MATHEMATICS HIGH SCHOOL

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43, point, 25. He had to pay a \$7$7dollar sign, 7 entrance fee, and \$1.25$1.25dollar sign, 1, point, 25 for every minute he was on the trampoline.

Answers

Answer 1

Answer:

Answer:

29 minutes

Step-by-step explanation:

Given

$Total = \$43.25$

$Entrance\ Fee = \$7$

$Per\ Minute = \$1.25$

Required

Determine the number of minutes (t) that he was on the trampoline.

This can be expressed as:

$Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t$

Where t represents the number of minutes

Substitute values for Total, Entrance Fee and Amount per minute

$43.25 = 7 + 1.25 * t$

$43.25 = 7 + 1.25t$

Solving further to get the value of t, we have:

$1.25t = 43.25 - 7$

$1.25t = 36.25$

$t = 36.25/1.25$

$t = 29$

Answer 2

Answer:

Answer:

29 minutes

Step-by-step explanation:

7 + 1.25t = 43.25 is the equation

How did I solve this?

I divided those two and that is how you get the equation

In total is 29 minutes

I did the Khan and it was right!

Hope this helps :)

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The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.
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Jennifer has decided to mow lawns in her neighborhood as a way to earn money. She can mow20 minutes. How many lawns can Jennifer mow in 1 hour?

of a yard in

Answers

Answer:

Jeniffer can mow 3 lawns in an hour.

Step-by-step explanation:

If It takes Jennifer 20 minutes to mow the lawn. We are also given the time she spends mowing lawns. This is 1 hour.

For our solution to be correct, we will have to first of all convert 1 hour to minutes.

1 hour = 60 minutes.

Jeniffer should be able to mow 60 / 20 lawns in an hour. This will be 3 lawns in an hour.

Solve.

4x – 6 = −3x + 8

Answers

4x - 6 = -3x + 8

Add 3x to each side: 7x - 6 = 8

Add 6 to each side: 7x = 14

Divide each side by 7: x = 2

4x – 6 = −3x + 8

4x + 3x = 8 +6
7x = 14
x = 2

Hope this helps you!!!!

50 POINTS!!!!-
The Dust Bowl hit middle America a few years after the Great Depression started, and the Dust Bowl was considered one of the causes that continued the Great Depression during the 1930’s. Explain in three sentences how this natural disaster affected America’s economy in the 1930’s?

Answers

The Dust bowl was a terrible event that caused many people to lose money. Not only that, but the fact that they lost money meant that they where contributing to the Great Depression. The Great Depression started in the US, thanks to events like the Dust Bowl.

Calculate the length of AB. Round to the nearest tenth.

Answers

Answer:

AB = 10.06 cm

Step-by-step explanation:

Consider the given figure,

We have to find the length of side AB.

Lets rename the figure first, ABCD forms a rectangle. So , CB = DA = 12 cm

Also, EA = ED +DA ⇒ 15 = ED + 12 ⇒ ED = 15 - 12 ⇒ ED = 3 cm

Pythagoras theorem states that in a right triangle the sum of square of base and perpendicular is equal to square of hypotenuse.

Using, Pythagoras Theorem on Δ EDC,

$(EC)^2=(ED)^2+(DC)^2$

ED = 3 cm , EC = 10.5, Substitute, we get,

$\Rightarrow (10.5)^2=(3)^2+(DC)^2$

Solve for DC, we get,

$\Rightarrow 110.25=9+(DC)^2$

$\Rightarrow 110.25-9=(DC)^2$

$\Rightarrow (DC)^2=101.25$

$\Rightarrow DC=√(101.25)$

$\Rightarrow DC=10.06$

Since, ABCD is a rectangle. Thus, DC = AB

Hence, AB = 10.06 cm

Answer:

AB =10.06 ≈10.1 units

Step-by-step explanation:

To answer this question we must draw a parallel line to the side AB, closing a triangle, so that we can visualize a triangle, and a square.

1) After drawing this red line. Since it's parallel we can assume it is the same length as AB. And as we have a Rectangular Triangle we can apply the Pythagoras Theorem.

The Parallelism assure us that the segment to the left below the red line measures the same if the angle is the same, namely 90º.

$10.5^(2)=3^(2)+h^(2) \n 110.25=9+h^(2) \n 110.25-9=9+h^(2) -9\n 101.25= h^(2)\n h=√(101.25)\n h=10.06 u$