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Answer:
3a²b
Step-by-step explanation:
The product of two algebraic
terms is 6a3b2. If one of the terms is
2ab, find the other term.
Let us represent
First term = a
Other term = b
a × b = 6a³b²
a = 2ab
b = ?
b = 6a³b²/a
b = 6a³b²/2ab
b = 6a³b²/2a¹b¹
b = (6 ÷ 2) × a^3 - 1 × b ^2 - 1
b = 3a²b
Therefore, the other term = 3a²b
Answer:
202500
Step-by-step explanation:
15x0.45=6.75
30000x6.75=202500
Answer:
Step-by-step explanation:
<u>Let the numbers be x, y and z</u>
- x + y + z = 24
- 2y = z + 2
- z = x + y
<u>Solving by substitution:</u>
- x + y + z = z + z = 24
- 2z = 24
- z = 12
- 2y = z + 2
- 2y = 12 + 2
- 2y = 14
- y = 7
- z = x + y
- x = z - y
- x = 12 - 7 = 5
<u>The answer:</u>
Just measure the width (or height, if you'll be stacking the pennies
a mile high) of a penny, then divide 5280 feet by whatever you find.
This is a great activity for a class, and in fact a good way to start
the project. First take one penny, and work out an answer. Then get
100 pennies, and measure them; do the same calculation to see how many
pennies it will take to make a mile. There will probably be a
difference, because you can measure 100 pennies more accurately than a
single penny. Or maybe you have a micrometer that will measure one
penny precisely. Which is better can be a good discussion starter. And
don't forget to try it in metric, too.
Just to illustrate, using a very rough estimate of a penny's width,
let's say a penny is about 3/4 inch wide. The number of pennies in a
mile will be
5280 ft 12 in 1 penny
1 mile * ------- * ----- * ------- = 5280 * 12 * 4/3 pennies
1 mi 1 ft 3/4 in
This gives about 84,480 pennies. (This method of doing calculations
with units is very helpful, and would be worth teaching.)
If we measure 100 pennies as 6 ft 1 in, we will get
5280 ft 100 pennies
1 mile * ------- * ----------- = 5280 * 100 * 12 / 73 pennies
1 mi 6 1/12 ft
This gives us 86794.5205 pennies in a mile.
