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3 years ago

Graph the equation -5x + 2y=2

Mathematics

1 answer:

dimulka [17.4K]3 years ago

4 0

Slope = 5 over 2
Y-intercept = 1

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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

Find the mean. 3,4 Helpop

Elena L [17]

Answer:

3:4 i think

Step-by-step explanation:

3 4 is the answer

8 0

2 years ago

Im turning percents into fractions and im not sure how to do this one please help

slava [35]

4 1/7 = (4*100) +(1/7 of 100)= (400+ 14.28)= 414.28

The answer is 414.28

3 0

3 years ago

Determine the value of c so that f(x) is continuous on the entire real line when

mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0

3 years ago

BRAINLIEST AND 10+POINTS! :)

BartSMP [9]

Answer: D.

Step-by-step explanation:

The associative property of addition states that numbers can be added together regardless of how they are grouped.

Answer A shows a property of multiplication.

Answer B shows the additive identity property.

Answer C shows the commutative property.

However, answer D shows that the numbers can be added regardless of how they are grouped.

5 0

3 years ago

Read 2 more answers