a chemist has two alloys, one of which is 10% gold and 15% lead and the other of which is 30% gold and 40% lead. how many grams of each of the two alloys should be used to make an alloy that contains 60 grams of gold and 88 grams of lead

Answers

Answer 1

Answer: Let the weight of the first alloy will be x grams.
Weight of gold will be 0.1x grams, weight of lead will be 0.15x grams.
Let the weight of the second alloy will be y grams.
Weight of gold will be 0.3y grams, weight of lead will be 0.4y grams.
Summarizing:
0.1x+0.3y=60 - gold
0.15x+0.4y=88 - lead

0.1x+0.3y=60 * 10
0.15x+0.4y=88 * 100

x+3y=600 * 15
15x+40y=8800

15x+45y=9000
15x+40y=8800

15x+45y=9000 /15
45y-40y=9000-8800

x+3y=600
5y=200

x+3y=600
y=40

y=40
x=600-3*40=480

y=40
x=480

↑The answers.

Related Questions

Brainliest for the correct answer and 20 points!!!
Which of the following statement best describes the effect of replacing the graph of f(x) with the graph of f(x) - 3?A) the graph shifts 3 units up. B) The graph shifts 3 units down. i think is correct? C) the graph shifts 3 units left. D)the graph shifts 3 units right.
Which of the following points are on the line given by the equation y=2x?A.(16,8)B.(1,3)C.(4,6)D.(3,6)E.(4,2)F.(5,10
Taylor cuts 1/5 sheet of construction paper. What fraction is equivalent to 1/5 ?1/6 3/15 15/45 15/3
A circular hall has a hemispherical roof . The greatest height is equal tothe inner diameter.find area of the floor , given capacity of hall is 48510 metre cube.

2
Multiple choice. How many solutions does the equation 6 + 1 = -6x+ 10 have?

Answers

Answer:

x = 0.5, one solution

Step-by-step explanation:

6+1 = -6x + 10

7 = -6x + 10

-3 = -6x

6x = 3

x = 3/6

x = 1/2

x = 0.5

Use the temperature box-and-whisker plot to solve. What is the range of each of the four quarters of data?

A.

first quarter: 2
second quarter:10
third quarter: 15
fourth quarter: 18

B.

first quarter: 2
second quarter: 8
third quarter: 5
fourth quarter: 3

C.

first quarter: 3
second quarter: 8
third quarter: 5
fourth quarter: 2

D.

first quarter: 3
second quarter: 8
third quarter: 16
fourth quarter: 18

Answers

the answer is B

because it is 2 degrees increase from 12 to 14, then from 14 to 22 is 8 degrees, then 5 more until 27, and so on.

Angela spent 6 hours working and made $87. What is her hourly rate?A. $17 1/4 per hour
B. $18 1/2 per hour
C. $14 1/2 per hour
D. $15 per hour

Answers

To find how much Angela made per hour, then we need to divide the total amount made by the hours spent working.

$87 / 6hrs = $14.50/hr

The answer is C.

How many times does 4 go into 85?

Answers

85 divided by 4 equals to 21 and one-fourth.
hope it helped!
hit the brainiest button pleaseee!

A welder needs apiece of half-inch pipe18 3/4 in. Long. she has a piece the is 28 1/8 in. Long. how much must she cut off from the longer piece?

Answers

I got 9 and 3/8 because you would subtract 18 3/4 from 28 1/8

Final answer:

The welder needs to cut off 9 3/8 inches from the longer piece.

Explanation:

To determine how much the welder needs to cut off from the longer piece of pipe, we need to find the difference between the lengths of the two pieces.

Given that the longer piece is 28 1/8 inches and the desired length is 18 3/4 inches, we can subtract the desired length from the longer piece's length:

28 1/8 - 18 3/4 = 9 3/8

Therefore, the welder needs to cut off 9 3/8 inches from the longer piece of pipe.

Learn more about pipe cutting here:

brainly.com/question/32330874

#SPJ2

after 1 second, the rock is 243 feet in the air; after 2 seconds, it is 452 feet inthe air. find the height, in feet, of the rock after 5 seconds in the air?

Answers

1 second is 243
2 second is 452
3 second is 661
4 second is 870
5 second is 1,079
It goes up 209 feet per second
5 Second is 1,079 ft in the air.

Other Questions

WILL GIVE BRAINLIESTA person who can repair just about any type of mechanical problem that occurs in a vehicle is a A. general repair technician. B. service manager. C. electrical system specialist. D. passenger comfort specialist.

During a sale a video game is sold for 15 dollars less than three fifths of the original price of the cell phone. Which expression represents the sale price of the cell phone if n is the original price of the cell phone

Solve the following equation for x: 1,000(x – 2) = 75,000 A. 7 B. 770 C. 7,700 D. 77

49.5 is what percent of 33?