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4 years ago

12

trey made 12 out of 30 free throw shots on the basketball court. if he attempts 75 free throw shots, how many could be expect to

make

1 answer:

iris [78.8K]4 years ago

3 0

Trey could expect to make at least 45shots out of 75 attempt free throws

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Factor 3/4 out of 3/4z + 6

Alenkasestr [34]

ANSWER

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

EXPLANATION

We want to factor
$\frac{3}{4}$
out of

$\frac{3}{4} z + 6$

The first term is already having a factor of
$\frac{3}{4}$
The constant term which is the second term is not having a factor of
$\frac{3}{4}$
so we need to use a trick of multiplying and dividing by the same factor to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} }$

We can now factor
$\frac{3}{4}$
out of the right hand side to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )$
Let us rewrite the right most fraction using the normal division symbol.

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )$

We simplify to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \times \frac{4}{3} )$

This further gives us,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 2 \times 4 )$

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

5 0

4 years ago

Read 2 more answers

What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = -6?

Dmitrij [34]

Answer:

y = $\frac{3}{2}$ x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = $\frac{3}{2}$ x + 3 ← in slope- intercept form

with slope m = $\frac{3}{2}$

• Parallel lines have equal slopes, hence

y = $\frac{3}{2}$ x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = $\frac{3}{2}$ x - 4 ← equation of parallel line

3 0

3 years ago

What should be done first to evaluate the expression?

Leto [7]

Answer:

remember pemdas?

Step-by-step explanation:

Parentheses

Equal sign

Multiplication

Division

Addition

Subtraction

So you would have to divide first.

6 0

3 years ago

Read 2 more answers

What is the slope-intercept form of them equation of a line that passes through (5, -4) and has a slope of 3/4?

EastWind [94]

C is correct answer, passes through (5,-1) and also has slope of 3/4

5 0

3 years ago

Need answer please show work

Jet001 [13]

Let us set up some variabe:

height: h
base: b

Use the known information:

b = 2h + 8

Now lets find the area

Area = (1/2) * b *h = (1/2) * h * (2h + 8)

Hope that helps!

7 0

2 years ago