Answer:
1) 28.4 miles per gallon
2) 34 miles per gallon
3) the red car
Step-by-step explanation:
We have the following information:
<em>Travels 35 1/2 miles on 1 1/4 gallons of gasoline</em>
<em>Travels 27 1/5 miles on 4/5 gallons of gasoline</em>
<em />
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:
(35 1/2) / (1 1/4) = 28.4 miles per gallon
(27 1/5) / (4/5) = 34 miles per gallon
The red car travels greater distance with 1 gallon of gasoline
Answer:
No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in.
For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.
2
in.
+
3
in.
=
5
in.
5
in.
<
6
in.
For a triangle with sides 3 in., 4 in. and 5 in. which can form a triangle:
3 + 4 = 7 which is greater than 5
3 + 5 = 8 which is greater than 4
4 + 5 = 9 which is greater than 3
Step-by-step explanation:
Answer:
$57.50
Step-by-step explanation:
- 75(0.2 discount)
- =15
- 75-15
- =50
- 50(0.15 sales tax)
- =7.50
- 50+7.50
- =57.50
Can you mark me brainliest on both of my answers pleaseee. I would appreciate it (✿◠‿◠)
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
