You would subtract 15 on both sides and then you would have 2x=-14 then you divide both sides by 2 and x would equal -7
Answer:
150 minutes
Step-by-step explanation:
First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.
To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.
3/4 h =
3/4 * 60 = 45m
5/6 h =
5/6 * 60 = 50m
11/12 h =
11/12 * 60 = 55m
to calculate the total number of minutes we have to add the 3 values that we have
45m + 50m + 55m = 150m
Answer:
A. 3 x W - 23
Step-by-step explanation:
Profit is equal to money made minus costs
Let P equal profit. We know the costs were 23, and they made 3 dollars per cookie. If they sold W bags of cookies, the money made is 3*W
P = 3*W - 23
Answer:
The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.
Answer:
perimeter = 28.68 cm
area = 15.48 cm^2
Step-by-step explanation:
1. complete the angles in the triangle. sum of all the angles in a triangle is 180 degrees.
therefore 180 - (60 +45) = 75
angle at B is 75 degrees
2. find the sides of the triangle using the sine formula for triangle
sin A/a = sin B/b = sin C/c
we have the angle at C and the side opposite C is also give, we can use that with any other
3. sin A/a = sin C/c
sin 60/a = sin 45/8
make a subject
a = 9.78 cm
4. sin A/a = sin B/b
sin 60/9.78 = sin 75/b
make b subject
b = 10.90 cm
with the three sides, we know that perimeter is the length around an object
adding all the lengths together will give the perimeter
perimeter = 10.90 + 8 + 9.78
= 28.68 cm
5. to find the area we need to find the high of the triangle since the expression for the area of a triangle is 
6. bisecting the side BC will give have as 4.89 cm
7. using Pythagoras theorem we can find the height of the traingle
c^2 = a^2 + b^2
8^2=(4.89)^2 + b^2
64 - 23.9121 = b^2
b= 
b =6.33 cm
insert this into the formula above will give the value for area
which is 15.48 cm^2
area = 1/2 (4.89)(6.33)