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
alisha [4.7K]
2 years ago
9

Find the value of y when x equals 4. -3x + 9y = -57

Mathematics
2 answers:
ANTONII [103]2 years ago
4 0

Answer:

y = -5

Step-by-step explanation:

Isolate y:

-3x + 9y = -57

9y = -57 + 3x

y = (-57/9) + (3/9)x

Substitute for x:

y = (-57/9) + (3/9)(4)

y = (-57/9) + (12/9)

y = (-45/9)

y = -5

GalinKa [24]2 years ago
4 0

Answer:

\mathsf {y = -5}

Step-by-step explanation:

\textsf {Given :}\\\textsf {-3x + 9y = -57}

\textsf {Divide throughout by 3 :}

\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}

\mathsf {-x + 3y = -19}

\textsf {Substitute x = 4 :}

\mathsf {-(4) + 3y = -19}

\mathsf {3y = -15}

\textsf {Divide by 3 on both sides :}

\mathsf {\frac{3y}{3} = \frac{-15}{3} }

\mathsf {y = -5}

You might be interested in
The Print Shop provides copying services to the general public. The Print Shop has equipment which is capable of making 1,800 co
steposvetlana [31]

a) The financial analysis determining the acceptance of the special order is as follows:

Data and Financial Analysis:

Capacity of photocopier per hour = 1,800 copies

Practical capacity of equipment = 7 hours

Total copies in a day = 12,600 (1,800 x 7)

Steady demand per day = 10,000

Variable cost per copy = $0.22

Service price per copy = $0.25

Profit per copy = $0.03 ($0.25 - $0.22)

Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)

Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)

Price per copy for the special customer = $0.24

Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)

Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)

Profit from other probable customers = $228 (7,600 x $0.03)

Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)

Lost profit if order is <u>not accepted</u> and demand is only 10,000 copies = $78 ($378 - $300)

  • Therefore, the special order at $0.24 should be accepted.

b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02

= 5,000 + 2,500

= 7,500 copies

Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.

Learn more: brainly.com/question/22599880

7 0
3 years ago
Which graph corresponds to the following inequality? A. B. C. D.
zlopas [31]
I can see the question but if you add a picture maybe i’ll understand it a little more
6 0
2 years ago
How do I solve quotients
marshall27 [118]
Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom.
4 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 less than 3 times its width. The perimeter is
My name is Ann [436]

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

8 0
3 years ago
A total of 753 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more stud
SVETLANKA909090 [29]

Answer:

350

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write a linear function f with the given values f(0) = -5 f(4) = -3
    8·1 answer
  • Plz help i attached a photo
    5·1 answer
  • Write 12/15 in the simplest form
    5·2 answers
  • Which binomial must be subtracted from (10r-7) so that the difference of the 2 polynomials is (93r+12)?
    11·1 answer
  • Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of
    13·1 answer
  • in a state with a population of 2000000 the average vitizen spends 6000 on housing each year. what is the total spent on housing
    12·1 answer
  • On a deposit of $10,000 that earns 4% compound interest (compounded annually), how much will you have after 8 years?
    9·1 answer
  • When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
    11·1 answer
  • When Carla looked out at the school parking lot, she noticed that for every 2 minivans, there were 5 other vehicles. If there ar
    9·2 answers
  • What is the value of the expression<br> 2(x + 4) - (y.8)<br> when x=1/8 and y=3/16
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!