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kolezko [41]
3 years ago
11

for school mr. taylor bought 10 packs of paper at $0.55 each and 6 packs of pencils at $0.75 each. Exprees what she purchased ma

thematically
Mathematics
2 answers:
ikadub [295]3 years ago
5 0
Value=amount times cost per unit

paper=10 times 0.55
pencils=6 times 0.75

she bought 10 paper and 6 pencils
cost=10*0.55+6*0.75=$10.00 total


Effectus [21]3 years ago
3 0
0.55 x 10= $5.50

0.75 x 6= $4.50
total is $10.00


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Please help
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Answer:

25 in x 15 in

Step-by-step explanation:

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Let width = x

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\begin{aligned} \implies \textsf{Area of original picture} & = \sf width \times length\\& = x\left(\dfrac{3}{5}x\right)\\& = \dfrac{3}{5}x^2\end{aligned}

We are told the area of the enlarged picture is 375 in².  Therefore, substitute this into the equation and solve for x to find the width of the enlarged picture:

\begin{aligned}\textsf{Area} & = 375\\ \implies \dfrac{3}{5}x^2 & = 375\\ x^2 & =375 \cdot \dfrac{5}{3}\\ x^2 & =625\\ x & = \sqrt{625}\\ x& = 25\end{aligned}

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Substitute the found value of x into the expression for length to find the length of the enlarged picture:

\begin{aligned}\sf Length & = \dfrac{3}{5}x\\\\\implies \sf Length & = \dfrac{3}{5}(25)\\\\& = 15\: \sf in\end{aligned}

Therefore, the dimensions of the enlarged picture are <u>25 in x 15 in</u>.  The width is 25 in and the length is 15 in, as the length is 3/5 of the width.

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