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2 years ago

11

The sum of a number and seven more than the number is 43. What is the number?

1 answer:

Viefleur [7K]2 years ago

8 0

Answer:

18

Step-by-step explanation:

we can use the variable x to represent the number since it's currently unknown

seven more than the number can be represented as x + 7
we can find the sum of both by adding them

x + x + 7 = 43

2x + 7 = 43

-7 -7

2x = 36

we divide by 2 on both sides to isolate x

x = 18

You might be interested in

Which of the following ratios is equivalent to 24:36?

Ksju [112]

Answer:

D, 20:30

Step-by-step explanation:

At first glance, this does not seem like the correct ratio. But I'll spare you a long intro and get into it:

20:30: Divide both of them by 10

=2:3

2 x 12:3 x 12

24:36

Hope this helps!

4 0

2 years ago

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving AC > EF

VARVARA [1.3K]

<em>Answer:</em>

Complete proof is written below.

Facts and explanation about the segments shown in question :

As BC = EF is a given statement in the question
AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.

Below is the complete proof of the observation given in the question:

<em />

<em>STATEMENT REASON </em>

___________________________________________________

1. BC = EF 1. Given

2. AB + BC = AC 2. Betweenness

3. AC > BC 3. Def. of segment inequality

4. AC > EF 4. Def. of congruent segments

<em />

<em>Keywords: statement, length, reason, proof</em>

<em> Learn more about proof from brainly.com/question/13005321</em>

<em> #learnwithBrainly</em>

4 0

3 years ago

Explain why vertical angles cannot be adjacent angles?

iris [78.8K]

Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.

6 0

3 years ago

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

so

$x=37\ packages\ of\ Twinkies$

7 0

3 years ago

Evaluate the function.

wolverine [178]

Answer:

-87

Step-by-step explanation:

-(-7^2) + 6(-7) + 4

-49 -42 + 4

-87

7 0

2 years ago

Read 2 more answers