elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the following systems could have led to this equation?

Elimination Was Used To Solve A System Of Equations. One Of The Intermediate Steps Led To The Equation

Answers

Answer 1

9514 1404 393

Answer:

  C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

  (4x +2y) -2(x +y) = (14) -2(3)

  4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

  2x = 8 . . . . . . . . . . . . . . collect terms

Elimination Was Used To Solve A System Of Equations. One Of The Intermediate Steps Led To The Equation

Related Questions

Complete the problems in measurements. Show answers in simplest terms.

e. Joseph has a bag of dog food that weighs 5 lb. He wants to feed his dog 7 oz. of dog food per day, How many days will the bag of dog food last?​

Answers

1lb = 16 oz
5(16)=80 lbs of dog food
80/7=11.4 days

Find the solution set of the inequality
\qquad8x - 8 \leq -72.8x−8≤−72.

Answers

Step-by-step explanation:

- 8 is the ans .hope this help you. mark me as brainliest

answer is -8 hope this helps

4
3. Fred used 1 1/6cups of raisins, and 3 1/3cups
of nuts to make his trail.mix. How many
cups of the mix did he make?

Answers

4 1/2

Explanation:
1 1/6 + 3 1/3
= 7/6 + 10/3
= 7/6 + 20/6
= 27/6
= 4 3/6
SIMPLIFY 4 3/6:
4 1/2

Have a nice day

3. Find the measure of the exterior angle in the diagram below.​

Answers

Answer:

the value of x is 29° which is b

Margot surveyed a random sample of 180 people from the United States about their favorite sports to watch. Then she sent separate, similar, survey to a random sample of 180 people from the United Kingdom. Here are the results:

Favorite sport to watch United States United kingdom Total
Basketball 60 51 111
Football 67 14 81
Soccer 28 86 114
Tennis 25 29 54
Total 180 180 360

Margot wants to perform a x^2 test of homogeneity on these results. What is the expected count for the cell corresponding to people from the United Kingdom whose favorite sports to watch is tennis?

Answers

Answer:

27

Step-by-step explanation:

The expected count in a χ² test can be obtained thus :

Expected count for each each point in a two way table ::

(row total * column total) / total

Therefore, expected count for cell corresponding to people from United Kingdom whose favorite sport is tennis :

Row total = (51+14+86+29) = 180

Column total = (25 + 29) = 54

Total = 360

Hence,

Expected count = (180 * 54) / 360

Expected count = 27

Please help me with this question

Answers

9514 1404 393

Answer:

  D(1, 2)

Step-by-step explanation:

The ordered pair is always (x-coordinate, y-coordinate).

The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.

The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.

The ordered pair describing the location of D is ...

  (x-coordinate, y-coordinate) = (1, 2)

Find the value of X

Answers

Answer:

100°

Step-by-step explanation:

the lower right angle is 180-149 = 31°

the sum of all three angles in a triangle is 180°.

so the solution is 180-31-49

how is 470000000 written in scientific notation​

Answers

Answer:

4.7 * 10^8

Step-by-step explanation:

A segment has endpoints A and C. What are two names for the segment?

Answers

Answer:

Ac CA is your answer

Step-by-step explanation:

MARK ME AS BRAINLIEST

AC and CA

Step-by-step explanation:

[tex]line \: which \: has \: endpoint \: \\ \\ A \: and \: C \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ it \: shows \: that \: line \: starts \: from \: \\ \\ A \: \: and \: ends \: with \: C \\ \\ so \: \: its \: name \: is \: \: \: \: AC \\ \\ hope \: it \: is \: helpful \: to \: you....[/tex]

Please Find the value of x and y

Answers

Answer: x=40° and y=140°

Step-by-step explanation:

From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.

x=40°

With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.

40+y=180       [subtract both sides by 40]

y=140°

Now we know x=40° and y=140°.

A random sample of items is selected from a population of size . What is the probability that the sample mean will exceed if the population mean is and the population standard deviation eq

Answers

Answer:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Central Limit Theorem for the sample mean:

Sample of size n, and thus:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]Z = \frac{X - \mu}{s} = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Probability of the sample mean exceeding a value:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Can someone help me with this question please..

Answers

Answer:

B = (3,3)

Step-by-step explanation:

The order pair of B is (3,3)

3 is x component

3 is y component

Some one help me with this pls!!!

Answers

Answer:

V = 2,495.5 ft³

Step-by-step explanation:

Volume of the given cylinder = πr²h

Where,

π = 3.14

radius (r) = ½(17) = 8.5 ft

height (h) = 11 ft

Plug in the values into the formula

V = 3.14 × 8.5² × 11

V = 3.14 × 72.25 × 11

V = 2,495.515

V = 2,495.5 ft³ (to nearest tenth)

in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean u. What is the margin of error of u

Answers

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7707

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

A window is constructed with the top half of an ellipse on top of a square. The square portion of the window has a 40 inch base. If the window is 54 inches tall at its highest​ point, find the​ height, h, of the window 10 inches from the center of the base.
Decorative image

Answers

50 inch but I’m not sure rod the width

Someone please help I have 40 mins for this test !

Answers

Answer:

It would be Linear

Step-by-step explanation:

Answer:

i think its quadratic because the graph isnt straight and has different slopes between the x,y.

Step-by-step explanation:

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

Answers

Answer:

3

Step-by-step explanation:  6  11 10  48

spent $504

hair dryers cost $8 each

6 floors with the same number of rooms on each floor.

Money spent / hair dry cost  =  number of hair dryers bought

number of hair dryers   = number of floors  =  hair dryers per floor Plus any remainder

    504 /  8  =  63 hair dryers  

    63 / 6   =    10.5     so 10 rooms per floor = 60 hairs dryers with 3 left over

Answer:

well IMA just copy the other guy and say 3

Step-by-step explanation:

just cause it is.

3x^2 - 4x + 2 = 0
how many solutions does the equation above have?

Answers

it has two solutions

Based on the cumulative frequency histogram, determine the number of swimmers who swam between 200 and 249 yards. Determine the number of swimmers who swam between 150 and 199 yards. Determine the number of swimmers who took the swim test.

Answers

Answer:

[tex](a)\ 200 \to 249 =3[/tex]

[tex](b)\ 150 \to 199 = 0[/tex]

[tex](c)\ Total = 20[/tex]

Step-by-step explanation:

Given

See attachment for cumulative frequency histogram

Solving (a): Swimmers between 200yd and 249yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

[tex]0 \to 249 = 15[/tex]

and

[tex]0 \to 199 = 12[/tex]

So:

[tex]200 \to 249 = 0 \to 249 - 0 \to 199[/tex]

This gives:

[tex]200 \to 249 = 15-12[/tex]

[tex]200 \to 249 =3[/tex]

Solving (b): Swimmers between 150yd and 199yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

[tex]0 \to 149 = 12[/tex]

and

[tex]0 \to 199 = 12[/tex]

So:

[tex]150 \to 199 = 0 \to 199 - 0 \to 149[/tex]

This gives:

[tex]150 \to 199 = 12-12[/tex]

[tex]150 \to 199 = 0[/tex]

Solving (c): Total swimmers

To do this, we simply read the longest bar of the histogram

[tex]Longest = 20[/tex]

Hence:

[tex]Total = 20[/tex]

In how many ways can a designer chose from 3 summer dresses,2 purses, a hat, 3 scarfs, 2 belts if she chooses one of each?

Answers

Answer:

I'm pretty sure it's 32

Step-by-step explanation:

hope this helpsb

In △CDE, DE=14, CE=9, and m∠E=71∘. What is the length of CD⎯⎯⎯⎯⎯⎯? Enter your answer, rounded to the nearest hundredth, in the box.

Answers

Answer:

13.96units

Step-by-step explanation:

To get the length of CD, we will use the cosine rule as shown:

CD² = DE²+CE²-2(DE)(CE)cos m<E

Substitute the given values

CD² = 14²+9²-2(14)(9)cos71

CD² = 196 + 81 - 252cos71

CD² =277 - 252cos71

CD² = 277 - 82.0431

CD² = 194.95682

CD = √194.95682

CD = 13.96 units

Hence the length of CD of 13.96units

What is the volume of the solid figure?


Answers

152 cubic ft

Answer:

Volume of solid figure=Volume of

upper cuboid+volume of lower cuboid

=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft

152 cubic ft

Answer:

Volume of solid figure=Volume of

upper cuboid+volume of lower cuboid

=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft

Which expression is equivalent to 4-(-7)

Answers

Answer:

4-(-7)=11

-4-7=-11

-4+7=3

-7-4=-11

so neither 3 choices work

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 4+7
Explanation: 4 - (-7) means 4 - -7. So connect the two subtraction signs and make a plus sign. 4+7 is what you’ll get.

SOMEONE HELP ME PLEASE

Answers

Answer:

The missing value is 5/2

Step-by-step explanation:

help me fast plsssdsssssss​

Answers

rs. 74 aka maple kalamazoo brown brown and brown brown sugar brown brown

Please I need help in finding the diameter

Answers

i think its 10 im not sure tho

Answer:

20

Step-by-step explanation:

diameter=√(12²+16²)=√[4²(3²+4²)]=4√(9+16)=4√25=4×5=20

The graphs below show measurements from cubes
with different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
side length and perimeter of 1 face
20
perimeter of 1 face and area of 1 face
16
Perimeter of 1 Face
surface area and volume
A
area of 1 face and surface area
side length and volume
1
2
3
4
5
6
Side Length
40
36
32

Answers

Answer:

the first one and the third one

Step-by-step explanation:

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Plz help me solve this thanks

Answers

Answer:

[tex]-2\sqrt{3}+8\sqrt{5}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{3} -\sqrt{5} +3\sqrt{9\times5} = -2\sqrt{3} -\sqrt{5} +3\sqrt{9}\times\sqrt{5} = -2\sqrt{3} -\sqrt{5} +9\sqrt{5} = -2\sqrt{3}+8\sqrt{5} \\[/tex]

Simplify:{x(6x - 1
A)
B)
2x-1
9
2x
x-
2x7.5
D

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:= 2 {x}^{2} - \frac{1}{3} x}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

[tex] \frac{1}{3} x \: ( \: 6x - 1 \: )\\[/tex]

[tex] = \frac{x \: ( \: 6x - 1 \: )}{3}\\[/tex]

[tex] = \frac{6 {x}^{2} - x}{3} \\[/tex]

[tex] = \frac{6 {x}^{2} }{3} - \frac{x}{3}\\ [/tex]

[tex] = 2 {x}^{2} - \frac{1}{3} x\\[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Help with this Geometry question please

Answers

Answer:

Angle A = [tex]77^{o}[/tex]

Step-by-step explanation:

cos A = adjacent / hypotenuse

cos A = 18/82

cos A = 0.22

A = [tex]cos ^{-1}[/tex]0.22

A = [tex]77^{o}[/tex]

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