Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He needs to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?

A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.

The absolute value equation that models this situation is |x –
|=

.

The two additional water stations will be
and

miles from the starting line.

Answer:

largest number =76

Step-by-step explanation:

let the consecutive integers be x,x+1,x+2,x+3

x+x+1+x+2+x+3=298

4x+6=298

4x=298-6

4x=292

x=292/4=73

numbers are 73,74,75,76

Answer:

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]

Step-by-step explanation:

From the information given:

The length of the piece of the wire  = 80 cm

When being cut into two pieces;

the length of the first wire = x

Then the length of the second(big) wire will be = 80 - x

However, when each piece is bent to a square shape

The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]

The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]

Area of a square = l² ( where l is the length of the sides)

For the first square

A₁ = [tex](\dfrac{x}{4})^2[/tex]

A₁ = [tex]\dfrac{x^2}{16}[/tex]

The area of the second(big) square is:

A₂ = [tex](\dfrac{80-x}{4})^2[/tex]

A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]

The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]

Answer:

700 calories

Step-by-step explanation:

I hope this helps!

Answer:

m = 4/3

Step-by-step explanation:

Slope of line is given by

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

where

(x1,y1) and (x2,y2) are the two points on coordinate plane.

__________________________________________

Given points

(4,5) and (7,9)

using the above formula to find slope and plugging in the given points value

we have,

slope m = (9-5)/(7-4)

m = 4/3

Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.

Answer:

see the photo

Step-by-step explanation:

hope this helps

x= -3/2

Step-by-step explanation:

y=2x+3 for the slope

move the variable to the left

divide both sides

solution solve

Answer:

4. (9, -8)

(✿◠‿◠)

Answer:

There is no way.

Step-by-step explanation:

4 x 53 = 212.

460 - 212 = 248.

The mininmum adult tickets you would need is 29 but that would go over the capacity

Answer:

A. x=9

Step-by-step explanation:

4x+16=2x+34

-2x       -2x

2x+16=34

-16       -16

2x=18

÷2    ÷2

x=9

Answer:

29 x 84 = 2436

Step-by-step explanation:

Answer:

36 is the correct answer on edge

Step-by-step explanation:

(6h^5)^2 is our expression

1. Break it up:

6 x 6, h^5 x 2

2. Solve

36, h^10

therefore:

36h^10

Answer:

36

Step-by-step explanation:

Answer:

p = 1

Step-by-step explanation:

p - 1 = 5p + 3p - 8(collect like terms)

p - 1 = 8p - 8(add 1 on each side)

p = 8p - 7(subtract 8p on each side)

-7p = -7 (divide by -7)

p = 1

Answer: a unit rate is a rate with 1

Step-by-step explanation:

Answer:

11.7

Step-by-step explanation:

Answer:

11.7 feet

Step-by-step explanation:

Area finds the length times the width (LxW). In other words, area is how long the first side is multiplied by how wide the second side is. If A=LxW, and we know A is 136, then we know that 136=LxW. This alone isn't enough to find L and W. However, we do know that the patio is a square. Squares have equal sides, so L and W will be the same number. Basically, you need to find the number that equals 136 when it's multiplied by itself. X multiplied by X needs to be 136. You can do this easily with a calculator, if you're allowed to have one. just use the square root function on 136, and be sure to round your answer. If you're not allowed to use a calculator, it's a bit more trial-and-error. Try to see what numbers multiplied by themselves get close to 136, and narrow it down from there (ex. if 11 is too little and 12 is too much, the answer is between 11 and 12). You can also look up video tutorials for how to find a square root without a calculator, or use other study platforms. I hope this helps, and feel free to ask me any questions!! :)

Answer:

(1,-1)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).

Answer:

A square + B square = C square

Step-by-step explanation:

Answer:

−2y+24

Step-by-step explanation:

Let's simplify step-by-step.

7y−4(9/4y−6)

Distribute:

=7y+(−4)(9/4y)+(−4)(−6)

=7y+−9y+24

Combine Like Terms:

=7y+−9y+24

=(7y+−9y)+(24)

=−2y+24

so the answer is....I think by putting the value 4 for X we get 5/11

Answer:

Your width is 5 feet and your length is 7!!!!!

Step-by-step explanation:

MARK AS BRAINLIEST

Answer:

224,000

Step-by-step explanation:

annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer

Answer:

156

Step-by-step explanation:

180-24-3=156

Answer:

x=6

Step-by-step explanation:

4x+5=6x-7

4x-6x=-7-5

-2x=-12

x=-12/-2

x=6

Answer: x=6

Isolate the variable by dividing each side by the factors that don't contain variables

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

Answer:She will need 12 and 1/2 cups of sugar

Step-by-step explanation:

Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2

Answer:

3,300

Step-by-step explanation: 100 times 33 equals 3,300

Answer:

3,300 tickets

Step-by-step explanation:

33 times 100 = 3,300

Answer:

x = 1

Step-by-step explanation:

6x + 6x - 7 = 5

combine like terms

12x - 7 = 5

add 7 to both sides of the equation

12x - 7 + 7 = 5 + 7

12x = 12

divide both sides of the equation by 12

12x/12 = 12/12

x = 1

Answer:

x=1

Step-by-step explanation:

The attachement below.

*Remember: This is combining like-terms and solving 2-step equations*

Answer:

0

0.054

0.405

0.45

0.54

8

Step-by-step explanation:

Answer: The number 8 goes into 40 five times, resulting in a final quotient of 2.5.

Step-by-step explanation:

Answer:

Example, the number 8 goes into 20 2.5 times, resulting in a quotient of 2.5

Step-by-step explanation:

Answer:

I guess Letter B. One Larger, More stable nucleus

It produces nearly all the elements that are heavier than helium..

Answer:

Answer A

Step-by-step explanation:

Edge 2021