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3 years ago

8

A sandwich shop sells sandwiches for $5.00 each (tax included). On Friday afternoon, the shop received a total of $75.00 for the

sale of sandwiches. Write and solve an equation we can use to determine the quantity of sandwiches (x) sold that afternoon.

1 answer:

matrenka [14]3 years ago

4 0

Answer:

75/5=x

Step-by-step explanation:

take the total sales divided by the unit price to give you the number of units

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How do you solve this

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Step-by-step explanation:

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5 0

3 years ago

5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you

zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

$5^{2x-1}+5^{x+1}=250$

Separate each exponential:

$5^{2x}5^{-1}+5^{x}5^{1}=250$

Operating:

$\displaystyle \frac{5^{2x}}{5}+5^{x}5=250$

Multiplying by 5:

$5^{2x}+25\cdot5^x=1250$

Rearranging:

$5^{2x}+25\cdot5^x-1250=0$

Recall that:

$5^{2x}=(5^{x})^2$

$(5^{x})^2+25\cdot5^x-1250=0$

Calling

$y=5^{x}:$

$y^2+25y-1250=0$

Factoring:

$(y-25)(y+50)=0$

There are two possible solutions:

y=25

y=-50

Since

$y=5^{x}$

y cannot be negative, thus:

$5^{x}=25=5^2$

The solution is:

x = 2

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3 years ago