Mathematics High School

use the substitution method to solve the system of equations. choose the correct ordered pair

Answers

Answer 1

Answer:

x = 3

y = 21

(3,21) and if u want slope it will be 7 :D

Step-by-step explanation:

y = 10x - 9

y = x + 18

1. Substitute for the y

10x - 9 = x + 18

2. Add 9 onto both sides

10x - 9 + 9 = x + 18 + 9

10x = x + 27

3. Subtract x on both sides

10x -x = x - x+ 27

9x = 27

4. Divide by 9 on both sides

9x/9= 27/9

x = 3

__________________________________________________________

Now that you have x, substitute that into one of the equations

y = x + 18

y = 3 + 18

y = 21

y = 10x - 9

y = 10(3) - 9

y = 30 - 9

y = 21

there both the same

__________________________________________________________

x = 3

y = 21

Hope this helped!

Answer 2

Answer:

x +18 = 10x -9 (since they both = y, set them equal to each other. )

-9x +18 = -9 (subtract 10x from both sides, then subtract 18 from both sides)

-9x = -27 (divide both sides by -9 to isolate x)

x= 3 (take this and plug it into one of the equations to solve for y)

y = x +18 (i choose this one)

y = 3+18 (add)

y = 21 (take this and x and make a point and that's your answer)

(3,21) or C

Step-by-step explanation:

I hope this helps :)

Related Questions

Sneakers at Mr. Lou's garage sale cost the same price. Alexander paid $90.52 for four pairs. How many pairs of sneakers did Justin buy if he paid $135.78? Write a proportion and use cross products to solve for d, the number of sneakers that David bought

Answers

Answer:

6 pairs

Step-by-step explanation:

Since we are given a ratio/proportion problem and 3 values and 1 variable then we can use the Rule of three to solve this problem. We simply multiply the diagonal values available and divide by the 3 value to find the variable of the ratio like so...

4 pairs <======> $90.52

d pairs <======> $135.78

(4 * 135.78) / 90.52 = 6 pairs

Finally, we can see that Justin ended up buying a total of 6 pairs of sneakers.

A number x increased by 17 is 106

Answers

Answer:

x = 89

Step-by-step explanation:

106 - 17 = 89

1. Identify and explain one way in which the movie portrays historical facts accurately in the movie (History vs. Hollywood).

Answers

In the nutcracker movie during Christmas the ‘follow the string to the presents’ was accurate and so was the costuming

I need help
Evaluate using the order of operations.
3/4 +5/6 divided by 2/3

Answers

Answer:

Step-by-step explanation:

I Think its 2 I'm not sure Correct me if I'm wrong in comments.

Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month. If you sign up for Mega-Gym, how many months is it until your cost os the same as Mega-er-Gym?

Answers

Answer:

3 months

Step-by-step explanation:

So 60 dollar down and 70 per month

130 (60+70)

200

270

now 90 per month but no down

180

270

So 3 months

The number of months will be 3 is it until your cost is the same as Mega-er-Gym. The correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month.

Cost of Megagym = 60 + 70m

Cost of Mega-er-Gym = 90m

90m = 60+70m

20m = 60

m = 60 / 20

m = 3 months

To know more about an expression follow

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Evaluate the expression if x=2 and y=4
4x + 3y
1. 13
2. 15
3. 20
4. 21

Answers

4(2) + 3(4) =

8 + 12 =

and your final answer is 20

Please help !!! It’s due today

Answers

Answer: D

Step-by-step explanation:

the second one cant be it because its negative and it would end in a negative result and 3,1 is equal to 2x-5 on the graph

Pls help!!!!! 20 points! and brainliest!!!

Answers

Answer:i tried

Step-by-step explanation:

Sarah has to travel 60 miles to see her friend. Her dad drives at 30 mph and her uncle drives at 40 mph. How much time does she save if she travels with her uncle rather than her dad

Answers

Answer:

1h30min

Step-by-step explanation:

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of the following is closest to the percent error for Diego's measurement?

Answers

Answer: 4.3%

Step-by-step explanation:

100(23 -23)/23

PLzzzzzzz help m on this I am stuck

Answers

Answer:

what are you stuck on?

Which problem?

Step-by-step explanation:

An air traffic controller is tracking two planes. To start, Plane A was at an altitude of890 meters, and Plane B was at an altitude of1322 meters. Plane A is losing altitude at 16 meters per second, and Plane B is losing altitude at25 meters per second.

Answers

Equation to show when they'll both be at the same altitude

Answer:

890 - 16x ; 1322 - 25x ; 9x = 432 = x = 48

Step-by-step explanation:

Plane A:

Altitude = 890 m

Altitude loss = 16 m per second

Plane A:

Altitude = 1322 m

Altitude loss = 25 m per second

Equation :

Altitude - (altitude loss * time)

Plane A:

890 - 16x

Plane B:

1322 - 25x

Plane A = Plane B

890 - 16x = 1322 - 25x

-16x + 25x = 1322 - 890

9x = 432

x = 432 / 9

x = 48 seconds

Please help me ASAP!

Answers

answer is -4.2c+4.8d

delta math help plz im stuck

Answers

Step-by-step explanation:

-70x^4 + 30x

= 10x(-7x^3 + 3)

ANSWER: 10x(-7x^3 + 3)

Consider the first 2 terms of the sequence -6, 18,...
1. Determine the next 5 terms in the sequence if the sequence is arithmetic. Then write a function to
represent the arithmetic sequence.
2. Determine the next 5 terms in the sequence if the sequence is geometric. Then write a function to
represent the geometric sequence.

Answers

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is [tex]a_n=-6(-3)^{n-1}[/tex]

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

To learn more about an arithmetic sequence visit:

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what is the value of 5 in this number 124.519 write your answer as a frasction

Answers

Tenths 5/10=1/2 hope this helps

6. What is the solution of the system
of equations?

2x + 3y = 12
-6y = 4x - 24
A. X = 3, y = 2
B. X = 6, y = 0
C. Infinitely many solutions
D. No solution

Answers

Answer:

Step-by-step explanation:

If you rewrite the questions into linear form (y=mx+b) then you get

For the first one

2x-12= -3y

Divide by -3 and get

-2/3x +4 =y

For the second one

-6y=4x -24

Divide by -6 and get

y= -4/6x +4

Simplify the fraction and you get -2/3x+4 =y

Obviously these two lines are identical meaning that any number will work

the answer should b c infinitely many solutions

Three times a number is 4 more than twice the number

Answers

Answer:

3n = 2n + 4

Step-by-step explanation:

That is that as an equation.

Station 4
A library just hired Brittany to write reviews on different books. Brittany to read 36 books
in 9 weeks.
How many books was she required to read per week? Create a table to show how many
book she reads each week.
<

Answers

Answer:

4 books per week

Step-by-step explanation:

Table

Books per week Week

4 1

8 2

12 3

16 4

20 5

24 6

28 7

32 8

36 9

math
pls help dudndjrjdjr

Answers

Answer:

it is not possible

Step-by-step explanation:

6+4=10

10+8=18

so it is not possible

One pizza costs 3 times as much as a soda. If the price of one
pizza and a soda is $5, what is the cost of one pizza?

Answers

Answer:

Step-by-step explanation:

i don't know step by step but I have this same problem and the answer is 2

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of n (no aproximations).

Answers

Answer:

Where's the shaded region?

What is 0.2 x 0.8. Please help

Answers

Answer:

Simplifying 0.2x = 0.8 Solving 0.2x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '0.2'. x = 4 Simplifying x = 4

7th grade math help me pleaseee :)

Answers

Answer:choice 2

Step-by-step explanation:Combine like terms which are 3x +8x equals 11x

then you do 7-2 which equal 5.And then you add 11 x to 5.

Hope it helps .Brainliest please?

Number 2 is the right answer
You combine like terms , 3x + 8x = 11x and subtract and get 5 .

a ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t). h(t)=-16t^2+20t, where t is measured in seconds and h(t) is measured in feet. drag the values to the lines to complete each sentence.

1. The ball reaches its maximum height when t is ____ seconds.

2. The maximum height of the ball is ____ feet.

3. The balls hits the ground when t is ____ seconds.

OPTIONS: 0.4 0.625 0.8 1.25 5.44 6.25 12.5 25

Answers

Answer:

1.-t₁ = 0,625 s

2.-h(max) = 6,25 f

3.-t = 1,25 s

Step-by-step explanation:

V₀ = 20 f/s

h(t) = - 16*t² + 20*t

h(max) = ??

h´(t) = - 32*t + 20

h(max) will occurs when V = 0 dh/dt = 0 then

- 32*t + 20 = 0

- 32*t = -20

t = 20/32

t₁ = 0,625 s

h(max) = h(0,625) = - 16*(0,625)² + 20*0,625

h(max) = - 6,25 + 12,5

h(max) = 6,25 f

c) The ball will hit the ground

t = 2*t₁

t = 2*0,625

t = 1,25 s

please.
What does f(10) = for the function f(x) = -2X + 5*
(1 Point)

Answers

the answer should be -5 bc you substitute the 10 for x

express 80 as an product of it's prime number

Answers

Answer:

"When you will get the factors of 80 you will get 2 * 2 * 2 * 2 * 5.

These numbers are the prime numbers that make them the prime factor of the 80.

It is known as prime because the number will not be divided by any other number except themselves or 1."

Step-by-step explanation:

Answer:

Step-by-step explanation:

wish this is your answer

Write the number 23.785 in expanded form and in word form

Answers

Answer:

20+3+0.7+0.08+0.005

Step-by-step explanation:

can you follow me

Lily, Juliet, and Willow are baking muffins. Lily has 1 1/2 cups of flour, Juliet has 3/4 cup of flour, and Willow has 1 2/6 cups of flour. How many cups of flour do they have altogether?

Answers

Answer: 3 7/12

Step-by-step explanation:

From the question, we are given the information that Lily has 1 1/2 cups of flour, Juliet has 3/4 cup of flour, and Willow has 1 2/6 cups of flour.

The number of cups of flour that they have altogether would be the addition of all the fractions of each girl. This would be:

= 1 1/2 + 3/4 + 1 2/6

The lowest common multiple is 12, therefore we make them have a common denominator

= 1 6/12 + 9/12 + 1 4/12

= 2 19/12

= 2 + 1 7/12

= 3 7/12 cups

Find the next 3 terms of each sequence
1. [4, 8, 12, 16 ...}

Answers

Answer:

20, 24, 28

Step-by-step explanation:

Hope this helps!

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