Answer:
45 miles
Step-by-step explanation:
1/60 of one hour (60 minutes) equates to 1 minute
Karen is driving 3/4 of a mile in 1 minute to multiply 3/4 and 60 to get 45 miles
The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?
Answer:
Length(L)=22 inches
Width(W) = 7 inches
Step-by-step explanation:
GIven:-
Perimeter (p)=58 inches,
Length(L)= one more than 3 times the width(W)
Let, W=x ---------------------------------(equation 1
-----------------------(equation 2)
Here x is unknown and to find the Width(W) we have to find the value of x.
Now,
Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)
----------------(from equation 1)
----------------(given p=58 inches)
----------------------(equation 3)
Now substituting the value of equation 3 in equation 2.
as, 
-----------------------(from equation 1)
inches -------------------(equation 3)
Therefore, Length(L) = 22 inches and Width(W) = 7 inches.
Answer:
6.1
Step-by-step explanation:
Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.
The short leg of these triangles (the base) is half the side length: ½ s.
According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.
Area of a triangle is half the base times the height:
A = ½bh
8 = ½ (½ s) (½ s√3)
8 = ⅛ s²√3
64 = s²√3
s² = 64/√3
s = √(64/√3)
s ≈ 6.1
Let oil change be x
91 / 7 = x / 11
(91 * 11) / 7 = x
13 * 11 = x
<span>143 = x Ans</span>
The answer
the question is not clear
if it is to determine how to write this phrase as a mathematics equation, it is as follow:
let be x the unknown number
so <span>ighty-seven decreased by three times a number is greater than one hundred sixty-five means 87 - 3x>165,
so we can solve it easily as 87 - 165> 3x, and then 3 x > 32, and finally the value of x is x > 32/3=10.66</span>
