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ddd [48]
3 years ago
9

The sum of two numbers is -17. Their difference is 41. Find the numbers

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Answer:

x = 12

y = -29

Step-by-step explanation:

Our given equations: x + y = -17 and x - y = 41

Solve for x and substitute.

x = -17 - y

(-17 - y) - y = 41

-17 - 2y = 41

2y = -58

y = -29

Solve for x using y

x + (-29) = -17

x = 12

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Tyler buys 3 1/2 pounds of fresh beans. The beans are on sale for $0.98 per pound. Which expressions can Tyler use to calculate
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Answer:

Step-by-step explanation:

3.5 pounds × $0.98/pound = $3.43

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3 years ago
What is the shape of the graph of the function?<br> h(t) = 0.32 - 0.5t
allsm [11]

Answer:

Answer (a) is correct

Step-by-step explanation:

This is not the same function that was given to you in the problem.

As you have typed it, this function is linear.  The one in the homework problem is exponential.

We will ignore the linear function h(t) = 0.32 - 0.5t.

We will focus on h(t) = 0.32 - 0.5^t.

If t = 0, then 0.5^t = 0.5 ^0 = 1, and so h(0) = 0.32 - 1 = -0.68  =>  (0, -0.68)

Continuing with a few other t values chosen at random:

h(1) = -0.18

h(2) = 0.07

Notice that h is increasing as x increases!

h(4) = 0.2575

and so on.

answer A is the correct one.

h(1) = 0.32 - 0.5^1 = 0.32 - 0.5 = -0.18

4 0
3 years ago
A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $243 on props,
SVETLANKA909090 [29]

Answer:

The total budget for their student film was $540

Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

∴ The total budget of the props and costumes = 100%

∵ They spent $243 on props

∵ They spent 55% of the total budget on costumes

→ Find the percentage of the props

∴ The percentage of the props = 100% - 55%

∴ The percentage of the props of the total budget = 45%

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→ Change the percent to a number by divide it by 100

∵ 45% = 45 ÷ 100 = 0.45

∴ 0.45 × total budget = 243

→ Divide both sides by 0.45

∴ The total budget = 540

∴ The total budget for their student film was $540

4 0
3 years ago
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Katyanochek1 [597]
The square root of 8 is 2.82842712475. You round to 2 decimal places and get 2.83
3 0
4 years ago
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Question 1
zhannawk [14.2K]

Answer:

12

Step-by-step explanation:

Since a die has six faces, 6 outcomes are possible

Since a coin has two faces, 2 outcomes are possible

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