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
nika2105 [10]
3 years ago
6

Question: A box of chocolates contains square chocolates, which weigh 10 g each, and round chocolates, which weigh 8 g each. The

combined weight of all the chocolates is 210 g. The number of round chocolates is 3 less than twice the number of square chocolates. Write a pair of linear equations to represent the information given above. Be sure to state what the variables represent. Solve the pair of equations to find the number of square chocolates. Show your work.
Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer: the box contained 9 square chocolates and 15 round chocolates.

Step-by-step explanation:

Let x represent the number of square chocolates contained in the box.

Let y represent the number of round chocolates contained in the box.

The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that

10x + 8y = 210- - - - - - - - - - -1

The number of round chocolates is 3 less than twice the number of square chocolates. It means that

y = 2x - 3

Substituting y = 2x - 3 into equation 1, it becomes

10x + 8(2x - 3) = 210

10x + 16x - 24 = 210

26x = 210 + 24

26x = 234

x = 234/26

x = 9

y = 2x - 3 = 2 × 9 - 3

y = 18 - 3

y = 15

You might be interested in
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for n 76, Round
asambeis [7]
A is the answer i think
3 0
2 years ago
Amira has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last.
sergiy2304 [10]

Answer:15

Step-by-step explanation:

You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2

4 0
3 years ago
The area of the square is 100 square centimeters. What is its perimeter
alisha [4.7K]

Answer:

200

Step-by-step explanation:

200

7 0
2 years ago
Read 2 more answers
Please help
meriva

Answer:

Step-by-step explanation:

we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

q² = p² + r² - 2(p × r)CosQ

q² = 12² + 6² - 2(12 × 6)Cos92

q² = 144 + 36 - 2(72)Cos92

q² = 180 - 144 × - 0.0349

q² = 180 + 5.0256

q² = 185.0256

q = √185.0256

q = 13.6 to the nearest integer

8 0
3 years ago
Read 2 more answers
A line that includes the point (10, 0) has a slope of
Sergeu [11.5K]

9514 1404 393

Answer:

  y = 1/5x -2

Step-by-step explanation:

When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)

  y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form

_____

Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.

4 0
3 years ago
Other questions:
  • Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be mo
    5·2 answers
  • Answer Choices: a) slope=-3 b)slope=-1/3 c)1/3
    8·1 answer
  • Find the slope<br><br> A)y=-x+7<br><br> B)2+y=8+4x
    6·1 answer
  • Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, e
    11·1 answer
  • My Question is find the x-intercept of following equation.simplify your answer 15x+-4y=20
    12·2 answers
  • PLEEASSE HELP:))) (theres a pic)
    12·2 answers
  • 198.8 grams ≈ ounces
    14·1 answer
  • Prime factorization of 43
    14·1 answer
  • Solve the following for y:<br> p(t + 4) = 2y
    7·1 answer
  • In the previous problem, you calculated the amount of butter you will need to increase the size of the brownie recipe. Examine t
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!