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3 years ago

Find the solution to the systems of equations using the elimination method.

Mathematics

2 answers:

vredina [299]3 years ago

5 0

X=-2/3y+11/3

x=-3/5y+14/5

Naily [24]3 years ago

4 0

Answer:

x = 1 ; y = 3

Step-by-step explanation:

5(2x + 3y = 11)

2(5x + 3y + 14)

(distribute)

10x + 15y = 55

10x + 6y = 28

(subtract)

9y = 27

(divided 9 to both sides)

9 divided by 9 cancels out and 27 divided by 9 = 3

so..

y = 3

now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value

2x + 3y = 11

2x + 3(3) = 11

(multiply 3 x 3)

2x + 9 = 11

(subtract 9 from 9 and 11)

2x = 2

(divide 2 from both sides)

2 divided by 2 = 1

therefore...

x = 1

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How do i find the area for number 4?

ankoles [38]

<h3>Answer: 41 cm^2</h3>

Explanation:

Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles

The bottom rectangle has area of 4*8 = 32 cm^2
The top rectangle has area of 3*3 = 9 cm^2

The total area is therefore 32+9 = 41 cm^2

You can say "square cm" or "sq cm" in place of the "cm^2".

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3 years ago

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Two number cubes are rolled for two separate events:

andrew11 [14]

Answer: $\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}$

<u>Step-by-step explanation:</u>

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

$P(B|A)=\dfrac{P(B\cap A)}{P(A)}$

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

(2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

(3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

(4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

(5, 4), (5, 3), (5, 2), (5, 1)

(6, 3), (6, 2), (6, 1)

= 30

P(B) = (1, 2), (2, 1) sum = 3

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) sum = 6

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3) sum = 9

(6, 6) sum = 12

= 12

P(A ∩ B) = (1, 2), (2, 1)

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

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4 years ago

What is the answer to 1/8(8x+15)=24

Korvikt [17]

Answer:

x = 177/8

Step-by-step explanation:

First, we must get rid of the fraction by multiplying 8 by both sides.

8 · 1/8(8x + 15) = 24 · 8

1(8x + 15) = 192

8x + 15 = 192

Then we simplify. First subtract 15 from both sides.

8x + 15 - 15 = 192 - 15

8x = 177

Then divide 8 from both sides.

8x/8 = 177/8

x = 177/8

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3 years ago

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical

mash [69]

Answer:

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Step-by-step explanation:

Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2

(4)^2+(4)^2=c^2

16+16=c^2

32=c^2

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3 years ago

Mr. Johnson's lunch bill is 29.90, which includes a 15% tip

Zielflug [23.3K]

Answer:

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Step-by-step explanation:

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26+3.90= 29.90

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