Answer:
A.
General Formulas and Concepts:
<u>Math</u>
- Fraction conversions to decimal
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
Step-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations.
5/2 would be 2.5 and 4/3 would be approximately 1.333.
Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.
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Answer:
Step-by-step explanation:
Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.
2a + 3b =18
Ricardo can fill up 9 2-card pages, and 6 3-card pages.
a=9, b=0
We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:
a=6, b=2
Add 2 to b once more:
a=3, b=4
One more time:
a=0, b=6:
Thus, Ricardo can display his figures in the following page combinations:
a=9, b=0
a=6, b=2
a=3, b=4
a=0, b=6
Remember that a= number of 2-card pages and b=number of 3-card pages
There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.
Answer:
A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.
dH/dt = the rate of change of the height of the water in the tank with respect to the time
B) dV/dt is positive
C) dH/dt is positive
Step-by-step explanation:
We are given that;
V(t) is the volume of water in the tank and H(t) is the height of the water level at time t. Thus;
A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.
dH/dt = the rate of change of the height of the water in the tank with respect to the time
B) When the tank is one-fourth full, dV/dt is positive because the volume water in the tank is increasing with time.
C) when the tank is one-fourth full, dH/dt is positive because the height has increased from zero level to 0.25 times the height of the tank. Thus the height is increasing with time.
Answer:
4
Step-by-step explanation:
2+2-2+4÷2
we go through
P- parentheses
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
also note that we read it from left to right becaue × is not more important than ÷ and same goes to + and -
First step
2+2-2+(4÷2) --> 2+2-2+2
then
2+2-2+2 --> 4-2+2
then
4-2+2 --> 2+2
finally
2+2=4