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Ad libitum [116K]
2 years ago
13

Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When

will they both have the same amount of money in the bank?
Mathematics
1 answer:
umka21 [38]2 years ago
5 0

They will both have the same amount in the bank after 10 weeks

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, we have

<u>Nancy</u>

Initial = 400

Rate = 10

So, the equation is

y = 400 + 10x

<u>700</u>

Initial = 700

Spending = 20

So, the equation is

y = 700 - 20x

When they both have the same amount of money in the bank, we have

700 - 20x = 400 + 10x

Evaluate the like terms

30x = 300

Divide by 30

x = 10

Hence, they will both have the same amount in the bank after 10 weeks

Read more about linear equations at:

brainly.com/question/1884491

#SPJ1

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Step-by-step explanation:

Let square with length 5cm be represented with A, and square with 7cm be represented with B.

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Square A will have an area of 5² = 25cm²

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3 years ago
Find the measurement of HI
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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There
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<u>Answer:</u>

W = 30T + 500

<u>Step-by-step explanation:</u>

We are given that water is added in the pond at a rate of 30 liters per minute and there are total 500 liters in the pond to start.

So assuming W to be the amount of water in the pond (in liters) and T to be the the number of minutes that water has been added, we can write an equation:

W = 30T + 500

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4 years ago
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 feet, 8 f
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<h3>Answer: Choice A</h3>

========================================================

Explanation:

The left side 6^2+8^2 simplifies to 100 since 6^2+8^2 = 36+64 = 100

The right side is also 100 because 10^2 = 100

So 6^2+8^2 = 10^2 is a true equation because both sides are the same number.

Therefore, a triangle with sides 6,8,10 is a right triangle. The hypotenuse 10 is the longest side opposite the 90 degree angle. In other words, the 90 degree angle is between the sides 6 ft and 8 ft.

So this is why choice A is the final answer.

-----------

Choice B is false because the inequality 8^2+10^2 < 11^2 becomes 164 < 121 which is also false. Even if that inequality was true, we can't use it to form a right triangle. We need both sides to be equal.

Choice C is false because we need to have both sides equal to the same number. We need to have a^2+b^2 = c^2 to be true if we want a right triangle with sides a,b,c.

Choice D is false because of the phrasing "Draw any two of the sides with a right angle between them". The 90 degree angle must go between the 6 and the 8, and nowhere else.

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