Mathematics High School

Consider the system of equations.

5x + 2y = 12
5x – 2y = 28

What is the solution to the system of equations? Show work using substitution or elimination to support your answer.

A (4, -4)

B (-4, 4)

C (5, -6.5)

D (4, 16)

Show how u got the answer.

Answers

Answer 1

Answer:

(4, -4) = (x, y) = A

Step-by-step explanation:

 5x + 2y = 12

- (5x - 2y = 28)

4y = -16

y = -4

5x + 2(-4) = 12

5x - 8 = 12

5x = 20

x = 4

Related Questions

PLEASE ANSWER QUICKLY!!!!
A student’s rectangular desk is 30 inches long and 18 inches wide. The teacher’s desk is similar to the student’s desk and has a length of 50 inches. What is the width of the teacher’s desk?

Answers

Answer:

83.3=width

30÷18=k

k=1.66666

k·50=83.3

w=83.3

120% of which is 480. I write what i know but i dont know what going on next, maybe I write wrong haha Improve me ​

Answers

I’m pretty sure The answer is 1.2

what is the answer thx ​

Answers

Answer:

f(3) = 100

Step-by-step explanation:

Using the recursive formula and f(1) = 1 , then

f(2) = - 10 f(1) = - 10 × 1 = - 10

f(3) = - 10 f(2) = - 10 × - 10 = 100

40 points and brainliest
Note this has already been solved I need it graphed!
please graph.
9.5 +x <−12
10.−4x >−24
11.4< x−6≤15
12.−15≥x+ 30≥10
13.|x+ 2x|<9
14.|x−6|≥12

Answers

Answer:

Here you go

9:

10:

11:

12:

13:

Mary is buying tickets for a movie.
• Each adult ticket costs $9.
• Each child ticket costs $5.
• Mary spends $110 on tickets.
• Mary buys 14 total tickets.
How many adult tickets, and how many child tickets, does she buy?
Please explain your work! I will mark brainliest if you do :)

Answers

adult ticket = 10

child ticket = 4

Step-by-step explanation:

for example…

adult ticket = xchild ticket = y

so that we get a system of equations

9x + 5y = 110…Equation 1

x + y = 14…Equation 2

solve the system of equations, this time I will use the Elimination and Substitution method

9x + 5y = 110

x + y = 14 (multiplied by 5)

↓↓↓↓↓↓↓

9x + 5y = 110

5x + 5y = 70

___________ _

4x = 40

x = 10

to find value of y subtitute x to one of Equation. for example from second Equation…

x + y = 14

10 + y = 14

y = 14 - 10

y = 4

∴ So, the number of each ticket was she bought is 10 adult ticket and 4 child ticket.

Are points C, G, and H collinear or noncollinear?

Answers

Answer:

collinear

Step-by-step explanation:

Answer:

Collinear

Step-by-step explanation:

How many 3/8 cups are in 1/2 cup

Answers

Answer: 1.3333 cups of 3/8 cups

Step-by-step explanation:

1/2 divded by 3/8

PLEASE HELP! GEOMETRY

Answers

Answer:

70

Step-by-step explanation:

the function 2x-5 = 135 and solving for x

Can someone help me on all or some of these questions Plzzzzz

Answers

Answer:

yes but where are the questions??

Step-by-step explanation:

a) Express Z in terms of X and Y
b) solve the equation​

Answers

Answer:

1.–2

2.–52.5

Step-by-step explanation:

I'm not sure

in that's wrong answer?

:))

use to a=√2 b=√5 c=√10 to work out the value of ac÷b
give your answer in its simplest form

Answers

Step-by-step explanation:

[tex] \sqrt{2} \times \sqrt{10| } \div \sqrt{5}[/tex]

[tex] \sqrt{20} \div \sqrt{5} [/tex]

[tex] \sqrt{100 } \div 5[/tex]

10/5

2

it just is, belive me

What is the value of a?
(3a+16)°
(6a)
38
a =

Answers

Answer:

18

Step-by-step explanation:

(3a+16)+38=6a

54=3a

18=a

Omgg pls help this!!!! Tyyy

Answers

First: let’s get Ben’s current age:
16+4=20

Next let’s get Dunn’s current age:
4/7=20/x
Cross multiply and divide:
x=35

Let’s now add 10 to both ages:
Ben 20+10=30
Dunn 35+10=45

Lastly, let’s find the lowest common multiple of 30 and 45 to determine the ratio:
30:45
Both 30 and 45 can be divided by 15.
30/15=2
45/15=3

Answer:
2:3

Please how do we solve this? Fast

Answers

Answer:

option B ................

is the correct answer

Boxes of matches each contain 52 matches. Estimate the total number of matches in 8 boxes.

Answers

If each box contains 52, then 8 boxes would contain 416 matches

What is the equation of the line that passes through the point (-8, 2) and has an
undefined slope?

Answers

Answer:

x=-8

Step-by-step explanation:

An undefined slope is a vertical line, and the equation for one is always x=(Whatever number x is at those points).

Therefore, with our point of (-8, 2), the equation must be x=-8

Solve for n.
(2^4)^2 = 2^n
n = __

Answers

Answer:

n=8

Step-by-step explanation:

(2^4)=16

16^2= 256

2^8= 256

I hope this helps!!!

Answer:

[tex] \\{ \boxed {\sf {n = 8}}}[/tex]

Step-by-step explanation:

[tex] \\ \sf( {2}^{4} )^{2} = {2}^{n} [/tex]

[tex] \\ \sf \mapsto {2}^{4 \times 2} = {2}^{n} [/tex]

[tex] \\ \sf \mapsto {2}^{8} = {2}^{n} [/tex]

[tex] \\ \sf \mapsto8 = n[/tex]

[tex] \\ \sf \therefore \: n = 8[/tex]

Factor Completely.
24x^2 - 44x + 12

Answers

Answer:

4(3x−1)(2x−3)

Step-by-step explanation:

Edit*

So first u common factor

24x^2-44x+12

4(6x^2-11x+3)

Then u use the sum product pattern

4(6x^2-11x+3)

4(6x^2-2x-9x-3)

Then find the common factor for both pairs

4(6x^2-2x-9x-3)

4(2x(3x-1)-3(3x-1))

Then rewrite in factor form

4(2x(3x-1)-3(3x-1))

4(2x−3)(3x−1)

9 + 12 - 219 - 22) > 0

Answers

Answer:

-232

Step-by-step explanation:

9+12=21

21-219= -198

-198-22= -232

Help! Please no links or I will report u!!

Answers

Answer:

D

Step-by-step explanation:

The range is all of the y values that make a function true. Our graph here starts at y=-2 and then goes up for infinity. This means the range is y ≥ -2. The domain is [0, ∞) because our x values start at 0 and go to infinity. This means the domain is restricted so A is not true, B is not true because the graph does not exist at x = -2.

John has 3-hectares farm land. He wanted that half of his farm will be transplanted by glutinous rice and the other half will be broadcasted by ordinary rice variety. How many kilos does he need to the two different rice variety?

NOTE:
100 kl/ha seeds needed if transplanting or direct seeding using drum seeder.
200 kl/ha seeds if the seeds will be broadcasted. ​

Answers

9514 1404 393

Answer:

  150 kL glutinous rice

  300 kL ordinary rice

Step-by-step explanation:

Each half of the property is 3 ha/2 = 1.5 ha.

For the transplanted glutinous rice, John needs ...

  (100 kL/ha)·(1.50 ha) = 150 kL

For the broadcast ordinary rice, John needs ...

  (200 kL/ha)·(1.50 ha) = 300 kL

hello! again... im so confused on this. could someone please help me figure out the answer + explanation? tysm!

Answers

Let’s first start with what is the parent function of a quadratic: f(x) = x^2.

Then, to get to x^2 + 1, the parent function was basically moved up by 1 on a graph.

To go from that equation to the h(x) function just follow the rules. Anything inside of a parentheses followed by a square is the opposite of what it actually is. So if you have (x - 8)^2, you’re moving the parent function 8 units to the right, instead of the left. If it’s (x + 8)^2, you are moving to the left 8. Anything outside of the parentheses that is being subtracted or added is moving the parent function down or up, respectively. Therefore, when it tells you + 5 at the end, that just means, up 5. Then if there is a negative out in front of the entire equation like you see there, it is being reflected over the x - axis. Then, the number being multiplied—in this case 3/4– is either a vertical compression or a vertical stretch. If the number is bigger than 1, it is a vertical stretch. If the number is smaller than one, it is a vertical compression.

All in all:

Vertical compression of 3/4
Vertical translation 4 units up
Reflection across the x - axis
Horizontal translation 8 units right

If you’re confused on anything, send me a comment or PM :)

7/8 - 4/5 what is the answer to this thing because i don't know it at all duhhhh

Answers

7/8-4/5. When subtracting two fractions, we must have a common denominator. A common denominator is a factor in which goes into both 8 and 5.

1.) Common factor: 45. 45 goes into and 8 and 5. If we list out all the factors of 8 and 5, 45 will be the lowest common factor.

2.) We need to multiply by a number to get 45 for each denominator. We can a one-step equation to figure out what we need to multiply 8 by and 5 by to get 45.
X=the factor of 8 that will get us 45.
8x=45
8x/8=45/8
x=5.625.
Y=factor of 5 that will get us 45.
5y=45
5y/5=45/5
y=9.

3.) We now know that we need to multiply 8 by 5.625 and 5 by 9 in order to get 45 as the denominator for both fractions.
7/8x5.625-4/5x9
7/45-4/45.

4.) Whatever is done to the denominator must be done to the numerator.
7x5.625/45-4x9/45
39.375/45-36/45

5.) We now have common denominators, so we simple subtract the numerators ONLY. We DO NOT subtract the denominators.
39.375/45-36/45=3.375/45.

Therefore, 3.375/45 is your answer.

Write an expression equivalent to (9m3 + 5m2 - 3y 2) - (2m3+2m2) - (3m2 - y2) using the fewest number of possible terms

Answers

Answer:  7m³ - 2y²  

Step-by-step explanation:

Answer = (9m³ + 5m² - 3y²) - (2m³+2m²) - (3m² - y²)     [expand the brackets]

            = 9m³ + 5m² - 3y² - 2m³- 2m²-3m² + y²           [group like terms]

            = 9m³- 2m³+ 5m²- 2m²- 3m²- 3y²+ y²             [simplify]

            = 7m³ - 2y²  

Multiply.

(−25)×(−0.3)×15

What is the product?

Answers

Answer:

112.5

Step-by-step explanation:

Find the surface area of
this triangular prism.
20 cm
16 cm
9 cm
12 cm

Answers

Answer:

the formulaA= 12BH is use to know the surface area of the triangle prism

devante is 4 years older than riley. in 4 years the sum of their ages will be 76. how old is devante now?

Answers

Answer:

Devante is 40 years old now.

Step-by-step explanation:

Devante is 36 when Riley is 32. If four years he is 40 and Riley is 36.

40 + 36 = 76

Hope this helps. Pls give brainliest.


Write 4 3/5
as an improper fraction.

Answers

Answer:

[tex] \frac{23}{5} [/tex]

Step-by-step explanation:

4 3/5

[tex] \frac{4 \times 5 + 3}{5} [/tex]

[tex] \frac{20 + 3}{5} [/tex]

= 23/5

UNSCRAMBLE : RBINTUTAOSC

please i need this for today i going to go sleep at 9:20
Porfavor ayuda me dormire a las 9:20

i give all my points!
te doy todos mis puntos!

Answers

Answer:

wag na kayo mag aral

Step-by-step explanation:

Hayop nayan

What is the smallest natural number that has exactly 6 factors and is not divisible by 2, 3, or both?

Answers

Answer:

1 2 4 5 7 8 is not divisible by 2 ,3

Answer:

Its 175

Step-by-step explanation:

175

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