What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points)

Answers

Answer 1

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated


Related Questions

Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D

Answers

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend

Answers

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual ,  56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

   = 296 + ( (296 / 67 ) * 33 )

   = 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

   ≈ 1163

Total rooms booked = X + Y

                                  = 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

 =  1605 - 1465

 =  140 ( Your Hotel is over booked )

PLS HELPPPPPP ME!!! ASAP​

Answers

Answer:

2.5

Step-by-step explanation:

Let x be the number of hours both people baby sit and y be the number of hours that they each earn.

Sarah:

y = 10 + 2.5x

Carly:

y = 7.5 + 3.5x

You know that the number of hours should be the same (y).

10 + 2.5x = 7.5 + 3.5x

Evaluate and find x.

10 - 7.5 = 3.5x - 2.5x

x = 2.5

find the area of the right triangle.​

Answers

Answer:

16 units²

Step-by-step explanation:

1/2x4x8=16

g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)

Answers

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

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 estabilishes 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.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

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

By the Central Limit Theorem

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

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

Find out more at: https://brainly.com/question/15016913

What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph

Answers

Answer:

Yes it's a positive linear graph

Step-by-step explanation:

Answer:

yes dear it's a positive linear graph.

PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84

Student A Mean:

Student A Mean Absolute Deviation:

Student B Mean:

Student B Mean Absolute Deviation:

Answers

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

Its 10, because it repeats the most

Step-by-step explanation:

What is the value of p?
x=1/4y^2

Answers

Answer:

The value of p is 1

Step-by-step explanation:

we know that  

The standard form of the equation of a horizontal parabola is

(y - k)² = 4p(I - h)

where

(h,k) is the vertex

p[tex]\neq[/tex] 0

if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

In this problem we have

I = [tex]\frac{1}{4}[/tex]y²

Convert to standard form

y² 4I

The vertex is the point (0,0)

4p = 4

P = 1 -----> p > 0, the parabola opens to the right  

What does (2+4(6))/2 equal?

16
13
14
10

Answers

Answer : is 13 hope it helps you

Answer:

13

Step-by-step explanation:

You must use PEMDAS to solve this equation.

Solve everything in the parentheses first;

4(6) = 24

24 + 2 = 26

26 / 2 = 13

Final answer = 13

I am so confused right now. will give brainlest to anyone how can solve this chicken scratch lol


1. Write an equation representing this hanger

2. find the value (or "weight) of one circle (w).

3. Explain how you found the value of one circle (w)

I really have no idea what any of this is​

Answers

Answer:

1. 25÷4w

2. w=6.25

3.I divided 25 by 4 to find w

Step-by-step explanation:

Write the number shown in standard notation.
6.6 x 105
OA) 6,600
O B) 660,000
O C) 66,000
OD) 6,600,000

Answers

it is B because you have to remove the comma 5 places to the right side

What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6

Answers

Y = tan (x)
Y = 3x0.8x + 6
(0,0) (0,9)

Prove that a+b/2≥√ab

Answers

Start by squaring both sides got remove the sqrt
[(a+b)/2]^2 ≥ ab
(a^2 +2ab +b^2 )/4≥ ab
Multiply both sides by 4
a^2 +2ab +b^2 ≥ 4ab
Subtract 2ab from both sides
a^2 + b^2 ≥ 2ab
Subtract 2ab from both sides
a^2 - 2ab + b^2 ≥ 0
Use quadratic equation to solve where a = 1 and b = -2b
2b ± sqrt[(-2b)^2 - (4x1xb^2)]/(2x1)
2b ± sqrt[4b^2 - 4b^2]/2
(2b ± 0)/2
a = b
Substituting for b in the equation a^2 + b^2 ≥ 2ab
2a^2 ≥ 2a^2

Help plz need the answer asap

Answers

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

Pls someone help me with this question pls

Answers

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

slope:

11 - (-1) / 2 - (-2) = 12/4 = 3

slope intercept form is y = mx + b, so right now you have m = 3:

y = 3x + b

now, since you know x = -2 and y =-1 is a solution, you can plug those values in:

-1 = 3 * -2 + b

-1 = -6 + b

5 = b

This means the equation is y = 3x + 5

Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?

A-5
B-6
C-7
D-8
E-9

Answers

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

For each of the following coordinate
pairs, write the Quadrant where they would
be located. You do not have to use Roman
numerals.

(-3, 2) Quadrant ?
(-6, -8) Quadrant ?
(4, 10) Quadrant ?
(9,-5) Quadrant ?

Answers

4, 3, 1, 2 are the answers

You move right 3 units. You end at (5, 2). Where did you start?

Answers

Answer:

8,2

Step-by-step explanation:

ANSWER:
You started at (2,2)

EXPLANATION:
you subtract the 5 by 3 because moving to the right affects the x axis, and (x,y), so the 5 is what is being affected

What is the value of y in the equation 3(3y-12)=0

Answers

Answer:

y = 4

Step-by-step explanation:

use the distributive property

9y - 36 = 0

     +36  +36

9y = 36

divide by 9

y = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

What is the value of n

Answers

Answer: n=10
Explanation: sin(30°)=n/20 multiply 20 to sin(30°) and you get 10

6/15=3/x
HELPP PLEASE

Answers

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

giving brainliest !!!!!

Answers

answer: 92/3(π)

formula for cylinder: π • r^2 • h
formula for sphere: 4/3 • π • r^3

plug in radius value (2) into the formulas and then find sum of the two volumes.

If you don’t know I don’t answer (NO LINKS )

Answers

Uhh I might just answer this so the guy who did so much can get brainliest

Can somebody help me please

Answers

Step-by-step explanation:

First, find complete data.

That would be 2, 12 and 5, 30

Divide the output by the input to get the relationship/constant.

12/2 = 6     30/5 = 6

So...

1 x 6 = 6

and

48 / 6 = 8

9514 1404 393

Answer:

  (b)  Output 6, Input 8

Step-by-step explanation:

One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier

  output/input = 12/2 = 30/5 = 66/11 = 6

Then for input 1, output is 1×6 = 6.

For unknown input, we have ...

  input × 6 = 48

  input = 48/6 = 8

__

The two blanks are ...

 input: 8; output 6

Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation

Answers

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

The triangles PRQ and MRN are not similar.

Similar triangles:

Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:

∠R = ∠R

∠Q = ∠N

∠P = ∠M

The following proportion rule must apply below:

PR / MR = RQ / RN = PQ / MN

18 / 10 = 21 / 7

9 : 5 ≠ 3 : 1

Therefore, the triangles are not similar

learn more on similar triangles here: https://brainly.com/question/10810713

Explain why the denominator 8 in 8/4 is not changed when adding the fractions.

Answers

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:

If Matrix A is 4 x 4, and Matrix B is 4 x 3, what is the size of matrix AB? If AB is undefined, please state so.

Answers

I believe ab equals to 28!

-2 x -4 x -1 - -2 x -4

Answers

Answer:

-16

Step-by-step explanation:

(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy

Multiply first parenthesis:

= -8

Multiply second parenthesis:

= 8

Combine (subtract):

-8 - 8 = -16

Answer:

-32

Step-by-step explanation:

your required answer is

-2 × -4 × 1 × -4 = -32

Other Questions
Berends corporation makes a product with the following standard costs: standard quantity or hours standard price or rate direct materials 9.2 pounds $3.00 per pound direct labor 0.3 hours $17.00 per hour variable overhead 0.3 hours $3.00 per hour the company reported the following results concerning this product in april. actual output 8,800 units raw materials used in production 78,150 pounds purchases of raw materials 85,900 pounds actual direct labor-hours 2,560 hours actual cost of raw materials purchases $240,520 actual direct labor cost $39,424 actual variable overhead cost $6,912 the company applies variable overhead on the basis of direct labor-hours. the direct materials purchases variance is computed when the materials are purchased. 1. The variable overhead efficiency variance for april is:______.A. $240 F B. $216 U C. $216 F D. $240 U2. The materials quantity variance for April is:____. A. $8,430 U B. $8,430 F C. $7,868 U D. $7,868 F3. The materials price variance for April is:_______. A. $17,180 U B. $16,192 F C. $16,192 U D. $17,180 F4. The labor efficiency variance for April is:_______. A. $1,232 F B. $1,360 F C. $1,360 U D. $1,232 U5. The labor rate variance for April is:_______. A. $4,224 F B. $4,224 U C. $4,096 U D. $4,096 FThe variable overhead rate variance for April is:_______. A. $792 F B. $792 U C. $768 F D. $768 U simplify polynomials 11x+3x-10+2x-3x+9 Here is a rectangle.Explain why the area of the large rectangle is 2a+3a+4a Type the correct answer in the box. Spell the word correctly.What is the following condition called?In some diseases, parts of the body do not receive an adequate volume of oxygen.This leads to the condition called . Before you read pages 3269, predict what will happen next for H and her family . Now that you have finished reading pages 3269, confirm or modifyyour prediction using evidence from the text. Jim needs to rent a car. A rental company charges $21 per day to rent a car plus $0.80 per mile driven. How many miles can he drive in a day if he wants to spent AT MOST $82. Write an inequality. Show work Or explain how to solve it and then give a solution as an inequality. Priya rewrites the expression 8y24 as 8(y3). Han rewrites 8y24 as 2(4y12). Are Priya's and Han's expressions each equivalent to 8y24? Explain your reasoning Help plzzzz for points 30 points Pool is to swim, as bed is to sleep.What figurative language is this Which is the following is an example of liquid surface water?A zone of saturationB) aquiferC) lake Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex] What do you like about Georgia O'keeffe work? 494 L= ___________mL How can you use transformations to solve problems?Choose all that are correctYou can use translations to describe a change in the shape of a figure.BYou can use reflections to describe a change in the size of a figure.C.You can use rotations to describe a change in the position of a figure. Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply A super is having a sale on tomatoes, 4 tomatoes for $.98. How much would it cost to buy 10 tomatoes The Johnson family went out to lunch. The meal cost $46.72. . The sales tax was 8% of the cost of the meal. The tip was 15% of the meal and sales tax. There are 4 people in the Johnson family.How much did the meal cost per person, including sales tak and tip?A. $14.00B. $14.50C. $14.95D. $15.25 Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a) what is an epicenter of an earthquake Which of the following statements BEST describes the tone of "The Pasture"?A It is like a teacher talking to other teachers.B It is like a man considering his life.C It is like a boy writing a list of chores.D It is like a father talking to his son.