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snow_tiger [21]

2 years ago

8

Margo is putting cookies in bags for her friends. She has 36 cookies, and she wants to put them in 12 bags. She puts the same nu

mber of cookies in each bag. How many cookies does she put in each bag?

1 answer:

Nitella [24]2 years ago

5 0

Answer:

3 cookies

Step-by-step explanation:

you have 36 cookies and want to put them in 12 bags, so you have to divide 36 by 12 that equals 3

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

6 0

3 years ago

If a + b = -5 and x + y = -5, what is 6y + 6x - b - a

Novay_Z [31]

6(x +y) -(a +b) = 6(-5) -(-5)
= -25

5 0

3 years ago

10. If $5000 is invested in an account that compounds interest

Varvara68 [4.7K]

Answer:

$5000 \times {1.075}^{10} = 10305.16$

6 0

3 years ago

A pouch contains 6 red marbles and 2 blue marbles. A second pouch contains 3 red marbles and 7 blue marbles. A marble will be dr

aksik [14]

Answer:

2/8

Step-by-step explanation:

because there are 2 blue marbles

add those up with the red marbles(6) and you get 8 marbles. But the chance for picking up a blue marble would be 2/8

4 0

3 years ago

Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

Irina18 [472]

A prism is rectangular shaped,. a pyramid is triangular shaped.

The ratio would be 1 to 3

The formula for the pyramid is V = 1/3Bh

8 0

4 years ago