Answer:
wat
Step-by-step explanation:
-101=7+3(-4+4n)
multiply 3 and the parentheses
-101=7-12+12n
simplify
-101=-5+12n
add 5 on both sides
-96=12n
divide both sides by 12
-8=n
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
You can solve this exercise as below (View the figure attached):
1.Divide the figure in four equals parts. Now we have 4 rectangles with the same dimensions.
2.Choose the rectangle that has the angle given in the problem, which we will call "α" (α=59°).
3. We must remember that the sum of the internal angles of a triangle is 180°. We have α=59° and the right angle, so we can find the other one, which we will call "β1":
β1=180°-90°-59° β1=31°
4. As we can see in the figure, "α" is alternate interior with α1 (α=α1=59°) and β1 is alternate interior with m∠11 (β1=m∠11=31°).
5. The others rectangles have the same dimensions of the rectangle we chose, so they have the same angles too.
We can notice in the figure that m∠7+m∠8+m∠9+m∠10= 360°
The answer is:
m∠1=59°
m∠2=31°
m∠3=59°
m∠4=31°
m∠5=31°
m∠6=59°
m∠7=118°
m∠8=62°
m∠9=62°
m∠10=118°
m∠11=31°
B is the correct answer. To find out why it is, we can simply put 2,800, the whole, as 100% and 6.2 into x=6.2. The left sides of both of them have the same units, and both right sides have the same units, so we can do something such as 2800/x=100%/6.2%. Then, you simply solve for x.
STEPS:
2800/x=100/6.2
<span>(2800/x)*x=(100/6.2)*x - </span>we multiply both sides of the equation by x
<span>2800=16.129032258065*x - </span>we divide both sides of the equation by (16.129032258065) to get x
<span>2800/16.129032258065=x </span>
<span>173.6=x </span>
<span>x=173.6</span>