A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 1/72 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

Answers

Answer 1
Answer:

Answer:

108 pounds of mulch.

64 pounds of gravel.

Step-by-step explanation:

Let x be the amount of mulch sold and y be the amount of gravel sold.

We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.  

2(1)/(4)=(9)/(4)

1(1)/(3)=(4)/(3)

We can represent this information as:

(x)/(y)=((9)/(4))/((4)/(3))...(1)

We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:

x+y=172...(2)

From equation (1) we will get,

(x)/(y)=(9)/(4)*(3)/(4)

(x)/(y)=(27)/(16)

x=y*(27)/(16)

Substituting this value in equation (2) we will get,

y*(27)/(16)+y=172

Now let us have a common denominator.

(27y)/(16)+(16y)/(16)=172

(27y+16y)/(16)=172

16*(43y)/(16)=16*172

43y=2752

y=(2752)/(43)

y=64  

Therefore, the supplier sold 64 pounds of gravel.

Upon substituting y=64 in equation (2) we will get,

x+64=172

x=172-64

x=108

Therefore, the supplier sold 108 pounds of mulch.    




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Answers

1. A. a translation 3 units to the right
2. 4 units up
From what I can tell, the answer to the first problem is A, and the answer to the second problem is 4 units up.
The reason the first answer is A, is because if you count from point C to point K there is a total of three squares. Also, rotating and reflecting this image would give you different results.
The second answer is 4, because counting from A to A' there are a total of 4 squares (units), hence the answer of four.

3/10 and 2/5 common denominator

Answers

3/10 can stay the same,

2/5 >>

2*2 = 4
5*2 = 10

4/10 and 3/10 
okay so if 3/10 and 2/5 are uncommon than you have to find a number that there both divisible by in this case its 2 so 2 x 2  4
                                                                  ----     ------
                                                                    5  x 2 10

(3x+4)^3=2197 solve this equation

Answers

(3x + 4)³ = 2197

Taking the cube root in this case is easier, although we can do it the extended way which is complicated.

\sqrt[3]{(3x+4)^3}\sqrt[3]{2197}
3x + 4 = 13

Now solve normally.

subtract 4
3x + 4 = 13
       -4    -4

3x = 9
Divide by 3 to isolate 3

(3x)/(3) = (9)/(3)
3 and 3 cancels out

x = 3
(3x+4)³=2197

3x+4=z

z³=2197
z=∛2197
z=13

Then:
3x+4=13
3x=13-4
3x=9
x=9/3
x=3

answer: x=3

Richard practice each of three piano solos for 5/12 hour expressed in simplest form how long did he practice in all

Answers

5/12 hour = 1 piano solo's
15/12 hour = 3 piano solo's

Simplifying 15/12 hours we get:
1.25 hours also known as 1 hour 15 minutes

What is 15 thousands of an inch

Answers

Answer:

0.015

(divide the length value by 1000)

Sorry if I didn't get it right I tried.

When 1,187 is divided by 74, what is the remainder

Answers

1,187 divided by 74 

16 with a remainder of 3

Decimal Form: 16.0405

Final answer:

When 1187 is divided by 74, the quotient is 16 and the remainder is 3. Therefore, the remainder in question is 3.

Explanation:

The subject of your question is in the field of Mathematics, specifically arithmetic operations, and it pertains to division. When we divide 1187 by 74, we're interested in knowing not just the quotient (how many times 74 fits into 1187) but the remainder, which is what's left over when the division process is complete.

To find the answer, you could use a long division, or use a calculator. When you do the division, you get a quotient of 16 and a remainder of 3. This means that 74 goes into 1187 sixteen times with 3 left over. Therefore, the answer to your question is: the remainder when 1187 is divided by 74 is 3.

Learn more about Remainder here:

brainly.com/question/34346081

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