1) Final expression: 
2) Final expression: 
Step-by-step explanation:
1)
The first expression is
First, we remove the 2nd bracket by changing the sign of all the terms inside:
Now we group the terms with same degree together:
Now we solve the expression in each brackets:
So, this is the final expression.
2)
The second expression is
We apply the distributive property, so we rewrite the expression as follows:
Solving both brackets,
Now we group terms of same degree together:
And solving each bracket,
So, this is the final expression.
Learn how to simplify expressions:
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Answer:
1) 28.4 miles per gallon
2) 34 miles per gallon
3) the red car
Step-by-step explanation:
Blue car:
Travels 35 1/2 miles on 1 1/4 gallons of gasoline
Red car:
Travels 27 1/5 miles on 4/5 gallons of gasoline
We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:
Blue car:
(35 1/2) / (1 1/4) = 28.4 miles per gallon
Red car:
(27 1/5) / (4/5) = 34 miles per gallon
The red car travels greater distance with 1 gallon of gasoline {and thats about it!}
Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°
Answer:
1 inch = 82 miles
Step-by-step explanation:
You can divide each of the terms of this ratio by 14 to get the ratio for 1 inch:
14 in : 1148 mi
= (14 in)/14 : (1148 mi)/14
= 1 in : 82 mi
