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mamaluj [8]
2 years ago
10

A 6 pound ham will serve 14 people. How many people will a 9 pound ham serve? Set up a proportion and solve.

Mathematics
1 answer:
Ilya [14]2 years ago
7 0
The answer that you are lookin for is 20
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In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not
Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}

Furthermore,

PS=PR-RS

Finding PR and RS,

\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}

Then,

\frac{12}{PR}=\frac{TS}{15}\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}

Solving for PS,

\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}

Solve the quadratic equation in terms of PS, as shown below

\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0
1 year ago
Simplify the rational expression. 5x - 40 / 64 - x^2
Maru [420]
5x - 5 over 8 - x ^ 2
7 0
3 years ago
A . expression A
yan [13]

Answer:

answer choice B.

Step-by-step explanation:

4 0
3 years ago
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You have $15.71, chicken nuggets cost $1.49. If you buy 5 orders of chicken nuggets, how much money do you have left?
fredd [130]

Answer:

$8.26

Step-by-step explanation:

We have 15.71 total. Chicken nuggets each cost $1.49. We are ordering 5 orders of chicken nuggets, so we use multiplication. 1.49*5= $7.45. Since we spent 7.45 from 15.71, to find the rest, we subtract. 15.71-7.45 = 8.26

6 0
3 years ago
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Pls answer ASAP neeeddd
Anna007 [38]

Answer:

The answer is Tangent.

Step-by-step explanation:

Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.

So using this formula, you are able to find the value of x.

7 0
3 years ago
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