Mathematics Middle School

1/4 times the sum of a number and −3.2 is 1.8

What is the number?

Enter your answer as a simplified mixed number.

Answers

Answer 1
Replace the unknown number as x. You know that (x-3.2)1/4=1.8. Multiply (x-3.2)1/4 by four to cancel out the 1/4 and do the same with 1.8 on the other side. This will leave you with x-3.2=7.2. Add +3.2 to both sides of the equation to cancel out the -3.2 and it leaves you with x=10.4. Your answer is 10.4
Answer 2

The mixed number for the  given case can be obtained as 10²/₅.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

Suppose the number be x.

Then, the following equation can be written for information given as,

1/4(x - 3.2) = 1.8

It can be solved as,

x - 3.2 = 1.8 × 4

⇒ x = 7.2 + 3.2 = 10.4

It can be written in mixed form as below,

10.4 = 10 + 4/10

⇒ 10 + 2/5 = 10²/₅

Hence, the required number is 10²/₅.

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Related Questions

The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $294.00. What was it worth a year ago

Answers

Answer:$210

Step-by-step explanation: First you have the original worth which is equal to 100% and an additional $40%. Next you divide the current worth by 140% which can be written as 1.4. The result is $210 as the worth a year ago.

pls pls pls help help pls

Answers

Answer:

b or 7/9

Step-by-step explanation:

Answer:

The correct answer is B: 7/9

Honestly dunno what 2 do

Answers

Step-by-step explanation:

For number one, you are looking for how many multiplication equations can equal the number given. For example,

C) 12: 1, 12, 6, 2, 3, 4,

For number 2, composite numbers are numbers that are products of two smaller numbers.

For example, 30=15x2, so it is composite. Try dividing the numbers to see if they are composite.

For number 3,

a) two factors: 5 (1, 5)

b) four factors: 15 (1, 15, 3, 5)

c) five factors: 20 (1, 2, 4, 5, 20)

Answer:

Step-by-step explanation:

b) 8: 1, 2, 4, 8

c) 12: 1, 2, 3, 4, 6, 12

d) 16: 1, 2, 4, 8, 16

e) 9: 1, 3, 9

f) 18: 1, 2, 3, 6, 9, 18

g) 50: 1, 2, 5, 10, 25, 50

h) 45: 1, 3, 5, 9, 15, 45

i) 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

j) 42: 1, 2, 3, 6, 7, 14, 21, 42

2a) 30: is a composite number

  b) 31: not composite

  c) 32: is a composite number

  d) 33: is a composite number

  e) 34: is a composite number

  f) 35: is a composite number

  g) 36: is a composite number

  h) 37: not composite

NOTE: a composite number has more than two factors

3a) two factors: 11

 b) four factors: 6

 c) five factors: 16

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