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?
3x - y = 15
x + y = 7
x + 3y = 24
- x - 3y = 16
4x + 2y = 14
x + y = 3
2x+2y = 8
- 2x - 2y=8

Answers

Answer 1

Answer:

  (c)  4x + 2y = 14; x + y = 3

Step-by-step explanation:

The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...

a

Add the two equations: (3x -y) +(x +y) = (15) +(7)  ⇒  4x = 22

b

Add the two equations: (x +3y) +(-x -3y) = (24) +(16)  ⇒  0 = 40

c

Subtract twice the second from the first.

  (4x +2y) -2(x +y) = (14) -2(3)  ⇒  2x = 8 . . . . the system we're looking for

d

Add the two equations: (2x +2y) +(-2x -2y) = (8) +(8)  ⇒  0 = 16

_____

Additional comment

When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)


Related Questions

Question 1 of 10
What's the probability of getting an even number and a head when rolling a die and then tossing a coin?
A.1/4
B.1/2
C.1/3
D.1/5

Answers

Answer:  1/4

Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers

Plot 2 3/8 and 1 3/4 on the number line below

Answers

Answer:

There is a picture below of the number line with the numbers, plotted.

Step-by-step explanation:

For the 2 3/8, you would simply go to 2 and count 3 to the right becuase there are 8 points for each whole number to the next. It's pretty hard to explain sorry. For 1 3/4, you would make the denominator 8, so multiply it by 2. When we do this, we multiply both the numerator and denominator. What is done to one must be done to the other. 3*2 to get 6. 4*2 to get 8. So, 3/4 becomes 6/8. Now, we can go to 1, and count 6 points to the right to get to 1 3/4.

How many 10 inch pieces of bar can be cut from a bar that measures 120 inches?
Please explain !!​

Answers

Answer:

12 ten inch pieces

Step-by-step explanation:

you do 120 divided by 10 to get an answer of 12

hope this helped =)


Determine the volume of the cylinder. Use 3.14 for T.
2 in.
SOUP
6.5 in.
cubic inches

Answers

Step-by-step explanation:

Given :-

Radius = 2 inchHeight = 6.5 inch

To find :-

Volume of Cylinder

Solution :-

Volume of Cylinder = πr²h

putting the known values ,

3.14 × 2² × 6.5 cubic inches

Volume = 81.64 cubic inches

Answer:

81.64

Step-by-step explanation:

Volume

πr²h

Given

r = 2 inchesh = 6.5 inches

Solving

V = 3.14 x (2)² x 6.5V = 3.14 x 4 x 6.5V = 3.14 x 26V = 81.64 cubic inches

Consider the geometric series: 1000, 500, 250, 125,.
Question: A. Does this sequence converge or diverge?
B. What is the sum of the first 10 terms of the series?
C. What is the sum of the first 30 terms of the series?
D. What do these two sums tell you about the series as it continues? ​

Answers

Answer:

a diverge

b512000

c1000(2^30-1)

d

Step-by-step explanation:

t10=ar^9

=1000*2^9

s30=a(r^n-1)/r-1

=1000(2^30-1)/2-1

The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.

What is divergent or convergent series?

A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.

In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.

Formula for sum of geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

Thus;

S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)

S₁₀ = 1998.05

Sum of first 30 terms is;

S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)

S₃₀ = 2000

Read more about convergent and divergent series at; https://brainly.com/question/15415793

#SPJ2

A group of seven kids line up in a random order. Each ordering of the kids is equally likely. There are three girls and four boys in the group. What is the probability that all the girls are ahead of all the boys

Answers

Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

What is the arrangements formula?

The number of possible arrangements of n elements is the factorial of n, that is:

[tex]A_n = n![/tex].

The total number of outcomes is the arrangement of 7 elements, hence:

T = 7! = 5040.

The desired number of outcomes is all girls(3!), then all boys(4!), hence:

D = 3! x 4! = 6 x 24 = 144.

Hence, the probability is:

p = D/T = 144/5040 = 0.0286.

There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

13) Which expression is equivalent to 2(5 – 3x)?
-
A) 10 - 5x
B) 10 - 6x
-
07 - 5x
D) 7 6x

Answers

Answer:

B

Step-by-step explanation:

you need to distribute the 2

this leads to (2*5)- (2*3x)

=10-6x !

Some1 help

Find the volume

9
7
8

Answers

Volume = 1÷3 area of base × height

Answer:

168 in³

Step-by-step explanation:

Volume of a rectangular pyramid

[tex]V=\dfrac13lwh[/tex]

where:

l is the base lengthw is the base widthh is the pyramid height

Given:

l = 8"w = 7"h = 9"

[tex]\implies \textsf{volume}=\dfrac13\cdot 8 \cdot 7 \cdot 9=168\: \sf in^3[/tex]

Find the slope of the line passing through (-4, 4) and (-4, 8)

Answers

Answer:

[tex]\Longrightarrow: \text{The slope is 0.}[/tex]

Step-by-step explanation:

The slope formula is used to determine the slope of the line.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]

y2=8

y1=4

x2=(-4)

x1=(-4)

Rewrite the problem down.

[tex]\sf{\dfrac{8-4}{-4-(-4)}=\dfrac{4}{0}=\boxed{\sf{0} }[/tex]

Therefore, the slope is 0, which is our answer.

I hope this helps! Let me know if you have any questions.

Undefined

[tex]\sf \bold{ slope \ formula : \ \dfrac{y_2-y_1}{x_2-x_1} }[/tex]

insert the following coordinates

[tex]\hookrightarrow \sf \dfrac{8-4}{-4-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{-4+4}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{0}[/tex]

Hence, following the rule [ (a/0) is undefined ]      The slope is undefined.

A box contains 20 crayons. There are 7 red crayons, 5 yellow crayons, and the rest

are blue crayons. Suppose an experiment involves a person removing 3 crayons from the box.

What is the probability that the person first removes a blue crayon, then a red crayon, and finally a

yellow crayon, with replacement? State your answer as the exact percentage found.

SHOW ALL WORK!

Answers

Answer: Individual probability stated below. As a single event 8/20×7/20×5/20

=280/8000= 3.5%

Step-by-step explanation: Balls picked with replacement is independent event.

P(red) =7/20 =35%

p(blue)= 8/20=40%

P(yellow) 5/20=25%

You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the
given dimensions.
7 ft x 6 ft
It will take you --- minutes to paint the wall.

Answers

Answer:

25.2minute

Step-by-step explanation:

75ft^2=45 minutes

1 ft^2=45/75

and, 7ft*6ft=42ft^2

42ft^2=45*42/75

=25.2minutes

Hope you like the solution. I am not sure of the answer. Mark me as brainlist.

An inground swimming pool contains 2.3 times 10 superscript 4 units of water. which unit of measure was used? teaspoons cubic centimeters fluid ounces gallons

Answers

The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

What is the Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Learn more about Units conversion:

brainly.com/question/4736731

I already know what a and b are i just need help on c

Answers

Answer:

180⁰

Step-by-step explanation:

Since the angle of straight line is 180⁰

Answer:

A and B = 180 degrees

Step-by-step explanation:

this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.

Thirty
five years ago, the average price of a textbook was $36. Today, the average textbook is $79. What percent increase is this? Round to the nearest percent if needed
A.54%
B.67%
C.119%
D.107%

pls help its an exam

Answers

Answer:

107% if you want to be sure check

Wich would most likely be graphed using a continuous graph?

Answers

Which would most likely be graphed using a continuous graph? Check all that apply.

total cost, c, of buying b cans of beans

total cost, c, of buying g pounds of broccoli

speed of a car, s, as it accelerates over time, t

number of stamps, s, needed to mail p postcards

total distance, d, that has been driven over time, t

decrease in outside temperature, F, one evening over time, t

B,C,E,F

this is what i found..hope it helps

If 3 · N = 3, then N is the _____.

A. 6
B.2
C.-3
D.3

Answers

If n=3 and your asking what 3n is, it would be 3(3) which =9 n is the variable

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

1. Set A

2.  [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]

3.

[tex](x+7)(x-7)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=7[/tex]

[tex]\implies x^2-7^2=x^2-49[/tex]

[tex](x-9)(x+9)=(x+9)(x-9)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=9[/tex]

[tex]\implies x^2-9^2=x^2-81[/tex]

[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]

[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]

[tex]\implies (4x)^2-3^2=16x^2-9[/tex]

4.

[tex](2x+5)(2x-5)[/tex]

[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]

[tex]\implies (2x)^2-5^2=4x^2-25[/tex]

5. [tex](x-6)(x-6)[/tex]

Cannot use Difference of Two Squares Formula to expand this expression.  To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]

Answer:

1.Set A

2.Aplyyanses of shortcut based

[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]

Step-by-step explanation:

thire9

What is 7/47 as a percentage rounded to one decimal place?

Answers

Answer:

14.9%

When finding the unknown percentage, divide. For this case, separate 7 and 47 from the fraction and convert 7 to 7,000

[tex]0.47~/~7,000\\~~~~~~=14,893\\[/tex]

In percentage, 14,893 rounds to 14,900, which can be interpreted as 14.9%

find the sixth term in the sequence 5, 20, 80…

Answers

Answer:

5120

Step-by-step explanation:

The sequence here is multiplying the previous value by 4. Following this sequence, we get the fourth value is 320, the fifth is 1280, and the sixth is 5120

Convert 37 liters to milliliters. Choose the words and numbers to complete the statements.

A liter is a
Choose...
unit than a milliliter, so
Choose...
the number of liters by
Choose...
to find the number of milliliters. Therefore, 37 liters is equal to
Choose...
milliliters.

Answers

Answer:

37,000 milliliters = 37 liters

Step-by-step explanation:

A Litre is a

1,000

unit greater than a milliliter, so

multiply

the number of liters by

1,000

to find the number of milliliter. Therefore, 37 liters is equal to

37,000

milliliters

what are equilateral triangles?

Answers

Answer:

They are triangle that have equal side and angle measurements.

Step-by-step explanation:

PLEASE HELP QUICK

Parallel lines a and b are cut by the transversal t. Explain how transformations can be used to show that angle 4 congruent is to angle 8 and angle 4 is congruent to angle 5

Answers

We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.

Once we know that [tex]\angle 4 \cong \angle 8[/tex], we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say

[tex]\text{ If } \angle 4 \cong \angle 8 \text{ and } \angle 8 \cong \angle 5, \text{ then } \angle 4 \cong \angle 5[/tex]

Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.

All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.

What is the equation of the line shown in this graph? Enter your answer in the box.​

Answers

Answer:

[tex]y=-3[/tex] as any point on this line has a y-coordinate of -3

Help pls I need it due tomorrow

Answers

Answer:

The length of A is 2. The height of A is 1.5. The Length of B is 5. The height of B is 15. The length of C is 6. The height of C is 6.

Step-by-step explanation:

Dimensions of A

Length: 4 multiplied by 1/2 is 2

Height: 3 multiplied by 1/2 is 1.5

Dimensions of B

Length: 2 multiplied by 2.5 is 5

Height: 6 multiplied by 2.5 is 15

Dimensions of C

Length: 2 multiplied by 3 is 6

Height: 2 multiplied by 3 is 6

Final answers are bolded

Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers


Only need answers

Answers

Answer:

Card 7: 59.66 Card 8: 25.12

Step-by-step explanation:

A hot air balloon is 1,200 feet above the ground. The angle of depression from the basket of
the hot air balloon to the base of a monument is 54°.

Which equation can be used to determine the distance, d, in feet, from the basket of the hot
air balloon to the base of the monument?

Answers

Answer:1200/d

Step-by-step explanation:

Solve the formula S = 47tr2 for r.

Answers

Answer:

A

Step-by-step explanation:

First divide S by 4pi. Then take the square root to solve for r.

Solve for x.
Your answer must be simplified.

Answers

I believe it is x < 120 (Btw the < is supposed to have a line under but I can’t put one! Pls give brainliest if can)

A jar of peanut butter is in the shape of a cylinder. The jar has a radius of 4 centimeters. It is filled with peanut butter to an inside height of 12 centimeters.

Answers

Answer:

602.88

Step-by-step explanation:

Formula for area is r²

4² is 16

16*3.14 = 50.24

50.24 × 12 = 602.88

Brainliest please?  

Answer:

To find how much peanut butter is in this jar, we use the formula for the volume of a cylinder.

(formula for vol. of cylinder)

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and lastly 'h' stands for the height.

We are given the dimensions of:

Radius = 4 centimetresHeight = 12 centimetres

This is all the information we need to fulfill the equation to this formula(volume of cylinder).

Plug in what you know:-

V = π[tex]r^{2}[/tex]h

(For 'pi' I'll be using 3.14 instead of 22/7)

V = 3.14(4^2) · 12 ← (The symbol ' ^ ' means to the power of.)

V = 3.14(16) · 12

V = 50.24 · 12

V = 602.88, 602.88 centimetres is the volume for this jar.

1. Ms. Rodriquez wanted to grow out her hair. She measured the growth each month. The first month
her hair grew 1.775 centimeters. The next month it grew 1.45 centimeters. The third month it grew
1.2 centimeters. How many centimeters did Ms. Rodriquez's hair grow in three months?

Answers

Answer:

Step-by-step explanation:

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