A swimming pool is shown below.


Two maintenance workers correctly found the total area of the pool by adding the areas of 3 rectangles. But each worker wrote a different expression for the area.
Which could be the expressions the two workers wrote?

Solution:

Given that,

At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h

Charlene drove at an average speed of 144 km/h and took 50 minutes.

She arrived at City B at the same time as Hillary

Their distance is same

Find the ratio of speed

120 : 144

Reduce to lowest term

Hillary : charlne = 5 : 6

Find the ratio of time:

Since, speed and time are inversely propotional

Hillary : charlne = 6 : 5

Let time taken by Hiliary be 6t

Let time taken by charlene be 5t

Given that, Charlene took 50 minutes

Therefore,

5t = 50

t = 10

Thus,

time taken by Hiliary = 6t = 6(10) = 60

Thus hiliary took 60 minutes to reach

Find the time Charlene left City A

At 10 a.m., Hillary left City A

Difference between both their time = 60 - 50 = 10 minutes

Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m

Thus, Hillary left city A at 10: 10 AM

Answer:

Change the denominators to be the same by check if they are factors and then multiply top then bottom

Step-by-step explanation:

Step-by-step explanation:

FOR EXAMPLE

[tex] \frac{3}{2} \times \frac{9}{5 } = \frac{27}{10} = 2.7 \\ [/tex]

Answer:

x=7

Step-by-step explanation:

x+4=4x-17

4=3x-17

21=3x

x=7

Answer:

1 kilometer

Step-by-step explanation:

1 kilometer = 1000 meters

Therefore, a kilometer is more than a meter.

Answer:  1 kilometer

Answer:1 km

Step-by-step explanation:

1km= 1000m

So 1000m >1m

To solve this problem, let's translate the given information into a mathematical equation and then solve for the unknown number.

The problem states that "1 more than 5 times a number is 26." We can represent the unknown number by a variable, let's use "x." The phrase "5 times a number" can be translated to "5x." Hence, "1 more than 5 times a number" becomes "5x + 1."

Now, according to the problem, this expression equals 26. This gives us the following equation:

5x + 1 = 26

To find the value of x, we need to solve this equation for x. Here are the steps to do it:

1. First, we need to isolate the term with x on one side of the equation. We can do this by subtracting 1 from both sides of the equation to get rid of the "+1".

5x + 1 - 1 = 26 - 1

This simplifies to:

5x = 25

2. Next, we need to solve for x by getting rid of the coefficient 5. We do this by dividing both sides of the equation by 5:

5x / 5 = 25 / 5

This simplifies further to:

x = 5

So the number we were looking for is 5.

To summarize, if 1 more than 5 times a number is 26, then the number is 5.

Answer:

Step-by-step explanation:

B

Answer:

They won £30 in total

Step-by-step explanation:

∵ Sara and Gordon win some money

∵ They share it in the ratio 2 : 1

∵ Sara gets £20

- To solve the problem lets use the ratio method

→  Sara  :  Gordon

→  2        :  1            

→  20      :  x          

By using cross multiplication

∵ 2 × x = 1 × 20

∴ 2 x = 20

- Divide both sides by 2

∴ x = 10

∵ x represents the share of Gordon

∴ Gordon gets £10

- Add their shares to find the total

∴ The total = 20 + 10 = 30

∴ They won £30 in total

Answer:

Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?

Answer:

answer is 29

Step-by-step explanation:

Answer:

X = 8

Y = 35

Step-by-step explanation:

All you need to do to solve this problem is use the Pythagorean Theorem[tex](a^{2} +b^{2} =c^{2} )[/tex]

The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.

I have created an image for you to follow.

Answer:

[tex]y = - {10}^{x - 3} - 5[/tex]

Step-by-step explanation:

The parent exponential function given to us is

[tex]y = f(x)= {10}^{x} [/tex]

If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:

[tex]y = g(x) = - f(x - 3) - 5[/tex]

This implies that:

[tex]y = g(x) = - {10}^{x - 3} - 5[/tex]

where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units

A. Kellie's minute-per-mile pace 9 minutes per mile.

To find this, divide her time (72 minutes) by the number of miles she went (8). 72 divided by 8 is 9 minutes per mile.

B. Ashley ran 4 miles in 34 minutes. First, divide Ashley's time (102 minutes) by the number of miles she went (12). 102 divided by 12 is 8.5 minutes per mile. Then divide 34 by 8.5 to get how far she went in that time. Thus meaning 4 miles.

C. The difference in time between their 4 miles is 2 minutes. Kellie took 36 minutes to go 4 mile (4 miles times 9 minutes is 36 minutes) and Ashley took 34 minutes to go 4 miles (as stated in part B.) Lastly, subtract 34 from 36 to get the 2 minute difference.

I hope this helps!

Answer:

y= -2x +7

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Step-by-step explanation:

So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches

Answer:

4/7

Step-by-step explanation:

Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.

Answer:

4/7

Step-by-step explanation:

Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.

Answer:

Sydney is 44 years old

Step-by-step explanation:

Step 1:  Make a system of equations

d = s - 15

d + s = 73

Step 2:  Plug in s - 15 for d in the second equation and solve

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

s = 44

Answer:  Sydney is 44 years old

Answer:

Sydney is 44. I think, hope this helps!

The area of the rhombus is [tex]72 \ cm^2[/tex]

Explanation:

It is given that in a rhombus VWXY, the length of the diagonals are [tex]\mathrm{WY}=18 \ {cm}[/tex] and [tex]X V=8 \ {cm}[/tex]

The area of the rhombus can be determined by multiplying the diagonals and dividing by 2.

The area of the rhombus can be determined using the formula,

[tex]A=\frac{p q}{2}[/tex]

where p and q are diagonals of the rhombus.

Substituting the values in the formula, we have,

[tex]A=\frac{18\times 8}{2}[/tex]

Multiplying the numerator, we get,

[tex]A=\frac{144}{2}[/tex]

Dividing by 2, we have,

[tex]A=72 \ cm^2[/tex]

Thus, the area of the rhombus is [tex]72 \ cm^2[/tex]

Answer:

if rounded to 5.50 it would be: .27¢ for 1 packet

Step-by-step explanation:

5.4 divided by 20 is .27 and 5.5 divided by 20 is .275 but .28 multiplied by 20 is over 5.50 which means it would be .27 cents for 1 packet :)

Step-by-step explanation:

do 150ml*15 tubes is 2,250 ml

2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)

There is 2.25 liter of solution in all tubes.

Edwin fills 15 test tubes.

Each test tube contains 150 millilitres of solution We have to find How many liters of solution in all is there in the test tubes

There are 15 tubes contain 150 milometers of solution

150ml × 15 tubes

Therefore we get,

[tex]150ml*15 tubes =2,250 ml[/tex]

we have convert 2250 ml into l

We know that

1L =1000ml

so divide 2250 by 1000 we will get,

[tex]2,250/1000 =2.25L[/tex]

Therefore there is 2.25 liter of solution in all tubes

To learn more about the unit conversion visit:

https://brainly.com/question/13016491

Given data:

[tex]$1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex]

Plot the points [tex]1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex] on the number line.

Let us plot the first point [tex]1\frac{4}{9}[/tex].

1 unit is completed. So count after 1 (indicated) in the number line.

point after 1 is [tex]1\frac{1}{9}[/tex]

point after [tex]1\frac{1}{9}[/tex] is [tex]1\frac{2}{9}[/tex]

point after [tex]1\frac{2}{9}[/tex] is [tex]1\frac{3}{9}[/tex]

point after [tex]1\frac{3}{9}[/tex] is [tex]1\frac{4}{9}[/tex].

So, move 4 points after 1 in the number line is [tex]1\frac{4}{9}[/tex].

Now plot the point [tex]2\frac{1}{3}[/tex].

To make the denominator 9, multiply and divide numerator and denominator by 3.

[tex]$2 \frac{1}{3}=2 \frac{3}{9}[/tex]

2 unit is completed. So count after 2 (indicated) in the number line.

point after 2 is [tex]2\frac{1}{9}[/tex]

point after [tex]2\frac{1}{9}[/tex] is [tex]2\frac{2}{9}[/tex]

point after [tex]2\frac{2}{9}[/tex] is [tex]2\frac{3}{9}=2\frac{1}{3}[/tex]

So, move 3 points after 2 in the number line is [tex]2\frac{1}{9}[/tex].

The number line is attached below.

Answer:1460000 + X

Step-by-step explanation:

Answer:

y = 1.46 * 10⁶ x

Step-by-step explanation:

We can write the following equation:

Let x to represent the number of blue whales and,

let y to represent the total krill eaten by x blue whales per year

1'460,000 = 1.46 * 10⁶

y = 1.46 * 10⁶ x

Answer:

44L

Step-by-step explanation:

Mary has 20 liters of paint that have white:blue ratio of 2:3. She wants to make a new mix by adding more blue paint until the ratio becomes 1:7. That means the volume of white paint of the old mid and new mix should be the same.

The volume for the second mix will be:

old mix white paint = new mix white paint

2/(3+2) * 20L = 1/(1+7) * V2

2/5 * 20L= 1/8 V2

8L= 1/8 V2

V2= 8L * 8

V2= 64L

If the new mix volume is 64L and old mix volume is 20L, then the blue paint needed to be added will be: 64L- 20L= 44L

Answer:

im pretty sure its 14

Step-by-step explanation:

Answer:D.

The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

Step-by-step explanation:

Answer:

D.

The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

Step-by-step explanation:

Provide the values...........

Answer: 4 packages of hamburger meat.

The sequence is geometric because it decreases by a factor of 1/27.

In an arithmetic sequence, the terms change by a constant difference, while in a geometric sequence, the terms change by a constant ratio. In this case, the terms of the sequence are decreasing, and the ratio between consecutive terms is 1/27, which is a constant factor.

For example, if the sequence were arithmetic, you would see a consistent subtraction of a fixed number from one term to the next.

Therefore, the sequence is geometric because it follows the pattern of a geometric progression.

Read more on  geometric sequece https://brainly.com/question/24643676

#SPJ1