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Tcecarenko [31]
1 year ago
14

Answer the question fast it’s not an assignment or timed or none of that

Mathematics
1 answer:
erma4kov [3.2K]1 year ago
6 0

Answer:

2 pounds

Explanation:

The charge for both companies are modeled by the functions below:

• Company A: y=2x+3

,

• Company B: y=1.5x+4

When the charge of the two companies is the same, then:

2x+3=1.5x+4

The equation is then solved for x:

\begin{gathered} 2x+3=1.5x+4 \\ \text{Subtract 3 from both sides} \\ 2x+3-3=1.5x+4-3 \\ 2x=1.5x+1 \\ \text{Subtract }1.5x\text{ from both sides} \\ 2x-1.5x=1.5x-1.5x+1 \\ 0.5x=1 \\ \text{ Divide both sides by }0.5 \\ \frac{0.5x}{0.5}=\frac{1}{0.5} \\ x=2 \end{gathered}

The weight at which the charge in the two companies is the same is 2 pounds.

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Answer:

If\ old\ scale\ is\ taken:\ Length=45\ ft,\ Width=42\ ft\\\\If\ new\ scale\ is\ taken:\ Length=36\ ft,\ Width=33.6\ ft

Step-by-step explanation:

Older Scale:

2\ in=3\ ft\\\\\Rightarrow 1\ in=\frac{3}{2}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{3}{2}\ ft\\\\Length=45\ ft\\\\Width=28\ in\\\\width=28\times \frac{3}{2}\ ft\\\\width=42\ ft

New scale:

4\ in=5\ ft\\\\\Rightarrow 1\ in=\frac{5}{4}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{5}{4}\ ft\\\\Length=36\ ft\\\\Width=28\ in\\\\width=28\times \frac{5}{4}\ ft\\\\width=33.6\ ft

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We add the fees to the price of the vehicle:
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We take 100% of this number and add an additional 8.75% sales tax; 100+8.75 = 108.75; 108.75% = 108.75/100 = 1.0875:
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He paid 8% of this total as a down payment; 8% = 8/100 = 0.08:
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