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3 years ago

How many quarts are equal to 14 gallons?

Mathematics

2 answers:

sukhopar [10]3 years ago

6 0

Answer:

56 quarts.

Step-by-step explanation:

To get gallons to quarts, multiply the gallon value by 4. 14 x 4 = 56.

murzikaleks [220]3 years ago

5 0

Answer:

Step-by-step explanation:

if you multiply the volume by 4, you will get 56

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the mall is 84 meters long. the post office is 38 meters long. how much longer is the mall than the post office

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Step-by-step explanation:

length of mall=84m

length of post office=38m

how much longer is the mall than the post office=84-38= 46m

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3 years ago

Which of the following is a solution to 2cos2x − cos x − 1 = 0?

Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, $x = 0^{\circ}$

Step-by-step explanation:

Given that : $2\cos^2x -\cos x -1 =0$

Let $\cos x =y$

then our equation become;

$2y^2-y-1= 0$ .....[1]

A quadratic equation is of the form:

$ax^2+bx+c =0$ .....[2] where a, b and c are coefficient and the solution is given by;

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

$y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}$

Simplify:

$y = \frac{ 1 \pm \sqrt{1+8}}{4}$

$y = \frac{ 1 \pm \sqrt{9}}{4}$

$y = \frac{ 1 \pm 3}{4}$

$y = \frac{1+3}{4}$ and $y = \frac{1 -3}{4}$

Simplify:

y = 1 and $y = -\frac{1}{2}$

Substitute y = cos x we have;

$\cos x = 1$

⇒ $x = 0^{\circ}$

and

$\cos x = -\frac{1}{2}$

⇒ $x = 120^{\circ} \text{and} x = 240^{\circ}$

The solution set: $\{0^{\circ}, 120^{\circ} , 240^{\circ}\}$

Therefore, the solution for the given equation $2\cos^2x -\cos x -1 =0$ is, $0^{\circ}$

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3 years ago

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In basketball, baskets are worth either 2 or 3 points. A missed shot, of course, is worth 0 points. During the 2007-2208 season,

rosijanka [135]

Answer:

1.15

Step-by-step explanation:

Multiply each shot by its point value. Then add. Divide this sum by the total number of shots taken.

288*2 + 79*3 + 340*0 = 813

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288 + 79 + 340 = 707

813 / 707 = 14.992

The weighted average is approximately 1.15 points per shot.

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2 years ago