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1 year ago

How would you create a system of linear equations to solve using substitution for this problem?

Mathematics

1 answer:

tino4ka555 [31]1 year ago

5 0

we have

x ----> number of hats the sold

y ----> number of scarves they sold

12x+15y=690 ------> equation A

y=x+10 -----> equation B

Solve the system of equations

Using substitution Method

substitute equation B in equation A

12x+15(x+10)=690

solve for x

12x+15x+150=690

27x=690-150

27x=540

x=20

Find out the value of y

y=x+10

y=20+10

y=30

therefore

The answer is

<h2>20 hats and 30 scarves</h2>

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3 years ago

Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea

sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

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If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

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because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

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7 0

2 years ago

Can you please help me

finlep [7]

Answer:

x=10

Step-by-step explanation:

8x+10=6x+30

8x-6x=30-10

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3 0

3 years ago

A principal of $2600 is invested at 7% interest, compounded annually. How much will the investment be worth after 13 years?

AveGali [126]

Answer:

The total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.

Step-by-step explanation:

Given

Principle P = $2600

Interest rate r = 7% = 0.07

Time period t = 13 years

Compounded annually means: n = 1

To determine

Accrued Amount = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

substituting P = 2600, r = 0.07, t = 13, n = 1

$A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}$

$A=2600\left(1+0.07\right)^{1\cdot \:13}$

$A = 6266$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.

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3 years ago