A horse has a speed of 10 miles per hour. The horse has
already traveled 15 miles. How many miles will it travel in total
if it rides for another 4 hours?

Answer:

9) x = 62 10) x = 61 11) x = 7

Step-by-step explanation:

9) x + 118 = 180

- 118. - 118

x = 62

10) 2x + 3 + x - 6 = 18

Add like terms

x = 61

11) x + 16 = 4x - 5

x = 7

Answer:

[tex]x = y = z = 20[/tex]

Step-by-step explanation:

Given

[tex]Volume = 8000cm^3[/tex]

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

[tex]S = 2(xy + xz + yz)[/tex]

Volume of a box is:

[tex]V = xyz[/tex]

Make z the subject

[tex]z = \frac{V}{xy}[/tex]

Substitute 8000 for V

[tex]z = \frac{8000}{xy}[/tex]

Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]

[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]

[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]

Expand:

[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]

[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]

Differentiate S w.r.t x

[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]

Differentiate S w.r.t y

[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]

Equate both differentiation to 0

[tex]2x - \frac{16000}{y^2} = 0[/tex]

Multiply through by [tex]y^2[/tex]

[tex]2xy^2 - 16000 = 0[/tex]

[tex]2xy^2 = 16000[/tex]

Divide through by 2

[tex]xy^2 = 8000[/tex] -- (1)

[tex]2y - \frac{16000}{x^2} = 0[/tex]

Multiply through by x^2

[tex]2x^2y - 16000 = 0[/tex]

[tex]2x^2y = 16000[/tex]

Divide through by 2

[tex]x^2y = 8000[/tex] --- (2)

Divide (1) by (2)

[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]

[tex]\frac{x}{y} = 1[/tex]

[tex]x = y[/tex]

Substitute y for x in (1)

[tex]x^2y = 8000[/tex]

[tex]x^2 * x = 8000[/tex]

[tex]x^3 = 8000[/tex]

Take cube roots

[tex]x =20[/tex]

Hence;

[tex]x = y = 20[/tex]

Recall that:

[tex]z = \frac{8000}{xy}[/tex]

[tex]z = \frac{8000}{20 * 20}[/tex]

[tex]z = 20[/tex]

Hence, the dimension of the box that minimizes the surface area of the box is:

[tex]x = y = z = 20[/tex]

This question is based on the given solving an equation. Therefore, the value of n for (9n) (8n+8) is 0 and -1.

Given:

(9n) (8n+8)

We need to determined the value of n.

According to the question,

It is given that, expression (9n) (8n+8).

For finding the value of n, we would be equate the given expression is equal to zero.

⇒ (9n) (8n+8) = 0

Now, calculating the value of n. We get,

⇒ (9n) (8n)+(9n) (8)

Then, solving above expression further. We get,

⇒ [tex]\bold{72 n^2+ 72n = 0}[/tex]

Now, taking common 72 n. We get,

⇒ 72n (n + 1) = 0

⇒ 72 n = 0 and (n+1) = 0

We get,

n = 0 , -1

Therefore, the value of n for (9n) (8n+8) is 0 and -1.

For more details, prefer this link:

https://brainly.com/question/8743486

Answer:

The independent variable is the people listed

The dependent variable is three facts each person wrote down.

Answer: The answer is a rectangular pyramid.

Step-by-step explanation: The shape has a square base, with 5 sides. No traingular prism has a sqaure base.

Answer:

I think A

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer: No

Step-by-step explanation:

25.0657 is a rational number.

Explanation: Rational numbers are whole integers but can also be decimals that repeat or terminate. Decimals with no form of a repeating or terminating pattern are irrational. Because 25.0657 terminates, it’s rational.

Answer:

See explanation

Step-by-step explanation:

66: Frequency: 2

Relative Frequency: 2/30=1/15

67: Frequency: 2

Relative Frequency: 2/30=1/15

68: Frequency: 2

Relative Frequency: 2/30=1/15

69: Frequency: 3

Relative Frequency: 3/30=1/10

70: Frequency: 6

Relative Frequency: 6/30=1/5

71: Frequency: 6

Relative Frequency: 6/30=1/5

72: Frequency: 2

Relative Frequency: 2/30=1/15

73: Frequency: 5

Relative Frequency: 5/30=1/6

74: Frequency: 2

Relative Frequency: 2/30=1/15

Answer:

Choice C 1.8 Million

Step-by-step explanation:

Average rate is also known as the slope.

Since the slope formula is m=rise/run, we can set up the equation:

m= (101-11)/(2000-1950)

 = 90/50

 = 1.8

Answer:

7+4

Step-by-step explanation:

Answer:

7 + 2x

Step-by-step explanation:

Answer: 103 degrees

Step-by-step explanation:

**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.

Angle AMB=Angle M

A/2=

58/2=29 ==> Angle bisector divide an angle by half.

B/2=

96/2=48

29+48+M=180    ==> AMB is a new triangle formed inside triangle ABC.

77+M=180

M=103 degrees

AMB=103 degrees

Answer:

there is no solutions.

I hope this helps!

:D

Answer:

{13}

Step-by-step explanation:

A ∩ B ∩ C = the set of all elements that are in sets A and B and C

This is indicated in the Venn diagram by the region that is common to all three circles which is the darkly shaded region. There is only one element that is included in this region and that is 13

In roster form we write it as {13}

Answer:

OOF I MEANT A

Step-by-step explanation:

Michelle is in less debt than John

Answer:

C

Step-by-step explanation:

It is on the third out of the fourth line, hence 3/4.

hope this helped, pls mark brainliest :D

Answer:

c

Step-by-step explanation:

Answer:

that person above me is correct give me brainiest to troll them tho lol

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It rose 8 and ran 4 and slope is rise over run.

8/4 = 2

Answer:

x + 5.1 = 0

so, x = -5.1

A. -5.1 is the answer.

Answer: A) JL ≈ HF

SSS means you need to know all three sides are congruent

Answer:

width=10m

length=15m

Step-by-step explanation:

Let the width be k.

LXW=Area

5 m+ k x k=150m²

5 m x k²/5 m=150 m x m/5 m

k²=√100m

k=10 m

Answer:

20 and 21

Step-by-step explanation:

20.04 is the square root and is between 20 and 21

The statements are:

a) False

b) True

c) True

d) False.

e) True.

Here we have the two sets:

A = {2, 5, 6, 7, 9, 10) and B = {2, 5, 6}

The first statement is:

a) 3 E A

That says "the number 3 belongs to set A". That clearly is false, as the set A does not contain the element 3.

b) B C A

The statement says:

Set B is included in set A. This is true, as all the elements of set B also belong to set A.

c) A n B = {2,5,6}

This is true, that is the intersection between A and B (the intersection between two sets is the set of common elements)

d) AU B = {7,9,10}

This is false, U refers to the union between the two sets, here we should have

A U B = A = {2, 5, 6, 7, 9, 10}

e) Anø=Ø

This is true, trivially all the sets contain the element {∅}

If you want to learn more about sets:

https://brainly.com/question/2166579

#SPJ1

Answer:

Step-by-step explanation:

(-8 + 2)/2 = --6/2 = -3

(-6 + -10)/2 = -16/2= -8

(-3, -8)

Answer:

multiply the length by the width, and then multiply that by the depth

Answer:

The conversation factor is 16.387604