6
Identify a possible first step using the elimination method to solve the system and then find the solution to the
system
3x + 2y = 24
6x + 2y = 30
A)
Multiply second equation by 2, solution (2,9).
B)
Multiply first equation by -2, solution (2,9).
Multiply second equation by 2, solution (2, -9).
D)
Multiply first equation by -2, solution (2, -9). Li

Answers

Answer 1

Answer:

B

Step-by-step explanation:

3x + 2y = 24

6x + 2y = 30

Multiply the first equation by -2.

-6x - 4y = -48

Add to the second

-2y = -18

y = 9

Plug back in the first.

3x + 2(9) = 24

3x = 6

x = 2


Related Questions

True or False. (1, – 7) is a solution to the following systems of equations.

Answers

Answer:

False

Step-by-step explanation:

Hope it helps

BONUSES A company has set aside 10 dollars for annual employee bonuses. If the company has 10 employees and the money is divided equally among them, how much will each employee receive?​

Answers

There are several types of bonuses. Some plans simply give employees a certain share of the company profits. Other programs give incentives to individuals or teams to perform at or above certain thresholds. The following article details 10 types of bonuses that are typically seen in the workplace.

Please mark brainliest! :)

what is the result of converting 20 ounces into pounds? remember that 1 pound = 16 ounces

Answers

Answer:

1.25 pounds

Step-by-step explanation:

20/16=1.25

^ Ounces

      ^Ounces in pound

               ^Result/pounds

Solve for the variable -x=-12

Answers

Answer:

It's x = 12

Explanation:

-12 = -12

12 bro it’s actually rlly easy if u think abt it

The sum of a number and 10 is less then 25

Answers

Answer:

x+10-25

Step-by-step explanation:

Not to sure on this you weren't very specific.

Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.
1
8
4
m
38
X
п

Answers

Answer:

x = 19

Step-by-step explanation:

l, m and n are the parallel lines.

Two transversal lines are intersecting these parallel lines.

By Intercept theorem,

Lengths of intercepts between the parallel lines are proportional.

[tex]\frac{38}{8}=\frac{x}{4}[/tex]

x = [tex]\frac{4\times 38}{8}[/tex]

x = 19

Therefore, x = 19 will be the answer.

Who wants 50 points to answer these questions (look at photo)

Answers

Answer:

       -Dont know -

Step-by-step explanation:

o-oooo

.................____._.____......._..._-

PLEASE HELP. this is extra credit! ill provide brainliest (if im able too)

Answers

Answer:

∠ADF = ∠ECF × 2

Step-by-step explanation:

∠ABC = ∠EBD = ∠ADF = ∠ECF × 2

Thus, meaning that they are congruent to each other.

Have a great day!

Predict the next number in the sequence: 1, 4, 16, 64…

Answers

Answer:

264

Step-by-step explanation:

because it is mulitplying by 4

Answer:

1,4,16,64,256,1024,4096.......

Step-by-step explanation: Because you have to multiple by 4 for here: 1*4=4, 4*4=16, 16*4=256, 256*4=1024, 1024*4=4096....

What is 2/3 + 1/9 equal????

Answers

Answer:

2/3+1/9 =7/9

Step-by-step explanation:

u are looking for the lcm of 3 and 9 and then u divide the denominator and mutiply the numerator to get the answer

A bag containing food has mass 3.813 kg. When the bag is empty its mass is 257 g. Find in kilograms the mass of the fruit

Answers

Answer:

I think it is 0.257 kg

Step-by-step explanation:

To change units from the gram to kilogram, you need to divide by 1000, because 1kg=1000g:

257÷1000= 0.257 Kg

The mass of the fruits in kilogram (kg) is 3.556 kg

Given:

Mass of the bag containing fruits = 3.813 kg

Mass of the empty bag = 257 g

convert

257 g to kg

257 g = 0.257 kg

Mass of the bc fruits = Mass of the bag containing fruits - Mass of the empty bag

= 3.813 kg - 0.257 kg

= 3.556 kg

Therefore, the mass of the fruits in kilogram is 3.556 kg

Read more:

https://brainly.com/question/21341938

A tire manufacturer knows that 5% of tires contain a defect, and the presence of a defect is independent from tire to tire.
What is the probability that if 5 tires are inspected, exactly 1 has a defect?
Round to 3 decimal places.

Answers

Answer:

the answer is 0.204

Step-by-step explanation:

The probability that if 5 tires are inspected, exactly 1 has a defect is 0.204

How to determine the probability?

The probability that a tire is defect is given as:

p = 5%

The required probability is then calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

Where:

n = 5 --- number of tires

x = 1 ---number of tires with defect

So, we have:'

[tex]P(1) = ^5C_1 * (5\%)^1 * (1 - 5\%)^{5 - 1}[/tex]

This gives

[tex]P(1) = 5 * (5\%) * (1 - 5\%)^4[/tex]

Evaluate the product

P(1) = 0.204

Hence, the probability that if 5 tires are inspected, exactly 1 has a defect is 0.204

Read more about probability at:

https://brainly.com/question/251701

#SPJ2

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period. Alexa’s Graph A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6). Mia’s Table A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13. Based on the data on the graph and in the table, which statement gives an accurate comparison? Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table. Alexa traveled at a faster rate because the slope of her line is Four-thirds, which is greater than the slope of the line described by the data in Mia’s table. Mia traveled at a faster rate because the slope of the line described by the data in her table is One-half, which is greater than the slope of the line on Alexa’s graph. Mia traveled at a faster rate because the slope of the line described by the data in her table is StartFraction 2 Over 1 EndFraction, which is greater than the slope of the line on Alexa’s graph.

Answers

Answer:

number 1

Step-by-step explanation:

Answer:

1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

We know that,

Slope of  and  is

Mia records the distance traveled over the time by the table.

Taking the points (10,5) and (18,9), the slope is given by,

Mia's slope =

i.e. Mia's slope =

i.e. Mia's slope =

Alexa records the distance traveled over the time by the graph.

Taking the points (4,3) and (8,6), the slope is given by,

Alexa's slope =

i.e. Alexa's slope =

As, Alexa's slope =  >  = Mia's slope.

So, the correct option is,

1. Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia’s table.

Answer:

1. Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

Two perpendicular lines intersect on the y - axis. If the equation of the first line is x + y = 1, what is the equation of the second?

Answers

Y= x+1 should be the right answer

Graph this system of equations.

1.15x + 0.65y = 8.90

x − 3y = -15

Answers

Answer:

We have the equations:

1.15x + 0.65y = 8.90

and

x − 3y = -15

First, let's write them in the slope-intercept form:

The first one will be:

y = -(1.15/0.65)*x + 8.90/0.65  

The second:

y = (1/3)*x + 15/3 = (1/3)*x + 5.

then our system is:

y = -(1.15/0.65)*x + 8.90/0.65  

y  = (1/3)*x + 5.

To graph each line, you can just evaluate the line in two points (for x = 0 and x = 1, for example) and then locate those points in the coordinate axis, and then draw a line that connects them.

For example with the second line:

y(0) = (1/3)*0 + 5 = 5

then we have the point (0,5)

and

y(3) = (1/3)*3 + 5 = 8

Then we have the point (3,8)

With the first equation may be a little harder, as the coefficients are not whole numbers, we can rewrite it as:

y = (1.15/0.65)*x + 8.90/0.65  = (115/65)*x + (890/65)

Where i multiplied and divided by 100 the numerators and denominators in the right side, so now is easier to work with it.

The points you can use are:

y(0) =  (115/65)*0 + (890/65) = 13.7

the point is (0, 13.7)

and:

y(1) = (115/65)*1 + (890/65) = 15.5

The point is (1, 15.5)

Below you can see the graphs of both functions:

blue: y = -(1.15/0.65)*x + 8.90/0.65

red: y  = (1/3)*x + 5

The answer is in the picture below!

There are 12 rabbits at a pet store Gabriela has 5 1/2 ounces of parsley to feed the rabbits how much parsley does each rabbit get???

Answers

Answer:

2.18 ounces

Step-by-step explanation:

12/5.5=2.181...

rounded it is 2.18

hope this helps :3

if it did pls mark brainliest

Pls tell me something this problem solve

Answers

Answer: B 124

Step-by-step explanation:

When you have problems like this, you would add the two angles inside the triangle to get the measurement for the outer angle. so 37 + 87 equals 124.

Help am usually good at math but I don't understand this one problem

Answers

Answer:

Step-by-step explanation:

y = 70x + 100

-5x - 2 =13 how do I solve this and what’s the answer

Answers

Answer:

x= -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-5x-2=13

-5x=13+2

-5x=15

divide both side by -5

x = -3

Write the word sentence as an inequality.

A number w is greater than −3.

The inequality is

Answers

Answer:

w > -3

Step-by-step explanation:

2) Sally bought a soft drink for 3 dollars and 7 candy bars. She spent
a lotal of 31 dollars. How much did each candy bar cost?

Answers

Answer:

Each candy bar cost 4 dollars.

Step-by-step explanation:

First,

31-3 = 28

Next,

28/7 = 4

Therefore, each candy bar cost 4 dollars.

The original price of a scarf was $16. During a store-closing sale, a shopper saved $12 on the scarf. What percentage discount did she receive?

Answers

75%
____________________

Answer:

25%

Step-by-step explanation:

16*.25= 12

so 25%

x*+5X+6
please thanks

Answers

Your answer is going to be 5x^2+6 because if you simplify and do x(5)x +6 it will equal to 5x^2 + 6

Hope this helped!!

A student used this complex fraction to find a unit rate: (340 pages)/(3/4 hour.) Which quotient equals the fraction?

A. 3/4 ÷ 340
B. 4/3 ÷ 340
C. 340 ÷ 3/4

Answers

B

Step by step explanation

Yes yes I am going out of the way for now you have a good




Tell me if I’m right


Thanks again to your email I’m on my way back to the bell and I will be there in about the bell bell and I will be there in about the same time I will get it to your house and then I

in a sequence the first term is 7 and the common difference is 2 what is the fifth term

Answers

7, 14, 28, 56, 112.

The 5th term is 112

Answer:

-1

Step-by-step explanation:

countdown till you reach 5 or use a[tex]a_{n} = d (n - 1) + c[/tex]

how would I solve the system x + 2y = 13, -x + y = 5 when using elimination

Answers

Answer:

x + 2y = 13}(add the both eqns)

-x + y = 5}

x +(-x) = 0

2y + y = 3y

13 + 5 = 18

then,

3y = 18

y = 6

from

x + 2y = 13

x = 13 - 2(6)

x = 1

Name the constant of variation for y equals 1/4x then find the slope of the (0,0) and (4,1)... please

Answers

Answer:

Constant of variation: 1/4

Slope of the line: 1/4

Step-by-step explanation:

The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.

The slope formula states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".

let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?

Answers

a) not true. when x=0 f(x)=12.
we know this because plugging in 0 for x leaves you w 12.
b) 17.
plug in -1 for x. -5(-1) is 5. 12+5=17
i hope this is right

Given the following linear equation state the slope and the y-intercept.
y = 2x - 3
m =
b =

Answers

M= 2/1 slope , y intercept b= -3
M= 2

B= -3

I’m pretty sure

i need help with this question so please answer​

Answers

Answer:

29. A 30. C 31. C

Step-by-step explanation:

2/5+1/4+1/6=49/60

60-49=11 >>> 11/60

176/2pi = 28.0

3.89 - hundredths place but not so sure because if you round you get 3.90 so either D or C

Other Questions
Diurnal animals are active Algebra Slope intercept form Read this stanza from the poem "The Voice" by William Oandasan. for you, blue corn baby, my thoughts on a melody of love sail the sky What does the speaker mean by these lines? He likes to think about love songs for his friends and family. He is in love with another human being. He has loving thoughts for the higher power in which he believes. He thinks about how much he loves every member of his community. Read the excerpt from Letters of the Late Ignatius Sancho, An African. I am sure you will applaud me for beseeching you to give one half hour's attention to slavery, as it is at this day practised in our West Indies.That subject, handled in your striking manner, would ease the yoke (perhaps) of many What belief does Sancho express to Sterne in this excerpt? A. Sterne needs to stop supporting slavery. B. Sterne could use his writing to free many enslaved people. C. Sterne should write a letter in support of slavery. D. Sterne has to free some of the enslaved people who work for him. Which organ completes the majority of chemical digestion? aal67 this goes to you what is a coefficient?? A__ is a chemical substance that organisms require to live Given h(x)=-x+5h, solve for x when h(x)=0. Find the slope of the line that passes through the points (8,3) and (5,5) What is the slope and y-intercept of the function represented by the table slope =y-intercept = 4Multiple ChoiceYou wrote a program to find the factorial of a number. In mathematics, the factorial operation is used for positive integers and zero.What does the function return if the user enters a negative three?def factorial number):product = 1while number > 0product = product numbernumber = number - 1return productstrNum = input("Enter a positive integer")num = int(str Num)print(factorial(num))O-6O-3O There is no output due to a runtime error.0 1< PREVIOUSNEXT >SAVESUBMIT 2016 Glynlyon, Inc. All rights reserved.V6.0 3-0038 20200504 mainline Why did James Monroe and Robert Livingston act quickly to buy the Louisiana Territory?They felt that the purchase could stop a potential war between the US and France.They knew that President Jefferson would disagree with the price and the amount of land.They worried that President Jefferson did not have the authority to make the purchase.They were afraid that Napolon might change his mind and revoke the agreement. (0,1) & (4, -9) slopes ___ is an activity many famous historical biologists participated in. A driver speeds along a curved road and sees a fallen tree on the road. He applies the brakes but is unable to stop in time. When the car hits the tree, it slows down from 6 meters/second to 0 meters/second. What was the change in velocity during this time? The primary difference between a high relief and a low relief is that _________________a.a high relief must project at least halfway off the background.b.a low relief is carved into the background, where as a high relief is projected out.c.low reliefs are found only in Egyptian tombs and in Grecian art.d.a high relief must project no more than one-half of its images from the background.Please select the best answer from the choices providedABCD The support condition of the truss shown as Figure 1 below are such that the truss is pinned atA and supported by pin rollers at E. The truss is subjected to loading as shown on the Figure.a) Calculate the reactions at supports A and E.b) Calculate the force in each member of the truss. Reproduce and fill in the given tableby placing your answers in the columns designated (Force in the member) and(Nature of the Force i.e. strut or tie)80KN90KN3mDB60kN4mEF40 KN3m33m Why do you think school uniforms are good and bad? HELP (ASAP) good explanation plz You put $6000 in an account. The account earns $1050 simple interest in 5 years. What is the annual interest rate? An apple tree is 93 ft tall and a peach tree is 5ft tall. How much taller is theapple tree than the peach tree? help!!