Mathematics High School

Solve the given system by substitution.

Solve The Given System By Substitution.

Answers

Answer 1

Answer:

(-3, -15)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

n = 5m

n = 2/3m - 13

Step 2: Solve for m

Substitution

Substitute in n:                                 5m = 2/3m - 13Subtract 2/3m on both sides:          13/3m = -13Divide 11/3 on both sides:                m = -3

Step 3: Solve for n

Define equation:                    n = 5mSubstitute in m:                      n = 5(-3)Multiply:                                  n = -15
Answer 2

Answer:

Step-by-step explanation:

5m = 2/3m - 13

15m = 2m - 39

13m = -39

m = -3

n = 5(-3)

n = -15

(-3, -15)

Related Questions

A cone has a base of [tex]5.4[/tex] and a height of [tex]8[/tex]. The diameter is [tex]6[/tex]. What is the volume? If you were to dilate the cone with a scale factor of [tex]2[/tex], what would the new radius be?

Answers

Answer:

(I) V = 24π ≈ 75.3982 units³

(II) V = 192π ≈ 603.186 units³

General Formulas and Concepts:

Math - Symbols

π - pi, the number 3.1415926535897932384626433832795

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

DilationsDiameter: d = 2rVolume of a Cone: [tex]V= \frac{1}{3} \pi r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Height h = 8

Diameter d = 6

Base b = 5.4 (not needed in calculations)

Step 2: Find radius r

Substitute:                    6 = 2rIsolate r:                        3 = rRewrite:                         r = 3

Step 3: Find V of Normal Dimensions

Substitute:                    [tex]V= \frac{1}{3} \pi (3)^2(8)[/tex]Exponents:                   [tex]V= \frac{1}{3} \pi (9)(8)[/tex]Multiply:                        [tex]V= 24 \pi[/tex]Evaluate:                      [tex]V \approx 75.3982[/tex]

Step 4: Find Dilations

Scale Factor: 2

Define radius:                    r = 3Dilate:                                 r' = 3(2)Multiply:                              r' = 6Define height:                    h = 8Dilate:                                 h' = 8(2)Multiply:                              h' = 16

Step 5: Find V of Dilated Dimensions

Substitute:                     [tex]V= \frac{1}{3} \pi (6)^2(16)[/tex]Exponents:                    [tex]V= \frac{1}{3} \pi (36)(16)[/tex]Multiply:                         [tex]V= 192 \pi[/tex]Evaluate:                       [tex]V \approx 603.186[/tex]

If you place $2000 in a savings account that generates 4% interest. How much simple interest will you earn over3 years?

Answers

The correct answer for this would be 240 hope this helps!

What is the equation in slope-intercept form of the line that passes through the point
(5,0) and is parallel to the line represented by y = 2.4x - 1.7?

Answers

Answer:

i really dont know sorry i just need points

Step-by-step explanation:

Answer:

Step-by-step explanation:

NEED HELP FAST!!!!!
20 points pls

Answers

Answer:

A. because both variables (y and x) cancel each other out because they are equal. The answer to A is 0=6, which is clearly not true. All other choices have a solution that is possible, because at least 1 of the variables doesn't cancel itself out.

help me yaall for 17 point

Answers

8, look at the attachment for work

What is the cost of the bill if a drink costs $3, a meal costs $20, an appetizer costs $5.50 and a slice of cake cost $3. 75?​

Answers

32.25 is the cost of the bill

can anyone help me with this please?:)​

Answers

Answer:

A

Step-by-step explanation:

The answer is A just did it and I got it right

write the additive and multiplicative imverse of -1/2 ?​

Answers

Answer:

The additive inverse is [tex]\frac{1}{2}[/tex], and the multiplicative inverse is -2.

Step-by-step explanation:

Hope this helped!

I need some help on this-

Answers

Answer:

It is 57

Step-by-step explanation:

I am smart

Believe me!

Balloons are smart!

In the slope-intercept form, which variable
represents the slope/measure of change?

Answers

Step-by-step explanation:

Hey there!

We know that the slope intercept is; y = mx+b.

Where "m" represents the slope. And "b" represents the y-intercept.

Example:

If the question is as; y = 3x +8

Then your slope of the slope intercept form is "3" where as "8" is y-intercept.

So, the variable"m" represents the slope.

Hope it helps...

Step-by-step explanation:

Hey there!

We know that the slope intercept is; y = mx+b.

Where "m" represents the slope. And "b" represents the y-intercept.

Example:

If the question is as; y = 3x +8

Then your slope of the slope intercept form is "3" where as "8" is y-intercept.

So, the variable"m" represents the slope.

Hope it helps...

need help thank you very

Answers

Answer: 40, -16,-9

Step-by-step explanation:

A. -10+30-20+40

    -30+70

     70-30

      40

b -51+35-0

   35-51

    -16

c. -6+2-8+3

   -14+5

     5-14

      -9

   

answer this. 60+80=??
இ௰இ please-

Answers

Answer:

140

Step-by-step explanation:

just add them together

Answer:

Itssss 140 yayyyyyyyyyyyyy

solve the problem in the picture

Answers

Ok buddybfhdbdbddbbddd

3. The triangles are similar. Find the value of x.

Answers

Answer:

yeah

Step-by-step explanation:

Answer: Is it 3?

Step-by-step explanation:

help me plaese if u dont mind

Answers

Answer:

C)   −2.2y−1.8

Step-by-step explanation:

1.2y+4.5-3.4y-6.3=

Combine Like terms:

=−2.2y−1.8

The graph below compares the income and expenses involved in the production and sales of tennis shoes at a shoe factory. How many pairs of tennis shoes must be sold for income and expenses to be equal? 40,000 60,000 1,600 800

Answers

Answer:

A

Step-by-step explanation: Just did it

Which of the following is equal to log24

Answers

Answer:

Step-by-step explanation:

Put a picture

What is 20% less than 18.5?

Answers

Answer:

15.5

Step-by-step explanation:

Answer:

14.8

Step-by-step explanation:

20% less than 18.5 is  14.8

Juan read 300 pages in 5 days which reading rate is equivalent

Answers

Answer:

600 pages in 10 days

Step-by-step explanation:

10x^3-35x^2 please help me

Answers

Answer:

5x^2(2x-7)

Step-by-step explanation:

Hope this helps!

can someone help me w. this

Answers

Answer:

Step-by-step explanation:

(x, y) ----> (- x, y)

J(4, 1) ------> J' (- 4, 1)

K(1, 0) -----> K' (- 1, 0)

L(2, - 4) ----> L' (- 2, - 4)

Evaluate 3k - 4m when k= 20 & m= -2

Answers

Answer:

68

Step-by-step explanation:

3x20=60-4x-2 =           4x-2=-8  60-{ -8}= 68

why do you multiply both sides 4/3 represent in the arithetic.

Answers

Answer:

I don't even know what arithetic is

Step-by-step explanation:

Helllllllp ill give out brainliest nooooooo spams

Answers

Answer:

77 centigrams = .077 decagrams

Step-by-step explanation:

Because 1 centigram = .001 decagram

Answer:

0.077

Step-by-step explanation:

your welcome

18.
A rectangular garden is going to be planted in a
person's rectangular backyard, as shown in the
accompanying diagram. Some dimensions of the
backyard and the width of the garden are given.
Find the area of the garden to the nearest square
foot.
scale)
80 ft
15 ft
40 ft
Yard
agram, right triangle ABC
, BA is a diameter,
1 AC = 8 centimeters. Find
portion to the nearest tenth
[Use a = 3.14.]
Garden
70 ft

Answers

Answer:

162ft

Step-by-step explanation:

Bus 26 takes 2 3/4 hours to complete its bus route. How many times can Bus 26 complete its route in 16 hours?

Answers

Answer:

i dont understand the question

Step-by-step explanation:

What is the slope of the graph of y=12x−19
y
=
12
x
−
19
?

Answers

It’s A- 19/12

Substitute y=0

Move the Variable to the left

Divide both sides by -12

Then the answer is 19/12
The slope would be 12. In that equation, 12= m. M means the same thing as slope.

What number can you put in the missing spot of the domain to keep the table a function? Select all that apply.​

Answers

Answer:

1,8 and 5,10

Step-by-step explanation:

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \

Answers

Answer:

y=0.35m+50

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

y=0.35m+50

Solve the proportion 20 over three equals ? / 6

Answers

20/3 should equal 6 2/3
This is worded kind of weird but I think it would be 40/6 because to get from 3 to 6 you multiply by 2 so you do the same to the top to get

40/6
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