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jolli1 [7]
3 years ago
5

Gina has 6 yards of ribbon. She cuts the ribbon into pieces that each measures three fourths yard. How many pieces of three four

ths yard does Gina have
Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

Given

Gina has 6 yards of ribbon.

She cuts the ribbon into pieces that each measures three fourths yard.

Find out  how many pieces of three fourths yard does Gina have

To proof

let the number of pieces of the ribbon be x.

As given in the question

Gina has of ribbon = 6 yards

She cuts the ribbon into pieces that each measures three fourths yard

Than the equation becomes

x\times \frac{3}{4} = 6

x = \frac{6 \times 4}{3}

solving the above equation

we get

x = 2 × 4

x = 8

Gina have 8 pieces of three fourths yard

Hence proved


 

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The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.​
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Answer:

The slope is 13.

The x intercept is x=\frac{-12}{13}.

The y intercept is y=12.

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}

<u>The x intercept is </u>x=\frac{-12}{13}<u>.</u>

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12

<u>The y intercept is </u>y=12<u>.</u>

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