Mathematics High School

16, 3x + 2y = 8 5x+ 2y = 12 What is the solution of the system of equations shown above? A(-2,7) B. (2,1)
C.4/3,2
D
2,4

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Answers

Answer 1

Answer:

The solution of the system of the equations is (2, 1) ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = 8 ⇒ (1)

∵ 5x + 2y = 12 ⇒ (2)

→ Subtract equation (1) from equation (2)

∴ (5x - 3x) + (2y - 2y) = (12 - 8)

∴ 2x + 0 = 4

∴ 2x = 4

→ Divide both sides by 2

∴ x = 2

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(2) + 2y = 8

∴ 6 + 2y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + 2y = 8 - 6

∴ 2y = 2

→ Divide both sides by 2 to find y

∴ y = 1

∴ The solution of the system of the equations is (2, 1)

Related Questions

Round 58.28 to
the nearest tenth.
Pls answe super fast I will give 20 points

Answers

Answer:

58.30

Step-by-step explanation:

xbhfhdhjdjdjdsjzjjzzjzjjzjzjzjjzjzjzjsjjsjzjzjjzj

Answer:

58.3

Step-by-step explanation:

8 is more than 5 so get rid of the 8 and add 1 to the tenth position.

Identify this sequence: 12, 19, 26, 33, 40, 47. The next term is
O
60
O 52
54
61

Answers

Answer:

54

Step-by-step explanation:

7 is added to each term

Answer:

54

Step-by-step explanation:

it goes by 7's and so on

Using these screenshots, explain how "A bag of sand costs $2".

Answers

Answer:

Since 4 bags cost $8, divide $8 by 4 bags and you get $2 for 1 bag.

Solving equations

-2/5x-1=9

Answers

Answer:

x=-25

Step-by-step explanation:

-2/5x-1=9

-2/5x=10

-2x=50

x=-25

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[tex] - \frac{2}{5} x - 1 = 9 \\ [/tex]

Add sides 1

[tex] - \frac{2}{5} x - 1 + 1 = 9 + 1 \\ [/tex]

[tex] - \frac{2}{5} x = 10 \\ [/tex]

Multiply sides by 5

[tex]5 \times - \frac{2}{5}x =5 \times 10 \\ [/tex]

[tex] - 2x = 50[/tex]

Divide sides by - 2

[tex] \frac{ - 2x}{ - 2} = \frac{50}{ - 2} \\ [/tex]

[tex]x = - 25[/tex]

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Early point give away What is 100 times 10 to the 9 power.

Answers

10,000,000,000 is the answer

Write an equation of the line with a slope of
3 and y-intercept of -8

Answers

Answer:

3x-8=y

Step-by-step explanation:

Find the value of X in the figure

Answers

none of the above i think

solve for the missing side. round to the nearest tenth

Answers

Answer:

9.2

Step-by-step explanation:

A recipe requires 4 cups of flour to make 3 dozen cookies. How many cups of flour are needed to make 10 dozen cookies?

Answers

9514 1404 393

Answer:

  13 1/3 cups

Step-by-step explanation:

We assume flour is proportional to cookies, so we have ...

  cups/dozens = x/10 = 4/3

Multiplying by 10 gives ...

  x = 40/3 = 13 1/3

13 1/3 cups of flour are needed for 10 dozen cookies.

Answer:

13 1/2 cups of flour.

Step-by-step explanation:

Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!

Answers

Answer:

student a

Step-by-step explanation:

i just took the exam

Whenever the input of a function f increases by 1, the output increases by 5. What equation could define f? (Hint: try drawing a table of values)
HELP PLEASE

Answers

Answer:

f = x * 5

I dont know how to explain it, but if it increases by 1 and adds 5, its multiplying by 5

The equation should be [tex]f = x\times 5[/tex]

Calculation of an equation:

The equation represents the statement where the values of two mathematical expressions should be equivalent to that presented by the sign = or equal sign.

Since  the input of a function f increases by 1, the output increases by 5

So, the equation should be

[tex]f = x\times 5[/tex]

Learn more about the equation here: https://brainly.com/question/24685162

please help?
Find measure of angle C

Answers

Answer:

82

Step-by-step explanation:

Im pretty sure the answer is 82 as it's a striaght line and all you have to do is subtract 180-98

How many days does it take Mercury to orbit the Sun 8 times?

Answers

Answer:

88 days to complete 1 whole orbit so if it orbited 8 whole times around the sun it would be 704

Hope I helped

Answer:

88

Step-by-step explanation:

It's proximity to the Sun also means that it orbits the planet quite rapidly. To break it down, Mercury takes roughly 88 Earth days to complete a single orbit around the Sun.

Sofia saw a sign that all calculators were 20% off the regular price. She determined that if she substituted the price of the calculator she wants (c) into the expression c - 0.2c, she could find the sale price of the calculator after the discount.

What is the expression when written in simplest form?
If the sale price of the calculator was $28.00, what was the original price? Justify your solution.

Answers

Answer:

YOU ARE THE BEST PERSON EVER DONT LET ANYONE TELL YOU DIFFERENT

Step-by-step explanation:

PLZZZZZ HELP ME I'M GIVING BRAINLIEST
w – 8 =5
A. -40

B. -13

C. -3

D. 13

Answers

Answer:

d.13

Step-by-step explanation:

If you bring the 8 to the to the other side and you add to 5 you get 13. Also if you plug in the answer choices you should 13 since it makes the most sense. (13-8=5)

Answer:

w=13

Step-by-step explanation:

Is 30/54 equivalent to 3:5

Answers

Answer:

It is not.

Step-by-step explanation:

See, lets do simplification

30 divided by 10 = 3

54 divided by 10= 5.4

3:5 is not equal to 3:5.4

Find the length of the missing side.

Show work

Answers

Answer:

24 in

Step-by-step explanation:

formula

[tex] \sqrt{(a) {}^{2} - (c) {}^{2} } = b[/tex]

square root (74)² - (70)² = b

square root (5476 - 4900) = b

square root 576 = 24

The pupil is the circular opening that allows light into the eye. An optometrist dilates a patient's pupil from 6 mm to 8 mm. The scale factor under this dilation is ?

Answers

Answer:

4/3

Step-by-step explanation:

Scale factor is a ratio of the length of side in one object to the length of a corresponding side of the other object.

In this case, the scale factor will be the ratio of the new dilated pupil size of the patient to the previous size of the pupil

This will be : 8/6 = 4/3

The scale factor is : 4/3

In the figure, lines I and mare parallel lines cut by transversal p.
Andrea said that if m 2 2 = 40° then m 3 must also be equal to 40°. Which justifies Andrea's statement?
A
Alternate interior angles are congruent.
B. Alternate exterior angles are congruent.
C. Corresponding angles are congruent,
D. Consecutive interior angles are supplementary

Answers

Answer:

The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C

Step-by-step explanation:

If two parallel lines intersected by a line, then there are some pair of angles are formed

Corresponding angles that are congruentAlternate interior angles that are congruentAlternate exterior angles that are congruentConsecutive interior angles that are supplementary

In the given figure

∵ Lines l and m are parallel

∵ They are cut by transversal p

∵ ∠2 and ∠3 are in the corresponding position

→ By using the 1st rule above

∵ Corresponding angles are congruent

∴ ∠2 ≅ ∠3

∴ m∠3 = m∠2

∵ m∠2 = 40°

∴ m∠3 = 40°

The statement which justifies Andrea's statement is "Corresponding angles are congruent"

I really need help with questions 12, if you would like it would be really helpful if you can explain how you got the answer as well, thank you so much!

Answers

Answer: 160 pieces

Step-by-step explanation:

1. Convert each mixed number into an improper fraction

4 4/5 = 24/5

2. Convert to the least common denominator. In this case, the least common denominator would be 10. Since the denominator in 24/5 is 5, multiply this fraction by 2/2 to get the denominator to equal 10.

24/5 * 2/2 = 48/10

3. Divide 48/10 by 3/10, using the keep, change, flip method

48/10 * 10/3

Multiply the numerators and denominators together, respectively.

480/3

4. Simplify

480/3 = 160

There are 160 pieces.

Answer:

8/5 m.

Step-by-step explanation:

1. 4 4/5 = 24/5

2. 24/5 = 48/10

3.48/10 divided by 3/10 = 16/10

4. 16/10 simplified = 8/5

What is the area of this trapezoid

Answers

Answer:

its 30

Step-by-step explanation:

can you please mark me as brainliest

A school bus weighs 15{,}59115,59115, comma, 591 kilograms.
Round the weight of the bus to the nearest thousand.
kilograms

Answers

Answer:

why should anyone care about a school bus

Step-by-step explanation:

Answer: 16000

Step-by-step explanation:

I just need help :) thanks

Answers

Answer:

15m + 50

Step-by-step explanation:

The one-time fee is $50, so this is the constant in our equation.Every month, we pay $15, so this is our variable.

Answer:

15m+ 50

Step-by-step explanation:

The sum of two numbers is 12 and the quotient of those numbers is -4.

Answers

Answer:

16 and -4

Step-by-step explanation:

16 + (-4) = 12

16 / -4 = -4

-6(w+2)=w-9+3(3w+1)
solve for w.​

Answers

Answer:

w = -3/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-6(w + 2) = w - 9 + 3(3w + 1)

Step 2: Solve for w

Distribute:                         -6w - 12 = w - 9 + 9w + 3Combine like terms:         -6w - 12 = 10w - 6Add 6w to both sides:     -12 = 16w - 6Isolate w term:                  -6 = 16wIsolate w:                           -3/8 = wRewrite:                             w = -3/8
The answer is w = - 2/5

How would you solve the equation 3x+6=21

Answers

Answer:

x=5

Step-by-step explanation:

3(5)=15

15+6=21

you would subtract 6 from the left and right side. then it would be 3x=15 so then you would divide both sides by 3 and that would give u x=5

Victoria kicked a soccer ball laying on the ground. It was in the air for 6 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what is the maximum in the context of this problem?
Group of answer choices

(6, 25)

(3, 12.5)

(3, 25)

(20, 3)

Flag this Question

Answers

Answer:3, 25

Step-by-step explanation:

The seconds should be the x-axis and the height is y axis. Also thinking about how a kicked ball makes an arch, the max is 25, and the mid point between 0 and 6 is 3.

The maximum in the context of this problem is 3, 25.

We have given that,

Victoria kicked a soccer ball laying on the ground. It was in the air for 6 seconds before it hit the ground.

While the soccer ball was in the air it reached a height of approximately 25 feet.

Assuming that the soccer ball’s height (in feet) is a function of time (in seconds),

We have to determine what is the maximum in the context of this problem.

What is the maximum?

The definition of maximum is the largest number or highest number of something that is permissible or possible.

The seconds should be the x-axis and the height is the y-axis.

Also thinking about how a kicked ball makes an arch, the max is 25, and the midpoint between 0 and 6 is 3.

To learn more about the soccer ball visit:

https://brainly.com/question/9553935

#SPJ5

12x-7<8+9x for x
please help​

Answers

Answer:

X < 5

Step-by-step explanation:

12x - 7 < 8 + 9x

3x - 7 < 8

3x < 15

x < 5

Hope this helps. Pls give brainliest.

I don’t have a question, just wanna share my cat!

Answers

Answer:

Gimmie cat. Note the tnt block in the back

Step-by-step explanation:

Which of the following is not equivalent to the equation a- 3b = 5c + 9

Answers

Answer:

Answer:when a=1 , b=2, c= -1

Answer:when a=1 , b=2, c= -1Step-by-step explanation:

Answer:when a=1 , b=2, c= -1Step-by-step explanation:1-3(2)= 5(-1)+9

1-6= -5+9

1-6= -5+9-5 = 4

a-3(b) = 5c + 9 is not equivalent

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