5x +2y=22
4x+y=17
In the system of equations above, what
is the value of x+y?
A. 5 B. 4 C. 3 D. 2

Answers

Answer 1

Answer:

A: 5

Step-by-step explanation:

4x + y = 17 --> y = 17 - 4x

5x + 2y = 22

<=> 5x + 2 . (17 - 4x) = 22

<=> 5x - 8x + 34 = 22

<=> 34 - 3x = 22

<=> 3x = 34 - 22 = 12

<=> x = 4

y = 17 - 4x = 17 - 4 . 4 = 17 - 16 = 1

So, x + y = 4 + 1 = 5

Answer: A. 5

Answer 2
Step 1: solve for y in 2nd equation
Y=-4x+17
Step 2: sub into first equation
5x+2(-4x+17)=22
Step 3: solve for x
5x-8x+34=22
-3x=-12
x=4
Step 4: plug x=4 into either equations
5(4)+2y=22
Step 5: solve for y
20+2y=22
2y=2
y=1
Conclusion: (4,1) or x=4, y=1

Related Questions

A rectangle has an area of 14 cm squared. A scale factor of 2 is used to enlarge the rectangle. What is the area of the scaled rectangle? *

Answers

Answer:

69

Step-by-step explanation:

the answer would be 69

Which statement is true about the relationship between the amount of plant food remaining and the number of days? Can you help me with this problem

Answers

Answer:

I think you're missing something

Step-by-step explanation:

This graph shows a proportional relationship between the number of cello players and the number of violin players in a music group. What is the constant of proportionality?

Answers

8

there are 8 violinists for each cellist.

if a $1000 investment earns %20 interest compounded annually, then the investment will double in value in how many years?

Answers

Answer:

           In four years.

Step-by-step explanation:

End of first year:

1000 + 20%•1000 = 1000 + 200 = $1200

End of second year:

1200 + 20%•1200 = 1200 + 240 = $1440

End of third year:

1440 + 20%•1440 = 1440 + 288 = $1728

End of fourth year:

1728 + 20%•1728 = 1728 + 345.6 = $2073.6  >2•$1000

Well 100% is 20%x4 so four years So no matter what number it would be 4 years

What is a pre-image??? SaberXTooth bro answer me!!!

Answers

The answer is how the image was to begin with

Answer:

Step-by-step explanation:Much is usually anticipated about the fierce and decidedly bloody clashes between Wolverine and Victor Creed, the man known as Sabretooth, even though these men are arguably two sides of the same coin. Each of them has deadly claws that rend and draw blood; each has a generous amount of fear and intimidation working for them; each has a healing factor that prevents them from being mortally wounded (eventually reaching preposterous levels of effectiveness); and each has killed and will kill if the situation calls for it. Yet there are differences, as well: Logan's skeleton, as well as his claws, are made of the unbreakable metal known as adamantium; and while there have often been instances where he's been shown to be merciless, he's not nearly as sadistic as Creed, who will not hesitate to kill even when there is no reason for it. Perhaps the difference that keeps us engaged, however, is the fact

surface area of composite figures

Answers

Answer:

408 cm²

Step-by-step explanation:

You can find the total area by dividing the figure into two different parts.  You have one large rectangle and two smaller triangles that have the same given dimensions, meaning that the triangles will have the same area.  Find the area for the divided figures first.

Rectangle

The length is 24 cm (6 + 8 + 10).  The width is 15 cm.

A = lw

A = (24 cm)(15 cm)

A = 360 cm²

Triangle

The height is 6 cm.  The base is 8 cm.

A = 1/2bh

A = 1/2(6)(8)

A = 3(8)

A = 24 cm²

Now, add the areas together.  Since there are two triangles, make sure to account for that in your calculations.

360 cm²  +  24 cm²  +  24 cm²  =  408 cm²

Answer:

408 cm^2

Step-by-step explanation:

You would just find the surface area of all of the shapes and then add them all together so for the 2 triangles you would just multiply 6 and 8 and divide by 2 so you would get 24 for both of then so then you would find the area of all of the rectangles so for the smallest one you would do 15 times 6 which is 90 then you would multiply 15 and 8 for the middle triangle and that would be 120 and for the last rectangle, you would multiply 15 and 10 which is 150 and then you would add all of them up. The numbers would be 24,24,90,120,150 and when you add them up you would get 408 cm^2

What is 6×6+12+3×2=???

Answers

Answer:

54

Step-by-step explanation:

Use PEMDAS

1. 6 x 6 + 12 + 3 x 2  (multiply 6 and 6)

2.  36 + 12 + 3 x 2  (multiply 3 and 2)

3. 36 + 12 + 6 (combine like terms, so add them)

4. 54 (final answer)

Answer:

54

Step-by-step explanation:

[tex]6\times6+12+3\times2=???\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\times \:6\::\quad 36\\=36+12+3\times \:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times \:2\::\quad 6\\=36+12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:36+12+6\:\\:\quad 54[/tex]

A hollow triangular prism is filled with cola. The prism holds 5 of cola. The length is 50cm, the base of the triangle is 20cm. What is the height of the triangle?

Answers

Answer:hi

Step-by-step explanation:

The answer is five because the 5 colas add up to 1 cola for one cm so the height is 5cm

Jack read 20 pages of a book in 60 minutes. How many pages can he read in 75 minutes at the same rate? Write a proportional equation. Please help me answer this equation!!

Answers

Answer:

25 pages

Step-by-step explanation:

Create a proportion:

[tex]\frac{pages}{minutes}[/tex] = [tex]\frac{20}{60}[/tex] = [tex]\frac{x}{75}[/tex]

Cross multiply and solve for x, the number of pages in 75 minutes:

60x = 1500

x = 25

So, he can read 25 pages in 75 minutes at the same rate

25 pages


He read 1 page in 3 minutes for 60 minutes 75 is 15 more than 60 so what time 3 would equal 15 It would be 5 so you would add 5 more pages to the 20 pages and you would get 25

Today, Sean left home at 8\text{ a.m.}8 a.m.8, start text, space, a, point, m, point, end text, drove to work, and worked from 9\text{ a.m.}9 a.m.9, start text, space, a, point, m, point, end text until 5\text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text On the drive back home, Sean got stuck in slow-moving traffic for 222 hours, then stopped to have dinner, and finally got home at 9\colon30\text{ p.m.}9:30 p.m.

Answers

Answer:

the answer is

Seans workplace is located 20km from his home

Seans speed when he was driving to work was 20 km/h

Seans speed betwenn 5pm and 7pm was 5 km/h

Answer:

Seans workplace is located 20km from his home

Seans speed when he was driving to work was 20 km/h

Seans speed betwenn 5pm and 7pm was 5 km/h

What value of x satisfies the equation?

Answers

Answer:  The answer is D

Step-by-step explanation: First you distribute the 2 by x and 2 so you get 2x + 4 then you distribute -3 by x and -1 so you get -3x + 3 then you add up the two equations then yo get -x + 7 = 9 then you subtract the 7 on both sides so you get x = -2

The answer is x=-2

Explanation: There are two ways you can solve this equation. The easiest (but longer) way is to plug every answer (A, B, C, and D) as your x value and solve to see which one will equal -9. The second way is to isolate x to one side of the equation through simplifying.

Hope this helped!

Enter 52.16 in expanded form.

Answers

Answer:

50 + 2 + 0.1 + 0.06

50+2+.1+.06

Basically you are writing out the value of each digit

Describe how you would graph a figure that is translated by (x - 4, y + 2

Answers

Answer:

See the photo to see where its graphed

Step-by-step explanation:

Given 11 different natural numbers, none greater than 20. Prove that two of these can be chosen, one of which divides the other.

Answers

Answer:11 honestly have no idea but im going to give my best answer it is 31

Answer:

777 838 3

Step-by-step explanation:

sood

A sample of 257 adults is selected. The adults are classified according to voter registration status ("registered" or "not registered"). They are also classified according to preferred source of current events information ("television", "newspapers", "radio", or "internet sites"). The results are given in the contingency table below. What is the relative frequency of adults in the sample who are not registered to vote? Round your answer to two decimal places.

Answers

Answer 2.12 because if the math is done the correct way hopefully that’s what anyone would get

The relative frequency of adults in the sample who are not registered to vote is 0.47.

What is the relative frequency?

Relative frequency is a statistical concept that refers to the proportion or percentage of observations or events in a given sample or population that fall into a particular category or have a particular characteristic.

We have,

To find the relative frequency of adults in the sample who are not registered to vote, we need to sum up the number of adults who are not registered:

22 + 39 + 21 + 39 = 121 and divide it by the total sample size which is 257.

Relative frequency of adults who are not registered to vote

= (number of adults who are not registered) / (total sample size)

Relative frequency of adults who are not registered to vote.

= 121/257

Relative frequency of adults who are not registered to vote

= 0.47 (rounded to two decimal places)

Therefore,

The relative frequency of adults in the sample who are not registered to vote is 0.47.

Learn more about relative frequency here:

https://brainly.com/question/29739263

#SPJ3

i need step by step explanation for this!

Answers

Answer:

61

Step-by-step explanation:

13 - 1 = 1212 ÷ 2 = 6Put 6 and 1 together: 61

Therefore, the number is 61

Let's check:

6 × 2 = 1212 + 1 = 13

The sum of the two digits is 13, and we got that, so we are correct. The number is 61.

Answer:

49

Step-by-step explanation:

let unit digit=x

ten's digit=y

then x+y=13

x=13-y

also x=2y+1

13-y=2y+1

13-1=2y+y

3y=12

y=12/3=4

x=13-4=9

so number =10×4+9=49

The weekly salaries (in dollars) for employees of a small business are given below. (Note that these are already ordered from least to greatest.) 592, 627, 815, 853, 930, 936, 1000, 1007

Answers

1433377544997655555522

How much time has passed from the first clock to the second clock? The time passed is less than 1 hour. __?__ minutes.

Answers

Answer:

34 mins

Step-by-step explanation:

eqch number count by five then add four

Less then an hour and more then 30 minutes.
The answer is 32 minutes

0.11 to the second power

Answers

Answer:

0.0121

Step-by-step explanation:

0.11 to the second power = 0.0121

Answer: 0.0121

Step-by-step explanation:

common sense

PLEASE HELP NEED BEFORE YHE END OF THE DAY!!!!! Make an graph the y axis is the temperature C (the first column row to the left with the C) and the x axis is the sugar dissolved (the middle row).

Answers

Answer:

Do not forgot to label axis.

Step-by-step explanation:

Attached below is a graph.

Answer:

The image

Step-by-step explanation:

To do this you would have the left ones as the x coordinate and the ones in the middle as y coordinates

What is the relationship of the 6's in 966?

Answers

Answer:

10

Step-by-step explanation:

the 6 9_6 is ten times larger than the 6 96_, and the 6 96_ is 10 times smaller than the 6 9_6.

I think it would be 10

Which ratios are equivalent to 10:16? Check all that apply. 30 to 48 25:35 StartFraction 40 Over 64 EndFraction 8:32 5 to 15

Answers

Answer:

30 to 48, 40/64

Step-by-step explanation:

Which ratios are equivalent to 10:16, and they gave us 30 to 48, 25:35, 40/64, 8/32 and 5 to 15.

For 30 to 48, we can mulitply the 10:16 by 3 to give us 30:48, so it is equal.

For 25:35, we simplify it to 5:7, while 10:16 is 5:8, so they are not equal.

For 40/64, we can take 10:16 and multiply them by 4, getting the same number. Therefore, it is equal.

For 8/32, we can simplify it down to 1/4, while 10:16 simplifies down to 5:8, it is  not equal.

Lastly, for 5 to 15, w can simplify that to 1/3, and get 5:8 for 10:16, so it won't be equal.

A & C because they can both be reduced to 5:8

what is inf + 0 get it right

Answers

Answer:

Step-by-step explanation:

Hdjfnfjfnf I u need cash just for the first week of

It would be inf. Explanation, since nothing is gettin added to inf it stays inf.

please help asap i realy need to pass

Answers

Answer:

8/15

Step-by-step explanation:

24/46 = 0.5217391     rounds to 0.52

8/15 = 0.5333333...     rounds to 0.53     this is the answer

42/90 = 0.466666....   rounds to 0.47

5/9 = 0.55555.......   rounds to 0.56

mark as brainliest   please

Answer:

8/15

Step-by-step explanation:

I’m doing the quiz rn

evaluate each expression: I-18I - I13I

Answers

|-18| = 18 and |13| = 13 so |-18|-|13|=5
the numbers become positive so |-18| - |-13| = 5

What is a point on the line with equation y + 2 = 5 (x - 3) ? (- 3, 2) (- 2, 3) (2, - 3) (3, - 2) are my only choices

Answers

Answer: (3,-2) is a point.

(-2,3) is the point on the line. you can find this by simplifying your equation (subtract 2 from both sides of the equal sign to isolate the y variable). by doing this you get y=3. this means that every point on the line has a 3 in the y spot. therefore, the answer is (-2,3).

7 ones 2 tenths+4 tenths= how many tenths

Answers

Answer:

76

Step-by-step explanation:

7+0.2+0.4=7.6

7.6 times 10 is 76

7 + 0.2 + 0.4 = 7.6

7.6 x 10 = 76

76 is answer

George is putting trim around his rectangular deck, including the gate. He will need 44 feet of trim to do the entire deck. If the deck is 12 feet long, how wide is the deck?

20 feet
8 feet
22 feet
10 feet

Answers

Answer:

10 feet

Step-by-step explanation:

perimeter of the deck=44 feet

P=2 length+ 2 width

44=2(12)+2w

44=24+2w

2w=44-24

w=20/2 ⇒ w=10 feet

check: P=2l+2w ⇒ 2(12)+2(10) ⇒ 24+20=44 feet

I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the grid looks like:

Answers

Answer:

8, 2, 8, 2

7, 3, 7, 3

6, 4 6, 4

9, 1, 9, 1

Step-by-step explanation:

In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.

So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.

Since there are 18 numbers, I'm assuming we don't have to use all of them.

It’ll always be 8 and 8

this is a mobile home. how much do you think it costs?

Answers

Answer:

$70,000??

Step-by-step explanation:

Answer:

It might be around  $51,371

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