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
Svetllana [295]
3 years ago
12

Two factory plants are making TV panels. Yesterday, Plant A produced 3 times as many panels as Plant B. Three percent of the pan

els from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant A produce, if the two plants together produced 1300 defective panels?
Mathematics
1 answer:
mart [117]3 years ago
8 0
Let us assume the number of panels produced by Plant A = z
Let us assume the number of panels produced by Plant B = y
Then
x = 3y
0.03x + 0.04y = 1300
Multiplying both sides of the second equation by 100, we get
3x + 4y = 130000
Putting the value of x from the first equation in the second equation, we get
3x + 4y = 130000
3(3y) + 4y = 130000
13y = 130000
y = 10000
Then
x = 3 * 10000
   = 30000
From the above deduction, we can conclude that the number of panels made by Plant A is 30000.
You might be interested in
Write three equations whose solution is x=3.5
My name is Ann [436]

Answer:

  • 1. 2x + 23 = 30
  • 2. 3x + 19.5 = 30
  • 3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

  • x = 3.5

Multiply the equation by 2:

  • 2x = 2 (3.5)
  • 2x = 7

Subtract 30 from both sides

  • 2x - 30 = 7 - 30
  • 2x - 30 = -23

Add 23 and 30 to both sides:

  • 2x + 23 = 30

2. 3x + 19.5 = 30

Start:

  • x = 3.5

Add 6.5 to both sides:

  • x + 6.5 = 10

Multiply by 3:

  • 3(x + 6.5) = 30

Distributive property:

  • 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

  • x=3.5

Multiply by 10:

  • 10x = 35

Subtract 20:

  • 10x - 20 = 15

Divide by 5:

  • (10x - 20)/ 5 = 15/5

  • (10x - 20) / 5 = 3
3 0
3 years ago
Each floor of a hotel has r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation.
antoniya [11.8K]

Answer:

32 rooms

Step-by-step explanation:

You have to divide

8 0
3 years ago
Read 2 more answers
The perimeter of this rectangle is 156 cm.
erastova [34]

Answer:

x = 15

Therefore, the length and width are 31 and 47.

Step-by-step explanation:

Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156

Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

10x = 150

x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

3(15) + 2 = 47

5 0
3 years ago
Please help with this fast
Elena-2011 [213]

Answer:

Part 1) The value of x is 50°

Part 2) The measure of angle LOK is 114°

Option C

Step-by-step explanation:

we know that

if two angles are supplementary, then their sum is equal to 180 degrees

so

(x+64)°+66°=180°

solve for x

x+130°=180°

x=180°-130°=50°

Find the measure of angle LOK

∠LOK=(x+64)°

∠LOK=(50+64)°=114°

4 0
2 years ago
What does the unit rate represent​
Furkat [3]

Answer:  rate is a ratio that is used to compare different kinds of quantities. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

7 0
2 years ago
Other questions:
  • The price of blackberries at a farm is $1.56 per pound. Which equation can be used to determine c, the total price of n pounds o
    8·2 answers
  • Which of the following does not preserve orientation.
    5·1 answer
  • A baseball player hits a foul ball straight up in the air from a height of 4 feet off the ground with an initial velocity of 85
    12·1 answer
  • Help pls I will give brainliest
    9·2 answers
  • The mass of hintos math book is 4458 grams. What is the mass of 4 math books in kilograms
    13·2 answers
  • Write the equation of the line that is perpendicular to the line 5y=x−5 through the point (-1,0).
    13·1 answer
  • LOL PLS HELP ME WITH THIS AND EXPLAIN IT , BRIANLY POINTS TO WHOEVER DOES!
    13·1 answer
  • In the diagram shown, which angle pairs form complementary angles?​
    14·1 answer
  • What is 0.66% of 9,500 is
    9·2 answers
  • #76 will give brainliest! please help​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!