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3 years ago

What is proportional

1 answer:

8 0

Answer: Proportional is two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant, that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.

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Find four consecutive numbers whose sum equals 218

Softa [21]

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

-6 -6 ← subtract 6 from both sides of the equation

4x = 212

÷4 ÷4 ← divide both sides of the equation by 4

X = 53

X ⇒ first number = 53

X + 1 ⇒ second number = 54

X + 2 ⇒ third number = 55

X + 3 ⇒ fourth number = 56

Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.

4 0

3 years ago

Question 9 (10 points) Solve for x, 2(x - 1) + 4 = 4(x + 1)

Nutka1998 [239]

1. Expand
2x − 2 + 4 = 4x + 4

2. Simply
2x + 2 = 4x + 4

3. Subtract
2 = 4x + 4 - 2x

4. Simplify
2 = 2x + 4

5.Subtract
2 - 4 = 2x

6. Simplify
-2 = 2x

7. Divide both sides by
-1 = x

8.Switch sides.
x = -1

6 0

4 years ago

Ebi, Jose, Derell, and Asami measured their heights. Ebi's height was 2.5 cm greater than Jose's height. Jose's height was 3.1 c

irga5000 [103]

Start with assigning each person with a variable to represent their height

Ebi: e
Jose: j
Derell: d
Asami: a

Ebi'd height was 2.5 cm greater than Jose's height

j + 2.5 = e

Jose's height was 3.1 cm greater than Derell's

d + 3.1 = j

Derell's height is 0.4 cm less than Asami's height

a - 0.4 = d

Ebi is 162.5 cm tall

e = 162.5

So, plug in 162.5 into any of the above equations were there is a variable of e

j + 2.5 = e

j + 2.5 = 162.5

Subtract 2.5 from both sides of the equation

j = 160 cm

Jose's height is 160 cm

Now, plug in 160 into any of the above equations where there is a j

d + 3.1 = j

d + 3.1 = 160

Subtract 3.1 from both sides of the equation

d = 156.9 cm

Derell's height 156.9 cm

so, plug in 156.9 into any of the above equations where there is a d

a - 0.4 = d

a - 0.4 = 156.9

Add 0.4 on both sides of the equation

a = 157.3 cm

Asami's height is 157.3 cm

7 0

3 years ago

Read 2 more answers

Samantha invested in the Graham Corporation. Samantha bought n number of shares for d dollars and paid a 2% commission to her br

DiKsa [7]

Answer:

Net Proceeds = Selling Price - Total Cost Price

a. Samantha

Total Cost Price;

Bought shares for d dollars and paid 2% commission = d + (d * 2%) = 1.02d

Selling Price;

Sold stock for s dollars and paid flat fee of $11 = s - 11

Net Proceeds = (s - 11) - 1.02d

b. Alex

Total Cost Price;

Bought x dollars worth and paid 1% commission = x + (x * 1%) = 1.01 * x = 1.01x

Selling Price;

Value falls to y and Alex pays 1.25% when he sells = y - (y * 1.25%) = y - 0.0125y = 0.9875y

Net Proceeds = 0.9875y - 1.01x

4 0

3 years ago

Write the number in different ways

mina [271]

4. 15 tens, 1 hundred, 5 tens
150
5. 18 tens, 1 hundred, 8 tens
180

note: I hope this helps. I haven't done this in a long time. Sorry X(

3 0

3 years ago