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2 years ago

Please help solve, 7th grade work (see image)

Mathematics

1 answer:

lozanna [386]2 years ago

8 0

Answer:

F) 63

Step-by-step explanation:

Find the original total stories 10 + 8 + 16 + 8 = 42.

Original ratio of Mary's stories to total stories is 8/42 or 4/21.

Then form equation 4/21 = 12/x ; multiply both sides of 4/21 by 3.

4/21 = 12/63

The students need to write 63 stories to keep the ratio of Mary's stories to total stories the same.

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Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third

KIM [24]

We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that <span>on the eighth day she biked 35 miles, so our second point is (8,35).

To relate our two point we are going to use the slope formula: </span> $m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}}$
We can infer form our points that $x_{1}=3$ , $y_{1}=20$ , $x_{2}=8$ , and $y_{2}=35$ . so lets replace those values in our slope formula:
$m= \frac{35-20}{8-3}$
$m= \frac{15}{5}$
$m=3$

Now that we have the slope, we can use the point-slope formula <span>determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: </span> $y-y_{1}=m(x-x_{1})$
$y-20=3(x-3)$
$y-20=3x-9$
$y=3x+11$

We can conclude that the equation of the line that best fit the set for Maggie’s data is $y=3x+11$ .

3 0

3 years ago

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre

german

Answer:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^2 h$

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

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2 years ago

How to find the perimeter of a square with consecutive verticie s

Lorico [155]

You add up all of the sides

6 0

3 years ago

Perform the indicated operation (2x+y)(3x^2+y)

ivanzaharov [21]

Simplify the expression

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2 years ago

4 bags of cement do 18 m² how many m^2 can be done with seven bags

nikitadnepr [17]

Answer:

31.5 m^2

Step-by-step explanation:

To find the amount for 7 bags, create a proportion.

$\frac{4}{18} =\frac{7}{y}$

To solve for y, cross multiply numerator to denominator of each fraction.

4(y) = 18(7)

4y= 126

y= 31.5

7 bags will do 31.5 m^2

5 0

2 years ago