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solong [7]
3 years ago
14

City Park: You are desinigng a marble planter for a city park. You want the length of the planter to be sic times the height, an

d the width to be three times the height.The sides should be one foot thick. BEcause the planter will be on the sidewalk, it doesnot need a bottom. What should the outer dimensions of the planter be if it is to hold 4 cubic feet of dirt.
Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0

Answer: 6 feet x 3 feet

Step-by-step explanation:

Let the height be given by= x

The length is= 6x -2 (1) from both sides= 6x-2

The width is= 3x-2(1) from both sides= 3x-2

The total volume= length * width * height

4=(6x-2)*(3x-2)*x

Solving we get,

x=1 and other factor is not the valid option.

So the outer dimensions should be 6 feet x 3 feet

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Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Jo
BARSIC [14]

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

8 0
3 years ago
Find the unknown side length
Westkost [7]
For any right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that for any right triangle, the legs when squared and added together will be equal to the hypotenuse squared.

In mathematical notation: a^2 + b^2 = c^2

Where the variables a and b are the legs and the variable c is the hypotenuse.

Because we know the two side lengths of the triangle, we can solve for the unknown side.

We know the length of one of the legs and the hypotenuse.

Plug in the values.

10^2 + b^2 = 24^2 \\ \\ 
100 + b^2 = 576 \\ \\ 
b^2 = 476 \\ \\ 


b = \sqrt{476}

So, the square root of 476 is the unknown length.
3 0
3 years ago
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared
tresset_1 [31]

Answer:

7y^2 - y^2z - 10yz-5

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

A. y squared minus y squared z minus 10 y z minus 5

B. y squared minus y squared z minus 5 y z minus 5

C. 7 y squared minus y squared z minus 10 y z minus 5

D. 7 y squared minus y squared z minus 2 y z minus 5

Given:

3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z

Collect like terms in the expression

3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2

Simplify

7y^2 - 10yz - y^2z - 5

Rewritten as

7y^2 - y^2z - 10yz-5

Option C. 7 y squared minus y squared z minus 10 y z minus 5

Is the answer

4 0
3 years ago
The marked price of an article is 25% above the selling price and cost price is 40% below the list price,
polet [3.4K]

Answer:

b20%

Step-by-step explanation:

tengo que seguir escribiendo

5 0
2 years ago
Joe has $173 he earns the same amount of money each week for seven weeks and put this money in the bank now Joe has $208 in the
joja [24]

Answer:

Joe makes 5 dollars a week

Step-by-step explanation:

Joe started with 173 so you will subtract that from the total

208-173=35

You will then divide that number by the number of weeks he has worked

35÷7=5

Therefore joe makes 5 dollars a week

4 0
2 years ago
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