Answer:
95 city and 175 highway miles.
Step-by-step explanation:
The driver gets 20 mpg in city, and 28 mpg on the highway.
An equation that could be written is
20x+28y=270
This equation accounts for the distance traveled.
x+y=11
This equotion accounts for how many gallons were driven.
Multiply the bottom equation by 20, so you can solve the set of equations.
20x+28y=270
20x+20y=220
subtract them
8y=50
y=6.25
now plug this back into x+y=11
x+6.25=11
x=4.75
Now 4.75×20=95 city miles and 6.25×28=175 highway miles.
The area of the small poster is 160 inches square
<h3>How to determine the area</h3>
From the information given, we have the poster to take the form of a rectangle
The formula for area of a rectangle is;
Area = length × width
For the smaller poster created using a scale of factor 2/3
Length = 2/ 3 × 24
Length = 16 inches
Width = 2/ 3 × 15
Width = 10 inches
Substitute into the formula
Area = 16 × 10
Area = 160 inches square
Thus, the area of the small poster is 160 inches square
Learn more about area here:
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Answer:
A
Step-by-step explanation:
Step-by-step explanation:
AO = DO
2x+3 = 5x
3 = 5x-2x
3 = 3x
x = 1
DO = 5(1)=5cm
AC = 2×5 = 10cm
BC =√10²-8²
= √100-64
=√36
=6 cm
therefore, the perimeter of the rectangle
= 2×(8+6) = 2(14) = 28 cm
Answer:
Hypotenuse= 180.7 cm
Step-by-step explanation:
Using Pythagoras' theorem:
a^2+b^2=c^2 (let c= Hypotenuse "H")
(136)^2 + (119)^2 = H^2
18496+14161 =H^2
H^2= 32657
Taking square root on both sides
= 
H=180.7
