Slove system of equation.

2x - 6y = 8
-3x + 9y = 12

Answers

Answer 1
answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y

Related Questions

Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?

Answers

Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

The Olympic record for the most points in springboard diving is 905.02. The gold medal winner in 2008 scored 572.9. How many more points is the record to the gold medal winner of 2008?

Answers

Answer:

332.12

Step-by-step explanation:

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,699 was collected on the sale of 1,179 tickets. How many of each type of ticket were sold?

Answers

Answer:

Step-by-step explanation:

The Answer 3182121

What is the slope of the line that passes through the points (9, 1) and (17, 2)

Answers

Answer:    The slope is 1/8

Step-by-step explanation:

Full equation = ( y = 1/8x-1/8)

Step-by-step explanation:

Slope = y2-y1/x2-x1

= 2-1/17-9

=1/8

=0.125

Peter says if you subtract 16 from my number and multiply the difference by negative 5 the result is negative 50 what is peter's number?

Answers

Answer:

Below.

Step-by-step explanation:

If n is the required number:

(n - 16) * -5 = -50

-5n + 80 = -50

-5n = -50 - 80

-5n = -130

n = -130 / -5

n = 26 (answer).

Hi! I'm 12 years old trying to move up in maths, does anyone have any tips about any one of these topics?

- Bearings
- Number scales
-Ratios
-Proportionally calculating quantities to recipes (??)
-Averages
-Times tables in general

Thank you so much if you decide to answer this!! Im trying to become a barrister when im older:)

Answers

Answer:

For number remember that the negative number are smaller, but if it question like this which one is bigger -5 or -6 will -5 will be the answer because it is not smaller than -6. For ratios just remember divide or number of something like there are 3 to 8 child in the classroom then thee ratios would be 3:8. Lastly for the times tables learn all of your times tables like your favorite game, so things will be easier on you.

For each of the following solids, find
1.
the volume,
(i) the total surface area,
of the solid.
(a)
(b)
24 cm
26 cm
1.2 m
0.5 m
50 cm
2.5 m
-PB
1.2 m
+20 cm
d
e
e
(c)
(d)
e
a
3.5 m
3.5 m 4m
40 cm
3.5 m
b
40 cm
and

Answers

Answer:

this is so easy and the answer of this all questions is54

Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.

Answers

Answer:

No, because 2x3 - 1 =5, which proves it is incorrect

Step-by-step explanation:

Which expression shows the number 19.65 correctly decomposed?

19 + 0.6 + 0.05
10 + 9 + 0.6 + 0.05
10 + 0.6 + 0.05
19 + 9 + 0.6 + 0.05

Answers

Answer: 10 + 9 + 0.6 + 0.05

Answer:

..............................................................

Step-by-step explanation:

..........................................................................

..........................................................................

PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.

Answers

Answer:

Step-by-step explanation:

y = 5x - 2

5x = y + 2

x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]

y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2

5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions

A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?

Answers

Answer:

7/10

Step-by-step explanation:

There are 10 people in total and 7/10 of them are nurses

or 0.7 out of 1 probability

Could somebody help me with this problem

Answers

Answer:

  72.8 cm³

Step-by-step explanation:

The relevant formula is ...

  V = Bh

Using the given values, you find the volume to be ...

  V = (10.4 cm²)(7 cm) = 72.8 cm³

50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots

Answers

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Option 1. -3,-1,1,3 is correct option

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

What is the sale price?
30 pts

Answers

Answer:

Sales Price = $8.75

Step-by-step explanation:

Original Price - Discount = Sale Price

=> 12.50 - 3.75 = Sales Price

=> Sales Price = $8.75

Hoped this helped.

Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?


Answers

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.

a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced

b. Express the total expenso E in terms of p.

c. Determine the Revenue R in terms of p. (Hint: R=p•q).

d. Determine the profit P in terms of p. (Hint: P=R-E).

e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).

f. Determine the maximum profit.

Answers

Revenue, profit and expenses are all integral parts of a company's balance sheet

The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160

The expense function is given as:

[tex]\mathbf{E = 8q + 12000}[/tex]

The demand function is given as:

[tex]\mathbf{p = -10p + 20000}[/tex]

(a) The expense in terms of q

This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]

(b) The expense in terms of p

Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]

[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]

Expand

[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]

[tex]\mathbf{E = -80p + 172000}[/tex]

(c) The revenue in terms of P

This is calculated as:

[tex]\mathbf{R = p \times q}[/tex]

So, we have:

[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]

Expand

[tex]\mathbf{R = -10p^2 + 20000p}[/tex]

(d) The profit in terms of p

We have:

[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]

So, the profit P is calculated as:

[tex]\mathbf{P =R - E}[/tex]

This gives

[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

(e) The price that yields maximum profit

In (d), we have:

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

The maximum price is calculated using:

[tex]\mathbf{p = -\frac{b}{2a}}[/tex]

Where:

[tex]\mathbf{b =20080}[/tex]

[tex]\mathbf{a = -10}[/tex]

So, the equation becomes

[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]

[tex]\mathbf{p = 1004}[/tex]

Hence, the price that yields the maximum profit is $1004

(f) The maximum profit

In (e), we have: [tex]\mathbf{p = 1004}[/tex]

Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]

[tex]\mathbf{P =9908160}[/tex]

Hence, the maximum profit is $9908160

Read more about revenue, expenses and profit at:

https://brainly.com/question/23103804

What is the result when the number 10 is increased by 20%?

Answers

Answer:

1.20 percent

Step-by-step explanation:

Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?

Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.​

Answers

Answer:

Paula jogs more by 0.1113636 miles or 600 feet.

Step-by-step explanation:

formula for feet to miles; 5280 / f.

2700 / 5280 = 0.5113636363636

0.113636363636 x 5280 = 600 feet.

Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next

Answers

Answer:

  D. (-3, 26)

Step-by-step explanation:

The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)

We can rearrange the first equation to give an expression for y:

  y = 17 -3x

This can be substituted into the second equation to give ...

  x +2(17 -3x) = 49

  -5x +34 = 49 . . . . . . simplify

  -5x = 15 . . . . . . . subtract 34

  x = -3 . . . . . . divide by -5

Then the value of y is ...

  y = 17 -3(-3) = 26

The single solution is (x, y) = (-3, 26).

us

What is the dividend yield on Stock A that sells at

15 $/share, when Company A pays a quarterly

dividend of $0.15 per share?

dividend yield = [?] %

Give your answer as a percent rounded to the

nearest tenth.

Fnter

Answers

Answer:4

Step-by-step explanation: $0.15 x 4 = 0.6

0.60 divide by 0.15

= 4.

The cube less the square of a number is twice the number. If x is a positive integer, what is its value

Answers

Answer:

2

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

Solve the literal equation for x.

k= nx - 3x

Answers

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

k=x(n-3)
k/(n-3)=x
there ya gooooo

y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.

Answers

Answer:

24

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionality

Given:

y is 20 when x is 28

Find k:

20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4

Find y when x = 39:

y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24

help!!!


i will give a brainliest!!

Answers

Answer: is 1 and 3

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

The correct answer choice is option B

Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14

Answers

i’m pretty sure it’s D, since 11 and a letter wouldn’t make since

Write the word sentence as an inequality.

A number b
multiplied by −5
is at most −34
.

Answers

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

Laura wants to play a game in which each player gets 4 cards. She has a total of 29 cards. How many people can play? How many cards will be remaining?​

Answers

Answer:

Only 7 people can play and 1 card will remain

Step-by-step explanation:

Answer:

7 people can play

Step-by-step explanation:

there will be 1 card remaining

PLZ Mark Brainliest

HELP 10 POINTS + BRAINLIEST Determine the equation of the line shown in the graph:
y=0
x=0
y=5
X=5

Answers

Answer:

y=0

Step-by-step explanation:

the x coordinate is 5 and the y coordinate is 0 because the line does not move up the y axis

Answer:

your question is a little messed up.

the equation for the blue line is x = 5

y=x if you're looking for an equation that satisfies (0,0) and (5,5)

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