Answer:
p = 10
q = 4
Step-by-step explanation:
10/p = 1
<em>(multiply both sides by p)</em>
10 = 1p
10 = p
250 = 1000/q
<em>(multiply both sides by q)</em>
250q = 1000
<em>(divide both sides by 250)</em>
q = 4
Hope this helps!
Answer:
81
Step-by-step explanation:
3 to the power of 4 means 3 x 3 x 3 x 3 = 81
First figure out how many people are 1/4 of 84 by dividing 84 by 4 =21. Then multiply 21 by 3 to figure out how many people are 3/4 of 84 =63. 63 people guessed incorrectly and 21 people guessed correctly:)
Answer: 30
Explanation: To find the least common multiple of <em>lcm</em> of 5 and 6, we begin by listing the first few multiples of each number.
<em><u>Multiples of 5</u></em>
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
5 x 5 = 25
6 x 5 = 30
Notice that we skipped 0 x 6 in our list of multiples. That's because 0 x 6 is 0 and our least common multiple can't be 0.
Next we list the multiples of 6. When we list the multiples of 6, it's a good idea to keep an eye on the list of multiples for 6 so that we know when we have found a least common multiple.
<u><em>Multiples of 6</em></u>
1 x 6 = 6
2 x 6 = 12
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30
Notice that 30 appears in both lists so we can stop here.
This means that the least common multiple of 5 and 6 is 30.
The triangle is isosceles, so the two marked side lengths are equal. Thus, 3x - 6 = x + 2, x = 4.