Translate then solve the algebraic equation for the following problems: fourteen less than 5 times a number is 1. identify the integer. when the sum of a number and 3 is subtracted from 10 the result is 5. identify the integer. the sum of two consecutive integers is 139. find the integers. the sum of two even consecutive integers is 46. find the integers. the sum of three consecutive integers is 57. find the integers.

First, let's call the number we are looking for:  

n

Then, "four times a number" can be written as:  

4

n

Next, "Fourteen less than this" can be written as :  

4

n−14

Now, we can add "is six" to the expression to create the equation:

4

n−14=6

Step-by-step explanation:

Ten more than x x + 10

A number added to 5 5 + x

A number increased by 13 x + 13

5 less than 10 10 - 5

A number decreased by 7 x - 7

Difference between x and 3 x - 3

Difference between 3 and x 3 - x

Twice a number 2x

Ten percent of x 0.10x

Ten times x 10x

Quotient of x and 3 x/3

Quotient of 3 and x 3/x

Five is three more than a

number

5 = x + 3

The product of 2 times a

number is 10

2x = 10

One half a number is 10 x/2 = 10

Five times the sum of x and 2 5(x + 2)

Seven is greater than x 7 > x

Five times the difference of a

number and 4

5(x - 4)

Ten subtracted from 10 times a

number is

that number plus 5

10x - 10 = x

+ 5

The sum of 5x and 10 is equal

to the product of x and 15

5x + 10 =

15x

The sum of two consecutive

integers

(x) + (x + 1)

The sum of two consecutive

even integers

(x) + (x + 2)

The sum of two consecutive odd

integers

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

i'm not really sure how to answer that

step-by-step explanation: