Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
Answer: Choice B) 5/8
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Explanation:
There are 10 dots that represent a measurement larger than 1/2 a foot (either the dot is over 5/8 or 3/4 or 7/8). Call this value A, so A = 10.
There are 16 dots total. Call this B, so B = 16.
Divide A over B and then reduce: A/B = 10/16 = 5/8 so that is why the answer is choice B
Coincidentally, we end up with 5/8 but that is not the same as the "5/8" as shown on the chart. It just means that if we had 8 people, the 5 of them would have a foot size larger than half a foot.
Answer:
6x = 120
Step-by-step explanation:
Let the number be " x ".
The product of 6 and a number,
6 * x = 6x
The product of 6 and a number is 120,
6x = 120
Therefore,
the algebraic form is 6x = 120.
Answer:
x < 6
Step-by-step explanation:
subtract 21 on both sides
-4x > -24
divide both sides by -4 and flip the sign (bc you're dividing by a negative)
x < 6