What is the value of x in the solution to the system of equations below?
15x - 12y = 13

30x + 9y = 4

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3


Related Questions

What is the solution for x in the equation?

29 + 15x = -x − 3

A. x= 1/2

B. x= -1/2

C. x= 2

D. x= -2

Answers

Answer:

x=-2

Step-by-step explanation:

someone do these please!

Answers

Answer:

I think the first option is better.

Step-by-step explanation:

First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900

And 6.55 of $5000 is 325. 325 * 36 = 117000

If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.

HOPE THIS HELPED.

IF IT DOESN'T PLEASE COMMENT.

The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
decisions are worth 4 points. Write an equation to represent this situation.

Answers

Answer:

6p + 4d = 36

Step-by-step explanation:

If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.

Hope this helps!

What is valué of the x-coordínate that is 9 units to the left (5,-8)

Answers

Answer: -4

Step-by-step explanation:

Can someone help me please thanks.

Answers

Answer:

1/125

Step-by-step explanation:

(1/5)³ = 1/125

1³ = 1

5³ = 125

Answer:

Step-by-step explanation:

this looks like  1/5 * 1/5 * 1/5

multiply the tops ( numerators) and the bottoms (denominators)

tops are 1

bottoms are 125

1/125  

:)

what is the formula for finding missing angles of a triangle

Answers

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

A woman weighed 100 pounds 5 years ago. This year, the woman weighs 115 pounds. What percent increase is this?

Answers

Answer:

15 Percent

Step-by-step explanation:

In function for every input there is exactly one output

Answers

Answer:

It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true

Please explain how to do this

Answers

Answer:

You do this by finding the area by each rectangle then the area of the quarter of the circle? (dont know what to call it) Then add it and round to the nearest tenth

Step-by-step explanation:

-1/6 + 4/5 Write your answer in simplest form

Answers

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

Brainliest to RIGHT answer

Answers

Answer:

Calculate the slope Take two points So 3x is the slope 0=3(-2)+b b = 6 y=mx+by=3x+6 Give brainlist

Help !!! ANYBODY PLEASE HELP IM BEGGING U

Answers

Answer:

Step-by-step explanation:

Blue- x+10y-10z

1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
PLEASE HELP

Answers

Answer: Q1.=145, Q2.=20

Step-by-step explanation:

two supplementary angles equal 180

1. 180-35=145

2 . complementary angles , both add up to 90

90-70=20

HELPPPPPPPPPPPPPPPPPPPPPPPP

Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?

A.
x + 3

B.
x2

C.
x – 3

D.
x – 2

Answers

i believe the answer is C, x-3.

I WILL GIVE BRAINLIEST!!!!
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.

What is the best prediction of the hummingbird population in the year 2016?

Enter your answer, rounded to the nearest integer, in the box.

The hummingbird population will be

Answers

Answer: 4983

Step-by-step explanation:

Initial population P=5500

Population declining at the rate of 1.4%

So, in the year 2010 population is

[tex]P=5500-5500\times1.4\%=5500(1-1.4\%)[/tex]

For the year 2011

[tex]P=5500(1-1.4\%)^2[/tex]

similarly, for the year 2016

no of years passed 2016-2009=7 years

[tex]P=5500(1-1.4\%)^7[/tex]

[tex]P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983[/tex]

A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 44 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

You bought 3 hardcover books and 4 paperback books.

Step-by-step explanation:

8×3+5×4=44

The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit Inverse Variation (1,4) (2,2) (8,0.5) (16,0.25)

Answers

Answer: true

Step-by-step explanation:

What’s the answer to this?

Answers

Answer:

I would say the answer is c p=6n+18 because im thinking you are dealing with input-output

Step-by-step explanation:

HELPPP!!!!!!!!!!!!!!!! PLEASE! :D

Answers

Answer:

The solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

Step-by-step explanation:

Given the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

solving the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex]

[tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]

solving

[tex]4x-1\le \:5x[/tex]

Add 1 to both sides

[tex]4x-1+1\le \:5x+1[/tex]

Simplify

[tex]4x\le \:5x+1[/tex]

Subtract 5x from both sides

[tex]4x-5x\le \:5x+1-5x[/tex]

simplify

[tex]-x\le \:1[/tex]

Multiply both sides by -1 (reverse inequality)

[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]

Simplify

[tex]x\ge \:-1[/tex]

Similarly solving

[tex]5x\le \:3\left(x+2\right)[/tex]

Subtract 3x from both sides

[tex]5x-3x\le \:3x+6-3x[/tex]

Simplify

[tex]2x\le \:6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]

Simplify

[tex]x\le \:3[/tex]

So combine the interval

[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]

Merge overlapping intervals

[tex]-1\le \:x\le \:3[/tex]

Therefore, the solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?

Answers

Answer:

819

Step-by-step explanation:

We solve the above question using simple interest

The formula for the total amount in a bank amount when it earn simple interest annually is:

A = P(1 + rt)

When

P = Initial amount in the account = 780

r = Simple Interest rate = 2.5% = 0.025

t = 2 years

A = 780(1 + 0.025 × 2)

A = 780(1 + 0.050)

A = 780(1 .050)

A = 819.00

The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.

Round 60958 correct to 1 significant figure

Answers

The answer is 60000 because it is only to 1sf

Answer:

60,000

Step-by-step explanation:

Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?

Answers

The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Equation of a circle

The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.

How to find the equation of a circle for the given condition?

The radius of a circle is 5.

Also, the center of a circle is (h,k) = (6,-2)

So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]

Simplify further the above equation.

[tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Hence, option (D) is correct.

Learn more about the equation of a circle here-

https://brainly.com/question/10618691

#SPJ2

Solve the inequality.
-4(2n-6)

Answers

Answer: -8n + 24

Step-by-step explanation:

-4(2n-6)

-8n + 24

Answer:-8n+24

Step-by-step explanation:

7th grade math please help me will give brainliest

Answers

Answer: 67.27

Step-by-step explanation:

7.1 x 7.1 for the square = 50.41

7.1 divided by 2 = 3.55

3.55 x 4.75= 16.86

Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same

Add the 50.41 and the 16.86 and you have your answer!

Answer:

16.86 square units

Step-by-step explanation:

I think this is the answer.

Find the angle represented by x. (rounded to the nearest tenth of a degree)

Answers

X=.5 digressed bsquare +.2= 11.23987

Solve the equation: 3(x + 2) = 40.2 *
please help

Answers

Answer: x=11.4

Step-by-step explanation:  3(x+2)=40.2

(3)(x)+(3)(2)=40.2

3x+6=40.2

3x+6−6=40.2−6

3x=34.2

3x /3 = 34.2 /3

x=11.4

Describe the translation

Answers

Answer:

D

Step-by-step explanation:

-2 --> 2 = +4

5 --> - 3 = -8

<4, -8>

hi, can you please solve that ?

Answers

Answer:

A.

Step-by-step explanation:

You need to solve for p on both inequalities.

4 ≤ p - 8

12 ≤ p

p - 14 ≤ 2

p ≤ 16

This means that p is greater than or equal to 12 but less than or equal to 16.

12 ≤ p ≤ 16

Therefore, the answer is A.

The answer is A :)

-hope it helped

I need help please i need step by step help

Answers

Mmmmbrntnrjneuneunre unenriched
The first one is 3x + 7x = 3
10x = 3
The second one is x^2-2x + 15x = 3
x^2 + 13x = 3

find the nth term of 8, 2, -4, -10,... then find A50

Answers

Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

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