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kicyunya [14]
2 years ago
11

Alex is x years old. Addison is y years younger. Find their combined age in 10 years’ time.

Mathematics
1 answer:
stira [4]2 years ago
4 0

Answer:

x+10-y

Step-by-step explanation:

i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:

alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).

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algol13
You are looking for the shaded region that would be contained in both of the inequalities.

You have:
x+y \leq 805x+10y\ \textgreater \ 500

If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
4 0
2 years ago
6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of
PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

a=\$4.25

b=\$2.25

c=\$4.00/lb

we know that

He wants to buy a tuna sandwich, a bottle of  apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

a+b+cx \leq 8

substitute the given values

4.25+2.25+4.00x \leq 8

Solve for x

Combine like terms

6.50+4.00x \leq 8

Subtract 6.50 both sides

4.00x \leq 8-6.50

4.00x \leq 1.50

Divide by 4 both sides

x \leq 1.50/4.00

x \leq 0.375\ lbs

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0
2 years ago
After 8 years a loan grows to $75 210. If the interest was compounded annually at a rate of 8.5%, find the size of the initial l
stealth61 [152]
Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
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In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.

PV = FV / (1 + i)^n

PV = 75,210 / (1 + 0.085)⁸

PV = 75,210 / (1.085)⁸

PV = 75,210 / 1.9206

PV = 39,159.64

Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36

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2 years ago
What is the value of x in the equation below? –3 – (–8) – (–2) = x
Ghella [55]

Answer:

–3 – (–8) – (–2) = x

Step-by-step explanation:

–3 – (–8) – (–2) = x

Subtracting a negative is adding a positive

-3 +8+2 =x

Starting from left to right

5 +2 =x

7 =x

3 0
2 years ago
The table shows the percent of successful unmanned missions to Mars by each country or agency to the nearest tenth of a percent.
suter [353]

Answer:

C.) <u>India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.</u>

<u></u>

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