Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24

Answers

Answer 1

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4


Related Questions

Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?

exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times​

Answers

Answer:

roughly 20 times

Step-by-step explanation:

2/6 = 1/3 is the probability he will roll a 3 or a 6

1/3 * 60 = 20.

It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.

A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.

Define the Random Variables X and P', in words. which of the following?

a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.

Answers

Answer:

The correct answer is c.

Step-by-step explanation:

x  represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion

P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%

P= 6.41÷458×100=1.4%

When completely factored, 8x + 2y - 4

Answers

Answer:...

-4+8x+2xy

Step-by-step explanation:

List all the factors.
48

Answers

Answer:

Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Answer:

1,2,3,4,6,8,12,16,24,48

Step-by-step explanation:

Is graphite all of the following?

Pure substance
Element
Compound
And Molecule

Pls help asap

Answers

Answer: Yes!

Step-by-step explanation:

Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.

The temperature in the morning is 18.6 C. By noon the temperature rises 8.5 C. What is the temperature at noon

Answers

Answer:27.1c

Step-by-step explanation:

18.6 + 8.5 =27.1

Answer:

27.1

Step-by-step explanation:

Need help on question hurry

Answers

Answer: C

Step-by-step explanation: it is c trust me

whats 3(2x-1)+7=6x-3-2(2-4x)

Answers

Answer:

x = -1

Step-by-step explanation:

DistributeCombine like-termsSimplifyboom

Solve for y: y+4 = -2(x – 6)​

Answers

y=-2x+8
l hope that helps

64 people ordered a veggie burger at a local hamburger stand out of 160 people in an hour. What percentage of the customers ordered a veggie burger ?

A 40%
B 60%
C 64%

Answers

Answer:

A

Step-by-step explanation:

What are the dimensions of a 2x4x8

Answers

Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

give me stuff thats equivalent to 2/10
plz
i dont know my mafs

Answers

1/5 hgghhshzhzhzhnxhdhdhd

Courtney walks 5 laps around 1/4 mile track. how far does she walk?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?​

Answers

Answer:

6,8,and 10

Step-by-step explanation:

Answer:

6,8,and 10

Step-by-step explanation:

when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.

1. 2+5>10 = 7>10 FALSE

2. 4+5>10 = 9>10 FALSE

3. 6+5>10 =11>10 TRUE

4. 8+5>10 = 13>10 TRUE

5. 10+5>10 = 15>10 TRUE

The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?

Answers

(12½) ÷ (⅙) = (25/2) ÷ (⅙) = (25/2) × (6/1) =75

The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .

Answers

Answer:

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

Step-by-step explanation:

We use the central limit theorem to solve this question:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.46, n = 2000[/tex]

So

Mean: [tex]\mu = p = 0.46[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively

Proportion and standard deviation

The formula for calculating the standard deviation for a sample proportion is given as:

[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportionn is the sample size

Note that p = mean = 0.46

To get the standard deviation:

[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]

Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.

Learn more on sample proportion here https://brainly.com/question/22985943

Which table represent the statement "A computer repairman makes $25 per hour"?

Answers

C because you multiply

Answer:

c

Step-by-step explanation:

PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches

Answers

Answer:

The height = 18 inches

Step-by-step explanation:

The volume = area of the base × height

Area of the base = 40.5 inches²

The volume = 729 inches³

729 = 40.5 × height

Height = 729 ÷ 40.5 = 18 inches

I believe it might be 18 have a great day!

Find each difference.
• (-5) – 6 =
.
35 – (-8) =
.
43 - (-1) =

Answers

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.

Answers

Answer: 26

Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in

(4x+24)+ (3x-4)=90, then combine like with like.

7x+20=90

7x=70

x=10

Then let plug it in for angle B

(3(10)-4= 26

Answer:

x = 10°

∠B = 26°

Step-by-step explanation:

complementary means they add up to 90 degrees.

4x + 24 + 3x - 4 = 90°

combine like terms:

7x + 20 = 90°

7x = 70°

x = 10°

find the height of the cylinder if the volume is 340, and the length is 3

Answers

Answer:

113

Step-by-step explanation:

divide the volume with the length

a car is 180inches long. a truck is 75% longer then the car. how long is the truck?

Answers

Answer:

135 in.

Step-by-step explanation:

Marco sells and ships oranges from the trees in his orange grove for $1.25 per pound plus a shipping fee. One package has a shipping fee of $4.95 and a total cost of $11.20. Write and solve an equation to find the number of pounds of oranges in the package. Show your work.
(Please help ) ​

Answers

Answer:

Let x = the number of pounds of oranges in the packet.

The equation: 11.20 = 1.25x + 4.95

11.20 = 1.25x+4.95

6.25 = 1.25x

x = 5

There are 5 pounds of oranges in the packet.

Let me know if this helps!

I will give brainiest.

Answers

Answer:

the third one is the answer

Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results

Answers

Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

Answer:

35

Step-by-step explanation:

got it right

What is the multiplicative rate of change of the
function?

Answers

Answer:

the multiplicative rate of change for the exponential change is 3

Step-by-step explanation:

Tell whether the product of Prxs and Q5x3 is defined. If so, give the dimensions of PQ.

undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5

solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen

Answers

Answer:

theres no picture

Step-by-step explanation:

At one​ store, Alex saved ​$10 with a coupon for 50​% off her total purchase. At another​ store, the ​$28 she spent on books is 56​% of her total bill. How much did Alex spend in all at the two​ stores?

Answers

Your total would be $30 sit on my butt bubble

Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.

Answers

Step-by-step explanation:

M=9.5 (16,292)

(y=mx+b)

292=9.5(16)+b

The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Mark takes a job at the local grocery store, earning $9.50 per hour.

After working 16 hours at the grocery store, he earned a total of $292.

As per the given question, we can see points (16, 292)

Here earning $9.50 per hour can represent a slope of a linear function

Thus, M = 9.5 (16, 292)

The standard linear equation is given by,

⇒ m = Mx+b ....(i)

Substitute the values in the above equation,

292 = 9.5(16) + b

b = 292 - 152

b = 140

Substitute the value b = 140 in the equation(i),

⇒ m = 9.50 h + 140

Thus, the linear equation m = 9.50 h + 140 represents the amount of money.

Learn more about the Linear equations here:

https://brainly.com/question/13738061

#SPJ2

You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent

Answers

Answer:

the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Step-by-step explanation:

As given , RST and angle TUR are right angles.

So the triangles are right angle triangles.

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

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