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3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Here you have 2 linear equations and are to solve this system. Both equations have already been solved for y, so you can set one of them = to the other one:

-2x+11 = -3x+21.

Then 3x-2x = 21 - 11, or x = 10 (answer)

Find y by subst. x = 10 into either of the given equations.

Solution is then (10, ? )

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Math To Do in Ready

Svetllana [295]

Answer:

C=100.5 inches

Step-by-step explanation:

Circumference=2πr where r=16 inches

C=2(3.14)(16)

C=100.5 inches

3 0

3 years ago

6. In right triangle ABC, mZC=3y-10,

lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

$90\°+(y+40)\°+(3y-10)\°=180\°$

Solve for y

$4y+120=180$

$4y=180-120$

$4y=60$

$y=15$

step 2

Find the measure of angle B

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

Find the measure of angle C

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0

2 years ago

A case of Scout cookies has 10 cartons. A carton has 12 boxes. The amount you earn on a whole case is 10(12x) dollars.

Katen [24]

Simplified expression: 120x dollars

Step-by-step explanation:

Given,

Number of cartons in case of Scout cookies = 10 cartons

Number of boxes in carton of Scout cookies = 12 boxes

Amount earned on whole case = 10(12x) dollars

To simplify the expression, we will multiply 10 by 12x

Amount earned on whole case = 120x dollars

Simplified expression: 120x dollars

Keywords: multiplication, variable

Learn more about multiplication at:

#LearnwithBrainly

8 0

2 years ago

If the Semi Monthly is $4,000

Andreyy89

Disclaimer- this is all assuming that "semi monthly" means twice a month. if it doesn't, ignore this answer

A- if semi monthly is half a month, then 4 times 2 is 8, and 8 times 12 is 96,000.

B- If there are 4 weeks in a month and 4000$ accounts for half of that pay, then the weekly pay is 2000, making the bi-weekly pay 1000.

C- The monthly pay is 8,000$ because 4,000 x 2 is 8,000

D- The weekly pay is 2,000$ because the monthly pay is 8,000$ and there are 4 weeks in a month

E- I do not know the hours at this job and therefore cannot answer this

4 0

2 years ago

Calculate: 462 grams(g)=____milligrams (mg)

egoroff_w [7]

Answer:

462 000mg

Step-by-step explanation:

1gram = 1000milligrams

Hence...462 grams...,

; 462 × 1000 = 462 000mg

3 0

2 years ago