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Salsk061 [2.6K]
3 years ago
5

Write an equation of the line passing through (1,3) and parallel to 2x+3y = -5

Mathematics
1 answer:
azamat3 years ago
7 0

y=(-2/3)x+11/3

Step-by-step explanation:

3y=-2x-5

y=(-2/3)x-5/3

y-3=(-2/3)(x-1)

y-3=(-2/3)x+2/3

y-9/3=(-2/3)x+2/3

y=(-2/3)x+11/3

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Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?​
KIM [24]

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

8 0
2 years ago
Curtis threw 18 darts at a dartboard. 48% of his darts hit the bull’s-eye. How many darts did not hit the bull’s-eye?
Pepsi [2]
Change 48% to 0.48
0.48 x 18 = 8.64
rounded would be 9
4 0
2 years ago
A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to know how fast the car
ch4aika [34]

Answer:

72,220 inches per  minute

Step-by-step explanation:

A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches.

1 revolution = 2\pi radians

\frac{theta}{tome}=\frac{1000 \ revolution}{1 \ minuite} = \frac{1000* 2\pi }{1} =\frac{2000\pi}{1 \ minute}

Speed V= \frac{r*theta}{t}

r is the radius , theta is the angle and t is the time

We know diameter = 23  , then radius = 23/2

Speed V= \frac{23}{2}*\frac{2000\pi}{1}

Value of pi = 3.14

speed = 23000* 3.14= 72220 inches/ minute


3 0
3 years ago
Read 2 more answers
Y'all, please help a girl out. ಥ_ಥ This problem is driving me nuts, but it's simple but I can't get the answer and that's why I'
elixir [45]

Answer:

The perimeter is 22.

Step-by-step explanation:

If you turn this shape into a rectangle, the perimeter doesn't change.

The width is given, it is 7.5. The height is BC+DE = 3.5

Then the perimeter is twice the width plus twice the height:

7.5*2 + 3.5*2 = 15+7 = 22

8 0
2 years ago
The students in Mr. Sanchez's class are converting distances measured in miles to kilometers. To estimate the number of kilomete
BaLLatris [955]

Step-by-step explanation:

Abby’s Expression:

Double m, giving 2m. She then takes 20% of the result, which we can write 0.2(2m). Finally she subtracts this from 2m, giving 2m−(0.2)2m

2m − (0.2)2m

Renato’s Expression:

Divide m by 5, giving m ÷ 5 = m/5, and then multiplies the result by 8, giving:

8(m/5)

6 0
3 years ago
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