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3 years ago

Which of the following is the solution to the following system of inequalities? x + 2y 2

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

Answer:

2 would be your answer

Step-by-step explanation:

thans

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal

77julia77 [94]

Votes received by Wayne is 112

Solution:

To find: votes received by Wayne

Let the vote received by Wayne be "x"

Juan received 4 times as many votes as Wayne

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

Neal received twenty less votes than Juan

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

Kerry got half as many votes as Neal

Kerry votes = half of neal votes

Kerry votes = $\frac{4x - 20}{2}$ ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

$x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112$

Therefore votes received by Wayne is 112

4 0

3 years ago

Round 721295.198715 to the nearest ten.

zimovet [89]

Answer:

7212960

Step-by-step explanation:

You have to round up since the number in the ones place is a 5.

4 0

3 years ago

In a New York Times/CBS News Poll, respondents were asked if it should be legal or illegal to send a text message while driving.

AnnZ [28]

Answer: $\dfrac2{201}$

Step-by-step explanation:

Number of persons said it is legal to text while driving = 8

Number of persons said it is illegal to text while driving = 804

Total persons sampled = 804+8 = 812

Since probability = $\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}$

The probability of randomly selecting someone who believes it should be legal to text while driving = $\dfrac{8}{804}=\dfrac2{201}$

Required probability = $\dfrac2{201}$

7 0

2 years ago

What are the factors of xsquared+4x+3

Maslowich

The answer would be (x+1)(x+3)

4 0

3 years ago

Read 2 more answers

3/8 - 10/13 -7/5 -30/104 -41/104 -39/80

salantis [7]

Answer:

-41/104

Step-by-step explanation:

Simplify 3/8 and 10/13 then calculate the least common multiple, calculate multipliers, make equivalent fractions and Add fractions that have a common denominator for your final answer.

4 0

3 years ago

Which of the following is the solution to the following system of inequalities? x + 2y 2​

Which of the following is the solution to the following system of inequalities? x + 2y 2