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
Tanya [424]
3 years ago
7

A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

to make the 60% solution.
Let x represent the number of liters of the 50% solution.
Let y represent the number of liters of the 90% solution.
Which equation represents the total liters of acid that are needed?
Question 3 options:
x + y = 6
x + y = 10
0.5x + 0.9y = 6
0.5x + 0.9y = 10
Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

<u>The equations system is:</u>

<u>x + y = 10</u>

<u>0.5x + 0.9y = 6</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

<u>The equations system is:</u>

<u>x + y = 10</u>

<u>0.5x + 0.9y = 6</u>

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

You might be interested in
6. Nicole deposits $2,136 in a såvings account paying 5% interest rate. To the
ValentinkaMS [17]

Answer: $3,166

Step-by-step explanation:

8 0
2 years ago
Please help its inequalities 2x &lt; 6
Katyanochek1 [597]

x < 3
hope it helps
4 0
3 years ago
A2-b for a=7 and b=12
vladimir2022 [97]
Substitute the value of the variable into the expression and simplify 37
5 0
2 years ago
Read 2 more answers
Not sure about this
babymother [125]

Answer:

Length of the base=10

Width of the base=50

Step-by-step explanation:

Length of the base=80/8=10

Width of the base= 6.25*8=50

5 0
3 years ago
Read 2 more answers
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5.
aev [14]

Answer:

this is an example

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Which of the following is equivalent to the complex number i^32
    7·1 answer
  • If ΔABC≅ΔMNO, then what corresponding angle is congruent to angle N?
    7·1 answer
  • Which is the most resonable measure for the length of a bicycle
    11·1 answer
  • Write the equation of the line that passes through (-6, 0) and is parallel to the line y = 5x - 43​
    5·1 answer
  • Give the degree of each polynomial
    8·2 answers
  • Please help!!! This is WAY overdue and I need to submit it by tonight or it won't be accepted!!!!
    13·2 answers
  • Can someone help me find slope fast please!! i’m doing a test right now
    7·1 answer
  • There are 198 calories in 4 ounces of vanilla ice cream. How many calories are in 6 ounces of vanilla ice cream?
    8·1 answer
  • Maurice finished 14 paintings in 5 days. He painted the same number of paintings each day. Which of the following equations repr
    14·1 answer
  • -4 = -2 + 2x <br> What is the answer to this
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!