

[tex]\fbox{-14x10=t}[/tex]

#2. Simplify -14 x 10 to -140.

[tex]\fbox{-140 = t}[/tex]

#3. Switch sides.

[tex]\fbox{t = -140}[/tex]

Done, [tex]\fbox{t = -140}[/tex].

Here is your answer

-140

REASON:

[tex]-14=\frac{t}{10}[/tex]

Multiply both sides by 10

[tex]-14×10= \frac{t}{10}[/tex]×10

-140=t

So, t= -140

HOPE IT IS USEFUL

Answer:

The length of T is [tex]4.2\ mi[/tex]

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{T}{9}=\frac{7}{15}\\ \\ T=9*7/15\\ \\T=4.2\ mi[/tex]

Answer: $8,000

Step-by-step explanation: Frank’s weekly salary is calculated by the formula 400 + .15s. If he wants to earn $1,600 then it will be $1,600 = 400 + .15s.

In order to solve this you first subtract 400 from each side:

1,200 = .15s

Next, divide both sides by .15:

$8,000 = s

Frank will need to have $8,000 in sales in order to earn $1,600.

Final answer:

To make a minimum of $1,600 in a week, Frank needs to have at least $8,000 in sales, based on the pay expression 400 + 0.15s.

Explanation:

The expression 400 + 0.15s represents Frank's weekly pay as an appliance salesman, where s is his total sales for the week. Frank wishes to make at least $1,600 this week. To find out how much he will need in sales, we set up the inequality:

400 + 0.15s ≥ 1600

To solve for s, we will subtract 400 from both sides of the inequality:

0.15s ≥ 1200

Now, we divide both sides by 0.15 to solve for s:

s ≥ 1200 / 0.15

s ≥ 8000

Therefore, Frank needs to have at least $8,000 in sales to make a minimum of $1,600 this week.

yeah. for instance, -2-2= -4

Answer:

Step-by-step explanation:

Answer:

The answer to your question is 13.2

Step-by-step explanation:

To figure out the answer to this equation you have to multiply by pi or 3.14

Answer:

C. 55.4

Step-by-step explanation:

Formula: A = π • r²

A= 3.14 • 4.2²

4.2 • 4.2

17.64 • 3.14

A=55.3896

A=55.4

Answer:

Second Option

[tex]p = -6[/tex] and [tex]p = 12[/tex]

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function [tex]f(x) = |x|[/tex]  x> 0 for all real numbers.

Then the equation:

[tex]|p-3| = 9[/tex] has two cases

[tex](p-3) = 9[/tex]    if [tex]h > 3[/tex]  (i)

[tex]-(p-3) = 9[/tex]    if [tex]h < 3[/tex] (ii)

We solve the case   (i)

[tex]p = 9 + 3\\p = 12[/tex]

We solve the case    (ii)

[tex]-p +3 = 9\\p = 3-9\\p = -6[/tex]

Then the solution is:

[tex]p = -6[/tex] or [tex]p = 12[/tex]

Find area of the semi circle.

The diameter is, half of that would be the radius, which is 3.

[tex]\frac{\pi \cdot 3^2}{2}[/tex] = 14.1

Find the area of the rectangle.

6 * 4 =24

Add the two areas together.

24 + 14.1 = 38.1

[tex]38.1in^2[/tex]

Answer:

Area of square tile = (20 cm)² = 400 cm²

1 m = 100 cm--->1 m² = 10,000 cm²

20,000 cm² ÷ 400 cm²/square tile =

50 square tiles