Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.
Therefore, she have total 7 courses.
So, we calculate the number of combinations to choose 4 out of 7 courses.
We get:
So the number of total combinations is 35.
Answer:
$2100
Step-by-step explanation:
1/3 of 4500 is 1500
to find 1/3 of a number is to multiply by 1/3
1/3 * 4500 = 1500
$1500 is for savings
subtract 1500 from 4500
4500 - 1500 = 3000
the remaining money is $3000
to find 50% of something, divide by 2
3000/2 = 1500
$1500 is spent on food.
20% of 3000 is 600
to find 20% of something, multiply the decimal value (0.2)
0.2 * 3000 = 600
$600 are spent on rent.
$450 leftover
1500 + 600 = 2100
Food and rent cost $2100
hope this helps:)
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200
<span>Cylinder Volume = </span><span>π <span>• r² • height
height = </span></span><span>Cylinder Volume / (PI * radius^2)
</span><span>height = 500 cubic inches / 3.14159 * 16
</span><span><span><span>height = 9.9471839432
</span>
</span>
</span>
<span>height = 9.95 (rounded)
</span>
The initial velocity is -150m/s.
Remember that:
V(t) = Vi + at, where v(t) is velocity at time t, Vi is initial velocity, and a is acceleration.
We know that the vehicle stopped after 30 seconds, so V(30) = 0.
Let's plug the useful info into our function and solve for a:
0 = -150 + a*30 Add 150 to both sides
150 = 30a Divide both sides by 30
a = 5 m/s²
The average acceleration is 5 meters per second squared.
