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3 years ago

PGCPS ALGEBRA 1 CR (SUMMER 2021) 793023

Mathematics

1 answer:

Harman [31]3 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.

A similar question that can be found online is:

$8x - 8 = 4x + 12$ --- to solve for x

First, collect all like terms

$8x - 4x = 8 + 12$

Distribute the expression on the left-hand side

$x(8 - 4) = 8 + 12$

$x * 4 = 8 + 12$

Simplify like terms

$x * 4 = 20$

Divide both sides by 4

$x = 5$

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Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F

Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran $3\frac{1}{2}$ laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find : About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle : $2\pi r$

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

$2\pi *0.25$

$0.5\pi$

Since $\pi =3.14$

⇒ $0.5*3.14$

⇒ $1.57$

Thus the circular track is of 1.57 miles .

Since she ran $3\frac{1}{2}$ = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence , Francine run 5.495 miles

6 0

3 years ago

65=15+x^2 solve for x

7nadin3 [17]

Answer:

±5sqrt(2) =x

Step-by-step explanation:

65=15+x^2

Subtract 15 from each side

65-15=15-15+x^2

50 = x^2

Take the square root of each side

±sqrt(50) = sqrt(x^2)

±sqrt(25*2) =x

±sqrt(25)sqrt(2) =x

±5sqrt(2) =x

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3 years ago

There are 12 swimmers in a freestyle race, with prizes for first, second, and third place. In how many ways can prizes be awarde

Molodets [167]

Answer:

Step-by-step explanation:

There's only 3 prizes thus meaning only 3 people can be awarded

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3 years ago

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KonstantinChe [14]

Answer:

m= 13/7

Step-by-step explanation:

(-5, 2) , (-12, -11)

Slope(m)

m= (y2-y1)/(x2-x1)

m= (-11 - 2)/(-12 + 5)

m= (-13)/(-7)

m= 13/7

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3 years ago

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Mazyrski [523]

Answer:

36129

Step-by-step explanation:

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