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3 years ago

mr. williams physical education class lasts 7/8 hour. how many minutes are spent warming up and cooling down if they spent 3/10?

1 answer:

6 0

7/8 of an hour is 52.5 minutes. 3/10 of 52.5 minutes is 15.75 minutes. They spent 15.75 minutes warming up and cooling down.

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The measure of an angle is 9°. what is the measure of a complementary angle?

MaRussiya [10]

Complementary angles sum upto 90°
so the complement of 9° = 81°

8 0

2 years ago

PLSSSSSS HELP BRAINLIST

Helga [31]

Answer:

The step 4 is not what he should have done. But the wrong is step 5, because if he added -2x both sides, it would give the following equation:

$x-12=-4x+6$

and not $x-12=6$

Note that in step 4 he should have added 2x and not -2x to both sides, but we still have the equality. The problem is that step 5 is totally wrong.

I don't know what answer is expected to this question, but I would mark step 5, because this is mathematically wrong.

Solving the equation

$3(x-4)=-4-2(x-5)$

Using distribution

$3x-12=-4-2x+10\\3x-12=-2+6$

Add $2x$ both sides

$3x-12+2x=-2x+6+2x$

$5x-12=6$

Add 12 both sides

$5x-12+12=6+12\\5x=18$

Divide both sides by 5

$x=\frac{18}{5}$

4 0

3 years ago

Work out m and c for the line: 3 y + 6 x = − 3

Usimov [2.4K]

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

${ \rm{y = mx + c}}$

m is the slope
c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

${ \rm{3y + 6x = - 3}}$

• let's make y the subject in order to make the equation in slope - intercept format.

→ remember to apply "subject making knowledge"

${ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}$

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

${ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}$

8 0

2 years ago

Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &

Aloiza [94]

Answer:

Option C $-6$

Step-by-step explanation:

we have

$21\leq -3(x-4)$

The compound inequality can be divided into two inequality

$21\leq -3(x-4)$ -----> inequality A

$-3(x-4)$ ----> inequality B

Solve inequality A

$21\leq -3x+12$

$9\leq -3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$-3\geq x$

Rewrite

$x\leq -3$

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

$-3x+12$

$-3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x>-6$

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

$-6$

3 0

3 years ago

What is the volume of this rectangular prism?

tangare [24]

180
This is because 12x5x3 = 180

5 0

1 year ago

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