The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
The first number minus the second number plus twice the third number equals 7. Find the numbers.
Listed in order from smallest to largest, the numbers are

Answers

Answer 1

Answer:

-10,1,19

Step-by-step explanation:

x+y+z = 10 (Equation 1)

2y-x= 12  (Equation 2)

x-y+2z = 7 (Equation 3)

(Equation 2): -x = -2y+12

                       x = 2y-12 (Equation 4)

(Equation 1) - (Equation 3): 2y-z = 3

                                              -z = -2y+3

                                               z = 2y-3 (Equation 5)

Substitute (4) and (5) into (1)

x+y+z = 10

(2y-12)+y+(2y-3) = 10

5y-15 = 10

5y = 5

y=1

Substitute y=1 into (2)

2y-x= 12

2(1)-x= 12

2-x= 12

-x= 12-2

-x= 10

x= -10

Substitute y=1 and x=-10 into (1)

x+y+z = 10

-10+1+z = 10

z-9 = 10

z = 10+9

z = 19

Order: x = -10, y = 1, and z = 19

Answer 2

Answer:

-2 5 7

Step-by-step explanation:


Related Questions

Do You Know How?
Write an equation in Slope Intercept Form.
12. Given a Slope of -3 and a Y-Intercept of 8.

Answers

Answer:

y = -3x +8

Step-by-step explanation:

The slope intercept form intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -3 and the intercept is 8

y = -3x +8

Answer: y= -3x+8

Step-by-step explanation:

Using the formula y=Mx+b

Can you answer the questions
Below please and thank you

Answers

Answer:

1. 60

2. 90

Step-by-step explanation:

Answer:

1.

1/5

2.

1/15

Step-by-step explanation:

hello again,
I have another question

if Ellen drives to Kendal to Hereford via Chester. how many miles does she drive?

Answers

Answer:

301 99 add the 201 u get 301

How would you factor 6a - 15​

Answers

3(2a-5). To factor something out it mean to put it in a form that you can get the lowest numbers out. So what number goes in to both numbers 3. So there you go.

okay who knows there stuff good ? i failed geometry last year and were back at it plz helppp

Answers

a) 0.02 < 0.9
b) 2.93 > 2.69
c) 3.81 < 8.49

< means less than
> means greater than
= means equal to

Solve for x

8+10x-3x^2=0

Answers

Answer:     x = 4

       or       x= -2/3 = -0.667

Step-by-step explanation:

What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.

Answers

Answer:

The slope is 4, and the y-intercept is 12.

Step-by-step explanation:

In the given question, the line goes through points (-3,0) and (-2,4).

We need to find the slope and the y-intercept of the line.

Finding Slope:

Slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

With points (-3,0) and (-2,4):

[tex]m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4[/tex]

The slope of the line is 4.

Finding y-intercept:

An appropriate equation for what we have so far is:

[tex]y=4x+b[/tex]

We can solve for 'b' to get the y-intercept.

Replace 'x' and 'y' with one of the coordinates and solve for 'b':

[tex]4=4(-2)+b\\4*-2=-8 \leftarrow \text {Distribute}\\4=-8+b\\4+8=-8+8+b \leftarrow \text {Addition Property of Equality} \\\boxed {12=b}[/tex]

The y-intercept is 12.

Final Answer:

The answer should be: "The slope is 4, and the y-intercept is 12."

Answer:

The answer is d, which is the slope of 4 and the y- intercept is 12.

Step-by-step explanation:

Just took the test.

Correct me if I'm wrong.

Thank you

Tisa B Sora

A B C or D PLZ help!!!!!!!!!!!!!!!

Answers

Answer:

id say D

Step-by-step explanation:

A biased coin is tossed 40 times. Out of those 40 tosses, the coin landed on heads 12 times.

Find the probability of the coin landing on tails.

Answers

Answer:

Step-by-step explanation:The probability of picking the biased coin: P(biased coin)=1/100. The probability of all three tosses is heads: P(three heads)=1×1+99×18100. The probability of three heads given the biased coin is trivial: P(three heads|biased coin)=1.

Please help me it’s on probability

Answers

Answer:

C--- 15% of all students in grade 6 at HACS are below grade level in math

the ratio of the corresponding edge lengths of two similar solids is 4:5. What is the ratio of their volumes?

Answers

Answer: i think its b

Step-by-step explanation:

must read!!1

because the other ones for ex: A when 4 times 4 =16 but 5 times 5=25 not same numbers being multiplied this I  my hypothesis

Please help me with this question I’m not sure if I’m correct

Answers

Answer:

5/2

Step-by-step explanation:

Negative slopes go left to right downwards if I remember correctly

Answer: 5/2

Explanation: you’re really close, but remember that negative slopes go from left to right. Positive slopes go from right to left.

HERE IS THE WHOLE THING FOR 50 PTS
START AT THE RED BOX AND NAVIGATE TO THE END BOX
THANK YOU SO MUCH
YOU'RE THE BRAINLIEST :)

Answers

Answer:

Step-by-step explanation:

there iss no photo :<


Question Help
James is putting 24 jelly beans into equal rows. He says there will be more jelly beans in 2 equal rows
than in 3 equal rows. Is James correct? Explain.
Select the correct answer below, and fill in the answer box(es) to complete your choice.
(Type a whole number.)
OA. Yes. James is correct. There are fewer rows, so there will be more in each row. There will be
jelly beans in each row for 2 equal rows, and jelly beans in each row for 3 equal rows.
OB. No. James is not correct. There are fewer rows, so there will be fewer in each row. There will be
jelly beans in each row for 2 equal rows, and jelly beans in each row for 3 equal rows.
OC. No. James is not correct. It doesn't matter how many rows there are. There will always be
jelly beans in each row.
.
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Click to select and enter your answer(s) and then click Check Answer.
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Answers

Answer:

(A)James is correct.There are fewer rows, so there will be more in each row. There will be  12 jelly beans in each row for 2 equal rows, and 8 jelly beans in each row for 3 equal rows.

Step-by-step explanation:

James is putting 24 jelly beans into equal rows.

If he puts the jelly beans in 2 equal rows:

Number in each row=24/2=12 jelly beans per row.

If he puts the jelly beans in 3 equal rows:

Number in each row=24/3=8 jelly beans per row.

Therefore, James is correct.There are fewer rows, so there will be more in each row. There will be  12 jelly beans in each row for 2 equal rows, and 8 jelly beans in each row for 3 equal rows.

The correct option is A.

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91

Answers

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

57:43
Which scatterplot shows the strongest negative linear association?

Answers

Answer:

Its the third one i just took the test but it'd be helpful for others if you put the answer choices.

Step-by-step explanation:

Answer:

D or the graph pictures below

Step-by-step explanation:

edg2021

It can't be A or B because those are positive. D is strongest because it is clusters closest together and there is a more definitive line.

1. A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of
564 km/h. Another jet leaves the airport one half hour later traveling at 744
km/h in the same direction. Use an equation to find how long the second jet will
take to overtake the first.
A
17
30
h
17
h
30
1
15
h

Answers

Answer:

The time needs for second plane to catch up with first plane is t.

We have, 564(t + 0.5) = 744t

=> 180t = 282

=>  t= 282/180 = 1.57 hour

Hope this helps!

:)

The ratio of pens to pencils in the box is 84 to 112. Which statement describes this relationship?
A)
There are 3 pens for every 4 pencils in the box.
B)
There are 4 pens for every 6 pencils in the box.
There are 4 pens for every 3 pencils in the box.
D)
There are 6 pens for every 4 pencils in the box.​

Answers

Answer:

A) There are 3 pens for every 4 pencils in the box

Hope this helps!

What is the height of the pole?
top
O 12 ft
O 125 ft
O 18 ft
O 182 ft

Answers

The Answer is A

Hope this helps

Please help with this question!!

Answers

5/8

A. Real number.  True, all rational numbers are real;  SELECT ME

B. Non-real; nope, it's real, so not non-real

C. Irrational; nope, it's a rational number, the ratio of integers

D. Rational.  Natural numbers on top and bottom, bottom not zero.   SELECT ME.

E. Integer; no, it's a fraction.

F. Whole; that's a non-negative integer, nope.

G. Natural, that's a non-zero whole number, nope.

Answer: A D

A company is trying to calculate the amount of
concrete that will be needed to create one concrete
block that is in the form below.
The concrete block is a rectangular prism with two
cubes cut out. The cubes have a side length of 6
inches.
What is the total volume, cubic feet, of concrete
needed to make this block?

Answers

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])

What is the average rate of change for this exponential function for the
interval from x=2 to x 4?

A. 6
B.-6
C.-12
D.12

Answers

A because x2=4 and x4=16
(16-4)/2=6

Which of the following equations represents the line graphed below?

Answers

Answer:

y= -2x +3

Step-by-step explanation:

This is because the slope is 2 using rise over run and the y-intercept is 3 because it meets at that point, (0,3) on the number line.

Answer:

y= -2x +3

Step-by-step explanation:

How? We have to take a good look at the line graph

So we know that Y is equals to 2x +3 (first option)

Hope it kinda helped i am not very good at explaining

Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?

Answers

Answer: $4107.74

Step-by-step explanation:

Below is the data of ages at the local amusement park on a certain day.


17, 18, 17, 17, 20, 22, 17, 18, 13, 14, 19, 14, 13, 33, 31, 8, 9, 10, 8, 8, 16, 17, 19, 35, 29, 8, 10, 15, 17, 30, 29, 5, 9, 10, 15, 14



Provide the intervals and frequencies you would use to construct the histogram for this data set.

Answers

Answer:

39

Step-by-step explanation:

To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35.  A general rule would be 5-7 intervals, I will use 5.

Here are the intervals with the number of people that were in each:

1-7 (9)

8-14 (14)

15-21 (8)

22-28 (3)

29-35 (5)

14+9+8+3+5=39

x2 + 4 = 7x - 3
Quadratic formula

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME YALL



What is the hourly difference in median income for a male versus female with an advanced degree?



$__ /hr

Answers

Answer:

around 3$

Step-by-step explanation:

According to US bureau of census, the average hourly income difference between male and female working fro an employer for less than 10 years is around $3.

Answer:

$11.28

Step-by-step explanation:

Assuming your referring to the chart

median usual weekly earnings of full-time wage and salary workers by educational attainment and ... 2018 annual averages

I don't know how they got that answer I just know I got it wrong

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu. u = <-8, -8> and v = <-1,2>
a.) <-0.5, 1> + <-7.5, -9>
b.) <-1, 2> + <-7, -10>
c.) <-1, 2> + <-2, -1>
d.) <1.6, -3.2> + <-9.6, -4.8>

Answers

Answer:

c.) <-1, 2> + <-2, -1>

Step-by-step explanation:

hope i helped

It’s c hope it’s correct

Find the surface area of a cube is 150 cm2. What is the length an edge of
the cube? (all of the sides are squares)

Answers

Answer:

5

Step-by-step explanation:

The formula is 6x^2

If you set it equal to 150

Answer:

5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 = 25 + 25 + 25 + 25 + 25 + 25 = 50 + 50 + 50 = 150

5 would be the missing side because it fits the formula

(A x A) + (A x A) + (A x A) + (A x A) + (A x A) + (A x A) = Surface area

Step-by-step explanation:

The point A(-2, 3) is translated using T: (x,y) = (x + 4, y + 2).
What is the distance from A to A'?
VO
2/2
5
2/5

Answers

Answer: Choice D) [tex]2\sqrt{5}[/tex]

===========================================================

Work Shown:

Point A starts at (-2,3) and moves to (2,5) after applying the translation rule of "shift 4 to the right, 2 up".

Use the distance formula to find the distance from (-2,3) to (2,5)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-2)^2 + (3-5)^2}\\\\d = \sqrt{(-4)^2 + (-2)^2}\\\\d = \sqrt{16 + 4}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]

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