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8_murik_8 [283]
4 years ago
14

I have $2.40 consisting of nickels and dimes. If I have 30 coins how many of each do I have

Mathematics
1 answer:
Komok [63]4 years ago
4 0
18 dimes and 12 nickels

18 x 10 = 180
12 x 5 = 60
180 + 60 = 240



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Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

7 0
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Word problem:
Jlenok [28]

Answer:

Below.

Step-by-step explanation:

30 kg 500g + 28kg 700g

= 58kg + 1200g

= 59kg 200g.

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= 30 kg 500g - 28kg 700g

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Westkost [7]
The correct answer would be C
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On a scale drawing, a helicopter is 2.3 feet long. The scale on the drawing shows a ratio of 1 foot to 10 feet. What is the actu
andrey2020 [161]

Answer:

The actual length of the helicopter is <u>23 feet</u>.

Step-by-step explanation:

Given:

On a scale drawing, a helicopter is 2.3 feet long.

The scale on the drawing shows a ratio of 1 foot to 10 feet.

Now, to find the actual length of the helicopter.

Let the actual length of helicopter be x.

On scale drawing length of helicopter = 2.3 feet.

The scale on the drawing shows a ratio = 1:10.

Now, as ratios are given so by setting proportion we solve it:

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<em>By cross multiplying we get:</em>

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⇒ 23=x

⇒ x=23\ feet.

Therefore, the actual length of the helicopter is 23 feet.

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