Answer:

Step-by-step explanation:
Option D
Using the distributive property, -7(8x – 3) + x = -55x + 21
<em><u>Solution:</u></em>
Given that we have to use distributive property to simplify the given expression
Given expression is:
-7(8x – 3) + x
Let us first understand about distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
<em><u>The distributive property is represented as:</u></em>
a(b + c) = ab + ac
Apply this property in given expression for -7(8x - 3)

Apply the above result in given expression

Combine the like terms. Add -56x and x

Thus the given expression is simplified. Option D is correct
Answer:
x = 8
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent hence 8x + 36 = 5x + 60
( Notice that we just created an equation that we can use to solve for x )
We now solve for x algebraically
8x + 36 = 5x + 60
Step 1: Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 60
Outcome: 3x + 36 = 60
Step 2: Subtract 36 from both sides
3x + 36 - 36 = 60 - 36
Outcome: 3x = 24
Step 3: Divide both sides by 3
3x/3 = 24/3
Outcome: x = 8
Answer:
There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.
Step-by-step explanation:
a) What is the probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected?
The problem states that 40% of the travelers on vacation check work email. And 16% of them check both work email and use a cell phone.
So, the probability is the division of those who use both email and cellphone by those who use email.

There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.
Answer:
parallel: y=7x+5
perpendicular: -1/7x-15
Step-by-step explanation:
when finding an equation for a parallel line the slopes stay the same and the y intercept changes.
when finding a perpendicular lines you flip your fraction, so in this instance it's 7/1 so then it would be 1/7, then you make your numerator the opposite. so in this instance the numerator was positive 1 so turn it negative.