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3 years ago

Five less than 4 times a number equals 2 more than 3 times the number.

Mathematics

2 answers:

laila [671]3 years ago

5 0

A.
$4n-5 = 3n+2$

b and c.
add 5 to both sides:
$4n = 3n+7$
subtract 3n from both sides:
$n = 7$

hammer [34]3 years ago

5 0

Hey there :)

Let us translate the sentence into mathematics ( step by step )

five less than four times a num. equals two more than three times a num.
↓ ↓ ↓ ↓ ↓
- × = + ×

( Note we are asked to use n to represent the unknown number )

a. 4n - 5 = 2 + 3n

b. 4n - 5 = 2 + 3n
Bring like terms to one side
4n - 3n = 2 + 5
n = 7

c. By bringing like-terms to one side and performing the suitable operation
( + , - , × , ÷ )

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A fundraiser lottery draws two winners each month from 50 tickets numbered

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Answer:

1/49 of a chance

Step-by-step explanation:

7 0

3 years ago

7. The following clues are given about a bucket of bubble gum.

scZoUnD [109]

There were 472 pieces of bubble gum in the bucket

Step-by-step explanation:

The following clues are given about a bucket of bubble gum

1. There are between 400 - 500 pieces of gum in the bucket

2. The bubble gum was purchased in 4 equally-sized bags

3. The product of all the digits is 56

Let us explain how to solve the problem

∵ The number of the pieces of gum is between 400 and 500

∴ The number of pieces is 3-digit number and its hundred digit is 4

∵ The product of all digits is 56

∵ One of the digit is 4

∵ 56 ÷ 4 = 14

∴ The product of the ten digit and the one digit is 14

∵ 14 = 2 × 7

∴ The ten digit and the one digit are 2 and 7 or 7 and 2

- If the ten digit is 2 and the one digit is 7

∴ The number of pieces is 427

∵ The bubble gum was purchased in 4 equally-sized bags

- That means there were 4 pieces of bubble gum in each bag

∴ The number of pieces must divisible by 4

- The number is divisible by 4 if it is an even number and the number

formed from the ten digit and one digit is divisible by 4

∵ 427 is an odd number

∴ 427 not divisible by 4

- If the ten digit is 7 and the one digit is 2

∴ The number of pieces is 472

∵ 472 is an even number

∵ 72 divisible by 4

∴ 472 is divisible by 4

∴ There are 472 pieces of gum in the bucket

There were 472 pieces of bubble gum in the bucket

Learn more:

You can learn more about digits in brainly.com/question/547255

#LearnwithBrainly

7 0

4 years ago

If AC=12, BC=3, find CE 1) 3 square root of 3 2) 6 3) 18

azamat

Answer:

2) 6

Step-by-step explanation:

CE^2 = BC * AC

CE^2 = 3 * 12

CE^2 = 36

CE = 6

7 0

3 years ago

Read 2 more answers

7=14x-42y solve equation for y

dedylja [7]

7 = 14x - 42y
42y = 14x - 7
y = (14x - 7)/ 42

or we could write it as y = (1/3)x - 1/6

3 0

3 years ago

Read 2 more answers

During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa

guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2 .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

Now, According to question

3 x + 2 y = 13 .........A

2 x + 5 y = 16 .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴ y = $\dfrac{22}{11}$

i.e y = $2

so, The price of each hot dogs = y = $2

Now, Put the value of y into eq B

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴ x = $\dfrac{6}{2}$

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and The price of each hot dogs is $2 . Answer

3 0

4 years ago