$x {}^{2} + 28 = - 11x \\ x {}^{2} + 11x + 28 = 0 \\ x {}^{2} + 7x + 4x + 28 = 0 \\ x(x + 7) + 4(x + 7) = 0 \\ (x + 4)(x + 7) = 0 \\ \\ x = - 4 \: \: \: \: \: \: \\ \: x = - 7$

4 0

3 years ago

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Malcom is filling bags with rice . He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pounds of rice . H

timama [110]

Answer:

Malcolm would fill 8 bags of rice.

Step-by-step explanation:

The size of the container of rice = 5 $\frac{1}{4}$ pounds = $\frac{21}{4}$ pounds.

Each bag of rice has a capacity of $\frac{5}{8}$ pounds.

The number of bags of rice that Malcolm fills = $\frac{total quantity of rice}{capacity of each bag}$

= $\frac{21}{4}$ ÷ $\frac{5}{8}$

= $\frac{21}{4}$ x $\frac{8}{5}$

= $\frac{42}{5}$

= 8 $\frac{2}{5}$

Therefore, Malcolm would be able to fill 8 bags of rice.

6 0

3 years ago

In a coordinate plane, what is the distance between (4,-8) and (4, -12)?

Marina86 [1]

Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4

7 0

3 years ago

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