Answer:
¹²/₇
Step-by-step explanation:
Model ⁴/₇ × 3
Assume that you have three pies, each dived into seven slices.
There are only four slices remaining in each pie, that is, there is ⁴/₇ pie in each pie plate
The picture represents ⁴/₇ × 3.
Model the product
Now, transfer slices to get as many filled pie plates as possible.
Count the total slices.
You have 12 slices, and each slice represents ⅐ of a pie.
You have ¹²/₇ pie.
∴ ⁴/₇ × 3 = ¹²/₇
The given ratio of the sides of the triangles is 4:10:7. Let the sides be 4x, 10x and 7x .
And given perimeter is 252 meters .
Perimeter is the sum of all sides. So we get

Dividing both sides by 21

So the sides are

Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
Answer:
B. The solution is valid because all steps to solve the inequality for F are correct.
Step-by-step explanation:
F - 32 ≤ 0
Add 32 to both sides of the equation to have;
F -32 + 32 ≤ 0 + 32
F ≤ 0 + 32
F ≤ 32
It can be observed that to solve for F, the steps are correct. Thus the solution is valid. Therefore, the correct choice in the given question is the solution is valid because all steps to solve the inequality for F are correct.
Answer:
Perpendicular would be -7
Parallel would be 7
Because m = slope and the m is connected to the x (mx)