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3 years ago

A large order of cheesy fries costs $7. How much would it costs to buy three orders of cheesy fries?

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

21 dollars

Step-by-step explanation:

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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t

belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.

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1 year ago

How many thousands are in 440000

wel

There are 440 thousands :)

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3 years ago

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An interval has the notation (-6,-2). find the midpoint

notka56 [123]

<span>(6+8)/2 = 14/2 = 7 hope this helps

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3 years ago

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Adult tickets for the zoo are $10.75 each and child tickets are $5.50 each. How much would a family with two adults and three ch

cupoosta [38]

You'd start off by adding the 2 adults together (10.75 + 10.75) which would equal 21.50 dollars. Now you take the three kids together (5.50 +5.50+5.50) which would equal 16.50 dollars.
Now you just take the 16.50+21.50 and add those together---- 38 dollars

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3 years ago

The ratio of boys to girls at a movie is 3:4 . If there are 16 girls , how many boys are at the movie?

Annette [7]

Answer:

12 boys

Step-by-step explanation:

Set up a proportion: $\frac{3}{4} = \frac{x}{16}$
Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12

I hope this helps!

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3 years ago

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