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
damaskus [11]
2 years ago
9

dr.loube, a chemist, mixes two solutions. one is 24% acid ( the rest is water) and the other is 41% acid. about how much of each

solution does she need to produce 50 gallons of a solution that is 31% acid?
Mathematics
1 answer:
Kisachek [45]2 years ago
3 0

Using a system of equations, the amount of solution a and b required to make the required gallons of the solution are 29.41 and 20.59 respectively.

Let :

  • Solution with 24% acid = a
  • Solution with 41% acid = b

a + b = 50 - - - - (1)

0.24a + 0.41b = 50 × 0.31

0.24a + 0.41b = 15.5 - - - - (2)

From (1) :

a = 50 - b - - - - (3)

<em>Substituting</em><em> </em><em>(</em><em>3</em><em>)</em><em> </em><em>into</em><em> </em><em>(</em><em>2</em><em>)</em>

0.24(50 - b) + 0.41b = 15.5

12 - 0.24b + 0.41b = 15.5

0.17b = 15.5 - 12

0.17b = 3.5

b = 20.588

From (3) :

a = 50 - 20.588

a = 29.412

Therefore, about 29.41 gallons of solution a and 20.59 gallons of solution b is required.

Learn more : brainly.com/question/25449918

You might be interested in
Big drop is twice as long as little drop how long is little drop?
Dmitrij [34]
Twice as long as little drop...
6 0
3 years ago
Patty is making a poster for science class. She spends. 50 minutes on each. Of 2 days. She completes 1/3 of the poster the first
Viktor [21]

Answer:

She has completed 2/3 of the poster

Explanation:

1/3 of the poster the first day

+

1/3 of the poster the next day

1/3 + 1/3 = 2/3

7 0
2 years ago
What is the slope of a line that is perpendicular to the
alexgriva [62]

Answer:

The slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Step-by-step explanation:

From the line equation, let us take two points

  • (0, 2)
  • (4, 1)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)

m=\frac{1-2}{4-0}

m=-\frac{1}{4}

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

-\frac{1}{-\frac{1}{4}}=4

Thus, the slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

5 0
3 years ago
The population of Virginia is 30% less than the population of Georgia. If
Advocard [28]

7,150,000

The population of Georgia is 10,500,000.

The population of Virginia is 30% less than that.

So the population of Virginia is 10,500,000 - 30% which equals 7,150,000

3 0
3 years ago
Which graph represents a function?
Sliva [168]

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What graph represents the equation y=1.4x+2
    13·1 answer
  • the ratio of pink marbles to white marbles in samara's bag is equal to 1:5. What percent of the bag contains pink marbles?
    13·1 answer
  • they ordered 3sodas for 11.25. Jason ordered one cheeseburger and one soda for $5 how much dose one cheeseburger cost ​
    14·1 answer
  • Solve for x<br> (5x+4)(7x+4)(4x+1)(9x-6)(4x+9)<br> a 90<br> b 2<br> c 12<br> d 45
    11·1 answer
  • If the cost of a notebook is 2x-3 and the cost of a pen is x-4, what is the cost of 3 notebooks and 5 pens?
    12·1 answer
  • X+7=15 <br>help me fasttttttt​
    14·2 answers
  • Jack has $65 to spend on art supplies. He needs to buy an easel that costs $18. He also wants to buy some canvases that cost $11
    7·2 answers
  • Use the product-to-sum identities to rewrite the following expression as a sum or difference.
    13·1 answer
  • Divide<br> (-x* + 2x’ +3x– 5x – 2)/(x² – 2x+1)
    11·1 answer
  • Based on the work shown on the right, check all
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!