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Cloud [144]
2 years ago
9

Solve 3x – ly= 11 and -2x – 4y=-26 by elimination

Mathematics
1 answer:
Ede4ka [16]2 years ago
7 0

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

- 2x - 4y = - 26 → (2)

Multiplying (1) by - 4 and adding to (2) will eliminate the y- term

- 12x + 4y = - 44 → (3)

Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

- 14x = - 70 ( divide both sides by - 14 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

solution is (5, 4 )

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A farmer knows that a grocery store will reject a shipment of his vegetables if more than 4% of the vegetables contain blemishes
kykrilka [37]

Answer:

Assumption A is violated

Step-by-step explanation:

x = number of blemishes = 8

n = sample size = 150

proportion = x/n = 8/150 = 0.0533

1. large counts: np> 10

= 150 * 0.0533 >10

= 7.995 > 10

this assumpton is obviously violated. <em><u>7.995 is not greater than 10</u></em>

<em><u></u></em>

2. Large Counts: n(1 - p) > 10

150(1-0.0533)>10

150-7.995 > 10

142.005> 10

there is no violation. The assumption is satisfied

3. This assumption is satisfied. this is because the tomatoes were selected using simple random sampling.

4. 10% of the population = 0.1 * 2000 = 200

the sample size = 150

150 < 200

this assumption is satisfied

<em><u></u></em>

<em><u> </u></em>

<em><u></u></em>

3 0
2 years ago
Mrs. Wood made 7 batches of cookies. She used a total of 15.75 cups of flour. What is the unit rate for flour for one batch of c
VARVARA [1.3K]

Answer:

2.25 cups

Step-by-step explanation:

15.75÷7= 2.25 cups of flour for one batch of cookie

3 0
3 years ago
The length of a rectangle is (x+3) inches long,and the width is 3⅖ inches.If the area is 15 3/10 square inches,write an equation
tino4ka555 [31]

Answer:

(x + 3) = 9/2

Step-by-step explanation:

Here, we want to write an equation to find the length of the rectangle

Mathematically;

Area of rectangle = length * breadth

15 3/10 = (x + 3) * 3 2/5

(x + 3) = 15 3/10 divided by 3 2/5

(x + 3) = 153/10 * 5/17

(x + 3) = 9/2

8 0
2 years ago
Factor the following: 28 W + 12J
muminat

Step-by-step explanation:

https://youtu.be/e7WGZHTZm0I

6 0
2 years ago
Read 2 more answers
the gross income is $215 per week the deductions are $15.16,$29.33,2%,1%,and 3% what is the net income
Naddik [55]
State tax = 2% of $215 = 0.02 x $215 = $4.30
city tax = 1% of $215 = 0.01 x $215 = $2.15
retirement fund = 3% of $215 = 0.03 x $215 = $6.45

Total deductions = $15.16 + $29.33 + $4.30 + $2.15 + $6.45 = $57.39

Net income = $215 - $57.39 = $157.61
8 0
3 years ago
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