X = 15
X + 90 = 7x
X = 7x - 90
X - 7x = -90
-6x = 90
Divide both sides by -6
X = 15
Answer:
y = -4x - 9
Step-by-step explanation:
Use slope intercept form, y = mx + b, where m is the slope and b is the y intercept.
Since we are already given the slope and y intercept, we just have to plug them into the equation to find the equation:
y = mx + b
y = -4x - 9
So, y = -4x - 9 is the equation of the line in slope intercept form
Answer:
172 ft
Step-by-step explanation:
Due south and due east form a 90-degree angle.
Her path is a right triangle. The 60 ft and 40 ft distances are the legs of the right triangle. We can use the Pythagorean theorem to find the hypotenuse. Then we add the lengths of the three sides to find the total distance she traveled which is the perimeter of the right triangle.
a^2 + b^2 = c^2
(40 ft)^2 + (60 ft)^2 = c^2
1600 ft^2 + 3600 ft^2 = c^2
c^2 = 5200 ft^2
c = 72 ft
perimeter = a + b + c = 40 ft + 60 ft + 72 ft = 172 ft
Answer:
25%
Step-by-step explanation:
Given data
original quantity =12
new quantity =15
% increase= new-original/original *100
% increase= 15-12/12 *100
% increase= 3/12 *100
% increase=0.25 *100
% increase=25%
hence the increase is 25%.
Answer:
$8 each
Step-by-step explanation:
We know Sally has $77 to spend. She bought 8 books, and was then left with $13. First, let's subtract 13 from 77 to see how much it cost in total.
77 - 13 = 64
Now, to find out how many each book cost, we have to divide the total amount by how many books Sally got.
64 / 8 = 8
Each book cost $8.
