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
STatiana [176]
2 years ago
14

A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu

arts of each solution should the teacher mix to get the desired result?
Mathematics
1 answer:
Svetlanka [38]2 years ago
3 0

Answer:

  • 6 2/3 qt 80%
  • 13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

You might be interested in
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket
Hoochie [10]

<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>

Answer:

<em>1300 children attended the basketball game</em>

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

5 0
3 years ago
Find the rate of change
Fantom [35]

Answer:

b

Step-by-step explanation:

$25 per day

it's "b" because as days increase the cost of dollars gets added by $25 per day.

Hope this helped!

6 0
3 years ago
A number b divided by -3 is greater than or equal to 6
enot [183]

Answer:

\frac{b}{-3}\geq 6\\\\ b\leq 6.(-3)=-18\\\\ b\leq -18

Step-by-step explanation:

6 0
3 years ago
What is the simplest form of
ASHA 777 [7]

Step-by-step explanation:

step 1. the cube root is also to the 1/3 power

step 2. (27a^3b^7)^(1/3) = (3*3*3*a*a*a*b*b*b*b*b*b*b)^(1/3)

step 3. a third root: 3 factors in the root comes "out" of the root as 1

step 4. 3ab*b(b)^(1/3) = 3ab^2(b)^(1/3).

8 0
3 years ago
Which set of measurements would create a triangle?
scZoUnD [109]
B. 5 cm, 6 cm, 7 cm . because the sum of two sides should be greater then the 3rd side
3 0
3 years ago
Other questions:
  • Evaluate the following expression 2^-2
    9·1 answer
  • If x5 = y3, then x = ?
    14·1 answer
  • Janice bought her mother a bunch of 10 flowers two of the flowers are daisies one half of the remaining flowers are tulips write
    14·1 answer
  • 5 3/4 quarts = how many cups
    8·1 answer
  • Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.
    6·1 answer
  • Write the square root for each number
    7·2 answers
  • Help on a time limit!
    14·1 answer
  • Question 2: SQUARE ROOTS
    5·1 answer
  • Five friends shared 1/5 kilogram of nuts equally. What fraction of a kilogram of nuts did each friend eat?
    8·1 answer
  • Solve the inequalities 2(x-9)&gt;-2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!