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patriot [66]
3 years ago
14

Ally has a bag of candy. After dividing the candy equally among six people and eating 4 pieces of candy she had 7 pieces left. H

ow many pieces of candy did ally start with?
Mathematics
2 answers:
uranmaximum [27]3 years ago
4 0

Answer:

66 pieces of candy.

Step-by-step explanation:

First I set up the equation:   (c/6)-4 = 7

c represents the candy she started with.

6 represent when she split the candy

4 is the number of pieces she has eaten

7 is the number of pieces she has left

after setting up the equation, you want to add four to the other side to get 11

c/6 = 7+4 --> c/6 = 11

Then you want to multiply by 6 to get ride of the fraction to get a total of 66 pieces of candy.

c =  11 x 6 -->  c = 66

Neko [114]3 years ago
4 0

Answer:

6y + 11.

Step-by-step explanation:

Let the number of pieces she started with be x. Then:

x = 6y + 4 + 7

x = 6y + 11

She started with 6y + 11 pieces of candy  ( where y is a positive integer).

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Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,

m=\frac{2-4}{5-(-1)}$\\ $m=\frac{-2}{6}$\\ $m=-\frac{1}{3}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-1 for $x_{1}$, and 4 for $y_{1}$ in the above equation and simplify using the distributive property as follows,

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Step 3 of 3

Simplify the equation further.

Add 4 on each side of the equation $y-4=\frac{1}{3} x-\frac{1}{3}$, and simplify as follows,

y-4+4=\frac{1}{3} x-\frac{1}{3}+4$\\ $y=\frac{1}{3} x-\frac{1+12}{3}$\\ $y=\frac{1}{3} x-\frac{13}{3}$

This is the required linear equation.

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