Anderson’s Nursery was choosing between two different greenhouses.

2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.


Which statements are true about the greenhouses? Select two options.

The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.

Answer:

x=4

Step-by-step explanation:

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE

Answer:

12. [tex]x=10[/tex]

13. [tex]x=4[/tex]

14. [tex]x=5[/tex]

15. [tex]x=1[/tex]

16. [tex]x=8[/tex]

17. [tex]x=14[/tex]

Step-by-step explanation:

for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])

[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse

12.

[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =200[/tex]

[tex]x^{2} =100[/tex]

[tex]x=10[/tex]

13.

[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =32[/tex]

[tex]x^{2} =16[/tex]

[tex]x=4[/tex]

14.

[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =50[/tex]

[tex]x^{2} =25[/tex]

[tex]x=5[/tex]

15.

[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =2[/tex]

[tex]x^{2} =1[/tex]

[tex]x=1[/tex]

16.

[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =128[/tex]

[tex]x^{2} =64[/tex]

[tex]x=8[/tex]

17.

[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =392[/tex]

[tex]x^{2} =196[/tex]

[tex]x=14[/tex]

Answer:

29xy

Step-by-step explanation:

Answer:

319

Step-by-step explanation:

just because work I don't wanna type

Answer:

Substitution.

Step-by-step explanation:

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

Answer:

subsitution

Step-by-step explanation:

Answer:

1) 2/7; 43; 3/7

2) C

3) 30; 30; 10; is not; 10; is not

Step-by-step explanation:

1) y + 4/7 = 6/7

y = 6/7 - 4/7

y = 2/7

17 + b = 60

b = 60 - 17

b = 43

6/7 = m + 3/7

m = 6/7 - 3/7

m = 3/7

2) 11.5 - x = 5.25

x = 11.5 - 5.25

x = 6.25

3) he can substitute 30 for t.

He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).

Since 15 is not equal to 10, Harry's solution is not correct

Answer:

1

Step-by-step explanation:

Rearrange  y-x=8 to y=x+8

parallel lines have the same slope

so lines slope is 1

Answer:

3 seconds

Step-by-step explanation:

Downwards positive

a = 32

s = 1000 - 760 = 240

s = ut + ½at²

240 = 32t + 16t²

t² + 2t - 15 = 0

t² + 5t - 3t - 15 = 0

t(t + 5) - 3(t + 5) = 0

(t - 3)(t + 5) = 0

t = 3, -5

By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.

The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],

where:

d is the distance fallen

v is the initial velocity

a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])

t is the time

In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).

Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.  

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Answer:

Step-by-step explanation:15 books in 3 boxes =

books per box

Final answer:

The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.

Explanation:

To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:

So, the unit rate is 6 books per box.

Answer:

Option (B) 336 cm³

Step-by-step explanation:

Height of the Regular Pyramid = 14 cm

Base area of the Regular Pyramid = 1/2 * Side²

Area of the Regular Pyramid = 1/3 * Base area * Height

                                                 = 1/3 * 14 * (1/2 * Side²)

                                                 = 1/3 * 14 * (1/2 * 12²)

                                                 = 1/3 * 14 * (1/2 * 144)

                                                 = 1/3 * 14 * 72

                                                 = 24 * 14

                                                 = 336 cm³

So, Option (B) 336 cm³ is the correct Option.

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Mark BRAINLIEST

Answer:

1 3/8

Step-by-step explanation:

5 2/8 - 3 7/8

= 42/8 - 31/8

= 11/8

= 1 3/8

Make it as the brainliest

Answer:

  1 3/8

Step-by-step explanation:

(5 +2/8) -(3 +7/8) = (5 -3) +(2/8 -7/8)

  = 2 - 5/8 = 1 3/8

__

It is often convenient to do the arithmetic separately for the integers and the fractions, then combine the results.

Of course, you know that 1 = 8/8 so subtracting 5/8 gives you 3/8.

Answer:

it's B

Step-by-step explanation:

Trust me

Answer:

8+10v

Step-by-step explanation:

Answer:

8+10v

Step-by-step explanation:

2.2-0.6=1.6

1.6*81=129.6

129.6/2=64.8

Answer: 64.8

The Leah score than Adam is, 64.8.

A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.

Adam had a z-score of -0.6 while Leah had a z-score of 2.2.

According, to the question:

[tex]2.2-0.6=1.6\\[/tex]

[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]

[tex]\frac{129.6}{2} \\64.8[/tex]

Hence, The Leah score than Adam score are 64.8.

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Answer:

about 301.59

Step-by-step explanation:

You use the volume formula and just plug in the numbers! Hope that was helpful :)

Answer:

y=15

Step-by-step explanation:

We know that the angles in a triangle add to 180 degrees

∠ABC+∠BAC+∠ACB=180

We don't know what ∠ACB is, but we know it is on a straight line with another angle (∠ACD). They are supplementary, and must add to 180

∠ACB+ ∠ACD=180

∠ACB+146=180

Subtract 146 from both sides

∠ACB=34

Now, we know ∠ABC is 4y+8, ∠BAC is 5y+3 and∠ACB is 34, so we can substitute them in

∠ABC+∠BAC+∠ACB=180

4y+8+5y+3+34=180

Combine like terms

4y+5y+8+3+34=180

9y+45=180

Subtract 45 from both sides

9y=135

Divide both sides by 9

y=15

Answer:

700

Step-by-step explanation:

420×5=2100

2100÷3=700

Answer: 700

Answer:

$107.38

Step-by-step explanation:

$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})

$91 (th original price) + 15.38 (the tip) = $108.38 (final price)

Answer:

60

Step-by-step explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y          -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40    +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

Look at the attached picture⤴

Hope it will help u..

Answer:

Z = -136

Step-by-step explanation:

z/8 + 2 = -15

       -2       -2

Z/8 = -17

Z/8 X 8     -17 X 8

Z = -136

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

Answer:

5- 48

6- 1.5

7-324

Step-by-step explanation: You have to plug in the numbers for the variables

a times c = 12 times 4 =48

1/2 times B= 1/2 times 3= 3/2 = 1/5

A times b times d = 12 times 3 times 9 = 324

Final answer:

Eve should knit between 3 and 6 scarves each day for the remaining 2 days to meet her goal of knitting at least 15 and at most 21 scarves for the week. The inequality that represents this situation is 3 \<= x \<= 6.

Explanation:

Eve has knitted 9 scarves and wants to knit at least 15 and at most 21 scarves for the week. With 2 days of the workweek left, we need to find out how many scarves she should knit each day to meet her goal. Let's denote x as the number of scarves Eve knits each day for the next two days.

Since Eve has already knitted 9 scarves and wants to knit at least 15, the minimum number of additional scarves she needs to knit is 15 - 9 = 6. So, in 2 days, she must knit at least 6 scarves. This gives us the inequality 2x ≥ 6.

Similarly, the maximum number of scarves Eve aims to knit is 21. Therefore, the maximum number of additional scarves she can knit is 21 - 9 = 12. This leads us to the inequality 2x ≤ 12.

Combining both inequalities, we get 3 ≤ x ≤ 6, which tells us that Eve needs to knit between 3 and 6 scarves each day to meet her goal.

Given Information:  

Sample size = n = 40  

sample proportion = p = 35% = 0.35  

Required Information:

standard deviation of sample proportion = σ

Answer:  

standard deviation of sample proportion = σ = 0.075

Step-by-step explanation:  

Check if the condition np ≥  10 or n(1 - p) ≥ 10 is satisfied

np ≥ 10

40*0.35 ≥ 10

14 ≥ 10 satisfied

n(1 - p) ≥ 10

40(1 - 0.35) ≥ 10

26 ≥ 10 satisfied

Which means that distribution of sample proportion will have a mean closer to the population proportion.

The standard deviation for sample proportion is given by

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]

[tex]\sigma = 0.075[/tex]

Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.

Answer:

The Correct Answer is B

Step-by-step explanation:

Answer:

The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.

Step-by-step explanation:

Answer:

h = -6

Step-by-step explanation:

To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.

(6 + h)(6 + 5) = 0

I like to use the acronym FOIL for problems like these: first, outside, inside, last.

To start, multiply the first terms, 6 and 6. The answer is 36.

Next, multiply the outside terms, 6 and 5. The answer is 30.

Then, multiply the inside terms, h and 6. The answer is 6h.

Finally, multiply the last terms, h and 5. The answer is 5h.

Add all the products together.

36 + 30 + 6h + 5h = 11h + 66

The equation becomes 11h + 66 = 0.

Now, subtract 66 from both sides to isolate h.

11h = -66

Then, divide both sides by 11 to further isolate h.

h = -6

You have your final answer, h = -6.

Answer:

9^2 +12^2 = m^2

81+144=m^2

225=m^2

m=15

The Pythagorean Theorem is a^2 + b^2 = c^2

In this case, your a is 9, your b is 12, and your c is m

Following the boxes:

9^2 + 12^2 = m^2

81 + 144 = m^2

225 = m^2

m = 15

The independent variable is; A: The number of secounds.

The dependent variable is; B) The number of feet the sub descends.

A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.

We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.

Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.

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Answer:

Step-by-step explanation:

Answer:

  500 +2m

Step-by-step explanation:

  500 "increased by" "twice Matt's savings"

translates to ...

  500            +                     2m

__

Your algebraic expression is ...

  500 +2m

Answer:

500 + 2m

Step-by-step explanation:

m represents Matt's savings. So 2m is twice that.

500 increased  by that means add them, so you get 500 + 2m