In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x
terms.
7x+ 3y = 5
2x+5v=-11
What are the resulting equations?

Answers

Answer 1

Answer:

14x + 6y = 10

14x + 35y = -77

Step-by-step explanation:

Multiply the top one by 2

14x + 6y = 10

Multiply the bottom one by 7

14x + 35y = -77

His next step is to subtract. You could have done this by multiplying the top one by -2

-14x - 6y = - 10

14x + 35y = -77     Now all you need do is add.  The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.

Answer 2

Answer:

A) 14x + 6y = 10

-14x - 35y = 77

Step-by-step explanation:

multiple the first equation by 2 and the second equation by -7

2( 7x + 3y = 5)

-7( 2x + 5y = -11)


14x + 6y = 10

-14x - 35y = 77


Related Questions

Negative 8 times 2/3

Answers

Answer:

[tex]-\frac{16}{3}[/tex]

Step-by-step explanation:

This is simple multiplication. To make this easier to solve, let's modify the fraction so it looks like this:

[tex]-8*2*\frac{1}{3}[/tex]

You could also change it to this:

[tex]\frac{-8}{1}*\frac{2}{3}[/tex]

Do these look simpler? Hopefully they do!

Now, let's multiply the numerators. When multiplying fractions, we multiply numerators and denominators separately. Here, that means we could, taking both paths, do this:

[tex]\frac{1}{3}(-8*2)[/tex]

[tex]=\frac{1}{3} (-16)[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

Or we can do this:

[tex]\frac{-8}{1} *\frac{2}{3}[/tex]

[tex]=\frac{-8*2}{1*3}[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

But what if the denominator of one fraction has a common factor with the other number or the other fraction's numerator? We would find the common factor, and cancel it out to simplify. We could do this before multiplying, during the multiplication, or after multiplying.

In the case of a number times a fraction, it could also be seen as division, as fractions are essentially that: one number divided by another, except we aren't using the decimal.

I hope this helps you understand, so you don't need to ask this again! It's about 8:00 AM where I am as I'm writing this answer, so good morning and have a wonderful day!

The equivalent value of the fraction is A = -16/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2/3

And , when the value of q = -8

On simplifying the equation , we get

A = ( 2/3 ) / ( -8 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/3 ) / ( -8 )

A = ( 2/3 ) / ( -8 )

A = ( -8 x 2 ) / ( 3 )

On simplifying , we get

Multiply by -8 on the fraction , we get

A = ( -8 x 2 ) / 3

A = -16/3

Therefore , the value of A = -16/3

Hence , the fraction is A = -16/3

To learn more about fractions click :

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PLS HELP. In the triangle ABC, BP is the medium from the vertex B. If AC= 25 units and CR= 4.5 units, find PR. PLS HELP

Answers

9514 1404 393

Answer:

  PR = 8

Step-by-step explanation:

The median bisects the side opposite the vertex, so ...

  P is the midpoint of AC

Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:

  PR + RC + PC

  PR + 4.5 = 12.5 . . . . . fill in the known values

  PR = 8 . . . . . . . . . . . . .subtract 4.5

0.25 (771-20q) simplified expression

Answers

Answer:

191.5

Step-by-step explanation:

Answer:

191.5

Step-by-step explanation:

Solve: 3c-c when c=9

Answers

Answer:

18

Step-by-step explanation:

give brainlyest???????

Answer:

18

Step-by-step explanation:

3*9-9

3*9=27

27-9=18

Hope this helpsss :)

Which pair of numbers has a sum of 100?

( A) 39,61

(B) 49,61

(C) 59, 51

(D) 39,51

Answers

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

i really need help ASAP, its due on midnight

Answers

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

A farmer has one square mile of land. If he divides his land into square fields that are 1/2 mile long and 1/2
[tex] \frac{1}{2} \times \frac{1}{2} [/tex]
wide, how many fields will he have?​

Answers

Answer:

1/4

Step-by-step explanation:

U estimate that there are 40 marbles in a jar the actual amount is 48 marbles find the percent error round to the nearest 10th of a percent

Answers

Answer: 10.7%

Step-by-step explanation:

The percentage error will be calculated as:

Estimated value - Actual value / Actual value × 100

= (40 - 48) / 48 × 100

= 8/48 × 100

= 1/6 × 100

= 10.7%

Tan(x) *cos(x)*cos(x)= ( the answer should have sin only ) ASAP

Answers

This doesn't make any sense because you didn't give a value to cos like you did to sin.

Let me guess the actual question is tan(x)*cos(x) write this in term of sin.

Now from trigonometry identities, we know that tan(x)=sin(x)/cos(x)

So the expression can be written as sin(x)/cos(x)*cos(x)

which results in sin(x) as the answer, if I guessed the question wrong, sorry and please tell me in the comments what the correct question is, because this question doesn't seem complete :)

Please help it is due today

Answers

i think answer is 8in2

please talk me my answer is correct or not

Answer:

8 inches squared

Step-by-step explanation:

4 3/4 of a cube + 4 1/4 of a cube + 4 whole cubes

4 + 4 = 8

4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16

Answers

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

If x= 1/3 is one of the solutions of an equation then what is the factor that gave us this solution

Answers

Answer:

3x - 1 = 0

Step-by-step explanation:

If x = 1/3

multiply both sides by 3

3 * x = 1/3 * 3

3x = 1

Subtract 1 from both sides ;

3x - 1 = 1 - 1

3x - 1 = 0 ( the factor which gives the solution)

3x - 1 = 0

3x = 1

Doavide both sides by 3

3x / 3 = 1/3

x = 1/ 3

Is one-half of a square smaller than one-quarter of the same square? How do you know?

Answers

Answer:

No

Step-by-step explanation:

one-half is bigger than one-quarter of the same square

Sarah’s parents purchased a refrigerator for $320. If sales tax is 7% of the cost, how much tax did Sarah’s parents pay for the refrigerator

Answers

Answer:

22.4

Step-by-step explanation:

7% of the cost is 22.4

Answer:

$22.40

Step-by-step explanation:

Let's convert the 7% sales tax into a decimal, which should be 0.07Multiply the sales tax (as a decimal) by the cost of the refrigerator ($320). You should get $22.40

Edit: Read something wrong, I fixed it, sorry.

can someone help me with this please?!
the choose options for both are: less than, equal to or greater than

Answers

Answer:

The rate of function 1 is greater than function 2, the y intercept of function 1 is 3

Step-by-step explanation:

A program was created to randomly choose customers at a shoe store to receive a discount. The program claims 15% of the receipts will get a discount in the long run. The manager of the shoe store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 12% received the discount. The confidence interval is 0.12 ± 0.05 with all conditions for inference met.


Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain.


Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.15 probability? Explain.


Part C: Another random sample of receipts is taken. This sample is six times the size of the original. Twelve percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval?


Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain.

Answers

Answer:

A: There is no statistical evidence that the program is not working as intended because 0.15 is between the range of 0.12 ± 0.05 = (0.07,0.17)

B: 0.15 is between the range of (0.07,0.17) so it is statistically probable.

C: margin of error=0.05/((6)^(1/2))=0.0204

D: No the program is not working as planned because 0.15 is not within the range of 0.12±0.0204=(0.0996,0.1404)

Step-by-step explanation:

Within the answer. please tell me if I am wrong

1. Determine which of the following ordered pairs
are solutions to each of the given systems of
inequalities.
[(5,3). (-2, 1), (1.2). (2. -3), (3, 5), (-2,3), (2, 0)]

a. y<-x+3
y>x-2

Answers

For inequality y < -x + 3,
(1,2) satisfy this inequality equation.

For inequality y > x - 2,
(5,3) , (2,0) satisfy this inequality equation.

please help! how do you do this question?

Answers

9514 1404 393

Answer:

  (0.75, -1)

Step-by-step explanation:

The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.

  C = (A +B)/2

  C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B

  C = (-1+2.5, 1-3)/2 . . . . . . .  add the coordinates

  C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2

  C = (0.75, -1) . . . . . . the center of the circle

Select all of the following that are true. *
sinA=18/30
sinA=3/5
cosA=10/6
cosA=8/10
cosA=5/3
tanF=24/18
tanF=3/4
tanD=3/4
sinD=18/30

Answers

Answer:

Step-by-step explanation:

sin A = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

cos A = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]

tan F = [tex]\frac{DE}{FE}[/tex] = [tex]\frac{24}{18}[/tex] = [tex]\frac{4}{3}[/tex]

tan D = [tex]\frac{FE}{DE}[/tex] = [tex]\frac{18}{24}[/tex] = [tex]\frac{3}{4}[/tex]

sin D = [tex]\frac{FE}{FD}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

please help, I really don't get this​

Answers

Answer:

-8, -8

Step-by-step explanation:

If you add the equations, you get -7x + 4x + 4y - 4y = 24. Canceling out the 4y and the -4y, and adding 4x to -7x, you get -3x = 24. Divide both sides by -3 and you get x = -8. Next, pick an equation and substitute x for -8. I am going to use the first equation. (-7)-8 + 4y = 24 is equal to 56 + 4y = 24. Subtract 56 from both sides to get 4y is equal to -32, and if you divide both sides by 4, you get y = -8.

9514 1404 393

Answer:

  (-8, -8)

Step-by-step explanation:

We notice that the coefficients of y are +4 and -4, so have a sum of zero. This means we can add the two equations to eliminate the y-terms.

  (-7x +4y) +(4x -4y) = (24) +(0)

  -3x = 24 . . . . . . . . . simplify

  x = -8 . . . . . . . . . . . divide both sides by -3

Now, we can find y using either equation.

  4(-8) -4y = 0

  -8 -y = 0 . . . . . . . . divide both sides by 4

  -8 = y . . . . . . . . . . add y to both sides

The solution to the system of equations is ...

  (x, y) = (-8, -8)

The length of a driveway is 18 yards what is it in feet?​

Answers

Answer:

Step-by-step explanation:

18yd(3ft/yd)=54ft

Answer:

Hello! :) have a good day!

54 feet

‘Basic exponent rules’ simplifying to a single power .

Answers

Answer:

64

Step-by-step explanation:

I need an explanation for the problem 4v2=-12v-9. I don't understand why it factors into 4v+3 and 4v+3

Answers

Answer:

The factors are [tex]2v+3,2v+3[/tex].

The factors are not [tex]4v+3,4v+3[/tex]

Step-by-step explanation:

Equation is [tex]4v^2=-12v-9[/tex].

This equation can be written as follows:

[tex]4v^2+12v+9=0[/tex]

Here,

[tex]12v=6v+6v[/tex]

Therefore,

[tex]4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0[/tex]

So, the factors are [tex]2v+3,2v+3[/tex].

The factors are not [tex]4v+3,4v+3[/tex]

please help me with this problem

Answers

Answer:

vitamin c is the independent variable

Step-by-step explanation:

the amount of vitaman c dose not change but the amount of oranges eaten can change

Jean needs 2 gallons of olive oil to make a recipe. If the olive oil 8:00 a quart how much money will she need to buy the olive oil

Answers

Answer:

$64

Step-by-step explanation:

Given that :

Required amount of olive oil = 2 gallons

Cost per quartz = $8

Recall:

1 quartz = 0.25 gallons

Amount of quartz in 2 gallons :

2 / 0.25 = 8 quartz

Cost of olive oil needed :

8 quartz * $8

= $64

Whoever get this right, gets a free hamster

Answers

Answer:

it's C

Step-by-step explanation:

pink or purple hamster plz :D

omg paint strips, that's the way to go

HELP HELP HELP We can think of 8 ÷ 2 as the answer to the question “How many groups of 2 are in 8?” What is the answer to the question? *

Answers

The question is how many groups of 2 is in 8.
-2 goes into 8, four times
-8 divided by 2 is 4

The answer is four.

state true or false :every natural number is a whole number

Answers

Answer:

true , because natural number is starte on no.1 to infinity but whole no. is started on 0 to infinity so it is true .

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

please help me on this will give you brainliest

Answers

Answer:

1.41 x 10 to the 7th power

Step-by-step explanation:

3 x 10 to the fifth is 300000

300000 x 47 = 14100000 in 47 seconds

14100000 = 1.41 x 10 to the 7th power

Hope that helps!

Answer:

1.41*10^7 or 14,100,000

Step-by-step explanation:

3*10^5*47=1.41*10^7

You bought 3/4 pound of fudge for 6.75. Write and solve an equation to find the cost of the fudge per pound.

Answers

Given:

You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.

To find:

The equation and solve the equation to find the cost of the fudge per pound.

Solution:

Let x be the cost of the fudge per pound.

You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.

[tex]\dfrac{3}{4}x=6.75[/tex]

[tex]3x=6.75\times 4[/tex]

[tex]3x=27[/tex]

Divide both sides by 3.

[tex]x=\dfrac{27}{3}[/tex]

[tex]x=9[/tex]

Therefore, the required equation is [tex]\dfrac{3}{4}x=6.75[/tex] and the cost of the fudge is 9 per pound.

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