All categories

3 years ago

Can you help me with #7

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

2 miles-12 min.
3 miles- 18min
4 miles-24 min
5 miles-30 min

3 miles- 18
4 miles-24
5 miles-30
6 miles-36

Yes they are the same

You might be interested in

What is the value of the expression below? 1 3/4 divided by 1/2 minus (1 1/2)^3

kogti [31]

Answer:

1/8

Step-by-step explanation:

Simplify the following:

(1 + 3/4)/(1/2) - (1/2 + 1)^3

Hint: | Write (1 + 3/4)/(1/2) as a single fraction.

Multiply the numerator of (1 + 3/4)/(1/2) by the reciprocal of the denominator. (1 + 3/4)/(1/2) = ((1 + 3/4)×2)/1:

(3/4 + 1) 2 - (1/2 + 1)^3

Hint: | Put the fractions in 1 + 1/2 over a common denominator.

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(1 + 3/4) 2 - (2/2 + 1/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

2/2 + 1/2 = (2 + 1)/2:

(1 + 3/4) 2 - ((2 + 1)/2)^3

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

(1 + 3/4) 2 - (3/2)^3

Hint: | Put the fractions in 1 + 3/4 over a common denominator.

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

4/4 + 3/4 2 - (3/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

4/4 + 3/4 = (4 + 3)/4:

(4 + 3)/4×2 - (3/2)^3

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

7/4×2 - (3/2)^3

Hint: | Express 7/4×2 as a single fraction.

7/4×2 = (7×2)/4:

(7×2)/4 - (3/2)^3

Hint: | In (7×2)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

7/2 - (3/2)^3

Hint: | Simplify (3/2)^3 using the rule (p/q)^n = p^n/q^n.

(3/2)^3 = 3^3/2^3:

7/2 - 3^3/2^3

Hint: | In order to evaluate 3^3 express 3^3 as 3×3^2.

3^3 = 3×3^2:

7/2 - (3×3^2)/2^3

Hint: | In order to evaluate 2^3 express 2^3 as 2×2^2.

2^3 = 2×2^2:

7/2 - (3×3^2)/(2×2^2)

Hint: | Evaluate 2^2.

2^2 = 4:

7/2 - (3×3^2)/(2×4)

Hint: | Evaluate 3^2.

3^2 = 9:

7/2 - (3×9)/(2×4)

Hint: | Multiply 2 and 4 together.

2×4 = 8:

7/2 - (3×9)/8

Hint: | Multiply 3 and 9 together.

3×9 = 27:

7/2 - 27/8

Hint: | Put the fractions in 7/2 - 27/8 over a common denominator.

Put 7/2 - 27/8 over the common denominator 8. 7/2 - 27/8 = (4×7)/8 - 27/8:

(4×7)/8 - 27/8

Hint: | Multiply 4 and 7 together.

4×7 = 28:

28/8 - 27/8

Hint: | Subtract the fractions over a common denominator to a single fraction.

28/8 - 27/8 = (28 - 27)/8:

(28 - 27)/8

Hint: | Subtract 27 from 28.

| 2 | 8

- | 2 | 7

| 0 | 1:

Answer: 1/8

4 0

3 years ago

Which of the fallowing points are the solution to the equation 3x-4y-8=12. Chose all that apply (0,-5) (4,-2) (8,2) (-16,-17) (-

Virty [35]

Answer:

The solutions for the equation are:

(4,-2) and (-16,-17)

Step-by-step explanation:

Given equation:

$3x-4y-8=12$

Given points:

(0,-5), (4,-2), (8,2), (-16,-17), (-1,-8), (-40,-34)

We will check each point by plugging it in the given equation and see if it satisfies the equation or not.

(0,5)

$3(0)-4(5)-8=12$

$0-20-8=12$

$-28=12$

which is not true. Hence, not a solution.

(4,-2)

$3(4)-4(-2)-8=12$

$12+8-8=12$

$12=12$

which is true. Hence, it is a solution.

(8,2)

$3(8)-4(2)-8=12$

$24-8-8=12$

$24-16=12$

$8=12$

which is not true. Hence, not a solution.

(-16,-17)

$3(-16)-4(-17)-8=12$

$-48+68-8=12$

$20-8=12$

$12=12$

which is true. Hence, it is a solution.

(-1,-8)

$3(-1)-4(-8)-8=12$

$-3+32-8=12$

$21=12$

which is not true. Hence, not a solution.

(-40,-34)

$3(-40)-4(-34)-8=12$

$-120+136-8=12$

$8=12$

which is not true. Hence, not a solution.

6 0

3 years ago

Find the volume of a hemisphere that has a diameter of 48 inches and leave your answer in terms of pie

marin [14]

Given:

Given that the diameter of the hemisphere is 48 inches.

We need to determine the volume of the hemisphere.

Radius:

The radius of the hemisphere can be determined using the formula,

$r=\frac{d}{2}$

Substituting d = 48, we get;

$r=\frac{48}{2}$

$r=24$

Thus, the radius of the hemisphere is 24 inches.

Volume of the hemisphere:

The volume of the hemisphere can be determined using the formula,

$V=\frac{2}{3} \pi r^3$

Substituting r = 24, we get;

$V=\frac{2}{3} \pi (24)^3$

$V=\frac{2}{3} \pi (13824)$

$V=9216 \pi \ in^3$

Thus, the volume of the hemisphere is 9216π cubic inches.

8 0

3 years ago

Write the equation of the line that passes through the given point and is parallel to the given line. (5, -4); y = 1/5x - 4

kow [346]

parallel = same slope

y=1/5x-4

slope= 1/5x

solve using for b using y=mx+b

-4=(1/5)(5)+b

-4=4+b

(subtract -4 from both sides)

-8=b

put your equation together:

y=1/5x-8

8 0

2 years ago

3x - 3y = 9 for D = (0,3,8)

scoray [572]

Answer:

3(x-y)

Step-by-step explanation:

8 0

3 years ago