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
Dafna1 [17]
3 years ago
8

A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method I takes 1.5 hours and the ma

terial costs $10. Method II takes 2.5 hours, and the material costs $5. Next week, they plan to spend 308 hours in labor and $1260 in material for refinishing tables. How many tables should they plan to refinish with each method?
Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0
Let X be the number of method I tables, Y method II tables.
1.5x+2.5y=308. Hours spent
10x+5y=1260. Cost
Multiply the equation 1 by 2
3x+5y=616
10x+5y=1260
Subtract the equation 1 from the equation 2 to get
7x=644
X=644÷7
X=92. number of method I tables

So then
10 (92)+5y=1260
920+5y=1260
5y=1260-920
5y=1,260−920
5y=340
Y=340÷5
Y=68 number of method II tables
You might be interested in
5x-4y+-13 and 3x-4y+-11
drek231 [11]
5x + -4y = 13

Solving
-5x + -4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
-11 + 3x + -4y = 0

Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y

Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y
3 0
3 years ago
Read 2 more answers
Find the length of the hypotenuse !!
bearhunter [10]

Answer:

17

Step-by-step explanation:

To find the hypotenuse, you would use the Pythagorean theorem.

A^{2} +B^{2} =C^{2}

We can plug 8 and 15 into A and B\

8^{2} +15^{2} =C^{2}

We can simplify this to

64+225=C^{2}

289 = C^{2}

To get C by itself not squared, we can do the square root of both sides.

\sqrt{289} =\sqrt{C^{2} }

If we simplify, we get

17 = C or C = 17

Therefore the length of the hypotenuse is 17.

6 0
4 years ago
natalie recorded her exercise for a week. she ran 16 miles, swam 3 miles, biked 22 miles, and rollerbladed 7 miles. what part of
ELEN [110]
I would have to say the answer is 25%

3 0
3 years ago
Increase 120cm by 24%. Please help. Homework due tomorrow. Thanks
bixtya [17]
The answer is 148.8
120 · 24 = 120 · 0.24 = 28.8
120 = 28.8 = 148.8
6 0
3 years ago
The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years an
Archy [21]

Answer:

I am going through a lot and am trying to get my head off

4 0
3 years ago
Read 2 more answers
Other questions:
  • -3d/d squared- 2d-8+ 3/d-4=-2/d+2
    11·2 answers
  • What is the answer can u all help me
    7·1 answer
  • What is the image of (-1, 1) after a dilation of 2? (1, 3) (-2, 2) (2, 2)
    12·1 answer
  • Jill can answer 50 math questions every 20 minutes how many questions can she complete per minute?
    9·2 answers
  • Harry's Electronics kept track of how many customers bought a newly released gaming system during the first month it was availab
    7·1 answer
  • The wingspan of a model airplane is 35 inches. The model has a scale factor of 1 inch = 3 feet. What is the wingspan of the actu
    12·1 answer
  • Evaluate the expression for the given value of the variable(s).
    11·1 answer
  • List the sides of each triangle in order form shortest to longest.​
    14·2 answers
  • What is the coefficients in 11x-4+8y
    14·1 answer
  • 4(kr - 8)+5k^2<br><br><br>r=6<br><br>k=9<br><br>show work
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!