Drag a statement or reason to each box to complete the proof.

Mathematics

2 answers:

natka813 [3]3 years ago

7 0

See the attached picture:

nika2105 [10]3 years ago

4 0

Answer:

Given an equation: $5(x+6)=x+38$

Distributive Property of equality tells us that the multiplication over addition can be used when you multiply a number by a sum.

i.e $a\cdot(b+c)=a\cdot b+a\cdot c$

Apply distributive property on term 5(x+6) i.e,

$5(x+6)=5\cdot x+5\cdot 6 =5x+30$

Then, the equation become;

5x+30=x+38

Subtraction Property of equality states that you subtract the same number from both sides of an equation

Subtract 30 from both sides of an equation:

5x+30-30=x+38-30

On simplifying we get;

5x=x+8

Now, subtract x from side of the equation:

5x-x=x+8-x

Simplifying:

4x=8

Division Property of equality tells us that divide the same number from both side of an equation:

Divide 4 on both sides of an equation;

$\frac{4x}{4} =\frac{8}{4}$

Simplifying we get;

x=2

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Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper ba

Scilla [17]

Answer:

The mean no. of red cubes is more than the median no. of red cubes.

Step-by-step explanation:

According to the question, we can prepare the following table denoting the no. of bags containing any number of red cube(s). The no. of red cubes in each bag can theoretically be any no. between 0 and 20 (both end inclusive) as in total each bag contains 20 cubes of different colors.There are as a whole 10 bags (given).

No. of red cubes No. of bags $(x_{i}f_{i})$