The solution is, Sam has 5 dimes and 7 quarters.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Sam has $2.25 in quarters and dimes, and the total number of coins is 12.
let, Sam has n₁ dimes and n₂ quarters.
then, we have,
n₁*$0.10 + n₂*$0.25 = $2.25
and, we have,
n₁ + n₂ = 12
This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
Answer:
5 dimes and 7 quarters.
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b. 90°
c. 135°
d. 180°
Which situation could be described by this expression?
A.
Jack knows that he will buy 5 blue flowers. He does not know how many yellow flowers he will buy.
B.
Jack knows that each flower costs $5. He knows that he will buy 5 flowers.
C.
Jack knows that the flowers cost a total of $5. He does not know how many flowers he will get.
D.
Jack knows he will buy 5 flowers. He does not know how much each flower costs.
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