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
KATRIN_1 [288]
3 years ago
8

A gym has 2kg and 5kg weights. There are 10 disks in all. The total weight of 2kg and 5kg disks is equal to 29kg. Find the numbe

r of disks of each kind in the gym.
Mathematics
1 answer:
Simora [160]3 years ago
6 0

Answer:

no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7

Step-by-step explanation:

Let the no of 2kg disks be a.

Let no of 5 kg disks be b.

2a+5b=29

a+b=10

Using substitution, we have

2(10-b) + 5b=29

20-2b+5b=29

20+3b=29

3b=9

b=3

So no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7

You might be interested in
The formula for the perimeter of a rectangle is P = 2L + 2W. The length of a rectangle is 3 times its width. Which expression re
omeli [17]

The perimeter of a rectangle is given by the following formula:     P = 2W + 2L

To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).

     P = 2W + 2L

          subtract 2L from both sides of the equation

     P - 2L = 2W + 2L - 2L

     P - 2L = 2W

           divide both sides of the equation by 2

     (P - 2L)/2 = (2W)/2

     (P - 2L)/2 = (2/2)W

     (P - 2L)/2 = (1)W

     (P - 2L)/2 = W

Thus, given that the perimeter (P) of a rectangle is defined by    P = 2W + 2L ,

   then its width (W) is given by    <span>W = (P - 2L)/2</span>

3 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each
stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0
3 years ago
Find the measure of angle K.
BabaBlast [244]
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.

The sum of three angles should add up to 180°. 

148° + 11° + K = 180°

Where k is the missing angle.

Solve for K.

Combine like terms.

148° + 11° + K = 180°
159° + K = 180°

Subtract both sides by 159°.

159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°

So, the missing length is 21°.
7 0
2 years ago
A gas tank on a car holds 16 gallons of gasoline and can travel 480 miles on a full tank. How many miles can the car travel usin
tamaranim1 [39]

16 gal... 480 mi
1 gal... 480/16 = 30 mi
9 gal.. 30*9 = 270 mi

4 0
1 year ago
Read 2 more answers
What is the circumference of the circle? (use 3.14 for pi)
Deffense [45]
Your answer is 119.32 m
4 0
2 years ago
Other questions:
  • There are 12 participants running in a 110m hurdles race. How many ways are there to award a gold, silver, and bronze medal?
    6·1 answer
  • Solve the system using elimination.
    6·1 answer
  • 6x-3(2-3x)can some one please help
    6·2 answers
  • How can you order rational numbers from least to greatest
    13·2 answers
  • Is 944544 divisible by 10?
    7·2 answers
  • An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin tos
    14·2 answers
  • What is 9+9(2+4)÷3-2 equal
    7·1 answer
  • Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·2 answers
  • Eloise spent $1.65 on potato salad that costs $0.25 per pound.
    14·2 answers
  • What set of numbers are shaded on the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!