ratios equivalent to 10:9.

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V1) and it is calculated using;

[tex]V_1 = l * w * h[/tex]

[tex]V_1 = lw h[/tex]

Since the pyramid has the same base area and height as the prism, the its dimension would be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V2) and it is calculated using;

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

So, we have:

[tex]V_1 = lw h[/tex]

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

Substitute lwh for V1 in the second equation

[tex]V_2 = \frac{1}{3}V_1[/tex]

Multiply both sides by 3

[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]

[tex]3 * V_2 = V_1[/tex]

Reorder

[tex]V_1 = 3 * V_2[/tex]

[tex]V_1 = 3 V_2[/tex]

Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid

Answer:

420 people

Step-by-step explanation:

400*1.05=420

Answer:

2^4

Step-by-step explanation:

16 = 2x2x2x2 = 2 to the power of 4

Answer:

2^4

Step-by-step explanation:

Hope this helped have an amazing day!

x − 3 = 6 − 2 x = − 8 √ x = 3

Answer:

[tex]4x+8y= 1848\\\\x+y= 283[/tex]

Step-by-step explanation:

Step one:

The admission price for children is $4

The admission price for adults is $8

Let be the number of children and

let y be the number of adults.

The total amount the theater collects in admissions for the day is $1848.

4x+8y= 1848-----------1

The total number of visitors is 283.

x+y= 283----------------2

Step two:

the system of equation for the situation is

4x+8y= 1848

x+y= 283

Answer:

y=1/3x+7/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

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

m=(3-1)/(2-(-4))

m=2/(2+4)

m=2/6

simplify

m=1/3

y=1/3x+b

y-y1=m(x-x1)

y-1=1/3(x-(-4))

y-1=1/3(x+4)

y-1=1/3x+4/3

y=1/3x+4/3+1

y=1/3x+4/3+3/3

y=1/3x+7/3

900 hope this helped

Answer:

a. 25/33

b. 36

c. 1/15

d. 35/12

e. 19/12

9514 1404 393

Answer:

  C  none of the above

Step-by-step explanation:

We can simply drop the parentheses and collect terms.

  2r +(t +r) = 2r + t + r = (2r +r) +t

  = 3r +t

Answer:

I believe the answer is c hope this helps

Answer:

D

Step-by-step explanation:

Answer:

i think its D! pls let me know if im wrong.

Step-by-step explanation:

Answer:

ca=14

Step-by-step explanation:

Answer:

Work = Force × distance = 500 × 15 = 7,500 J.

Hope this helps! Merry Christmas and Happy New Year!

Total work done by pushing the car for a distance of 15 m using a force of 500 N is 7500 Joule.

The total work done can be derived in terms of the products of force applied and the total distance covered.

Therefore,

Total work done = force × distance = 500 × 15 N-m = 7500 Joule

Hence, 7500 Joule work is done.

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Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

Answer:

Je ne parle pas francais

Step-by-step explanation:

Pardon

Answer:

3x/4 - 17

Step-by-step explanation:

Answer:

135

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

3³ · (12 - 2) ÷ 2

Step 2: Evaluate

Answer:

120

Step-by-step explanation:

All the angles should add up to equal 180 so,

28 + 32 + ? = 180

60 + ? = 180

180 - 60 = 120

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

52/-4 = -13

khdsylye

Answer:

I got 52!

Step-by-step explanation:

I searched it up to confirm it! C:

Answer:

$4/ticket; .25ticket per dollar

Step-by-step explanation:

Tyler paid $16 for 4 raffle tickets.

Part 1: What is the price per ticket?

Part 2: How many tickets per dollar?

For part 1, you will divide $16 by 4 tickets.

16/4=4

You can get 4 tickets for $16 so that's $4/ticket.

For part 2, you already know that it is $4 for one ticket. The question wants to know how many tickets you will get for $1. To find this answer you will divide 1 by 4.

4/1 = .25

So you can get .25 of a ticket per dollar.

Answer:

yes they are the same

Step-by-step explanation:

2x + 28 =40

you subtract 28 from both sides

2x + 28 - 28 = 40 - 28

2x=12

divide 12 by 2 and get 6

2(6)=12

2(x + 14)= 40

So, 2(x) + 2(14)

2x + 28 = 40

So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!

The solution for 2x + 28 = 40 is 6.

The solution for 2(x + 14) = 40 is 6.

Yes, they have the same solution.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2x + 28 = 40

Solve for x.

2x = 40 - 28

2x = 12

x = 6

2(x + 14) = 40

Solve for x.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6

Thus,

The solution for both equations is the same.

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Answer:

$20,240

Step-by-step explanation:

Multiply 22,000 by 0.92% since if you subtract 0.08 which is equivalent to 8% from 1, you would need that percentage to get to your final answer which is $20,240.

Another option is to do the same thing except multiply 22,000 by 0.08% in which $1,760 is being cut off as it decreases.  Subtract that number from $22,000 to get the same answer mentioned earlier.

Answer:

$20,240

Step-by-step explanation:

This is a simple interest formula.

$22,000*(8%/100%) = $1760

$22,000-$1760 = $20,240

Answer:

— g(5)=18

Step-by-step explanation:

x=5 into g(x). g(5)=(4×5)−2=20−2=18.

Answer:

250 dollars

Step-by-step explanation:

5x50

Answer:

$50 to produce each and $150 would be her income

Step-by-step explanation:

Answer:

There is no variable factor common to 24a and 6

Step-by-step explanation:

First number = 24a

Other number = 6

Pime factorisation of 24a = 2×2×3×2×a

Pime factorisation of 6= 3×2

Common factors = 6

Hence, there is no variable factor common to 24a and 6, Other common factor is 6.

Answer:

4 - 2m + 3

Step-by-step explanation:

when you distribute the negative sign you will get this

Answer:

B on Edge

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

75 divided by 8 equals 9 remainder 3

Have a good day! :)

Answer:

f=2

Step-by-step explanation:

hope this helps you

Answer:

ounces

Step-by-step explanation:

moat likely ounces because of the size of the ring

The correct answer from the choices listed above is the first option, ounces.

Weight is the measure of the force of gravity acting on a body.

The weight of a gold ring most likely is expressed in ounces. The weight of gold is measured in troy ounces (1 troy ounce = 31.1034768 grams), but its purity, or "fineness" has been measured in a few different ways: "parts fine," "% gold", and carats.

Hence, the answer is ounces.

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