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 3/20 as a decimal?

Answers

Answer: 0.15

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

3/20=15% so that means its 0.15

Ratio of boys to girls

Answers

Answer:

→Boys=6

→Girls=14

Step-by-step explanation:

[tex]Solution,\\\\Ratio\:of\:boys\:to\:girls=3:7\\\\Total\:students=20\\\\Let,\\\\\hookrightarrow Boys=3x\\\\\hookrightarrow Girls=7x\\\\Now\:we\: have,\\\\\hookrightarrow 3x+7x=20\\\\\hookrightarrow 10x=20\\\\\hookrightarrow x=20/10=2\\\\Again,\\\\\hookrightarrow Boys=3x=3\times2=6\\\\\hookrightarrow Girls=7x=7\times2=14[/tex]

A large box of strawberris vaires in price.the cost of a box is never graeater than or equal to 10$ the lowest price ever reached for the box of strawberries is 5$. write an inquality to show all the possible prices (P) for a box of strawberries

Answers

Answer:

10 > P ≥ 5

Step-by-step explanation:

inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )

sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )

then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )

A pizza with 24 inch diameter cut into 16 pieces whats the area of each slice

Answers

Answer:

About 28.27 inches² per slice

Step-by-step explanation:

   First, we will find the area of the pizza. Since it is a pizza, we will assume it is a circle and will use the formula for area of a circle.

   24-inch diameter / 2 = 12-inch radius

   A=πr²

   A=π(12)²

   A ≈ 452.39 inches²

   Now, since the pizza is cut into 16 slices, we will divide the total area by 16.

452.39 inches² / 16 ≈ 28.27 inches² per slice

PLEASE ANSWER I DONT KNOW THE ANSWER

Answers

Answer:

option D 201.1km²

Step-by-step explanation:

Area of sector=∅/360×πr²

=90/360×22/7×16×16

=1/4×22/7×16×16

=22/7×64

=1408/7

=201.1km²

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x=21

Step-by-step explanation:

We know that the angles of a triangle has a sum of 180 degrees always. We know two sides already which are 45 and 63. Their sum is 108 degrees which means that the missing side is 180-108 which is 72.

Now we can set 72 equal to 4x-12 since the last side has to equal 72 and solve.

72=4x-12

84=4x

x=21

Hope this helps!!!

What is an equation of the line that passes through the point
(-2,-8) and has a slope of 3?

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Use the point-slope equation since we are given a point that the line passes through and its slope:

y - y1 = m(x - x1)

(-2, -8), m = 3

Substitute these values into the equation.

y - (-8) = 3(x - (-2)) y + 8 = 3(x + 2)y + 8 = 3x + 6y = 3x - 2

The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.

How much money will you have in 6 months if you invest $1000 at 3% compounded monthly?
Answers
Step-by-step explanation

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.

Compound Interest

Given Data

Principal = $1000Rate = 3%Time = 6 months = 0.5 years

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,000.00(1 + 0.03/12)^(12)(0.5)

A = 1,000.00(1 + 0.0025)^(6)

A = $1,015.09

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Please help! this assignment locks at 12 and i will give brainlest!

Answers

Answer:

where is the assignment?

Which point on this number line has a coordinate of 7.47?

Number line from 7.0 to 8.0 with tick marks every 1 one hundredth unit. Tick marks are numbered every tenth unit. Point A is 3 tick marks to the right of 7.3. Point B is 3 tick marks to the right of 7.4. Point C is 7 tick marks to the right of 7.4. Point D is 4 tick marks to the right of 7.7.

Point A

Point B

Point C

Point D

Answers

Answer:

I think it is point D

Step-by-step explanation:

hope this helps if it is wrong please let me now

if the width of a rectangle with periemter is P is 6 units what is its length

write using algebra

Answers

Answer:

L = [tex]\frac{P - 12}{2}[/tex]

Step-by-step explanation:

Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2

Hopefully this helps- let me know if you have any questions!

can sombody help me i am bad at math illl give brainlist tho

Answers

Answer:

A and C are correct

Step-by-step explanation:

Making the decimal value greater than 4.3 or 4.30 will make the statement correct

Answer:

A

Step-by-step explanation:

incomplete statement

4.3 < 4 ← obviously not true

to make the statement true requires the value in the tenths place to be greater than 3 , for example

4.3 < 4.4 ← is a true statement

expand and simplify (x+3)(x+5)

Answers

Answer is ^2+8x+15 and this is how you do it

Answer:

(x+3)(x+5)

x( x + 5) +3 ( x + 5)

x² + 5x + 3x + 15

x² + 8x + 15

Plisss help with this oneeee

Answers

Answer:

y = 1/2 x - 5

Step-by-step explanation:

use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)

the slope is 1/2 and the slope-intercept is -5

Answer:

y=1/2x-5

Step-by-step explanation:

grad=change in y/change in x

=(-4--5)

----------

(2-0)

=1/2

G=0.5

0.5=y--5

------

x-0

0.5 (x-0)=y+5

0.5x=y+5

-y= -0.5x+5

y=1/2x-5

Help pleaseee asaappp
What is the equation of the line below?

Answers

Answer:

y = -x+5

Step-by-step explanation:

m = -1, so y = -x+5

The equation is quite easy m=1 y—5 +1

Just number 1 please and explain

Answers

tanS = 5/12

tanR = 12/5


ur welcome norissa

These triangles are similar. Solve for the scale factor.

Answers

Answer:

Scale factor = 3

Step-by-step explanation:

A - B = 1-3

3 - 1 = 2

A' - B' = 3-9

9 - 3 = 6

6 / 2 = 3

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.

In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.

Answers

The surface area of the box is 1048 square inches

How to calculate the total surface area of the box

The formula for calculating the surface area of the prism is expressed as:

Surface area = 2(lw + wh +lh)

Given the following

l = 20in

w = 8in

h = 13in

Substitute the given parameters'

Surface area = 2(lw + wh +lh)

Surface area = 2(20(8) + 8(13) +20(13))

Surface area = 2(160+104+260)

Surface area = 1048 square inches

Hence surface area of the box is 1048 square inches

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How many cents are in n nickels and c cents?

Answers

Using proportions, it is found that there are c + 0.25n cents in n nickels and c cents.

What is a proportion?

A proportion is a fraction of a total amount. To solve problems involving proportions, such as this one, multiplications of the amounts and their values are made.

In this problem, we consider that each nickel has 0.25 cents, hence, there are c + 0.25n cents in n nickels and c cents.

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c+0.25n cents is the answer.

Leila received 5/7 of 49 votes for the class president. How many votes did she receive?

Answers

Answer:

71.428571%

Step-by-step explanation:

You divide 5 by 7

PLEASE HURRY

Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0

Answers

It would be A or C
I’m not sure if you’re supposed to use brackets or parentheses

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

there is no figure to find the area of

What is the volume of the cylinder below?

Answers

Answer:

[tex]\sf 36\pi \ units^3[/tex]

explanation:

[tex]\sf \pi r^2 h[/tex]

[tex]\sf \pi (3)^2 (4)[/tex]

[tex]\sf 36\pi \ units^3[/tex]

note: the height should be perpendicular from the cylinder's radius.

Answer:

[tex]36\pi {unit}^{3} [/tex]

# Jerry Don is here #

Teleia bought 25 shirts for $237.50. How much would only one shirt cost?

Answers

Answer:

$9.50

Step-by-step explanation:

Divide 237.50 by 25

PLS HELP I UAVE SCHOOL TMR TRY TO EXPLAIN IT IF YOU CAN OR TELL ME THE ANSWER THX

Answers

Answer:

c=0.12m

Step-by-step explanation:

Okay, so to find the relation between minutes and cost is by dividing them, specifically cost over minutes. Cost = x amount of dollars per minute (m). This can be written with any of the given amounts. 60 = x(500) then 60/500 = x = 0.12

A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?

Answers

Answer:

55833 that may answer

Step-by-step explanation:

thanktou

Question 1
The purpose of the sales director's study is to determine whether attending the training program caused an increase in sales
for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training
and those receiving no training) for three months after the one-month program and compared the number of orders secured
by those who attended the training program with the number of orders secured by those who didn't attend.
Part A
? Question
Select the correct answer from each drop-down menu.
because a treatment
applied to the sales
The sales director conducted
representatives
This is the best statistical study for this situation because the sales director is trying to establish

Answers

Based on the above scenario, the sales director conducted  an experiment.

Because a treatment  was applied to the sales representatives.

The the best statistical study for this situation because the sales director is trying to establish correlation.

What is an experiment?

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

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What is the absolute deviation of 30 in this data set?

{26, 35, 27, 30, 22}

2
3
5
8​

Answers

Answer:

The answer is 2

Step-by-step explanation:

I took the k12 test. Hope this helps!

The correct answer is 2

What is mean absolute deviation?The mean absolute deviation  is a measure of variability that indicates the average distance between observations and their mean.

How to calculate the MAD (Mean absolute deviation)?Take the sum of the absolute value Divide the sum of the absolute value by  the total number of values in the data set. Substract the mean after dividing the sum of the absolute value by  the total number of values in the data set.

Now ,  taking the data {26,35,27,30,22}

Adding the data

26+35+27+30+22 = 140

Now , Divide 140 by the total number of values in data set is 5

Therefore,  140/5 = 28

The mean is 28

Now substract the mean from the absolute deviation of 30

that is  30-28 = 2

Hence , The absolute deviation of 30 is data set is 2.

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Craig won first prize in Mrs. Short's class

so he gets to pick a prize from the treasure

box. He doesn't know what he wants, so

he is going to chose randomly. There are

different gift card prizes: fast food, ice cream,

CD's, DVD's, movies, the mall and Carowinds.

If there is an equal number of each card in

the box, what is the probability he will pull out

the gift card for Carowinds?

Answers

Answer: 14%

Step-by-step explanation:

A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown. 7.5 ft 12.5 ft 7.5 ft 12.5 ft What is the area of the garden in square feet?​

Answers

Answer:

215.625 square feet.

Step-by-step explanation:

The best way to approach this is by finding the area of each shape and then adding them together.

The area of a rectangle is Length · Width. Both rectangles have a length of 12.5 feet and a width of 7.5 feet. 12.5 · 7.5 = 93.75. And since both rectangles have the same dimensions, we can just multiply 93.75 by two to get 187.5 square feet for the rectangles.

The area of a triangle is Base · Height / 2. Since the sides of the triangle are the same as the sides of rectangles, the dimensions of the triangle are 7.5 feet and 7.5 feet.

7.5 · 7.5 / 2 = 28.125 square feet.

187.5 + 28.125 = 215.625 square feet.

Hope this helps! :)

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