Which ordered pair is the solution to the system of linear equations -5x + Y = 26 and 2x-7y = 16 ?

Answers

Answer 1

Answer:

(-6, -4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5x + y = 26

2x - 7y = 16

Step 2: Rewrite Systems

-5x + y = 26

Add 5x on both sides:                     y = 5x + 26

Step 3: Redefine Systems

y = 5x + 26

2x - 7y = 16

Step 4: Solve for x

Substitution

Substitute in y:                         2x - 7(5x + 26) = 16Distribute -7:                             2x - 35x - 182 = 16Combine like terms:                -33x - 182 = 16Isolate x term:                          -33x = 198Isolate x:                                   x = -6

Step 5: Solve for y

Define equation:                    2x - 7y = 16Substitute in x:                       2(-6) - 7y = 16Multiply:                                  -12 - 7y = 16Isolate y term:                        -7y = 28Isolate y:                                 y = -4

Related Questions

Can somebody plz help and explain this

Answers

Answer:

C is the answer

Step-by-step explanation:

Please mark brainliest

The correct answer is C

The coach carried footballs to practice 8 times this year. Each time, he brought:
17 footballs
13 footballs
28 footballs
29 footballs
13 footballs
31 footballs
21 footballs
13 footballs

What was the median number of footballs?
(to find the median put the numbers from least to greatest the find the middle number)
im asking because i always get it wrong ;-; thanks!

Answers

Answer:

19

Step-by-step explanation:

Median is the middle number when they are lined up from smallest to largest

13,13,13,17,21,28,29,31,

There are 8 numbers

13,13,13,17,      |      21,28,29,31,

The middle is here

Add up the two numbers on either side and divide by 2

(17+21) /2

19

Answer:

19 footballs

Step-by-step explanation:

First sort the data

13 13 13 17 21 28 29 31

Median is: (17+21)/2

38/2 = 19

Casey surveyed the members of his soccer team to ask them what their favorite sport is

Answers

Answer:

yes, that is very correct

Step-by-step explanation:

yes

Luna observed that in the last 12 issues of rise over run weekly 384 of the 960 pages contained an advertisement if there are 80 pages in this weeks edition how many pages can she predict will have advertisement

Answers

Answer:32

Step-by-step explanation:just divided both sides by 12 that will be 348:960=32:80

Answer:32

Step-by-step explanation:

Quadrilateral BEAR is inscribed in circle o,
What is the measure of R?

Answers

If Quadrilateral BEAR is inscribed in circle o,then the measure of R is 106 degrees.

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

The sum of angles of a quadrilateral is 360 degrees.

Angle E is 74 degrees.

Angle A is 92 degrees.

We need to find the angle R.

The angle at B is 90 degrees as it makes right angled.

∠E+∠A+∠R+∠B=360

74+92+∠R+90=360

256+∠R=360

Subtract 256 on both the sides

∠R=360-256

∠R=106 degrees.

Hence, the measure of R is 106 degrees.

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PLEASE HELPPPPPPP!!!!!!


You buy a new video game for $60.
The sales tax is 8%.
What is the total cost for the game including sales tax?
Choices:
$4.80
$64.80
$68
$125.80

Answers

Answer:

$64.80

Step-by-step explanation:

First, calculate the sales tax

Convert 8% into a decimal

8/100=0.08

Multiply the decimal by the cost of the game

60*0.08=4.8

$4.80 is just the tax, we have to find the total cost

Add the tax and the cost of the game

60+4.80=64.80

So, the total cost is $64.80

Hope this helps! :)

$64.80 because you multiply $60 by .08 which you get 4.80 which you then would add to the $60 which would be $64.80

Is 100,60,50 a right triangle

Answers

Answer:

I dont think so because a right triangle should have a 90 degree

Geometry. What is the measure of segment x rounded to the nearest hundredths place? Check picture below also.

Answers

Answer:

D. 21 ft

Step-by-step explanation:

We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.

Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:

ab = cd

x * 6 = 7 * 18

6x = 126

x = 21

Thus, x is 21 ft.

Hope this helps!

Answer:

Last one: 21 ft

Step-by-step explanation:

x × 6 = 7 × 18

x = (7 × 18)/6

x = 21 ft

A certain company gives its salespeople a bonus every six months. This bonus is calculated by averaging (taking the mean of) the four middle monthly sales values (that is, ignoring the highest and lowest) from the six-month window, taking 12% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period. A bar graph titled Total Sales has month on the x-axis and sales (dollars times 1,000) on the y-axis. January, 21.6; February, 18.9; March, 29.2; April, 18.4; May, 17.1; June, 26.1. If there are five salespeople, how much money will each one receive, to the nearest dollar? a. $556 b. $525 c. $510 d. $486

Answers

Answer:

The answer is C. $510.

I have just took the test.

Option C is correct, Each person receives an amount of $510.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To calculate the bonus, we need to find the four middle monthly sales values.

Arranging the sales values in ascending order, we get:

17.1, 18.4, 18.9, 21.6, 26.1, 29.2

The four middle values are: 18.4, 18.9, 21.6, and 26.1.

Average= (18.4 + 18.9 + 21.6 + 26.1) / 4 = 21.25

Taking 12% of this value gives:

0.12 x 21.25 = 2.55

The bonus amount to be split among the five salespeople is $2.55. Therefore, each salesperson will receive:

2.55 / 5 = 0.51

Therefore, each salesperson will receive $1 as a bonus.

Hence, Option C is correct, Each person receives an amount of $510.

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Help Please!!!! 22pts!!!!!
Three investors own a company. One partner owns One-fourthof the company, while the second partner owns Two-fifths of the company. How much does the third partner own?
Two-thirds
StartFraction 7 Over 20 EndFraction
StartFraction 13 Over 20 EndFraction
StartFraction 17 Over 20 EndFraction

Answers

Answer:

1.) 7/20 (A)

Step-by-step explanation:

I got 100%

Answer: A - 2/3

Step-by-step explanation:

B          I

E

C          K

A          N           ✨ ✨✨

U          O
S          W    

E          

Alexis surveys three different samples of 20 students selected randomly from the population of 492 students in the seventh grade about their choice for class president. In each sample, Elijah receives the least amount of votes. Alexis infers that Elijah will not win the election. Is her inference valid? Explain.

Answers

Answer:

i think her inference i invalid

Step-by-step explanation:

i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.

A)The number of students in the seventh grade who would be expected to prefer math to science are: 128

B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

What is sample?

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

here, we have,

A) Given that, the total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.

This means that out of the sample the number of students who prefer math to science is:

= 85 / 100 x 25

= 21.25

Now, out of the total seventh graders the number of students who prefer math to science is:

21.25 x 150 / 25 = 127.5 ≈ 128

B) From the question, we understand that:

Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.

The above selection is a random sampling technique

Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

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complete question:

Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

25

85

150

128

Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Simplify the expression completely. (5√50-3√200+3√18)

Answers

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]5\sqrt{50} - 3\sqrt{200} + 3\sqrt{18}[/tex] =

= [tex]25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2}[/tex] = [tex]4\sqrt{2}[/tex]

Anwser is 4 square root 2

I neeeeedddd helpppp pleaseeeee

Answers

what do u need help fam?

How can you find the area of a two-dimensional composite figure, or the surface area of a three-dimensional composite figure?
A.


Multiply the number of sides by the area of one side of the composite figure.
B.


Add the areas of all shapes or all faces that make up the composite figure.
C.


Multiply the length times the width times the height of the shapes that make up the composite figure.
D.


Add the measures of all angles of the composite figure.

NEED HELPP

Answers

Answer: D

Step-by-step explanation: To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure. To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.

Dividing the number of sides by the area of one of the composite figure's sides. and adding the areas of all the forms or faces that comprise the composite figure helps to find the area of a two-dimensional composite figure. Options A and B are correct.

What is surface area?

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The area of a two-dimensional composite figure or the surface area of a three-dimensional composite figure may be calculated by;

Dividing the number of sides by the area of one of the composite figure's sides. and add the areas of all the forms or faces that comprise the composite figure.

Hence, options A and B are correct.

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Mendel crossed tall pea plants with short pea plants. The offspring were all tall plants.
Which allele is recessive?
Which allele is dominant?

Answers

Answer:

short allele is recessive, tall allele is dominant

The graph shows the function f(x) = |x-hl + k. What is the
value of K?
k=-2.5
k=-1
k=1
k= 2.5​

Answers

Answer:

Step-by-step explanation:

While the h portion of that absolute value represents the side to side movement, the k represents the up and down.  The pointy part of the graph (the vertex) is lowered from its position at y = 0 to y = -2.5

So k = -2.5

The correct value of k is k = -2.5. Hence, option a is correct.

To find the value of k for the function f(x) = |x - h| + k, you can use one of the given points, as all points lie on the graph of the function.

Let's use the point (1, -2.5) with coordinates (x, y).

Plug these coordinates into the function:

-2.5 = |1 - h| + k

Now, you need to find k:

-2.5 = |1 - h| + k

To isolate k, you can solve for k:

k = -2.5 - |1 - h|

Now, let's check which option fits this equation based on the given points:

For h = 1 (as in the point (1, -2.5)), you get:

k = -2.5 - |1 - 1| = -2.5 - 0 = -2.5

So, the correct value of k is k = -2.5.

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The height of a triangular prism is 6 cm and its base is an equilateral triangle with an area of 25 sq cm. Find the volume of the prism.

Answers

Answer:

150cm³

Step-by-step explanation:

volume =1/2b×bh×h

volume=25×6

=150

hope this helps

please like and Mark as brainliest

Final answer:

The volume of the triangular prism is found by multiplying the area of the base (25 sq cm) by the height (6 cm), which results in a volume of 150 cubic centimeters.

Explanation:

The question asks for the calculation of the volume of a triangular prism. The formula to find the volume (V) of a triangular prism is V = base area × height. The base area of the prism is given as 25 sq cm, and the height is 6 cm. Therefore, the volume of the triangular prism is calculated as follows:

V = base area × height

V = 25 cm² × 6 cm

V = 150 cm³

Thus, the volume of the triangular prism is 150 cubic centimeters.

Write all expressions that are equivalent to 8x + 16.

Answers

Answer:

There are an infinite number of expressions equivalent ot 8x+16, but a few are:

2(4x+8)

4(2x+4)

8(x+2)

Answer:

2(4x+8)

4(2x+4)

8(x+2)

Step-by-step explanation:



I. There is a gap in the Potato Chips group
II. There is a gap in the Tortilla Chips group
III. The range is greater for the Potato Chips group
Which of the statements are true?

A) I only
B) II only
C) I and II
D) III only

Answers

Answer:

C) I and II

There is a gap in the Potato Chips group for the stem "14" and the Tortilla Chips group for the stem "12"

Answer:

its c

Step-by-step explanation:

i got it right on usatestprep

The sum of two numbers is 41. The smaller number is 17 less than the larger number. What are the numbers?

Answers

29 and 12! 29 + 12 comes out to 41 and 29 - 12 comes out to 17. I hope this helps!!

Based on the data represented in the box plots, which football player had greater success during the 10 games?


Nasir was more successful because he had the greatest number of yards in one game.

Aaron was more successful because he had the greater total spread.

Nasir was more successful because he had the greater measure of center.

Aaron was more successful because he had an outlier.

Answer is C.

Answers

The answer is ccccccccccc

Based on the data represented in the box plots, the football player that had greater success during the 10 games is C. Nasir was more successful because he had the greater measure of center.

What is a box plot?

It should be noted that a box plot simply means a method for graphically demonstrating the spread of a data.

In this case, based on the data represented in the box plots, the football player that had greater success during the 10 games is that Nasir was more successful because he had the greater measure of center.

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find the sum of 997 + 992 + 987 +...+ 257 +252

Answers

Answer:

  93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

  an = a1 +d(n -1)

  (an -an)/d +1 = n

  (252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

  S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

Can somebody help me please

Answers

Answer:

5mm + 14mm+3mm add together area 22 for the triange

Step-by-step explanation:

An area of 22 for the triangle if you add all the sides together

Make x the subject of the formula.

y = ax2 +b​

Answers

Answer:

x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]

Step-by-step explanation:

Given

y = ax² + b ( subtract b from both sides )

y - b = ax² ( divide both sides by a )

[tex]\frac{y-b}{a}[/tex] = x² ( take the square root of both sides ), thus

x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]

(0,-1) and (-2,0)

What is the slope of the graph?

What is the y-intercept of the graph?

Answers

Answer:

slope -1/2  

y intercept -1

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    =(0--1)/(-2-0)

     = (0+1) /(-2-0)

     =1/-2

  = -1/2

The y intercept is when x = 0

(0,-1) is when x =0 so the y intercept is -1

Answer:

-½; -1

Step-by-step explanation:

(0 - -1)/(-2 - 0)

1/-2

= -½

y intercept is where x = 0,

So it is -1

Factor completely 5x2 − 40

Answers

Answer:

-30

Step-by-step explanation:

I am assuming that x here is a multiplication sign. If so than the simplification is easy:

First, 5 x 2 is 10Next, 10 - 40 = -30

Which ratio is equal to 2/3

Answers

Answer:

2/3 = 8/12

Step-by-step explanation:

Answer:

6/9

Step-by-step explanation:

the answer is 6/9 :)

Which pair of angles must be supplementary?

Which pair of angles must be supplementary?

2 lines intersect to form right angles. Another line goes through the lines diagonally to form 6 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
Angle 1 and Angle 6
Angle 2 and Angle 5
Angle 5 and Angle 4
Angle 6 and Angle 2

Answers

Answer:

I think 2 and 5

Step-by-step explanation:

The  pair of angles must be supplementary are ∠2 and ∠5.

The correct option is (B)

What is supplementary angle?

Two angles are called supplementary when their measures add up to 180 degrees.

Given that:

∠2=90 and ∠5=90

So,

∠2+∠5

=90+90

=180

Hence, angle 2 and 5 makes supplementary angles.

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If you had $500 to put into a savings account with 8% interest , how would you know which bank to choose, if you plan to withdraw everything after 10 years—one that pays simple interest or compound interest? Explain.

Answers

Answer:

Compound interest because you earn more over time

Step-by-step explanation:

Fill in the blank with the correct response.

Fifty-four out of 72 is
a0%.

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

Your answer would be 75%, or 3/4

Step-by-step explanation:

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