Find the solution of the system of equations.
- 3x + 4y = 12
2.x + 2y = -22

Answers

Answer 1

Answer:

x = -8

y = -3

Step-by-step explanation:

So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.

You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44

Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.

Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.

2 · -8 = -16.

-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.

Hope this helps! :)


Related Questions

If VZ=p–7 and WY=p–21, what is the value of p?

Answers

Answer:

p = 35

Step-by-step explanation:

the midsegment WY is half the measure of VZ , that is

WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )

p - 21 = [tex]\frac{1}{2}[/tex] (p - 7) ← multiply through by 2 to clear the fraction

2p - 42 = p - 7 ( subtract p from both sides )

p - 42 = - 7 ( add 42 to both sides )

p = 35

If the half-life of that substance is 22 days, and only 1/4 of it remains, how many days have elapsed?
A- 11 days
B-22 days
C-44 days
D-88 days

Answers

Answer:

11

Step-by-step explanation:

if half of it is 22, then a whole life is 44 days. 1/4 of 44 days is 11 days so its A

Answer:

the answer is A (11 days)

Step-by-step explanation:

Hope this helps you!

I will give BRAINILEST

Answers

Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

ethan puts 1/3 pound of dog food into dog bowls every time he fills it. How many times can ethan fill his dog's bowl with 5 pounds of dog food?

Answers

Answer: Ethan can fill the bowl(s) 15 times.

Step-by-step explanation:

It would be 15 pounds, but if you’re thinking about how the questions phrased, he can only fill the bowl up once with 5 pounds of dog food because then he would be filling it up with 4 and 2/3 of dog food

mia kicked a football. the function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after mia kicked it.

Answers

Answer:

Step-by-step explanation:

f(t)= 20t-5t^2

Answer:

(4,0)

Step-by-step explanation:

I did it on khan and got it right :)

An eight-sided dice is rolled twice. The numbers are 1 through 8. What
is the probability that it will land on the number 7 twice in a row?

Answers

Answer:

1/64

Step-by-step explanation:

The probability of both dice being a 1 is 1/8 * 1/8 = 1/64

Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.

Answers

coordinates: (4, 7) and (4, –3)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_2}[/tex]

find slope:

[tex]\rightarrow \sf \dfrac{-3-7}{4-4}[/tex]

undefined

Here the slope is undefined

equation : x = 4

The line is a vertical line meaning no y-intercept.

Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0. 8. Explain your reasoning.

Answers

12 shade out of 15 boxes which gives 0.8 chance of picking a shaded one.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

There are 15 sections given

To make the probability of choosing a shaded section randomly 0.8,

So,

0.8 of 15

0.8 is equal to 80%

we need to figure out 80% of the 15

80% of 15

80% × 15

= 12

Hence, we would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one.

Learn more about probability;

brainly.com/question/795909

1. a) Solve the following linear-quadratic system of equations graphically.
y + 2x²– 8x – 1= 0
y+ 2x – 9= 0

b.) GRAPH

c.) Verify your solution (s) algebraically.

Answers

Answer:

please see explanation

Step-by-step explanation:

look at the photo

I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?

A.
5 in.3

B.
7 in.3

C.
19 in.3

D.
29 in.3

Answers

7 in.3 hope it helps

Rick is a car salesman and is paid off of a commission rate of 12%. If he sells $120,000 worth of cars, how much money will he make?

Answers

If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)

What time is it on the clock?

Answers

Answer:

About 2:18

The minute hand points toward the [tex]\frac{1}{4}[/tex] marker, meaning that is 15 minutes.Count the other ticks, and that's 18.Since the hand is not exactly on the 3, that means it is 2:00

With this information, we can make a hypothesis or come to a conclusion that the clock says 2:18

Which type of data would be considered qualitative data?

Answers

The type of data which would be considered as the qualitative data is the smell of the plant.

What is qualitative data?

The qualitative data is the data which describes the quality or the characteristics of a thing.

Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.

The options for the problem are listed below.

Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.

Thus, the type of data which would be considered as the qualitative data is the smell of the plant.

Learn more about the qualitative data here

https://brainly.com/question/24492737

Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).

Answers

Answer:

  36.5 square units

Step-by-step explanation:

There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.

__

Geometry

The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...

  A = 1/2bh

Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...

  A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5

The area of the bounding rectangle is ...

  A = bh = 9×7 = 63

So, the area of the figure is the difference ...

  A = 63 -26.5 = 36.5 . . . square units

__

The other methods of finding the area have been added as attachments.

PLEASE HELP ME ASAP!! 20 POINTS

Answers

Answer:

44%

Step-by-step explanation:

25 divided by the eleven students is .44

Answer:

It would be 44%.

Step-by-step explanation:

There are 11 boys and 25 students in total. That would make it 11/25. That is 44 out of 100. Which is 44%.

what is the measure of the angle shown?

Answers

Answer:

35 degrees

Step-by-step explanation:

Answer:

The measure of the angle is 35 degrees

Step-by-step explanation:

There are two measurements on the protractor.

If the angle is acute you will use the smaller measurenment of the two, and if the angle is obtuse, you will use the larger of the two.

In this case the angle is acute, so the measure is 35 degrees.

Hope that helps!

A textile factory uses a 43 pound bucket of dye to color a roll of fabric that is
1,067 feet long. if the company has 4 buckets of dye, can it color 5 rolls of
fabric?

Answers

Answer:

  No

Step-by-step explanation:

At one bucket per roll, four buckets will color four rolls, not 5.

__

The company cannot color 5 rolls of fabric with 4 buckets of dye.

given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 24 nd DC = 12, what is the length of AD?

Answers

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

Marvin has a vintage comic book worth $351. According to a dealer, the value of this particular comic book will increase by 12.1% each year. How much will the comic book be worth in 13 years?
If necessary, round your answer to the nearest cent.

Answers

y = 12.1% x 13 + 351
y= 0.012 x 13 + 351
y= 1.573 + 351
y= 352.573 or $352.6

Without solving the addition problems, tell whether the answers are going to be odd or even. Model 39 +42 odd 1. 64 + 82 2. 129 + 377 3. 468 +599 4. 1,987 + 9,888 Activity 4 Without solving the multiplication problems, tell whether the answers are going to be odd or even. Model 39x42 even 2. 137 x 141 1. 78 X 44 4. 5,111 x 8,222 3. 528 X 603.



SOS HOMEWORK ​

Answers

Answer:

3. 1067

4. 11875

5. 1638

6. 19317

7. 3432

8. 42022642

9. 318384

Write an equation for the nth term of this sequence: 1/8, 1/4, 1/2, 1..

Answers

Answer:

[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

Step-by-step explanation:

This is a geometric sequence.  You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.

The number you multiply by is called the common ratio.  In this case, the common ratio is 2.

A formula for the general (nth) term is:  [tex]a_n=a_1 r^{n-1}[/tex].

[tex]a_1=1/8\\r=2[/tex]

So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

Hong purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Hong paid.

Answers

Answer:

5n=c

Step-by-step explanation:

the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together

sorry for the delay. hope this helps

the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant

Answers

Answer:

950.331ft^3

Step-by-step explanation:

I hope this is correct...

I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.

After measuring the heights of 7 people, they have an average height of 156cm. after
measuring the heights of 8 people they have an average height of 158cm. how tall is
the 8th person?

Answers

Answer:

8th Person = 172 cm tall

Step-by-step explanation:

( a + b + c + d + e + f + g )/7 = 156

a + b + c + d + e + f + g = 1092 total size

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

now they measured 8 people (a + b... g) + h, but we know the total size of the other 7 = 1092

a + b + c + d + e + f + g + h

( 1092 + h )/8 = 158

1092 + h = 158*8

h =  1264 - 1092

h = 172

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

the 8th person is 172 cm tall

1 2/3x=1/2
what is x?

x/2.5=1.75
what is x?

Answers

Answer:

Step-by-step explanation:

1.  12/3x = 1/2

4/1x = 1/2

4/1x = 1/2 / 4/1

1/2 x 1/4 ,  x = 1/8.

2).    x / 2.5 = 1. 75/ 1

cross multiply to get

x = 2.5 x 1.75

x = 4.375

The first one is 3/10 the second one is 35/8

Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4

Answers

Answer:

y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is

y = [tex]\frac{4}{3}[/tex] x + c

to find c substitute (- 3, - 3 ) into the equation

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

that is the y- intercept of the perpendicular line is c = 1

9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons​

Answers

Answer:

let the number of persons be " x "

and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.

______________________________________

let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,

let us suppose each person gets an amount of " r " rupees.

then ,

[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]

_____________________________________

According to Question ,

hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.

hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -

[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]

lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]

[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]

on dividing the complete equation by (- 160)

[tex]x { }^{2} + 20x - 1125 = 0[/tex]

now , use the method of splitting the middle term so that we get the value of x.

[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]

since number of persons can't be negative. therefore ,

number of persons = x = 25

_____________________________

_____________________________

hope helpful :D

Look at these equations.
9 = 7+ a
a + 8 = b + 5

Use both equations to work out the value of B ​

Answers

Answer:

B=5

Step-by-step explanation:

If 7 plus a equals 9 then a would equal 2.

2+8=b+5

10=b+5

Ask yourself what number plus 5 equals 10

B is 5 because 5 plus 5 is 10

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ

Answer:

60

Step-by-step explanation:

1/6 x 360

Central angle is equal to measure of intercepted arc.

60 degrees

this question is too hard

Answers

Answer:

27 children

Step-by-step explanation:

For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.

39 / 13 = 3

There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.

3 * 9 = 27

Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)

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