Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.

Answers

Answer 1

Answer:

- 5/4

Step-by-step explanation:

Answer 2

Answer:

x=4 and y=5 commonly notated as (4,5)

Step-by-step explanation:

The equations

Equation 1: 3x+3y=27

Equation 2: x-3y= -11

The second equation looks like it will be the easiest to rearrange.

x-3y = -11

add 3y to each side to get

x = 3y-11

Substitute that in for x in equation 1 so

3x+3y=27

turns into

3(3y-11) +3y =27

multiply out to get

9y-33+3y =27

Condense variables

12y-33=27

add 33 to each side

12y= 60

Divide by 12

y = 5

Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)

Equation 1: 3x+3y=27

Plug in what we got for y

3x+3(5)=27

multiply

3x+15=27

subtract 15 from each side

3x=12

divide by 3

x=4

Equation 2: x-3y = -11

Plug in what we got for y

x-3(5) =-11

Multiply

x-15= -11

Add 15 to each side

x=4


Related Questions

5. Solve the system, show all work. (3 points)
+
s y=x+7
y = 6x + 2
Solution:
How do you solve this

Answers

Step-by-step explanation:

y=x+7........eqni

y=6x+2.....eqnii

putting the value of x in eqnii

y=6x+2

or, x+7=6x+2

or, 7-2=6x-x

or 5= 5x

hence,x=1

sbstutuung the value of x in eqni,

y= x+7

=1+7

=8

hence the value of y is 8

Original price: $110; Markdown: 34%

Find the retail price

Answers

$72.6 is the marked down price


What is the equation?
Slope = -3 and passes through (4, -6)

Answers

Answer:

y=-3x+6

Step-by-step explanation:

how do I find the perimeter of a triangle​

Answers

Answer:

Step-by-step explanation:

Add up all three side lengths

Answer:

Add up all the side lengths (3) of the triangle.

Step-by-step explanation:

Find the distance between Q(1,-5) T(9,1)

Answers

Change in y: 6
Change in x 8
Root of 8^2 + 6^2 = 10

PLEASE HELP ME! THIS ASSIGNMENT WAS DUE YESTERDAY!!
I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!

Alyssa invested a total of $1500 in two accounts. One account paid 2% annual interest, and the other account paid 4% annual interest. After one year, Alyssa earned a total of $44 interest. How much did she invest in each account? $# in 2% account, $# in 4% account

Answers

Answer:

700$ at 2% 800$ at 4%

Step-by-step explanation:

x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.

0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.

Now use elimination method.

x+y=1500(-0.02)=-0.02x+-0.02y=-30

0.02x+0.04y=44

Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply. Arc GF is a major arc. One major arc is Arc G H E. Arc FE is a minor arc. The measure of Arc F E is 41°. The measure of Arc G C F is equal to the measure of ∠GDE. Arc GHE is a semicircle.

Answers

Answer:

B

C

D

Step-by-step explanation:

Answer:

B, C, D

Step-by-step explanation:

One major arc is Arc G H E.

Arc FE is a minor arc.

The measure of Arc F E is 41°.

Which function is equivalent to g\x)= x + 15x -547
Help plzz

Answers

B is equivalent to the equation

the answer would be B.

3100 people attended a basketball game. 682 of the people attending supported the home team, while 2418 supported the visiting team. What percentage of people attending supported the home team

Answers

I believe the answer is 22%

Answer:

Its going to be 22

Step-by-step explanation:

how many toothpicks are needed to build the tree on day 100?​

Answers

Answer:

100 x 4 = 400 - 91 = 309

Step-by-step explanation:

Answer:

100= 4 + 3 (100-1)

4+3 (99)

4 + 297 is 301

Step-by-step explanation:

The first row starts with 4 toothpicks, and they increase by +3 in each row.  The first tree is already accounted for which makes the 4 + 3, and why I have 100-1.  The teacher said the answer was correct but I doubted the equation.  Can you tell me if this is correct?

The table shows the result of spinning a color spinner (purple, blue, white and green) in two different experiments.

image

Using the results in the table, what is the probability of a spinner landing on purple (P) in Experiment A and a spinner landing on green (G) in Experiment B?

A.
image

B.
image

C.
image

D.
image

Answers

Answer:

The answer is 3/100 I hope this helps :)

Step-by-step explanation:

the answer is 3/100

Please help will give Brain!!

Answers

yes i think because i think so

Answer:

Yes

Step-by-step explanation:

Their sides are similar proportionally and the 60 degrees + 120 degrees makes 180 degrees meaning the OTHER angles match

how do you figure out the y-intercept on this graph?

Answers

Look at the y-axis. Wherever the line is crossing the y-axis is where your y-intercept is. For that specific graph, the y-intercept is 75.

Answer:

75

Step-by-step explanation:

Look for where the line passes through the y-axis. If the line doesn't go through the y-axis, like in this case, look for where the line starts on the y-axis.

Decide whether ABCD with vertices A (3,8) B (6,5) C (5,4) , and D (2,7) is a rectangle a rhombus or a square

Answers

Given:

The vertices of the quadrilateral ABCD are A(3,8), B(6,5), C(5,4), and D(2,7).

To find:

Whether the given quadrilateral is a rectangle, a rhombus or a square.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the side lengths are:

[tex]AB=\sqrt{\left(6-3\right)^2+\left(5-8\right)^2}[/tex]

[tex]AB=\sqrt{\left(3\right)^2+\left(-3\right)^2}[/tex]

[tex]AB=\sqrt{9+9}[/tex]

[tex]AB=\sqrt{18}[/tex]

[tex]AB=3\sqrt{2}[/tex]

Similarly,

[tex]BC=\sqrt{\left(5-6\right)^2+\left(4-5\right)^2}=\sqrt{2}[/tex]

[tex]CD=\sqrt{\left(2-5\right)^2+\left(7-4\right)^2}=3\sqrt{2}[/tex]

[tex]AD=\sqrt{\left(2-3\right)^2+\left(7-8\right)^2}=\sqrt{2}[/tex]

The length  of diagonals are:

[tex]AC=\sqrt{\left(5-3\right)^2+\left(4-8\right)^2}=2\sqrt{5}[/tex]

[tex]BD=\sqrt{\left(2-6\right)^2+\left(7-5\right)^2}=2\sqrt{5}[/tex]

From the above calculation, we conclude that the given quadrilateral has two pairs of congruent opposite sides and equal diagonals.

Opposite sides of a rectangle are equal and its diagonals are also equal.

Therefore, the given quadrilateral ABCD is a rectangle.

If a 5-pound bag of potatoes costs $5.25 , then how much would 7 pounds cost?

Answers

Answer:

7.35

Step-by-step explanation:

5 pounds -> 5.25

1 pound -> 1.05

7 pounds-> 7.35

A company makes 110 bags.
46 of the bags have buttons but no zips.
20 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?​

Answers

Answer:

51/110

Step-by-step explanation:

No: of bags with buttons but no zips  = 46

No: of bags that have both buttons and zipz = 110-(46+20+39)  =  5

No: of bags with buttons = 46+ 5 = 51

Total no: of bags = 110

Probabilty = 51/110

I hope im right!!

hurry help me please hurry hurry hurry

Answers

Answer:D

Step-by-step explanation:

Answer:   A = y=-3x+1

Step-by-step explanation:  If you plug in -2 and use 7 from Y

              7 = -3(-2) +1

             7= 6+1

               7 = 7

Hope this helps pls mark me brainliest. :)

               

Mari starts off with $1 in her piggy bank. Each week, Mari's dad adds $3 to Mari's
piggy bank. Write an explicit equation, a(n), for this sequence that represents how
much money Mari has each week.

Answers

Answer:

y=3x+1

Step-by-step explanation:

x is the weeks and y is the final product

Answer:

1+(3x7) she has 22 dollars

Step-by-step explanation:

help me with this pls

Answers

Answer:

m=76

Step-by-step explanation:

what numbers will i multiply to get 126 and add to get 2​

Answers

No two numbers will work for this.

2
3
6 7 8 9 10
Question
Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of
the coins is $1.30. How many nickels and how many dimes are in the jar?
The jar contains
nickels and
dimes.

Answers

9514 1404 393

Answer:

14 nickels6 dimes

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.


please help jssjdbrbensbsjshwha

Answers

Answer:

0dh 8/6

Step-by-step explanation:

Answer:

-8/27

Step-by-step explanation:

First, make all fractions an improper fraction.

-2/3 / 9/4

Flip the right fraction over.

-2/3 * 4/9

multiply

and you get -8/27

This polygon has a perimeter of 39 centimeters. What is the length of side A?

Answers

Answer: i think its 7 cm pretty sure

7cm, it reflects the other side


(3x +- 5)(x +- 11)º what is the measure of dcb

Answers

Its 8 when multiply the two equations

9 7/8 - 2 5/6 write in simplest form. that’s the math question I tried doing it and I can’t seem to get a proper answer plzzzz

Answers

Answer:

7 1/24

Step-by-step explanation:

I) Use common denominator:

8 x 3 = 6 x 4 = 24

9 7/8 = 9 21/24

2 5/6 = 2 20/24

II) Subtract:

9 21/24 - 2 20/24 = 7 1/24

It took Jamie 3/4 of an hour to complete 1/4 of a puzzle. How many hours will it take to complete a puzzle?

Answers

Answer:

It will take Jamie 3 hours to complete it

Step-by-step explanation:

3/4 * 4/1 = 12/4 = 3 hours

Answer:

3 hours

Step-by-step explanation:

3/4x4/1=12/4

12/4=3

Calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest.
Use the formula,
P=A(rn)(1+rn)nt(1+rn)nt1
where A is the amount to finance, r is the annual interest rate, n is the number of times interest is compounded in one year, and t is the number of years.

Answers

Answer:

352.05

Step-by-step explanation:

I don't know how to interpret the equation you wrote and so I just used annuities

I have attached my work below

the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest is $353.95.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given,  a $14,790 auto loan over four years at 6.9% annual interest.

To calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest,

we can use the formula for the monthly payment of a loan:

M = P * (r/12) * (1 + r/12)ⁿ / ((1 + r/12)ⁿ¹)

where:

M = monthly payment

P = principal amount (loan amount)

r = annual interest rate (as a decimal)

n = total number of payments (number of years * 12)

Plugging in the given values, we get:

P = $14,790

r = 0.069 (6.9% expressed as a decimal)

n = 4 * 12 = 48 (4 years with 12 payments per year)

M = $14,790 * (0.069/12) * (1 + 0.069/12)⁴⁸ / ((1 + 0.069/12)⁴⁸⁻¹)

M = $353.95

Therefore, the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest is $353.95.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

Plzzz help! Answer quick

Answers

Answer:

The answer is 6

Step-by-step explanation:

Answer:

The Area of the given figure is 6 inch²

Step-by-step explanation:

For a given Trapezoid

side a = 1 ½ = 1.5 inch

side b = 2½ = 2.5 inch

height (h) = 3 inch

Now, Area of Trapezoid

Formula:

A = ½ (a + b) × h

A = ½ (1.5 + 2.5) × 3 inch

A = ½ × 4 × 3 inch

A = 2 × 3 inch

A = 6 inch²

Thus, The Area of the given figure is 6 inch²

-TheUnknownScientist

Who is better?
Addison Rae or life

Answers

Answer:

addison all the way

Step-by-step explanation:

Answer:tic tok

Step-by-step explanation:

DeAngelo rode his bike at a rate of 15 miles per hour. At that rate, how far could he ride in three hours?

Answers

Since the formula for finding distance is d=r(t), it would be d=15(3). So the distance would be 45 miles in 3 hours.
15 mph so in three hours, he could ride 15*3=45 miles in 3 hours
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