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
Korolek [52]
3 years ago
7

If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

<u>-19  -19</u>

3m-19=-n      Divide everything by -1 to make n positive.

<u>/-1        /-1</u>

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        <u>-95 -95</u>

-13m=-65                    Divide both sides by -13.

<u>/-13    /-13</u>

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

You might be interested in
A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?
tigry1 [53]

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

3 0
2 years ago
Challenge A movie theater sends out a coupon for 35% off the price of a ticket. Write an equation
Greeley [361]

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

  • The price without discount (or without the coupon) is x.
  • The price with discount (or with coupon) is y.
  • y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

3 0
4 years ago
1. Find the slope and the y-intercept
Dvinal [7]

Answer:

c) slope: -7 ; y-intercept: 2

Step-by-step explanation:

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note in this case:

y = (-7)x + 2

y = y

m = -7

x = x

b = 2

c) slope: -7 ; y-intercept: 2 is your answer.

~

4 0
3 years ago
Apply the Binomial Theorem to the expression (x^2+1)^2
KiRa [710]

Answer:

Step-by-step explanation:

(x^2 +1)(x^2 +1)

x^4 +x^2+x^2 +1

x^4+2x^2 +1 answer

Hope this helps!

6 0
3 years ago
Read 2 more answers
Sweatshirts sold: 3. money collected: $60. "use the unit rate to complete the table" Can somebody help me find the unit rate?
Slav-nsk [51]
$60/3 shirts= a unit rate of $20
3 0
3 years ago
Other questions:
  • A school wants to attract more students to its media center. The media specialist has been asked to conduct a survey to determin
    8·1 answer
  • The spending habit that will lead too the worst financial situation is to?
    15·1 answer
  • A tea that is 22% jasmine is blended with a tea that is 13% jasmine. How many pounds of the 22% jasmine tea are used to make 10l
    11·1 answer
  • A book falls from a shelf that is 5 feet above the floor. A model for the height h in feet if an object dropped from an initial
    6·1 answer
  • Change 13/20 to a decimal
    7·2 answers
  • 3. A tunnel is 300 feet deep and makes an angle of 30° with the ground, as shown below.
    6·1 answer
  • neuro cell phone plan is $40 per month plus a $0.15 per per charge for each minute of 200 minutes or call time if he if his cell
    6·1 answer
  • Prove that 1<br><br> 1<br><br> 1 2<br><br> +<br><br> + = cot<br><br> sin . θ<br><br> cosecθ θ
    10·1 answer
  • All of the equations to –32 = k + –19
    12·1 answer
  • An angle of 1.5 rad intercepts an arc on the unit circle. what is the length of the intercepted arc?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!