Find the solution of the system of equations.
8x – 2y = -30
–9x + 4y = 18

Answers

Answer 1

Step-by-step explanation:

8x – 2y = -30 } ×2

16x - 4y = -60

–9x + 4y = 18

___________

7x=-42

x=-6

8(-6)-2y=-30

-2y=-18

y=9

Answer 2

Answer:

(-6,-9)

Step-by-step explanation:

The quickest way is to solve with elimination. Multiply the top equation by 2.

2(8x – 2y = -30)

16x-4y=-60

16x-4y=-60

–9x + 4y = 18

7x=-42

x=-6

8x – 2y = -30

8(-6) – 2y = -30

-48-2y=-30

-2y=18

y=-9


Related Questions

What is 192 rounded to the nearest ten

Answers

Answer:

190

Step-by-step explanation:

192 is closer to 190 than it is to 200, so the answer is 190.

Hope that helps!

Answer:

190

Step-by-step explanation:

192 looking a the ones number (2) if the last number is 5 or higher round up if not go down. therefore 190

Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2

Answers

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

Daniel has read 70% of a book. He has 24 more pages to finish. How many pages are there in the book?

Answers

Answer:

80

Step-by-step explanation:

if he's read 70% then the 24 pages that are left are equal to 30 percent.

so the answer is 80. if you need extra steps don't hesitate to ask.

Which choices are in the solution set of the equation below? Check all that
apply.
4x = 30
A. 8
B. 7.5
C. 8.5
D. 7
E.6.5

Answers

To solve the equation, divide by 4 on both sides to isolate the variable:
4x = 30
4x/4 = 30/4
x = 7.5

Rob needs to mix 4.5 liters of liquid fruit punch concentrate with 0.5
liters of water to make fruit punch. Rob has 13.5 liters of fruit punch
concentrate. How much fruit punch can he make?

Answers

4.5 litres of fruit punch with 0.5 litres of water.
13.5 /4.5 = 3. Multiply 0.5 by 3 to get 1.5 litres of water. Therefore, 13.5 litres of fruit punch concentrate needs 1.5 litres of water. 13.5 + 1.5 = 15 litres of fruit punch in total.

solve pls brainliest

Answers

Answer:

10

Step-by-step explanation:

[tex]\frac{-8}{1}[/tex] * [tex]\frac{-5}{4}[/tex]= [tex]\frac{40}{4}[/tex]= 10

Find a general formula for the nth term of the geometric series with

Answers

Answer:I think it would be the third one

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Ben runs 3/4 mile each day.How many Miles Does ben run in 12 days

Answers

Answer:

9 miles

Step-by-step explanation:

0.75x12=9

or

75x120=90

90/10=9

If Ben runs 3/4 mile each day than he runs 9 miles in 12 days.

To find out how many miles Ben runs in 12 days

we need to multiply the distance he runs each day (3/4 mile) by the number of days (12).

First, let's convert 3/4 mile to a decimal:

3/4 mile = 0.75 mile

Now, we can calculate the total distance Ben runs in 12 days:

0.75 mile × 12 days

= 9 miles

Therefore, Ben runs 9 miles in 12 days.

To learn more on Unit of Measurement click:

https://brainly.com/question/12629581

#SPJ6

I need help with this problem in math I don’t know how to find the y but I know how to get the slope can someone teach me

Answers

Answer:

Use the equation y=mx+b

Step-by-step explanation:

So you know how to get the slop, which is awesome

Now to get y all you have to do is use the equation:

y=mx+b

m being slop

b being y- intercept in this case being 2

so you have y=-2x+2

all you have to do is insert different x values and solve the equation for y and see if they match up together in any of the tables

12. You have $10 to spend on charms and stickers. The equation
0.5x + 0.25y = 10 represents this situation, where x is the number
of charms and y is the number of stickers. How many stickers can
you buy when you do not buy any charms?

Answers

Answer:

40

Step-by-step explanation:

the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers

10/.25=40

hope this helps

The circumference of a circle is 6.28 millimeters. What is the circle's radius?

Use 3.14 for ​.​

Answers

Answer:

Solution

Circumference=6.28

R=?

Circumference of Circle=2πr

or,6.28=2×22/7×r

or,r=0.99

Therefore, The radius is 0.99 mm2

I think it will help you.

Find the 7th term of the geometric progession which begins 2, -6, 18

Answers

Answer:

The 7th term of this geometric progression is -486

please help me please

Answers

Answer: 8  x 2 = 4

1 x 4 = 4

9 x 3 = 27

2 x 4 = 8

Step-by-step explanation:

Help, me and my partner are timed, no links thx

Answers

Answer:

9/12

Step-by-step explanation:

There are 3 pies, the total amount of slices before they were eaten is 12. If you add the slices left..3+3+3 that would be 9

Answer:

D: 2 1/4

Step-by-step explanation:

I'm not really sure though. But since there are 3 apple pies if you take one slice from one of the pies and add it to another pie it will make one whole pie and then after there is one whole pie you do the same to another pie and their is 2 whole pies and their is one slice remaining and there is 4 whole slices in a whole pie so there fore I'm guessing that the answer is 2 1/4

I hope that helped. :)

a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot

Answers

Answer: 3570$

Step-by-step explanation:

5 x 6 = 30

30 x 119 = 3570

Two number cubes are rolled what is the probability that both cubes land on 1

Answers

Answer:

[tex]\frac{1}{36}[/tex]

Step-by-step explanation:

The probability of having 1 is 1/6.

The probability of it happening twice in a row is 1/6 * 1/6 = 1/(6*6)=1/36

Juan has forty dollars in his jacket. Every day he spends half of the money that is in the jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what day will he start with less than $3.00 in his jacket?
A) Friday
B) Thursday
C) Tuesday
D) Saturday

Answers

Answer:

Friday

Step-by-step explanation:

Monday he is left with 20,

Tuesday he will start with 20 and end with 10

Wednesday he will start with 10 and end with 5

Thursday he will Start with 5 and end with 2.5

Friday Start with 2.5

which is >3

MARK ME AS BRAINLIST

Answer:

D) Friday

Hope it helps...

2. You bought 8 bags of gummy bears and they cost $2.79 each. How much did
the gummy bears cost after you included the 8% sales tax?
Your answer

Answers

it would be $25.52, i’m pretty sure this is right, i’m sorry if it isn’t!!

Answer:

$24.11

Step-by-step explanation:

Find the total price of the gummy bears by multiplying the 2.79 each bag by the 8 bags. 2.79×8=22.32.Convert the percentage into a decimal. Move the decimal place that is after the 8% (same as 8.0% if you need to visualize the location of the decimal) to 2 places to the left. This means your decimal is 0.08.Multiply the decimal by the total untaxed cost from the first step. This will give you the tax. 22.32×0.08=1.7856, which rounds to currency of 1.79. Add the tax and the untaxed total together to get the grand total. 1.79+22.32=24.11Your answer is $24.11

The baker used 18 eggs for 5 cakes. How many eggs were used per cake?

Answers

Answer:

3.6 eggs

Step-by-step explanation:

You would divide 18 by 5 to find how much eggs used per 1 cake.

18 ÷ 5 = 3.6

Answer:18 x 5 so that would make it 90.

I think that's correct.

Ill give brainliest
and 45 points

Answers

Answer:

B. 2 3/4 lbs

Step-by-step explanation:

there ar 16 ticks on a scale, the pointer is on 12, meaning it is 12/16, whihc is answer b

Answer:

its b

Step-by-step explanation:

looked it up

K(-3, 0), I(0, 2), and T(3, 0) are three vertices of a kite. Which point could be the fourth vertex?

Answers

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2).

How to determine the fourth vertex of a kite

A rhomboid is a quadrilateral with two pairs of sides of equal length and two pairs of equal angles. A kite is a rhomboid whose vertices observe the following properties: [tex]P_{1} (x, y) = (-x, 0)[/tex]. [tex]P_{2} (x,y) = (0, y)[/tex], [tex]P_{3}(x,y) = (x, 0)[/tex], [tex]P_{4}(x,y) = (0, -y)[/tex].

In this question we must determine the coordinates of the fourth vertices according to the kite characteristics. After a quick comparison in the known points, the coordinates of the fourth vertex are E(x,y) = (0, -2).

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2). [tex]\blacksquare[/tex]

To learn more on rhomboids, we kindly invite to check this verified question: https://brainly.com/question/9335456

These graphs show the cost C for ordering n homecoming dance invitations from two doffer Companies

Answers

Do you have a picture of the mathmatic problem?

Find the hypotenuse, , of the triangle

Answers

Answer:

hypoténuse =  15  in

b ² = 15² - 9²

b ² = 144

b = √144 = 12

Perimeter =  15 + 9 + 12 = 36 inches

Step-by-step explanation:

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the missing side of the triangle.

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

We should find the leg of this right triangle, not the hypotenuse.

The hypotenuse, the longest side, is already given to us.

We can find it using Pythagoras' Theorem:

[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].

We know b and c, we need to find a.

[tex]\bf{a^2+9^2=15^2}[/tex] | square

[tex]\bf{a^2+81=225}[/tex] | subtract 81

[tex]\bf{a^2=144}[/tex] | square-root both sides

[tex]\bf{a=\pm12}[/tex]

And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

             [tex]\bf{a=12}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

please Help me, please :)

Answers

Answer:

i believe the  answer to this is (C)

Step-by-step explanation:

Jesse and mark are jogging along the route shown at a rate of 12 miles per hour. they start by jogging south along capitol street for 1 mile, then turn east on h street and jog for 1.75 miles. at that point, jesse is tired and decides to walk home along florida avenue at a rate of 5 miles per hour. mark plans to jog back the way they came. jesse wants to find out who will arrive home first and by how much time. which statements should he consider when solving the problem? check all that apply. a triangle. the sides are capitol street, h street, and they hypotenuse is florida avenue. jesse will walk home a distance of approximately 2.0 miles as found by evaluating 1 squared 1.75 squared = d squared and then 1 3.0625 = d squared. jesse will take about 0.4 hours to walk the rest of the way home as found by 2.0 = 5 (t). jesse will walk home a distance of approximately 2.25 miles as found by 1 squared 1.75 squared = d squared and then 2 3.0625 = d squared. mark will jog home a distance of 2.75 miles. it will take mark about 0.23 hours to jog home as found by 2.75 = 12 (t). mark will jog home a distance of 2.25 miles. mark will get home about 0.17 hours (or 10 minutes) sooner. mark will get home about 0.21 hours (or 12.5 minutes) sooner.

Answers

Answer:

I the person above is correct.

Step-by-step explanation:

Answer:

1,2,4,5, and 7

Step-by-step explanation:

edge 2022

and Intervention
1. The library is 5 miles from the post office. How many yards is the library
from the post office?
yards

Answers

8800 yards. I think, not sure.

If x=3, y=-2, z=-1 ,find the value of 3x-4y+z
I really need help

Answers

Answer:

16

Step-by-step explanation:

Since, x=3, y=-2, z=-1

We can Substitute:

3(3)-4(-2) + -1

9 -4(-2)+-1

9 + 8 + -1

17 - 1

16

~Lenvy~

A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.

Answers

Answer: D

Step-by-step explanation:

help on this please.

Answers

Answer:

x = 46°

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then

x + 134° = 180° ( subtract 134° from both sides )

x = 46°

In August, 6.35 inches of rain fell. In September, 10.2 inches fell. In both October and November, 5.85 inches fell. How much rain fell from August through November?

A: 13.22 inch
B: 19.07 inch
C: 22.4 inch
D: 28.25 inch​

Answers

Answer:

28.25

Step-by-step explanation:

simple addition
6.35 + 10.2 + 5.85 + 5.85 = 28.25

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