A swimming pool has a volume of 8000 cubic feet. Given that 1 cubic foot has a capacity of about 7.48 gallons. How many gallons of water does the pool hold ?

Answer:

For this equation there are infinite solutions.

Step-by-step explanation:

-2(6-3x)=-12+6x

-12+6x= -12 + 6x

-6                  -6

-12 = -12

0 = 0

Answer:

C, D

Step-by-step explanation:

We can solve this graphically and analytically.

Graphically, looking at the attached image below, if we graph the two inequalities and plot the points, you can find the points which are solutions by finding the points in the overlapping area.

This obviously excludes A as it only appears in [tex]y \geq x+2[/tex]

C is included as y [tex]\geq x+2[/tex] includes the point on the line.

D is obviously a solution.

B is however not a solution because is lies on the line [tex]y = \frac{-5x}{2} - 3[/tex], which the inequality excludes.

Analytically, if we can find one of the two inequalities where it is not a solution, it is not a solution of the system.

A: (0, 0)

[tex]y \geq x+2\\0 \geq 0 + 2\\0 \geq 2\\false[/tex]

A is not a solution

B: (-2, 2)

[tex]y \geq x+2\\2 \geq -2 + 2\\2\geq 0\\true[/tex]

[tex]y > \frac{-5x}{2} -3\\2 > \frac{-5(-2)}{2} - 3\\2 > 5 - 3\\2 > 2\\false[/tex]

B is not a solution

C: (0, 2)

[tex]y \geq x+2\\2 \geq 0 + 2\\2 \geq 2\\true\\\\y>\frac{-5x}{2}-3\\2 > -3\\true[/tex]

C is a solution

D:

[tex]y \geq x + 2\\6 \geq -1 + 2\\6 \geq 1\\true\\\\y > \frac{-5x}{2} - 3\\6 > \frac{-5(-1)}{2} - 3\\6 > \frac{5}{2} - \frac{6}{2}\\6 > \frac{-1}{2}\\true[/tex]

D is a solution

Answer: m=2

Step-by-step explanation:

-5m-3m+6-3=-13

-8m+3=-13

-3 -3

-8m/-8 = -16/-8

m=2

Answer:

1,200

Step-by-step explanation:

Answer: Z= -9.5

Step-by-step explanation:

write the division as a fraction

-4.75=1/2Z

Multiply both sides of the equation by 2

-9.5=Z

then swap the sides of the equation

Z= -9.5

And if they are asking for fraction form then its either

Z= - 19/2, or Z= -9 1/2

Answer:

yes the square root of 144 is 12

Step-by-step explanation:

12 x 12 = 144 and 144 divided by 12 = 12

Answer:

21.9

Step-by-step explanation:

Answer:

I would say B.120 minutes

Answer:

11/50

Step-by-step explanation:

22/100 can b reduced to 11/50 :)

Answer:

Options (1), (2) and (3)

Step-by-step explanation:

To solve this problem we will use the property,

"A system of equations will have a unique solution if slopes of the linear equations are different"

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of a line passing through (-2, 12) and (3, -23) = [tex]\frac{12+23}{-2-3}[/tex] = (-7)

Option (1)

Slope of a line passing through (-4, 17) and (5, -28) = [tex]\frac{17+28}{-4-5}[/tex] = (-5)

Option (2)

Slope of a line passing through (-2, 16) and (2, -20) = [tex]\frac{16+20}{-2-2}[/tex] = (-9)

Option (3)

Slope of a line passing through (-6, 14) and (4, -16) = [tex]\frac{14+16}{-6-4}[/tex] = (-3)

Option (4)

Slope of a line passing through (-3, 19) and (6, -44) = [tex]\frac{19+44}{-3-6}[/tex] = (-7)

Option (5)

Slope of a line passing through (-5, 32) and (3, -24) = [tex]\frac{32+24}{-5-3}[/tex] = (-7)

Slopes of options (1), (2) and (3) are different.

Therefore, Options (1), (2) and (3) will be the correct options.

Step-by-step explanation:

Let the amount of money Andre has be $A.

Spending $10 on a book = A - 10

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

Option D

Step-by-step explanation:

f(x) = -4x + 2

f(-1) = -4(-1) + 2 = 4 + 2 = 6

Answer:

Step-by-step explanation:

8x+2=3

8x=1

x=1/8

Answer:

100

Step-by-step explanation: : )

.

Answer:

$2.31

Step-by-step explanation:

You divide 27 by 11.7 to find cost per gallon, and get 2.30769230769  but it says to round to nearest cent so you round to 2.31

Answer:

B, C, and E are correct

Step-by-step explanation:

Answer:

the answers are B, C, and E

Step-by-step explanation:

got it right on edge 2021 hope this helped! :]

Answer:

81

Step-by-step explanation:

A composite number is a number that can be divisible by more than 1.

81 can be divisible by 1 and 9.

-kiniwih426

Answer:

1.7

Step-by-step explanation:

1 + 7/10

= 1 + 0.7

= 1.7

Answer:

do not end urself please ur a good guy

Step-by-step explanation:

it's b not d

Answer:

2/5

Step-by-step explanation:

You need to divide 1/4 by 5/8

Keep change flip- 1/4*8/5

the answer is 8/20

simplified- 2/5

decimal form- 0.4

[tex]\frac{5}{32}[/tex] [tex]many\ 1/4 \ cups\ servings\ are\ in\ 5/8\ cup.[/tex]

Division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in math.

According to the question

Number of 1/4 cups servings are in 5/8 cup:

Based on the given conditions:

= [tex]\frac{5}{8} \div\frac{1}{4}[/tex]

= [tex]\frac{\frac{5}{8} }{\frac{1}{4} }[/tex]

= [tex]\frac{5}{8\times4}[/tex]

= [tex]\frac{5}{32}[/tex]

[tex]\frac{5}{32}[/tex] [tex]many\ 1/4 \ cups\ servings\ are\ in\ 5/8\ cup.[/tex]

Find out more information about division here

https://brainly.com/question/1575906

#SPJ3

Answer:

f(x)= 2x(x^3-6x^2+13)

Answer:

multiple possibilities

Step-by-step explanation:

Y=5x

yx=5

it is unsolvable but have various possible answers:

y=5

x=1

(vise versa)

————

y=2.5

x=2

(vise versa)

Answer:

x>-2

Step-by-step explanation:

Answer:

[tex]x > - 2[/tex]

Step-by-step explanation:

hope u got it.

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

how you gonna go out in a pandemic?

Step-by-step explanation:

unless you're in a place where the virus was handled properly, the understandable, have a nice day.

and uhh

communication is key to a healthy relationship

Answer:

25

Step-by-step explanation:

1325 / 53 = 25

Answer:

-690/1000

Step-by-step explanation: