Solve the system using the method of you choice:
-x + 4y = 12

5x - 2y = -6

Answers

Answer 1

Answer:

(0, 3)

Step-by-step explanation:

Let's first eliminate x.  To do this, multiply all three terms of the first equation by 5:  

-5x + 20y = 60

5x -    2y  = -6

----------------------

         18y = 54, so that y = 3.

Substituting 3 for y in the first equation yields:

-x + 4(3) = 12, or -x = 0.  Thus, x = 0, and the solution is

(0, 3)


Related Questions

Question 27

.........................................................

Answers

Answer:

B

Step-by-step explanation:

(10 − 6)3 ∙ 4(2) + (10 + 2)2, (8 − 6)5 ∙ 2(-4) + (6 − 8)0,

(5-2)-5 x 3(2) + (5+2)0

Answers

Answer:

120, -80, -90

Step-by-step explanation:

Use order of operations to solve each:

(10 − 6)3 ∙ 4(2) + (10 + 2)2

(4)3 x 4(2) + (12)2

12 x 8 + 24

96 + 24 = 120

(8 − 6)5 ∙ 2(-4) + (6 − 8)0

(2)5 x (-8) + (-2)0

10 x (-8) + 0 = -80

(5-2)-5 x 3(2) + (5+2)0

(3)-5 x 6 + (7)0

-15 x 6 + 0 = -90

Maria bought an SUV for 21,000 dollars. Nancy bought a sedan for 2/3 as much. How much less did Nancy spend on her sedan?

Answers

Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

What is the length of the missing leg

Answers

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

Answer: 12 miles

Step-by-step explanation:

Use Pythagorean Theorem to find the missing side.

a^2 + 5^2 = 13^2

a^2 + 25 = 169

subtract 25 from both sides

a^2 = 144

take the square root of both sides

a = 12

Which of the binomials below is a factor of this trinomial?
6x2 + 30x+ 36
A. x-6
B. x + 2
C. x-2
D. X+6

Answers

Answer:

x+2

Step-by-step explanation:

6x2 + 30x+ 36

Factor out the greatest common factor

6 (x^2 +5x+6)

Factor inside the parentheses

That 2 numbers multiply to 6 and add to 5

2*3 = 6

2+3 = 5

6(x+3)(x+2)

Answer:

a

Step-by-step explanation:

i think it is a

but I am not sure

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The first one dividing the number by 100

Step-by-step explanation:

To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches. How many cubic inches of frosting is in the bag? Use 3.14 for pi.

Answers

Answer:27.7

Step-by-step explanation:

the formula for a cone is V=1/3πr*2h

it is 1/3 because a cone is one-third of a sphere.

you then put the information from the text in the formula and you get this

V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)

then you get the answer 27.6948

round to the nearest 10th and you get

A. 27.7

Also, I took the test.

There are 27.77 in³ of frosting is in the bag.

What is volume?

The amount of space, measured in cubic units, that an object or substance occupies.

Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.

Volume of cone = ¹/₃πr²h

r = 4.2/2 = 2.1 in

h = 6 in

Volume = ¹/₃x2.1x2.1x6

= 27.77

Hence, the volume of the cone is 27.77 in³

For more references on the volume, click;

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True or False.
A dilation is defined by a scale factor.

Answers

Answer:

True

Step-by-step explanation:

The answer will be true for the following question.

True or False.

A dilation is defined by a scale factor.

Hope this helps

Answer:

True would be your answer. Hope this helps.  :  )

Step-by-step explanation:

Solve for the following system of equations by using the substitution method for x-y=0 and x-y-2=0

Answers

Answer:

The picture doesn't pop up.

Step-by-step explanation:

There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.

Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?

Answers

Answer:

12 because if you add 6 and 12

Step-by-step explanation:

hope it helps uou !!

Answer:

It's 12

Step-by-step explanation:

hope it helps you !!

How is the distributive property used when multiplying two binomials

Answers

Answer:

Step-by-step explanation:

When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined.

When multiplying two binomials, four multiplications must take place. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.

There are numerous ways to set up the multiplication of two binomials. The two basic formats, horizontal line-up and vertical line-up, are similar to what we saw in adding and subtracting polynomials. Let's investigate the simple product (x + 2)(x + 4) with a variety of set-ups. Start with the first term of the first binomial (the blue x).

• Distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Then take the second term in the first binomial (including its sign: +2) and distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Add the results, combining like terms when needed.

• This method will work with all polynomials, not just binomials times binomials.

Answer:

Distributive.

Step-by-step explanation:

I did the quiz.

Find the area of the rhombus.

Answers

Answer:

Area of rhombus = 24 m²

Step-by-step explanation:

Diagonal of rhombus is given as:

[tex] D_{1} [/tex] = 6 m

[tex] D_{2} [/tex] = 8 m

[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]

The Choco soda company offers canned drinks that hold
a volume of 56.52 in and measqre 8 inches tall. What i
the radius of their cans? Round your answer to the
nearest tenth.

Answers

Answer:

1.5 inches

Step-by-step explanation:

56.52/ 8 = 7.065

7.065 / pi =2.248859346

square root of 2.248859346 = 1.5

r = 1.5

Answer:

1.5 inches

Step-by-step explanation:

Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining

Answers

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Factor the polynomial completely.

x^2 + x + 3

Answers

Answer:

ehswFYDHSDDSHJVBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

What equation is represented in this graph.
15 Points need ASAP.
Thanks!

Answers

Answer:

y = [tex]e^{x}[/tex]

the correct answer is “c”

Use the table below.



If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?

No
Yes

Answers

Yes. Broiled Sirloin:240 + Baked Potato:145 + salad:33 + fruit cocktail:57= 475

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

What is example of natural numbers

Answers

Answer:

1, 2, 3, and so on are natural numbers.

Step-by-step explanation:

Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15

Answers

Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.

Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?




Answers

Answer:

odd

Step-by-step explanation:

Answer:

yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:

EDGEEE 2022

This graph shows a proportional relationship. (2/3, 3/4)


What is the constant of proportionality?

Answers

Answer: Hi! I'd love to help you but I'd need to see the graph.

Step-by-step explanation: Can you add a picture?

Find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

5x+8

5x8=40

x=40

Answer:

x = 25.6

Step-by-step explanation:

1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them

        48 * 2 = 96

Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.

2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.

360 - 96 = 264

264/2 = 132

3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.

5x + 8 = 132

5x = 128

x = 25.6

The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.

Each spinner below is spun. Find the probability.







P(A and 2)



A. 4/15

C. 1/15


B. 1/17


D. 9/23

Answers

Answer: the answer is B1/17

Step-by-step explanation:

If = 58° and p = 150 in, what is the value of m to the nearest tenth of an inch?

Answers

Answer:

th answer would be 92

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

150

- 58

____

  92

Identify the cross section of the solid shown in the diagram.
A. octagon
B. hexagon
C. quadrilateral
D. pentagon

Answers

Answer:

I think it is (D) Pentagon

Will mark brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!



The number of visitors to Disney’s Epcot center food court is 1,940 today. This is 400% of the number
of visitors on the first day the food court was open. How many visitors did the food court have on the first
day? pls show work

Answers

Answer:

The Disney Epcot Center food court had 485 visitors on the first day

Step-by-step explanation:

Let's answer the question correctly, this way:

Number of visitors today = 1,940 and 400% of the visitors on the first  day

How many visitors did they have on the first day?

Let's use the Rule of Three Simple, this way:

x = Number of visitors to the center food court on the first  day

Number of visitors     Percentage

1,940                               400%

 x                                    100%

400 * x = 1,940 * 100

x = 194,000/400

x = 1,940/4 = 485

The center food court had 485 visitors on the first day

Step-by-step explanation:

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

Answers

Answer:

-2

Step-by-step explanation:

image attached!

To make a model volcano that actually erupts, Tomo mixes chemicals using the recipe
shown.
He makes three batches of fake lava, each containing a different amount.

Drag numbers to show how much of each ingredient Tomo should use in each batch of
fake lava.

1/2 of the mix is baking soda

2/5 of the mix is vinegar

1/10 of the mix is dish soap

Answers

Answer:

What i added is the correct answer

Step-by-step explanation:

In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?





a) reflection followed by a rotation

b) translation followed by a rotation

c) translation followed by a reflection

Answers

Answer:

B. i think?

Step-by-step explanation:

What is the surface area?

4 cm
4 cm
4 cm

Answers

Answer:

would be 4cm x 4 cm = 16 sq.cm. 6 surfaces of the cube would be 6 x 16 = 96 sq.cm. By definition, a cube has congruent sides. So, each side has an area   A = s^2.

Step-by-step explanation:

hope this helps

The total surface area of the cube is 96 square centimeters.

We have,

Given that each side of the cube measures 4 cm, the formula to calculate the surface area is:

Surface Area = 6 * (side length)²

Substituting the value of the side length,

Surface Area = 6 * (4 cm)²

Surface Area = 6 * 16 cm²

Surface Area = 96 cm²

Therefore,

The total surface area of the cube is 96 square centimeters.

Learn more about cubes here:

https://brainly.com/question/11168779

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The complete question:

"What is the total surface area of a cube with each side measuring 4 cm?"

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