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2 years ago

12

Mary spent a total of $320.92 for a party. She spent $200.20 on food, plus an additional $30.18 for each hour of the party. How

long was the party? Write an equation first!

2 answers:

Vedmedyk [2.9K]2 years ago

6 0

Answer:

4.006627

Step-by-step explanation:

TEA [102]2 years ago

6 0

Equation: 320.92=200.20+30.18x
Total spent at party = food purchase + 30.18 per hour (x)

Subtract 200.20 from both sides.
120.72=30.18x

Divide both sides by 30.18x to get the x alone.
4=x

Because x represented how many hours you were at the party, the answer is 4 hours.

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Mrs. Terrace cut a small birthday cake into 6 equal pieces for 6 children. One child was not hungry, so she gave the birthday bo

ELEN [110]

Missing part of question:

Draw a tape diagram to show how much cake each of the five children received.

Answer:

See attachment

Step-by-step explanation:

Given

$Equal\ Pieces = 6$

$Children = 5$

Required

Tape diagram to represent the scenario

Because one child is not hungry, the number of children to share the cake becomes 6.

So, first we calculate the share of each child.

$Share = \frac{Pieces}{Children}$

$Share = \frac{6}{5}$

$Share = 1.2$

See attachment for tape diagram

The tape diagram implies that:

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or

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Please. Answer Fast! Use composition to determine if G(x) or H(x) is the inverse of F(x) for the

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Answer:

A. H(x) is an inverse of F(x)

Step-by-step explanation:

The given functions are:

$F(x)=\sqrt{x-2}$

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We compose F(x) and G(x) to get:

$(F\circ G)(x)=F(G(x))$

$(F\circ G)(x)=F((x-2)^2)$

$(F\circ G)(x)=\sqrt{(x-2)^2-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+4-2}$

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$(F\circ H)(x)=F(H(x))$

$(F\circ H)(x)=F(x^2+2)$

$(F\circ H)(x)=\sqrt{x^2+2-2}$

We simplify to get:

$(F\circ H)(x)=\sqrt{x^2}$

$(F\circ H)(x)=x$

Since $(F\circ H)(x)=x$ , H(x) is an inverse of F(x)

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