Which of the following is a solution to the system? Show your work.

3x+2y=-3

3x-y=6

Group of answer choices

(-1, 0)

(1, -3)

(2, 0)

LaTeX: (0,-\frac{3}{2})

Answers

Answer 1

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

3x + 2y = -3 ⇒ (1)

3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

-3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

(1, -3) is a solution to the system


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Answer:

Four

Step-by-step explanation:

Answer: will have to be 4

What polygon has interior angle measures of 162°?

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Answer:

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.

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Answers

5 5/6 is the answer I think

Step-by-step explanation:

2 1/3+3 2/4=7/3+14/4

=28/12+42/12 (common denominater)

=70/12

=5 10/12

3 facts about "What is a Hurricane"?​

Answers

Answer: ║               ∨Fact 1: The term 'hurricane' is derived from Taino Native American word 'hurucane,' which means the evil spirit of the wind. Fact 2: The first hurricane that caused people to fly in it occurred in 1943 during World War II. Fact 3: A tropical storm is a hurricane that travels for 74 miles per hour or higher than that.

A farmer has 300 feet of fence available to

enclose a 4500 square foot region in the

shape of adjoining squares, with sides of

length x and y. The big square has sides of

length x and the small square has sides of

length y. Find x and y.

UUUULTTUUL

x= ? feet

y = ? feet

Answers

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

If you make $60 in 8 hours, what is the unit rate? hint: what is your hourly pay?

Answers

Answer:

$7.50

Step-by-step explanation:

Answer:

60 divided by 8 is 7.5

the unit rate is 7.5 and the hourly pay is $7.50

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Answers

Answer:

100% of 600,000 = 600,000

Step-by-step explanation:

The answer will be 600,000

Since

100% of 6,000,000 = 6,000,000 so,

100% of 600,000 = 600,000

600,000, since 100% of something is the number itself.

Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years

Answers

9514 1404 393

Answer:

  $241.81

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

Filling in the values and doing the arithmetic, we have ...

  I = $2650×0.0365×2.5

  I = $241.81

The simple interest paid is $241.81.

To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients

Answers

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

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Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.

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The mean is 7.5 and the median is 8 so the answer would be 0.5

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Answers

Answer:

54

Step-by-step explanation:

So If this tells you what 'm' and 'n' are, you just put them inside.

First do the M so then it will be 5 * 10 which is 50 then we just first leave it there.  Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.

Then all there is is 50 + 4 = 54

So 54 is our answer.

Answer:

Step-by-step explanation:

10m + n^2/4           (m=5 , n=4)

(10*5) + (4^2/4) =

50 + 4 =

54

What is the length of line segment BC

Answers

Answer:

BC = 1

Step-by-step explanation:

AB = x + 16

BC = x +6

AB + BC = AC

x + 16 +x + 6 = 12

x + x + 16 + 6 = 12

        2x + 22 = 12

              2x = 12 - 22

             2x = -10

               x = -10/5

x = - 5

BC = x + 6 = - 5 + 6 = 1

Answer:

BC = 1

Step-by-step explanation:

Frm the diagram

AB + BC = AC , substitute values

x + 16 + x + 6 = 12

2x + 22 = 12 ( subtract 22 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Thus

BC = x + 6 = - 5 + 6 = 1

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Answers

The amount of pay before deductions
This is correct... Net pay is after deductions

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Answers

Answer:

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Step-by-step explanation:

took the test

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Answer:

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Step-by-step explanation:

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \

Answers

Answer:

y=0.35m+50

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

y=0.35m+50

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

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Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

[tex]Pens = 8[/tex]

[tex]Cost = \$1.09[/tex]

Required

Determine Milo's error

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Step-by-step explanation:

What factor would you need to multiply(3x – 1) by to get922 - 12
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2
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0
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Answers

Answer:

32 - 1

Step-by-step explanation:

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Answers

Answer:

A-(x+4,y-5)

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Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

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A. 38
B. 56
C. 58
D. 76

Answers

Answer:

B. 56°

Step-by-step explanation:

[tex] 20 \degree = \frac{1}{2} (96 \degree - \widehat{LN}) \\ \\ 2 \times 20 \degree = (96 \degree - \widehat{LN}) \\ \\ 40 \degree = (96 \degree - \widehat{LN }) \\ \\ \widehat{ln} = 96 \degree - 40 \degree \\ \\ \huge \red{ \widehat{LN} = 56 \degree}[/tex]

Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?

Answers

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

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So, w= 35

The width of rectangle w = 35 yards

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So, the Length of rectangle is 87 yards.

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Answers

Answer:

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Step-by-step explanation:

Take any two points. I'm going to take (3, 75) and (4, 100).

How to find slope: change in y/change in x

Change in y --> 100 - 75 = 25

Change in x --> 4 - 3 = 1

25 ÷ 1 = 25.

Slope is 25

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The y-intercept stands for how much money someone gets for working 0 days, so they get $0 for working/whatever situation they're in for 0 days.

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Answers

Answer:

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Step-by-step explanation:

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