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andrew11 [14]
3 years ago
12

If a mixture of 24 lb. of cement, 48 lb. of sand, and 63 lb. of gravel is needed to make 1 cubic foot of concrete, how many poun

ds of sand are needed to pour a pool deck of 156 cubic feet?
Mathematics
1 answer:
Radda [10]3 years ago
4 0
This is a ratio problem. You only need solve the ratio of the sand. 

 <u> 48 </u> <u />  =  <u>  n  </u>   <u />  
    1        156

(48)(156) = 1(n)   (cross multiplying)<span> 
</span>
7,488 pounds

To check: The pool deck is 156 times larger than the original amount of concrete so the amount of sand needs to be 156 times more. 



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Suppose the scores on a trivia quiz are normally distributed with a mean of 80 and a standard deviation of 5.
Kitty [74]

I think it would be scores below 75

8 0
3 years ago
What is the following product? square root 30 times square root 10
egoroff_w [7]

Answer:

D. 10 square root 3 is your answer

Step-by-step explanation:

Here is what you do.

<em>square root 30 = 3 x 2 x 5 </em>

<em>square root 10 = 2 x 5</em>

Add them together.

<em>3 x 2 x 2 x 5 x 5 </em>

<em>3 x 4 x 25.</em>

4 and 25 can come out of the square root.

<em>2 x 5 = 10</em>

10 square root 3 is your answer.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -
Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

 x +   y =  9

2x - 3y = 8.

Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y =    8

-------------------

5x = 35, so that x = 7.  Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


6 0
3 years ago
What is the least prime number greater than 50?
uysha [10]
A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask
3 0
3 years ago
Read 2 more answers
The ratio of two complementary angles is 17:13. What is the measure of the smaller angle?
Mariana [72]
We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:

17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.

17x+13x=90
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x=3

We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.

3*13=39

The answer is 39 degrees.
8 0
3 years ago
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