A fitness center will install a square hot tub in a 6 meter by 6 meter room. They want the tub to fill no more than 75% of the room’s area.

What is the maximum area of the hot tub?

What are the dimensions of the hot tub, to a tenth of a meter, that the fitness center will order from the manufacturer?

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                                                Question 1)

Answer:

The slope between  (-5, -20) and (9, 9) is:

[tex]m=\frac{29}{14}[/tex]

Step-by-step Explanation

Given the points

Finding the slope between (-5, -20) and (9, 9)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-20\right),\:\left(x_2,\:y_2\right)=\left(9,\:9\right)[/tex]

[tex]m=\frac{9-\left(-20\right)}{9-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{29}{14}[/tex]

Therefore, the slope between  (-5, -20) and (9, 9) is:

[tex]m=\frac{29}{14}[/tex]

                                        Question 2

Answer:

the slope between (18, -5) and (18, 20) is undefined.

Step-by-step Explanation

Given the points

As the x-values of the points are the same. It indicates that the given line is vertical.

Finding the slope between (18, -5) and (18, 20)

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [20 - (-5)] / [18 - 18]

               = [20+5] / [0]  

               = 25/0

               = ∞ or undefined

Thus, the slope between (18, -5) and (18, 20) is undefined. It indicates that the line is vertical.

Hence, the slope between (18, -5) and (18, 20) is undefined.

One gallon is equivalent to 128 fluid ounces

3 gallons is equivalent to 3*128 fluid ounces

= 384 fluid ounces

One plastic cup can hold 12 guide ounces

So cups needed will be 384/12

32 cups

Mr. Cruz can completely fill 32 plastic cups with the water from the cooler.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The 3-gallon water cooler contains 3 x 128 = 384 fluid ounces of water.

We can divide the total amount of water in the cooler by the amount of water each plastic cup can hold to find out how many cups can be completely filled:

384 fluid ounces / 12 fluid ounces/cup = 32 cups

Therefore, he can completely fill 32 plastic cups with the water from the cooler.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

96 cm²

Step-by-step explanation:

Area of a parallelogram A = bh where b = base = 12 cm and h = height = 8 cm.

So, A = 12 cm × 8 cm

A = 96 cm²

So, the area of the parallelogram with base 12 cm and height 8 cm is 96 cm².

Answer:

lol

Step-by-step explanation:

Yeah i have no clue but good luck

[tex]-3-4x\leq 21 \\~\\-3-4x+3\leq 21+3 \\~\\-4x \leq 24[/tex]

When you multiply both sides by a negative number, you have to flip the inequality.

[tex]-4x\cdot \left(-\dfrac{1}{4}\right) \geq24\cdot \left(-\dfrac{1}{4}\right) \\~\\x \geq-6[/tex]

You could also solve by doing this:

[tex]-4x \leq 24 \\~\\-4x +(4x-24) \leq 24 +(4x-24) \\~\\-24 \leq 4x \\~\\-6\leq x[/tex]

If -6 is less than or equal to x, then x is greather than or equal to  -6.

Step-by-step explanation:

Electric potential energy UE=Ke.RQqso UE∝R1

so to increase Ue by 16 times you gotta reduce R(distence) by 16 times

Answer:

d.11-x<-18

put the value of x in inequality and identify.

Given:

A straight-line graph  has gradient 4  and crosses the y axis at (0, −3).

To find:

The equation of the given graph.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope of the line and b is the y-intercept.

A straight-line graph  has gradient 4. It means the slope of the line is 4.

[tex]m=4[/tex]

Line crosses the y axis at (0, −3). So, y-intercept is -3.

[tex]b=-3[/tex]

Putting m=4 and b=-3 in (i), we get

[tex]y=(4)x+(-3)[/tex]

[tex]y=4x-3[/tex]

Therefore, the equation of the given line graph is [tex]y=4x-3[/tex].

#1

[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]

[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]

[tex]\\ \tt\hookrightarrow 2x=32[/tex]

[tex]\\ \tt\hookrightarrow x=16[/tex]

#2

[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]

[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 32x=192[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

Answer:

The class grew by 14.5%

Step-by-step explanation:

When you add 14.5% of 28 to the 28 you should get about 32. :)

Answer:

oh thats easy

Step-by-step explanation:

it really w

asy

Answer:

2. $3

Put down 20 and multiply 20 times .15 and you get your answer.

Answer:

Amanda's

Step-by-step explanation:

Given :

3/6 + 2/4

The L. C. M of 6 and 4 = 12

(6 + 6) / 12

12 / 12

= 1

Renne's result = 5/10

Amanda's result = 1 whole

Hence, Amanda's result makes more sense.

Answer:

m<9=130 it also equal to 180 so 130-180 makes m<4= 50

Let N be the number of stickers Carl have and K be the number of stickers he bought at Saturday.

[tex]N = K-9 +3[/tex]

[tex]N = K-6[/tex]

Answer:

y=12.4

Step-by-step explanation:

22/5 is 4.4

so the numbers in the bracket must equal to 4.4

so y is 12.4

Answer:

62/5 or 12 2/5

Step-by-step explanation:

22 = 5(y-8)

22 = 5y - 40

5y−40=22

Add 40 to both sides

5y−40+40=22+40

5y = 22+40

5y=62

Isolate the variable.

5y/5 = 62/5

Answer:

Step-by-step explanation:warm the food up.

offer strong-smelling foods.

try different brands of pet food.

try hand feeding.

check your husky nose is clean (the smell of food may help stimulate their appetite)

Answer:

The answer is 33.

Step-by-step explanation:

4x^2 + 13 - 2y, x=3 y=8

In order to evaluate this, you just need to plug the x and y in the expression:

= 4(3)^2 + 13 - 2(8)

= 4(9) + 13 - 16

= 36 + 13 - 16

= 33

Answer:

The answer is option 1.

Step-by-step explanation:

In order to solve x, you have to make x the subject, by multiplying each sides by 5, to get rid of 5 on the left side.

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

[tex] \frac{x}{5} \times 5 = 8 \times 5[/tex]

[tex]x = 40[/tex]

Answer:

-2.5

Step-by-step explanation:

Using the sine rule, a/sinA = b/sinB.

So, sinB = bsinA/a

substituting sinA = -1, a = 10 and b = 4, we have

sinB = 10 × (-1)/4

= -10/4

= -5/2

= -2.5

Answer:

49

Step-by-step explanation:

167 = 21 + (3x - 1)

167 = 20 + 3x

3x = 147

x = 49

Answer is 49

Step-by-step explanation:

167=(3x-1)+21(Exterior angle is equal to two opposite interior angle)

or,167=3x-1+21

or,167=3x+20

or,167-20=3x

or,147=3x

or,x=147/3

or,x=49

Answer:

he needs nine pages

Step-by-step explanation:

36 divided by 4 makes 9

Answer:

Factors for 44: 1, 2, 4, 11, 22, and 44. Factors for 66: 1, 2, 3, 6, 11, 22, 33, and 66.

Answer:

For 44 and 66 those factors look like this: Factors for 44: 1, 2, 4, 11, 22, and 44. Factors for 66: 1, 2, 3, 6, 11, 22, 33, and 6

Answer:

where is the question

Step-by-step explanation:

Answer:

Could be literally anything.

Step-by-step explanation:

"S" is a variable. All letters can be used, "S" has just been randomly picked. In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions.

Answer:

C.) Square root of 34

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 5^2 = c^2

9 + 25 = c^2

c^2 = 25 + 9

c^2 = 34

√c^2 = √34

Answer:

1.75 Sq. Miles

Step-by-step explanation:

1120/640 = 1.75

24

50

75

Answer:

15,600 is how much he will make in a year.

Step-by-step explanation:

There are approximately 52 weeks in a year therefore, 300*52= 15,600