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3 years ago

I need help on this one

Mathematics

1 answer:

mel-nik [20]3 years ago

7 0

Answer: 4/9

Step-by-step explanation:

apply product rule to 2/3 2^2 / 3^2

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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

Complete the equation describing how x and y are related.

Natali5045456 [20]

Answer: -5

Step-by-step explanation:

4 0

3 years ago

Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as hi

umka2103 [35]

Answer:

The factory should produce 166 pairs of high-grade shoes and 364 pairs of low-grade shoes for maximum profit

Step-by-step explanation:

The given parameters for the shoe production are;

The number of low grade shoes the factory produces ≥ 2 × The number of high-grade shoes produced by the factory

The maximum number of shoes the factory can produce = 500 pairs of shoes

The number of high-grade shoes the dealer calls for daily ≥ 100 pairs

The profit made per pair of high-grade shoed = Birr 2.00

The profit made per of low-grade shoes = Birr 1.00

Let 'H', represent the number of high grade shoes the factory produces and let 'L' represent he number of low-grade shoes the factory produces, we have;

L ≥ 2·H...(1)

L + H ≤ 500...(2)

H ≥ 100...(3)

Total profit, P = 2·H + L

From inequalities (1) and (2), we have;

3·H ≤ 500

H ≤ 500/3 ≈ 166

The maximum number of high-grade shoes that can be produced, H ≤ 166

Therefore, for maximum profit, the factory should produce the maximum number of high-grade shoe pairs, H = 166 pairs

The number of pairs of low grade shoes the factory should produce, L = 500 - 166 = 334 pairs

The maximum profit, P = 2 × 166 + 1 × 364 = 696

6 1

3 years ago

Read 2 more answers

Can i please get the answer to number 6 ?

IrinaVladis [17]

A full circle in radians is 2π, and in degrees it's 360°. I want to convert the 72° to radians:

72° in radians = 72/360 * 2π = 2/5π

The circumference of a full circle is the number of radians times the radius. (ie., 2πr), so the JK part of the circle is:

5* 2/5π simplifies to 2π

6 0

3 years ago

How to turn 3/9 in to a decimal ? no calculator

Lady_Fox [76]

3/9 reduces to 1/3 (divide both parts by the GCF 3)

Then use long division to divide 1/3

See attached of what I mean

Which is why $\frac{1}{3} \approx 0.3333$

The '3's in 0.333 will go on forever

7 0

3 years ago