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Nady [450]

<h3>Multiplication Property of Equality is the missing reason</h3>

Solution:

Given that,

five thirds times x plus 2 equals negative 3

Therefore,

$\frac{5}{3}x + 2 = -3$

Multiplication Property of Equality

The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal

$\frac{5}{3}x + 2 = -3$

Multiply both sides by 3

$3(\frac{5}{3}x + 2) = -3 \times 3\\\\5x + 6 = -9$

Subtraction Property of Equality

The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true

5x + 6 = -9

Subtract 6 from both sides

5x + 6 - 6 = -9 - 6

5x = -15

Division Property of Equality

The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true

5x = -15

Divide both sides by 5

x = -3

4 0

2 years ago

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How to calculate the circumference

miv72 [106K]

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.
If a circle has a diameter of 4, its circumference is 3.14*4=12.56.
If you know the radius, the diameter is twice as large.

3 0

2 years ago

In April 1974, Steve Prefontaine completed a 10 km race in a time of 27 min, 43.6 s. Suppose "Pre" was at the 7.15 km mark at a

ELEN [110]

Answer:

0.2583 m/s²

Step-by-step explanation:

The relationship between speed, distance, and time is ...

speed = distance/time

Of course, the relationship between the various units of measure is ...

1 km = 1000 m
1 min = 60 s

The average speed for the first 7.15 km was ...

(7150 m)/(1500 s) = 4 23/30 m/s

The acceleration is considered to be uniform over the 60-second period. The distance traveled during that time will be the same as the distance traveled at the initial speed for 30 s plus that traveled at the final speed for 30 s. That is, we can compute the final speed as though "Pre" ran 25.5 minutes (1530 s) at his initial speed and the remaining time (133.6 s) at his final speed.

The distance for 25.5 minutes at 4 23/30 m/s is ...

(1530 s)(143/30 m/s) = 7293 m

The remaining distance is then ...

10,000 -7,293 = 2,707 . . . meters

And the final speed is ...

(2707 m)/(133.6 s) ≈ 20.262 m/s

The acceleration is the change in speed divided by the time period:

(20.262 m/s -4.767 m/s)/(60 s) ≈ 0.2583 m/s²

_____

Comment on these numbers

According to this scenario, Pre's speed for the last 2000 meters, sustained for more than a minute, was more than 20 m/s -- about double the world record speed for a 100 meter sprint. It was a little more than 4 times his speed for the first 25 minutes.

5 0

3 years ago

Please need help Please

Gekata [30.6K]

Answer: 14/11

Step-by-step explanation:

When 14/11 is multiplied by 1/4, you get a repeating decimal. All repeating decimals are rational.

Hope it helps <3

8 0

3 years ago

The volume of a rectangular prism is 165 cubic inches. If the length of a rectangular prism is 11 inches and the width is 3 inch

choli [55]

Answer:

The height is 5 inches

Step-by-step explanation:

V = l*w*h where l is length, w is width and h is height

165 = 11*3 * h

165 = 33h

Divide each side by 33

165 /33 = 33h/33

5 = h

The height is 5 inches

7 0

3 years ago

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