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frozen [14]
3 years ago
14

a construction company needs to remove 24 tons of dirt from a construction site. They can remove 3/8 tons of dirt each hour. How

long will it take to remove the dirt?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0
Since each hour is 3/8 of a tone then, namely how many times does 3/8 go into 24?  well, is just their quotient.

\bf 24\div\cfrac{3}{8}\implies \cfrac{24}{1}\div\cfrac{3}{8}\implies \cfrac{24}{1}\cdot\cfrac{8}{3}\implies \cfrac{8}{1}\cdot \cfrac{8}{1}\implies 64
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A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich
valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use x to represent turkey sandwiches and y to represent steak sandwiches.

x = turkey sandwiches

y = steak sandwiches

x + y = 925 total sandwiches that were sold

4x + 6y = 4524 dollars that were made

x + y = 925\\y = 925 - x

Now that we know what y (steak sandwiches) equals, we plug it in to an equation to find x.

4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026

Next, we divide both sides by 2, so x is bare.

\frac{2x}{2} = \frac{1026}{2}

x = 513

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)

3 0
2 years ago
A handful of chewing gum contains 5 red pieces out of 11. What is the probability that a randomly selected
bezimeni [28]

Find the number of pieces that aren't red, by subtracting the red from the total:

11 - 5 = 6 are not red.

The probability is the number of none red, over the total number of pieces: 6/11

8 0
3 years ago
What is 11/2 divided by 3/4
madam [21]

Answer:

2 and 14/15

Step-by-step explanation:

7 0
2 years ago
Write cos 53 degrees in terms of sine.
SOVA2 [1]
Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)
7 0
3 years ago
Multiply. Write the answer in lowest terms. <br> 5/7 x 11/7 x 5/6
marusya05 [52]
Hi

5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294

5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)

Answer: 275/294
6 0
3 years ago
Read 2 more answers
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