Answer:
C.
Step-by-step explanation:
Answer:
10 five-point questions and 40 two-point questions
Step-by-step explanation:
Let x represent the total number of five-point questions and y represent the total number of two-point questions.
Equation 1: 5x+2y=130
Equation 2: x+y=50
Multiplying Equation 2 by 2: 2x+2y=100 (Equation 3)
(Equation 1) - (Equation 3): 3x=30
x=10
Substituting x=10 into x+y=50: 10+y=50
y=40
Therefore, there are 10 five-point questions and 40 two-point questions.
<h2><u>Check</u></h2>
Substituting x=10 and y=40 into Equation 1:
LHS=5x+2y=5(10)+2(40)=50+80=130
RHS=130
LHS=RHS
Substituting x=10 and y=40 into Equation 2:
LHS=x+y=10+40=50
RHS=50
LHS=RHS
Since in both cases the left-hand side is equal to the right-hand side, the answer is correct.
(LHS: left-hand side, RHS: right-hand side)
9514 1404 393
Answer:
A) (3 cm x 4 cm ÷ 2) x 3 cm
Step-by-step explanation:
The volume is the product of the area of the triangular bases and the distance between them.
Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...
A = (1/2)bh
A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2
__
The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...
V = Bh
V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A
There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.
It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.
Answer:
y=-2/5x+2
Step-by-step explanation:
12 x 6 equals 72 so 72 + 7 = 79 :)
Your answer is 79
