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2 years ago

If the scale is 2inches = 5miles. What is the amount of miles in 4 inches?

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

6 0

Answer:

D. 10 miles

Step-by-step explanation:

As you know 2 inches=5miles so if you add 2 more inches that is equal to 5 miles you will have to add 5 and 5 which equal 10 miles.

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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

<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

<em><u>Juan received 4 times as many votes as Wayne</u></em>

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

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

<em><u>Kerry got half as many votes as Neal</u></em>

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

4. A triangle has angle measures of 72º and 3°. What is the measure of the third angle?

8090 [49]

Answer:

105

the whole triangle adds up to 180

72+3=75

180-75=105

7 0

3 years ago

What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

Solving:

$(x+6)(x+2)=60$

Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

$x^2+2x+6x+12=60$

$x^2+8x+12=60$

$x^2+8x+12-60=0$

$x^2+8x-48=0$

Now factorizing:

$x^2+12x-4x-48=0$

$x(x+12)-4(x+12)=0$

$(x-4)(x+12)=0$

$(x-4)=0\,\,and\,\,(x+12)=0$

$x=4\,\,and\,\,x=-12$

So, solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

5 0

3 years ago

Fourteen less children’s meals were served than adult meals at a barbecue. Children plate were 1.50 each and adult plates were 2

Annette [7]

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

7 0

3 years ago

Plz solve this if u know plz

salantis [7]

<h3>Solution:</h3>

${64}^{ - \frac{1}{3} } ( {64}^{ \frac{1}{3} } - {64}^{ \frac{2}{3} } ) \\ {64}^{ \frac{1}{3} - \frac{1}{3} } - {64}^{ \frac{2}{3} - \frac{1}{3} } \\ {64}^{0} - {64}^{ \frac{1}{3} } \\ 1 - \sqrt[3]{64} \\ 1 - 4 \\ - 3$

<h3>Answer:</h3>

$- 3$

5 0

3 years ago

Read 2 more answers