Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4

Use The Elimination Method To Solve The System Of Equations.3x + 2y = 162x - 2y = 4

Answers

Answer 1

Answer:

D (4, 2)

Step-by-step explanation:

adding equation 1 and 2,

5x = 20

x = 4

Hence y = 2

Hence its D

Answer 2

Answer:

b (5,3)

Step-by-step explanation:


Related Questions

Factor completely x2 + 16

Answers

Answer:

not a factorable number i think

Step-by-step explanation:

Answer is : 2(x + 8)

Heather wants to start a business. She has two products to sell, and knows it takes her a
different amount of time to make each. It takes her 1.5 hours to make each frame (f),
and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on these
projects this week. Write the equation that represents this relationship.

Answers

Answer: 1.5f + 2.25c = 40

Step-by-step explanation:

You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.

Grace earned £32,000 last year. She worked for 35 hours a week for 50 weeks. Calculate her pay per hour. Give your answer to 2 decimal places.

Answers

Answer:

18.29

Step-by-step explanation:

32000 ÷ 35 ÷ 50 = 18.2857143

The answer is £20.00 per hour.

2
What is the value of x in the equation 7x + 2y = 48, when y = 3?

Answers

Answer: 6

Step-by-step explanation: 7x+2y=48

7x+2(3)=48

7x+6=48

7x=48+6

7x=42

x=42/7

x=6

Find the value of the variable that results in congruent triangles.

A. 80
B. 10
C. 50
D. 30

Answers

Answer:

x = 10

Step-by-step explanation:

Mathematically, the sum of the interior angles of a triangle is 180

Thus, we have it that;

55 + 45 + (5x + 30) = 180

100 + 5x + 30 = 180

5x = 180-30-100

5x = 50

x = 50/5

x = 10

Someone help me please!!!

Answers

yes the answer to this is 1/5

A ream contains 500 sheets of paper. How many sheets in 2 reams?

Answers

500+ 500 is 1,000, 500 represents 1 so times that by two and you get 1,000

At maximum speed, an airplane travels
1680 miles against the wind in 5 hours.
Flying with the wind. the plane can
travel the same distance in 4 hours.
What is the speed of the plane with no wind?

Answers

Answer:

The speed of the plane with no wind is 378 miles per hour.

Step-by-step explanation:

Since at maximum speed, an airplane travels 1680 miles against the wind in 5 hours, and flying with the wind. the plane can travel the same distance in 4 hours, to determine what is the speed of the plane with no wind, the following calculation must be performed:

Against the wind = 1680/5 = 336

With the wind = 1680/4 = 420

420 - ((420 - 336) / 2) = X

420 - 42 = X

378 = X

Therefore, the speed of the plane with no wind is 378 miles per hour.

geometry peculiar pool
please help!!!

after the sketch answer
1. Let x represent the length of BC. Write expressions for the lengths of AB, CD, and DE.

Answers

Answer:

hi.

Step-by-step explanation:

download photo math

The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.

The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.

Using the law of sines, we can write the following equation:

sin(77) = (50 / d) * sin(180 - 77)

where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.

Solving for d, we get:

d = 50 * sin(77) / sin(103)

≈ 21.66 inches

Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

To learn more about point here:

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A store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, which could be possible retail prices?

Answers

Answer:

$49 and $65 are the choices you should check. These prices are greater than $45.

Step-by-step explanation:

It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.

Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.

YALL I NEED HELP ASAP!!!!! ITS BASIC MATH!!

So i have to multiply and cast out 9s and I know i have the right answer but the casting out 9s part its not falling into place so pls helpppppp

948 x 789 = 747,972

pls help ill brainliest, thnxs, and 5 star rate!!!!! pls

Answers

Answer:

Step-by-step explanation:

948 x 789 = 747,972

Need help on this!!! 7 points!!!!

Answers

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

Alice bought a (k) kg of pork and (i) kg of chicken. how many kg of meat did alice buy??
Write the solutions and explanation with algebraic expression

Answers

Answer:

(k)kg+(l)kg=kg

Step-by-step explanation:

I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig

2x = 4y + 8, x - 2y = 4
System of Equations

Answers

Answer:

Step-by-step explanation:

2x=4y+8

divide by 2

x=2y+4

and x-2y=4

or x=2y+4

so both the equations represent the same line.

look at the image for the question and the answers​

Answers

Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"  

Find the product of the Mixed numbers.

2 2/3 x 1 1/2
what statemets are correct? Check all that apply.
1. write the mixed numbers as improper fractions
2. multiply the numerators to get 24.
3. multiply the denominators to get 6.
4. write the improper fractions as a mixed number
5. The product is 4.
6. The product is 2 2/5

Answers

Answer:

1., 2., 3., 5.

Step-by-step explanation:

2 2/3 x 1 1/2 =

= (2 * 3 + 2)/3 * (1 * 2 + 1)/2

= 8/3 * 3/2

= 24/6

= 4

Answer:

Write the mixed numbers as improper fractions.

Multiply the numerators to get 24.

Multiply the denominators to get 6.

Write the improper fraction as a mixed number.

The product is 4.

Step-by-step explanation:

the other person is wrong

I purposely got this question wrong so I can see the right answers

these are the correct answers

(edge)

what is the binary 11110-10101​

Answers

the binary is 1001 hope it helps

-24w^2+(-4w^2)
Helppp

Answers

Answer:

-28[tex]w^{2}[/tex]

Step-by-step explanation:

-24[tex]w^{2}[/tex] + (-4[tex]w^{2}[/tex]) =

a negative plus a negative is a negative.

if you owe me 24 dollars and then I loan you another 4 dollars then you are in the negative 28 dollars to me.

Both 'w' have same exponent, making them like terms

hshsjshshsjsksjjsbsbbs bc hd​

Answers

Answer:

its b b b

Step-by-step explanation:

What is the slope of the line that contains the points in the table

Answers

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = -5[/tex]

Find the area.

A hexagon with side length 6m.

Answers

Answer:

93.53m.

Step-by-step explanation:

.

answer pleaseee help

Answers

Answer:

should be A & D they are multiplying the x by a number less than 1 (between -1 & 1)

Step-by-step explanation:

use the order of operations -5 + 3(7.2 - 3.2)

Answers

Answer:

-5 + 3(7.2 - 3.2) equals 7.

Step-by-step explanation:

The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.

[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]

Help fast
Luke and Owen have \$100$100dollar sign, 100 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Luke was suspicious, so he invested \$10$10dollar sign, 10 only, but Owen invested his entire \$100$100dollar sign, 100. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Owen invested all of the money returned to him, and Luke invested the money returned to him and the remaining \$90$90dollar sign, 90. Again, they got a sum rrr times as great as what they invested. In the end, Owen had \$337.50$337.50dollar sign, 337, point, 50 more than Luke.
Write an equation in terms of rrr that models the situation.

Answers

An equation in terms of r which models the situation described is : 100r² = 10r² + 90r - 337.50

First investment :

Luke:

Total amount had = $100

Amount invested = $10

Amount left = $100 - $10 = $90

Return = r times the amount invested = (10 × r) = 10r

Owen:

Total amount had = $100

Amount invested = $100

Return = r times the amount invested = (100 × r) = 100r

Second investment :

Luke :

Amount invested = Return on first + amount left = 10r + 90

Return is r times the amount invested :

Return on second investment = (10r + 90) × r = (10r² + 90r)

Total amount earned after both investment = 10r² + 90r

Owen :

Amount invested = Return on first = 100r

Return is r times the amount invested :

Return on second investment = (100r × r) = 100r²

Total amount earned after both investment = 100r²

Owen made 337.50 more than Luke ; This means that :

Total earned by Owen = Total earned by Luke + 337.50

100r² = 10r² + 90r + 337.50

Hence, the equation in terms of r is : 100r² = 10r² + 90r - 337.50

Learn more : https://brainly.com/question/18796573

Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.

Answers

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Here,

Probability =(³₆×(50%)³×(1-50%)⁶⁻³

= 20×(1/2)³×(1/2)³

= 20× 1/64

= 20/64

= 5/16

= 0.3125

= 0.3125×100

= 31.25%

Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

To learn more about the probability visit:

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Are the two triangles similar. If so, State how

Answers

Answer:

Yes by AAA

Step-by-step explanation:

Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar

What Is the factored form of the polynomial
x^2-12x+27

Answers

Step-by-step explanation:

The Answer is (x-9) (x-3) Factor 12 and 27 out.

Answer:

[tex]x^{2} -12x+27=[/tex]

[tex](x-3)and\:(x-9)[/tex]

-----------------------

hope it helps...

have a great day!!


[tex]solve : - \\ \\ factorise \: (x {}^{2} + 30x + 216) \\ \\ please \: help \: [/tex]

Answers

Answer:

[tex](x+12)(x+18)[/tex]

Step-by-step explanation:

[tex] {x}^{2} +30x+216[/tex]

[tex](x+12)(x+18)[/tex]

Hope it is helpful....

x²+30x+216

on factorizing we get

(x+12)(x+18)

Therefore, x= -12 or -18

h(x) = x2 + 3. Is frl a function and why/why not?
No, the inverse function does not pass the horizontal line test.
No, the inverse function does not pass the vertical line test.
Yes, the inverse function has one y-value for every x-value.
Yes, the inverse function has one x-value for every y-value.

Answers

is good answer the x value and y value

Answer:

No, the inverse function does not pass the horizontal line test.

Step-by-step explanation:

Find the length of AC. Round to the nearest hundredth if necessary.

Answers

Answer:

13.86

Step-by-step explanation:

In ∆ ABC ,

cos 30° = AC/BC√3/2 = AC/ 16 AC = 16 * √3/2 AC = 83 AC = 8 * 1.732AC = 13.86
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