Simplify 4/16 to lowest terms and find an equivalent fraction that has a denominator of 32

What is the quotient of -3/8 and -1/3? A. -1 1/8 B. -1/8 C. 1/8 D. 1 1/8

kobusy [5.1K]

Answer:

d. 1 1/8

Step-by-step explanation:

-3 -1

---- ÷ -----

8. 3

Keep, Change, Flip.

-3/8 stays the same.

Division becomes multiplication.

-1/3 becomes -3/1

-3. -3. = 9

----- × ----- ------

8. 1. = 8

9/8 = 1 1/8

5 0

3 years ago

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Find the measure of ∠x. A) 45° Eliminate B) 46° C) 56° D) 66°

Doss [256]

D. 66

A triangles angles add up to 180 degrees so 90 + 24 = 114
180 - 114 = 66

4 0

3 years ago

Each big square below represents one whole.

lapo4ka [179]

Answer:

119% i think

Step-by-step explanation:

there are two squares

one is completely filled so its 100% shaded

the other has 19 mini squares filled so it's 19%

add those and you get 119%

8 0

3 years ago

The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals

Citrus2011 [14]

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by $f(x)=-0.11x^2+2.2x+1$ . The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

$x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}$ .

In this scenario, the highest/lowest points is $c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise). Then, we can proceed as follows. [tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1$

We will complete the square for $x^2-20x$ . In this case b=-20, so

$f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1$

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

$f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12$

So, the highest point in the ball's trajectory is 12 feet.

5 0

4 years ago

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A sandbox is 1 1/3 feet tall, 1 5/8 feet wide,and4 1/2 feet long. How many cubic feet of sand will it hold

Ksivusya [100]

Volume=legnth times width times height
convert all to iimporper fractions first for ease
1 and 1/3=1+1/3=3/3+1/3=4/3

1 and 5/8=1+5/8=8/8+5/8=13/8

4 and 1/2=4+1/2=8/2+1/2=9/2

multiply them
volume=(4/3) times (13/8) times (9/2)
volume=(4 times 13 times 9)/(3 times 8 times 2)
volume=468/48
volume=39/4
volume=9 and 3/4 cubic feet

8 0

4 years ago

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