All categories

3 years ago

Complete this proof.

Mathematics

2 answers:

devlian [24]3 years ago

5 0

I hope this helps you get your assignment done!

Alja [10]3 years ago

3 0

Answer:

1) distributive property

2) subtraction property of equality

3) division property of equality

Step-by-step explanation:

Given : If $\frac{1}{2}(8x+14)=39$ , then x=8

To complete the proof :

Solution :

Following are the complete steps or proof of solving the given expression,

$\frac{1}{2}(8x+14)=39$ is given

$4x + 7 = 39$ - distributive property

$4x = 32$ - subtraction property of equality

$x = 8$ - division property of equality

You might be interested in

Help me plz Write a phrase as an algebraic expression when n = the number. (a number minus 4)

Blizzard [7]

Answer:

n-4

Step-by-step explanation:

n= the number

a number minus 4

n-4

5 0

3 years ago

Read 2 more answers

HELP PLEASE!!!!!!!!!!!!

miskamm [114]

Given that < 1 and < 3 are corresponding angles with the same measure, and that < 1 and m < 38 ° are supplementary angles in which their measures add up to 180°:

Then:

m< 1 + m < 38° = 180°

m < 1 = 180° — m < 38°

m < 1 = 142°

Since m < 1 = m < 3, then m < 3 = 142°

7 0

3 years ago

If Mrs Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups

guapka [62]

The question means that when the number is 1 more than a multiple of 4 and two more than a multiple of 5. Write out multiples of 4 with one added on to them.
5,9,13,17,21,
Then write out multiples of 5 with one added on to them
7,12,17,22,
The smallest number that both lists share is 17, so that is the answer

6 0

3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

umka2103 [35]

Answer:

$\displaystyle 2$

Step-by-step explanation:

$\displaystyle \frac{150}{4^3} = \frac{150}{64} = 2\frac{11}{32} ≈ 2$

Since the common ratio is 4, starting from the 3rd murder, you divide 150 by the cube of 4 [64].

I am joyous to assist you anytime.

5 0

3 years ago

Abby bought two slices of pizza and three bottles of water for $7.25 Cameron bought four slices of pizza and one bottle of water

grin007 [14]

The solution is price of 1 slice of pizza is $ 1.75 and price of 1 bottle of water is $ 1.25

Solution:

Let "p" be the price of 1 slice of pizza

Let "b" be the price of 1 bottle of water

Given that Abby bought two slices of pizza and three bottles of water for $7.25

So we can frame a equation as:

two slices of pizza x price of 1 slice of pizza + three bottles of water x price of 1 bottle of water = $ 7.25

$2 \times p + 3 \times b = 7.25$

2p + 3b = 7.25 ------- eqn 1

Cameron bought four slices of pizza and one bottle of water for $8.25

So we can frame a equation as:

four slices of pizza x price of 1 slice of pizza + one bottles of water x price of 1 bottle of water = $ 8.25

$4 \times p + 1 \times b = 8.25$

4p + 1b = 8.25 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "p" and "b"

Multiply eqn 1 by 2

4p + 6b = 14.5 ----- eqn 3

Subtract eqn 2 from eqn 3

4p + 6b = 14.5

4p + 1b = 8.25

( - ) ------------------

5b = 6.25

b = 1.25

Substitute b = 1.25 in eqn 1

2p + 3b = 7.25

2p + 3(1.25) = 7.25

2p + 3.75 = 7.25

2p = 3.5

p = 1.75

Summarizing the results:

price of 1 slice of pizza = $ 1.75

price of 1 bottle of water = $ 1.25

4 0

3 years ago