use elimination to solve the system of equations 9x-2y=30 and x-2y=14

Answers

Answer 1

Answer:

Step-by-step explanation:

9x - 2y = 30

x - 2y = 14

9x - 2y = 30

-x  + 2y = -14

8x = 16

x = 2

2 - 2y = 14

-2y = 12

y = -6

(2, -6)


Related Questions

Hey, can someone help me with this question?

Answers

Step-by-step explanation:

A = P(1 + r)^t

£5263.73 = £4000(1 + 0.01x)^7

(1 + 0.01x)^7 = 1.3159325

1 + 0.01x = 1.04

0.01x = 0.04

x = 4.

The value of x is 4.

A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?

A. $2.35

B. $3.85

C. $5.45

D. $6.95

Answers

I think it’s $3.85 so B

A store receives customer satisfaction ratings that range between 0 and 100. In the first 13 ratings the store received, the average customer satisfaction rating was 75. What is the least value the store can receive for the 14th rating and still be able to have an average of at least 84 for the first 21 ratings?

Answers

Answer:

Step-by-step explanation:

From the given information:

For the first 10 ratings, the average value is 75.

For maintaining the average of 84 ratings for the first 21st rating, we have:

Total rating for 21 units = 84 * 21 = 1764

For 10 units = 84 *10 = 840

Now, the initial 10 unit average = 75 * 10 =750

The first 10 unit + last 10 unit = 840 + 750 = 1590

The difference = 1764 - 1590 =174 unit

So, in the 14th rating, he has to go with 174 units.

Multiply the polynomials: (x – 4)(x2 + 2x – 5)

Question 16 options:

A)

x3 + 6x2+ 3x – 20

B)

x3 + 6x2 + 3x + 20

C)

x3 – 2x2 – 13x – 20

D)

x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:

A)

7x3 + 14xy

B)

x3 + 4xy

C)

7x3 + 14xy + 16y

D)

x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:

A)

x = –5, x = 4∕5

B)

x = –4∕5, x = 5

C)

x = 4∕5, x = 5

Answers

Step-by-step explanation:

Hey there!

Given;

[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]

[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]

[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]

[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]

Therefore, Option D is correct answer.

Q.no.

Given;

[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]

[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]

[tex] = {x}^{3} + 4xy + 16y[/tex]

Therefore, answer is Option D.

Qno.

Given;

[tex]5 {x}^{2} + 29x + 20 = 0[/tex]

[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]

[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]

[tex]5x(x + 5) + 4(x + 5) = 0[/tex]

(5x + 4)(x + 5) =0

Either (5x+4)= 0,

5x = -4

X = -4/5

Or, X+5 = 0

X = -5.

Therefore, X= -5, -4/5.

Hope it helps....

SOLVE FOR X. pls i need help

Answers

X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x

What expression is equivalent to 24x - 9​

Answers

Answer:

3(8x-3)

Step-by-step explanation:

Which is the measure of ∠XYZ?

Answers

Answer:

you get the measure of angle XYZ by adding the measures of angles XY? and ZY?

70 +35 = 105 degrees is the measure of angle XYZ

Ashley ran from home to school in 10 minutes. what has her average speed, if the distance between her house and her school is 1.5 miles?​

Answers

Answer:

0.15 miles per minute

Step-by-step explanation:

Average speed is in distance over time, so you could write:

1.5 miles / 10 minutes

Now, simplify:

.15 miles per minute

(hope this helps :-D)

Answer:

.15 miles per minute

Step-by-step explanation:

what is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15​

Answers

Answer:

mean: 19.66667

mode: 12

median: 18

range: 37

Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?

Answers

Answer:

5.50x = 6,850

Step-by-step explanation:

Each ticket costs $5.50, and the total is $6,850.

Hope this helps! :)

What is the depth of the soup ( the area shaded) 20cm is the diameter?

Answers

Answer:

8 cm

Step-by-step explanation:

Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-

⇒ cos 37° = AB / AC

⇒ cos 37° = AB / 20 cm

⇒ 4/5 = AB / 20 cm .

⇒ AB = 4/5 * 20 cm .

AB = 16 cm .

Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .

Hence the depth of the soup is 8 cm .

Wich quadrilaterals always have consecutive angles that are supplementary

Answers

Answer:

PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.

Step-by-step explanation:

The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The quadrilaterals which have supplementary consecutive angles are called Parallelogram.

A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.

The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.

Learn more about parallelogram;

https://brainly.com/question/28854514

#SPJ2

Please help ASAP!!!!

Answers

Answer:

E. All real values of x

Step-by-step explanation:

If you were to graph this function, it would look like a diagonal line going on seemingly forever. Therefore, the domain of h would be all values of x.

What is 5x-2y=4 6x+3y=-6

Answers

Answer:

x = 0 , y = -2

Step-by-step explanation:


What is the congruence method you will use to show that the triangles are congruent?

A) SSS
B) SAS
C) ASA
D) AAS

Answers

The answer would be SSS or Side-Side-Side.
A. SSS because congruent means all sides are the same

5/6 / 1/3 equals what ​

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

[tex]\frac{a}{b}[/tex]

[tex]\frac{c}{d}[/tex]

The division:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]

can be done by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are given the fractions 5/6 and 1/3. Their division is:

[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]

Simplifying:

[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]

Answer: [tex]\mathbf{\frac{5}{2}}[/tex]

Solve the inequality. Graph the solution.
p-4<2


help plz

Answers

Answer:

the inequality would be p<6

the graph is below.

Step-by-step explanation:

Here's how to solve the equation:

p-4<2

add 4 to both sides

p<6

The English translation of the inequality would be "p is less than 6".

please see below for the graph.

Hope this helps! :)

how do you find the quadratic equation to a graph like this

Answers

Answer:

b²-4ac=0

Step-by-step explanation:

x=-b+0/2a

so,x=-b/2a

a local club lottery offers a standard prize of $50 and there is one drawing each week. If there is no winner drawn, the prize triples for the following week. This pattern continues until the prize is won. If no wins in the first 5 weeks, how much will the prize be for week 6?

Answers

Answer:

300

Step-by-step explanation:

Every week you add 50 so 50x6 is 300

One by one, without spaces, Ivan wrote the numbers from 1 to 100. Which digit is in the 100th place?​

Answers

yes you are correct need points

Solve this equation
S=5t+45

Answers

Answer:

t= 1/5s-9

Step-by-step explanation:

use math papa next time ;)

The sum of 1 and a number x

Answers

9515 1404 393

Answer:

  1 + x

Step-by-step explanation:

A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...

  1 + x

PLEASE help me. thank you

Answers

Answer:

Each paper weight is half a pound

Step-by-step explanation:

convert 60mph to feet per minute

Answers

ummmmmmmmmmmmmmmmmmmmmm

Barbara bought a new mango tree and planted it in her backyard. She drew the table below to show the growth of her new tree

Based on the table, Barbaras tree is growing at the rate of what per year?

A 122.3 cm per year

B 2.3 cm per year

C 2 cm per year

D 1.2 cm per year

Answers

Answer:

2.3 cm per year

Step-by-step explanation:

Answer:

2.3 cm

Step-by-step explanation:

algebra 2!! please help im begging. i don’t understand this at all. thank you!

Answers

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

Choose all the expressions that are equivalent to 3(2 + 11)
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22

Answers

6+33 and 3(2)+3(11) are the correct answers.

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.

Answers

Answer: the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%  

therefore the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%  

Write an equation of the line that
passes through the points (0,-5)
and (4,7).

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

It passed through both points because of the y intercept and also the x intercept or contant matches up with the points

Ravi buys pounds of flour. How many ounces of flour does he buy?

Answers

There is 16 ounces in each pound, how ever many pounds it is multiply 16 by the number of pounds,

Step-by-step explanation:

how ever many pounds it is multiply 16 by the number of pounds,

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