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2 years ago

By what property are x+3(7-x) and x+21-3x equivalent

Mathematics

1 answer:

Lorico [155]2 years ago

4 0

Answer:

The given expressions x+3(7-x) and x+21-3x are equivalent by using the distributive property

Step-by-step explanation:

Given expressions are x+3(7-x) and x+21-3x and also given that they are equivalent

To find for what property the given two expressions are equivalent :

x+3(7-x)=x+3(7)+3(-x)

=x+21-3x ( here we are using the distributive property a(x+y)=ax+ay )

Therefore the given expressions x+3(7-x) and x+21-3x are equivalent by using the distributive property

You might be interested in

0.7 of what number is 4 1/2?

hjlf

Answer:

x = 45/7

Step-by-step explanation:

Write as an algebraic equation.

Look at each part in the word question : 0.7 of what number is 4 1/2

"0.7 of what number" can be written as 0.7x

The word "is" means equals.

0.7x = 4 1/2 <= The equation, using 'x' to represent the number.

To find the number, isolate 'x'.

0.7x = $4\frac{1}{2}$ Convert mixed fraction to improper fraction

0.7x = $\frac{(4*2)+1}{2}$ Multiply the whole number by the denominator and add it to the numerator

0.7x = $\frac{9}{2}$ Now isolate 'x'

0.7x/0.7 = $\frac{9}{2}/0.7$ Divide both sides by 0.7

x = $\frac{9}{2}/0.7$ Simplify right side

x = $\frac{9}{2}/\frac{7}{10}$ Rewrite 0.7 as a fraction

x = $\frac{9}{2}*\frac{10}{7}$ To divide, you multiply a flipped fraction

x = $\frac{9*10}{2*7}$ Multiply across the top and across the bottom

x = 90/14 Reduce to lowest terms. Top and bottom are divisible by 2

x = 45/7 Answer

5 0

3 years ago

What is the x- coordinate of the solution to the system of equations? 0.1x+0.5y=0.6 0.4x-1.2y=-5.6

Fiesta28 [93]

We have that

0.1x+0.5y=0.6
0.4x-1.2y=-5.6

using a graph tool
see the attached figure

the solution is the point (-6.5,2.5)

the answer is
the coordinate x of the solution is x=-6.5

4 0

2 years ago

What is the equation of the line whose y-intercept is 3 and slope is 1? y = x - 3 y = x 3 y = 3x 1 user: what is the slope of a

Lesechka [4]

A)

y = mx + c

y = 1x + 3

y = x + 3

b)
y = 2x ? 5 comparing to y = mx + c, slope = m

slope = 2.

But for a perpendicular line, we take the negative reciprocal,

= -1/2 = -1/2

6 0

3 years ago

Read 2 more answers

Bruh- can someone pls help me out kindly I will give 13 points

ycow [4]

Answer:

$\huge\boxed{\texttt{Yes. Explanation for why.}}$

Step-by-step explanation:

If we have the equation $y = \frac{1}{2}x - 4$ and we want to test if the point (4,–2) satisfies the equation, we can plug the x and y values into the equation and see if they make the equation true.