Answer:
4:5 ,15:16
Step-by-step explanation:
divide 12 and 15 by 3 to get 4 and 5
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00. Because of the service, she wants to leave a 15\%15% tip.
What is her total bill including tip?
Answer: Her total bill including tip is $51.75
Step-by-step explanation:
Hi, first, we have to multiply the cost of the meal by the tip percentage in decimal form (percentage divided by 100).
Mathematically speaking:
45 x (15/100) = 45 x 0.15 = 6.75 tip amount
Finally, add the amount of the tip to the meal's cost.
45 +6.75 = $51.75
Her total bill including tip is $51.75
Feel free to ask for more if needed or if you did not understand something.
a Panda eats about 20 kg of bamboo per day. About how many pounds of bamboo will the panda eat in 6 weeks?
Answer:
840 kg of bamboo in 6 weeks
Step-by-step explanation:
if a panda eats 20 kg of bamboo per day he eats 140 kg of bamboo every week. multiply the amount he eats per week (140) by the amount of weeks (6) and you get 840 kg of bamboo
Answer:
1,848
Step-by-step explanation:
The panda eats 20kg of bamboo per day, and 1 L = 2.2 Ib, so multiplying 20 x 2.2 = 44, and there is 42 days in 6 weeks, so you multiply 44 x 22 = 1,848. I hope this is the correct answer, you're welcome!
what would the identity be?
[tex] \frac{2}{3} ( \frac{3}{2} ) = 1[/tex]
Answer:
Since both sides equal, there are infinitely many solutions
Step-by-step explanation:
Simplify brackets
2/3×3/1=1
Use this rule: a/b×c/d=ac/bd
Simplify 2×3 to 6
6/3×2=1
Simplify 3×2 to 6
6/6=1
cancel 6
1=1
Since both sides equal, there are infinitely many solutions
what is the value of B
Answer:
B = 2
Step-by-step explanation:
using the rule of exponents
• [tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
consider [tex]83^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{83^{2} }[/tex]
⇒ B = 2
You want to use square tiles to cover the top of a stepping stone you're making. The top is 24 inches by 20 inches. What is the side measure of the largest-sized square tile you can use to cover the stepping stone without any overlap or cutting?
The side measure of the largest-sized square tile will be 4 in.
What is the greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given that, The top of a stepping stone is 24 inches by 20 inches.
GCF of 24 and 20 = 4
Hence, The side measure of the largest-sized square tile will be 4 in.
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Change each improper fraction into an equal mixed number.
a. 15⁄4
b. 41⁄9
c. 67⁄8
d. 135⁄11
e. 107⁄20
f. 493⁄174
Answer:
A. 3 3/4
B. 4 5/9
C. 8 3/8
D. 12 3/11
E. 5 7/20
F. 2 145/174
Hope That Helps!
The exression below represents Julia's annual salary after t years.
25,000(1.04)t
Interpret the meaning of the expression.
Julie's salary started at $25,000. t is the number of years since her original $25,000 salary started. Each year she gets a 4% raise. The expression gives her salary at year t.
Answer:
b.
Step-by-step explanation:
Interpret the meaning of the expression.
A.
Julia's initial salary is $4,000, and the growth rate is 25% per year.
B.
Julia's initial salary is $25,000, and the growth rate is 4% per year.
C.
Julia's initial salary is $4,000, and the growth rate is 2.5% per year.
D.
Julia's initial salary is $25,000, and the growth rate is 40% per year.
Provide the first six terms of the following sequence: t1=81 tn=13tn-1n ≥ 2
Answer: 81, 27, 9, 3, 1, 1/3
There are six terms listed. The first five are whole numbers and the sixth term is a fraction.
==============================================
Explanation:
The equation t1 = 81 means that the first term "t" is 81. The second term is t2 = 27 because we multiply 1/3 by 81, or divide 81 over 3, and we end up with 81/3 = 27 as the second term.
We know to multiply by 1/3 because of the equation tn = (1/3)*t_(n-1) where the "n-1" portion is smaller than 't'. We can write it like this[tex]t_n = \frac{1}{3}*t_{n-1}[/tex]
To get the next term, we multiply by 1/3 again: 27*(1/3) = 27/3 = 9 giving us the third term
And repeat until we have six terms
9*(1/3) = 9/3 = 3 is the fourth term
3*(1/3) = 3/3 = 1 is the fifth term
1*(1/3) = 1/3 is the sixth term
So that is how I got the first six terms to be 81, 27, 9, 3, 1, 1/3
Simplify completely 12x+36/x^2-4x-21 and find the restrictions on the variable
Answer:
[tex]\dfrac{12}{x-7},[/tex]
[tex]x\neq 7,\ x\neq -3.[/tex]
Step-by-step explanation:
Consider the expression
[tex]\dfrac{12x+36}{x^2-4x-21}.[/tex]
1. The numerator can be factored as
[tex]12x+36=12(x+3).[/tex]
2. The denominator [tex]x^2-4x-21[/tex] has the discriminant
[tex]D=(-4)^2-4\cdot (-21)\cdot 1=16+84=100.[/tex]
Then
[tex]x_{1,2}=\dfrac{-(-4)\pm \sqrt{100}}{2\cdot 1}=\dfrac{4\pm 10}{2}=7,\ -3.[/tex]
Then
[tex]x^2-4x-21=(x-7)(x+3).[/tex]
Note that restrictions on the variable x are [tex]x\neq 7,\ x\neq -3.[/tex]
3. Simplify the fraction:
[tex]\dfrac{12x+36}{x^2-4x-21}=\dfrac{12(x+3)}{(x-7)(x+3)}=\dfrac{12}{x-7}.[/tex]
Mrs.Maxwell is buying pencils for her students. She has 3 classes of 28 students each. For Valentine’s Day, she wants to give each of her students 4 pencils. She can purchase packs of 18 pencils for $2.52. How many packs of pencils will Mrs. Maxwell need to purchase? Justify your answer.
Answer:
the answer might be 336 sorry if i am not right
Step-by-step explanation:
Answer:
I think the answer is approximately 5 packs of pencils.Hooe this helps :)
Step-by-step explanation: what I did was I multiplied 3 and 28 then divide that number by 12 and rounded my answer up.
Please help me with this and dont get any wrong!!!!!
1. The answer is A.
Based on the line plot, we can see that Sandy drank 12 juice boxes on October 12th. Each X on the plot represents 2 juice boxes, and there are 6 of them, meaning she drank 12. October 2nd has 1 X, meaning she drank 2 that day.
2. The answer is A.
On a graph, the point (1, 3) would mean that 1 is on the x-axis, and 3 is on the y-axis. Therefore, point B is correct because it is 1 space to the right, and 3 spaces up from the origin.
3. The answer is C.
If the coordinate we're looking for is (4, 0) then on a graph you would move 4 spaces to the right, and 0 spaces up or down. Therefore, point B is the correct choice.
What is the formula to
u-5=-4(w-1)
Answer: u = -4w + 9
Step-by-step explanation:
u - 5 = -4(w - 1)
u - 5 = -4w + 4
+5 +5
u = -4w + 9
The proper formula to solve the equation u - 5 = -4(w - 1) for w is w = (u + 9) / 4, after rearranging and simplifying the terms of the equation.
The question involves solving a linear equation with variables u and w. Initially, we have the equation u - 5 = -4(w - 1). To solve for w, we need to isolate w on one side of the equation. A statement in the information provided seems to mistakenly give the result of w, which probably arises from a typo or error, stating w = -40 - 5. However, this is incorrect given the initial equation.
Let's start by expanding the right side of the initial equation:
u - 5 = -4w + 4And then rearranging to solve for w:
Add 4w to both sides: u + 4w - 5 = 4Add 5 to both sides: u + 4w = 9Divide by 4: w = (u + 9) / 4From this process, we see that the correct formula to isolate and solve for w is w = (u + 9) / 4.
In Phoenix, Arizona, the average n umber of sunny days is 211 per year. About what percent of the year is Phoenix sunny?
Answer:
21100%
Step-by-step explanation:
Move the decimal point two places to the right.
A marketing company surveys 100 males and 100 females between the ages of 55 and 70 to determine how many times they text each day. The mean for males is 6 with a range of 4. The mean for the females is 8 with a range of 4. According to the statistics, which statement is TRUE?
A)
On average, females text more than males.
B)
On average, females text less than males.
C)
On average, females and males text about the same .
D)
On average, both males and females text 4 times each day.
Answer: I believe that A is the correct answer.
Answer:
It's A
Step-by-step explanation:
I just did this question
what is the solution to the system of equations y=x+3, y=3x+1
Substitution method
y = x + 3 (*)
y = 3x + 1 (**)
Substitute (*) to (**):
3x + 1 = x + 3 subtract 1 from both sides
3x = x + 2 subtract x from both sides
2x = 2 divide both sides by 2
x = 1Put the value of x to (*):
y = 1 + 3
y = 4Answer: x = 1 and y = 4 → (1, 4).Write an exponential function to model the following situation
A population of 140,000 grows 4% per year for 16 years .
How much will the population be after 16 years?
Answer:
[tex]y = 140000(1.04)^{x}[/tex]; 262 000
Step-by-step explanation:
The general formula for an exponential function is
[tex]y = a(b)^{x}[/tex]
a = 140 000; b = 1.04; x = 16
[tex]y = 140000(1.04)^{x}[/tex]
y = 140 000(1.04)¹⁶
y = 140 000 × 1.873
y = 262 000
The graph below shows the population growth over time.
Final answer:
An exponential function to model the population growth is P(t) = P_0 * e^{rt}, where the initial population P_0 is 140,000, the rate of growth r is 0.04, and the time t is 16 years. The population after 16 years is calculated by P(16) = 140,000 * e^{0.64}.
Explanation:
To model the population growth, we can use the formula for exponential growth which is P(t) = P_0 e^{rt}, where:
P(t) is the future population after time t,
P_0 is the initial population size,
e is the base of natural logarithms (approximately equal to 2.71828),
r is the rate of growth (expressed as a decimal), and
t is the time in years.
In the given situation, the initial population P_0 is 140,000, the growth rate r is 4% per year which is 0.04 when expressed as a decimal, and the time period t is 16 years. Plugging these values into the formula:
P(16) = 140,000 * e^{0.04 * 16}
To calculate the future population after 16 years, solve the equation:
P(16) = 140,000 * e^{0.64}
Using a calculator to compute e^{0.64}, and then multiplying by 140,000, we obtain the future population.
find the slope of the line through each pair of points.
Calculate the measure of angle x
Answer:
x =56.4 degrees
Step-by-step explanation:
For right triangles, we know that the sin x = opposite/ hypotenuse
sin x = 20/24
Taking the arcsin of each side
arcsin (sin x) = arcsin (20/24)
x = 56.44269024 degrees
To the nearest tenth
x =56.4 degrees
Anu bought an air cooler as shown below. Its water tank is in the shape of a cuboid and can take 40 litres of water. Its dimensions are 50cmx 20cm. What will be the length of the water tank?
Answer:
40 cm
Step-by-step explanation:
Using the conversion
1 litre = 1000 cm³, then
40 litres = 40 × 1000 = 40000 cm³
The volume ( V) of a cuboid is
V = lbh ( divide both sides by bh )
l = [tex]\frac{V}{bh}[/tex] = [tex]\frac{40000}{50(20)}[/tex] = [tex]\frac{40000}{1000}[/tex] = 40 cm
Length of water tank is 40 cm
Given that;
Capacity of tank = 40 liters
Dimensions of tank = 50cm × 20cm
Find:
Length of water tank
Computation:
Capacity of tank = 40 liters
Capacity of tank = 40 × 1000
Capacity of tank = 40,000 cm³
Length of water tank = 40,000 / [50cm × 20cm]
Length of water tank = 40,000 / 1,000
Length of water tank = 40 cm
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A dozen eggs cost 3.84. At this rate how much wood 50 eggs cost
Answer:
$16
Step-by-step explanation:
A dozen is equal to 12 eggs. In order to find the amount for 50 eggs, we need to find the unit rate. In this problem, we can assume that each of the eggs cost the same amount. Therefore, we can divide 3.84 by 12 to get the amount of one egg.
3.84/12= 0.32
Now that we have found the unit rate, we simply have to multiply it by 50 to get the cost. To explain why we do this, I will set it up as a proportion.
3.84/1 = ?/50
In order to get the equivalent amount you must multiply by 50.
0.32 x 50= 16
Therefore, the answer is $16
The cost of 50 eggs is $16.
Given that, a dozen eggs cost $3.84.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, the cost of one egg = 3.84/12
= $0.32
Now, the cost of 50 eggs
= 50 × 0.32
= 16
Therefore, the cost of 50 eggs is $16.
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x + 2y = 5
x - 3y = 7
What is the value of the y-determinant?
-2
-1
2
Answer:
y-determinant = 2
Step-by-step explanation:
Given the following system of equation:
x + 2y = 5 x - 3y = 7Let's represent it using a matrix:
[tex]\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] = \left[\begin{array}{ccc}5\\7\end{array}\right][/tex]
The y‐numerator determinant is formed by taking the constant terms from the system and placing them in the y‐coefficient positions and retaining the x‐coefficients. Then:
[tex]\left[\begin{array}{ccc}1&5\\1&7\end{array}\right] [/tex]
y-determinant = (1)(7) - (5)(1) = 2.
Therefore, the y-determinant = 2
PLEASE HELP QUICKLY!!! BRAINLIEST!!!
Answer:
3/1
Step-by-step explanation:
think in this question we have to find the ratio .
Question:
There are 9 tennis balls in 3 cans. What is the RATIO of number of tennis balls to number of cans?
Solution:
Given:
Number of tennis ball= 9
Number of cans = 3
Ratio of number of tennis balls to number of cans= tennis ball : cans
= 9/3 = 3/1
Hence, Ratio of number of tennis balls to number of cans= tennis ball : cans= 3:1
==================================================================
Hope this will help you....
Which characteristics describe the scatterplot? Check all that apply.
1.Negative Correlation
2.Positive Correlation
3.Strong Correlation
4.Weak Correlation
5.Linear
6.Nonlinear
A. Negative Association
C. Strong Association
E. Linear
Answer:
1. Negative Correlation
3. Strong Correlation
5. Linear
Step-by-step explanation:
We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.
Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.
We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.
We can also see that the slope of the line connecting all data points is approximately [tex]-1[/tex], which represents a strong negative correlation, therefore, 3rd option is correct as well.
If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.
Lia finds a second dress that was originally $72.00 and now was marked 15% off. How much did she pay for the second dress?
Answer:
The answer is $61.20
Step-by-step explanation:
First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.
what is seven decreased by 3 times some number
the answer to the question is 7-3x.
Answer:
7 - 3x
Step-by-step explanation:
let "some number" = x
"3 times x" = 3(x)
"seven decreased by" 7 -
Put together the phrases.
"seven decreased by 3 times x" is 7 - 3x
7 - 3x is your answer
~
Which expression is equivalent to 9(w+8)?
72W
9W+72
9W+8
17W
Answer:
9W + 72
Step-by-step explanation:
using the distributive property, you would multiply both the w and the 8 by 9 to obtain 9*w and 9*8. 9*w + 9*8 = 9w + 72.
This works because if you have 9 of (w+8), you have 9 w's and 9 8's. Adding these up is simply multiplying 9 by w (since there are 9 w's) and 9 by 8 (since there are 9 8's).
Answer:
I’m patty’s urge in 9W + 8
Step-by-step explanation:
I just got the question right on Edge!
find f(x).g(x) if f(x) = 3x+11 and g(x)= -2x+7
Answer:
f(x)·g(x) = -6x² -x +77
Step-by-step explanation:
Given:
f(x) = 3x + 11
g(x) = -2x+7
f(x) * g(x) = (3x+11)*(-2x+7)
= -6x²+21x-22x+77
= -6x² -x +77
what is i + 6i? You have to simplify
[tex]i=1i\\\\i+6i=1i+6i=(1+6)i=\boxed{7i}[/tex]
The two rectangles shown have equal areas. Find the value of x
Answer:
x=18
Step-by-step explanation:
We need to find the areas of the rectangles
1st rectangle
A= l*w
A = (2x+4)*9
= 18x+36
2nd rectangle
A = l*w
= 15*(3x-30)
= 45x-450
Since the area of the rectangles are equal, we set these two equations equal
18x+36 = 45x-450
Subtract 18x from each side
18x-18x+36 = 45x-18x-450
36 = 27x-450
Add 450 to each side
36+450 =27x
486 = 27x
Divide by 27 on each side
486/27 = 27x/27
18=x
4m of timber costs £33.60 what is the cost of 9m?
Answer:
£ 75.60
Step-by-step explanation:
4 m ↔ £ 33.60
1 m ↔ £ 8.40
9 m ↔ £ 75.60
The cost of one meter of timber is £8.40, calculated by dividing £33.60 by 4. To find the cost of 9 meters, multiply £8.40 by 9, resulting in a total cost of £75.60.
To determine the cost of 9 meters of timber when we know that 4 meters cost £33.60, we can use a unit rate approach. First, we need to calculate the cost of one meter of timber by dividing the total cost by the number of meters. Then, we multiply the cost per meter by 9 to find the cost of 9 meters of timber.
Find the cost per meter: £33.60 / 4 meters = £8.40 per meter.Calculate the cost for 9 meters: £8.40 per meter * 9 meters = £75.60.Therefore, the cost of 9 meters of timber would be £75.60.