If four times a number is subtracted from 35, the result is ten more than three times the number. Which equation can be used to find the value of the number?\

35 - 4x = 3x + 10

Step-by-step explanation:

Given that :

Writing out the problem mathematically,

Let the number = x

35 - (4 * x) = (3 * x) + 10

35 - 4x = 3x + 10

-4x - 3x = 10 - 35

-7x = - 25

Hence x the equation which can be used to obtain the value of x is :

35 - 4x = 3x + 10

The equation: 35 - 4x = 3x + 10

3.57

Step-by-step explanation:

Let

x = the unknown number

35 - 4x = 3x + 10

Collect like terms

35 - 10 = 3x + 4x

25 = 7x

Divide both sides by 7

x = 25 / 7

= 3.57 approximately

The unknown number, x is approximately 3.57

The equation: 35 - 4x = 3x + 10

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.