1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
3 years ago
6

A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co

ntained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?
Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:

The value of x would be \frac{3}{5}y or \frac{3}{8}z

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain  5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,          

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)

Now, resultant mixture is z ton,

i.e. z=x+y

\implies y = z - x

From equation (1),

x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x

x+\frac{3}{5}x=\frac{3}{5}z

\frac{8}{5}x=\frac{3}{5}z

x=\frac{3}{8}z

You might be interested in
Shannon is putting a fence around the garden ,except where there is a gate that is 3 feet wide .one foot of the fence cost $43.
AfilCa [17]
43 x 3 = 129 divided by 2 = 64.5
7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!
Vaselesa [24]

Answer:

b. these codes are equal volume

8 0
3 years ago
Pleeeeeeeeaaaseeeeee help meeeeeeee!!!!!!!!!
zaharov [31]

Answer:

Option D.

A =96\pi\ cm^2

Step-by-step explanation:

The area of the circular bases is:

A_c = 2\pi(a) ^ 2

Where

a=4\ cm is the radius of the circle

Then

A = 2\pi(4) ^ 2

A = 32\pi\ cm^2

The area of the rectangle is:

A_r=b * 2\pi r

Where

b=8\ cm

b is the width of the rectangle and 2\pi r is the length

Then the area of the rectangle is:

A_r=8 * 2\pi (4)

A_r=64\pi\ cm^2

Finally the total area is:

A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\

A =96\pi\ cm^2

7 0
3 years ago
Read 2 more answers
At a certain store the taco sauce was on sale for 1/5 off.with a coupon for an additional 40 cents off, the final cost of the sa
Reika [66]

What is the question?

7 0
3 years ago
What is 175% of 14.2
LUCKY_DIMON [66]
175% of 14.2 is saying that

1.75(14.2)=24.9

Any questions please just ask. Thank you.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 39/40 simplified
    8·1 answer
  • F(x) =-2x^5+3x^2-5 what is the right end behavior? Increasing or decreasing?
    12·1 answer
  • Thirty million;two hundred twenty thousand, six hundred seventeen
    15·2 answers
  • Do you think increasing consumption of diet soda drinks causes traffic accidents
    14·1 answer
  • A sea bird is 28 meters above the surface of the ocean. Whats its elevation?
    8·1 answer
  • Solve: x − 2 3 = 61 3 A) 42 9 B) 52 3 C) 6 D) 7
    13·1 answer
  • Evaluate 104+(-46)-(-32)
    5·2 answers
  • Suppose segment XY has one endpoint at X(0,0)
    8·1 answer
  • The perimeter of a square is 28ft. can you conclude that area of the square is 49 square feet? Explain.
    9·1 answer
  • Which expression is equivalent to 45.1+3.3?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!