In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
V=4/3πr^3
36π=4/3πr^3
3/4(36π)=(4/3πr^3)3/4
27π=πr^3
π(27π)=r^3
27=r^3
square root
r=3
s.a=4πr^2
s.a=4π(3^2)
s.a=4π(9)
s.a=36π
Answer:
1 7/8 and 5/4
Step-by-step explanation:
when you multiply them together you get
2 11/32
Answer:
Velocity = displacement / time
Distance = 3t^2 +2t +6 to find distance you need to plug in time = 2 sec
Distance = 3(2)^2 +2(2) +6
Distance = 3(4) +4 + 6
Distance = 12 + 4 +6
Distance = 22 meters
In this problem the displacement is the distance.
so
Velocity = 22 meters / 2 second
Velocity = 11 meters/second
Does this help?
Step-by-step explanation:
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 2
Putting y=3.5 in Eqn 1
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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