Answer:
14a⁴b
Step-by-step explanation:
Factors of 28a⁴b⁸c7:
2²×7×a⁴×b⁸×c⁷
Factors of 98a⁵b:
2×7²×a⁵×b
For GCF collect the common factors:
2×7×a⁴×b
GCF = 14a⁴b
The net amount they raise is the amount they receive minus what they pay in expenses.
They receive:
$10,000 fixed amount in donations
$55 per person
They pay:
$15 per person
If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.
The net amount they raise is amount they receive min us amount they pay:
55x + 10,000 - 15x
which simplifies to
40x + 10,0000
They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.
Now we write the inequality:
40x + 10,000 >= 55,000
Now we solve the inequality for x, the number of entries.
40x >= 45,000
x >= 1125
They must have 1125 or more race entries to raise $55,000.
Answer: 48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
Step-by-step explanation:
Answer:
D—
The histogram will have a horizontal or an x axis of time/minute intervals of the calls (5 minutes in each), and the vertical axis or y axis will be the number of calls made.
