Christopher runs a farm stand that sells apples and bananas. Yesterday Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Today he sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. Determine the price of each pound of apples and the price of each pound of bananas.

Answer:

The height is 3.183 cm.

Step-by-step explanation:

The volume [tex]V[/tex]of a cylinder with base radius [tex]r[/tex] and height [tex]h[/tex] is given by

[tex]V = \pi r^2h[/tex]

Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:

[tex]h= \dfrac{V}{\pi r^2 }.[/tex]

For our graduated cylinder,

[tex]V = 490cm^3[/tex]

[tex]r = 7cm[/tex];

therefore,

[tex]h = \dfrac{490cm^3}{\pi (7cm)^2 }[/tex]

[tex]\boxed{h = 3.183\:cm}[/tex]

Thus, the height of the graduated cylinder is 3.183 cm.

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:

52 years old

Step-by-step explanation:

let this mans age be a

400-3a=244

400=244+3a

400-244=3a

156=3a

a=52

Answer:

52 years old

Step-by-step explanation:

Let x= man's age

400-3x=244

-3x=-156

x=52

The man is 52 years old.

Step-by-step explanation:

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

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:

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:

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

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!

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:

The correct answer is A.

Answer:

What is the question?

Step-by-step explanation:

There's no definitive question being asked.

Answer:

-3

Step-by-step explanation:

...

Answer: 4 packages of hamburger meat.

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:

y= -2x +7

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

im pretty sure its 14

Step-by-step explanation:

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

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

Answer:

answer is 29

Step-by-step explanation:

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:

Step-by-step explanation:

B

The area of a trapezoid is given by:

[tex]A=\frac{(B_{1}+B_{2})h}{2} \\ \\ \\ A;Area \\ \\ B_{1}:First \ base \\ \\ B_{2}=Second \ base \\ \\ h:Heigth[/tex]

So given the equation:

[tex]\frac{( 12 + 14 )h}{2} = 52[/tex]

We can write a real problem as:

The bases of a trapezoid are [tex]12cm \ and \ 14cm[/tex] and the area of it is [tex]52cm^2[/tex]. What is the height of the trapezoid?

Solving:

[tex]\frac{( 12 + 14 )h}{2} = 52 \\ \\ 26h=104 \\ \\ h=\frac{104}{26} \\ \\ h=4cm[/tex]

Finally, the height of the trapezoid is 4cm

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.

[tex]\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78[/tex]

Final answer:

The measure of ∠A, when ∠A and ∠B are supplementary, is found to be 78° after setting up an equation, simplifying it, and solving for x.

Explanation:

If ∠A and ∠B are supplementary angles, the sum of their measures is 180°. We have m∠A=(3x+18)° and m∠B=(5x+2)°. Set up an equation to find the value of x:

3x + 18 + 5x + 2 = 180.

Simplify and solve the equation:

8x + 20 = 180

8x = 160

x = 20

Now, substitute x back into the expression for m∠A:

m∠A = 3(20) + 18

m∠A = 60 + 18

m∠A = 78°

So, the measure of ∠A is 78°.

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 :)

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:

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: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