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Vlada [557]
3 years ago
15

Each week Danny eats 540 grams of cereal over 8 weeks. He finishes a total of 12 boxes of cereal. Each box contains the same amo

unt of cereal. How many grams of cereal are in each box?
Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answer:

360 grams of cereal

Step-by-step explanation:

First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.

Then you have to divide the answer by 12 to get 360 grams of cereal.

I hope this helped ;)

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Which point would be a solution to the system of linear inequalities shown below? y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1 y&g
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Answer:

x < \frac{20}{17} and y \ge \frac{-5}{17}

Step-by-step explanation:

Given

y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1

Required

Find x and y

In the second equation. Assume that:

y = \frac{3}{5}x - 1\\

Substitute y = \frac{3}{5}x - 1 in the first equation

y > 4x - 5

\frac{3}{5}x - 1 > 4x - 5

Collect like terms

\frac{3}{5}x - 4x >  - 5 + 1

\frac{3}{5}x - 4x >  -4

Multiply through by 5

3x - 20x > -20

-17x > -20

Solve for x

x < \frac{20}{17}

Substitute this value of x in y \ge \frac{3}{5}x - 1

y \ge \frac{3}{5}*\frac{20}{17} - 1

y \ge \frac{3}{1}*\frac{4}{17} - 1

y \ge \frac{12}{17} - 1

y \ge \frac{12- 17}{17}

y \ge \frac{-5}{17}

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1.

(3^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=27\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=-x^2+11x+26

or if you mean (3x^3+5x^2+3x-7)+(8x-6x^2+6):

(3x^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=3x^3\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=3x^3-x^2+11x-1

2.

(8x-4x^2+3)-(x^3+7x^2+3x-8)=\\\\=\underline{8x}\ \underline{\underline{-\ 4x^2}}+3-x^3\ \underline{\underline{-\,7x^2}}\ \underline{-\,3x}+8=\\\\=-x^3-11x^2+5x+10

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Step-by-step explanation:

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