9. It is a very good idea to divide by the smallest numbers.
First divide by 2 as many times as you can, then by 3, and so on:
110=2*55 (2 is an obvious factor, since the number ends with 0)
2*55=2*5*11 (5 is an obvious factor since the number ends with 5)
10.a
to find a number with factors 2, 3, 5, just multiply these numbers with any other number you want.
number 1: 2*3*5*4=120
number 2: 2*3*5*9=270
The greatest common factor of these 2 numbers is 2*3*5
any combination of these numbers is a common factor to number 1 and number 2,
so these numbers have in common the factors:
2*3=6, 3*5=15, 2*5=10, 2*3*5=30
that is {6, 10, 15, 30}
b.
a number with 8 as a factor, has also 2 and 4 as factors.
so a number with factors 2, 4 and 8 can be found by simply multiplying 8 by any number.
number 1: 8*5=40
number 2: 8*11=88
number 3: 8*500=4,000
these numbers have in common that they all are multiples of 8 (their greatest common divisor is 8)
Answer:
Option A is correct.
The given expression : then;
Step-by-step explanation:
Given the expression:
Cross multiplication the given expression following steps are as follow;
- Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction
- Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
- then, set the two products equal to each other.
Using cross multiplication, on the given expression;
First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)
we have;
Simplify:
[1]
now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]
we have;
Simplify:
Therefore, the given expression is equal to:
Well, if each book only costs 0.25, then
Sonia bought 9 books
John bought 24 books
Keisha bought 15 books
If each book costs 0.75, then
Sonia bought 3 books
John bought 8 books
Keisha bought 5 books
Use Pythagoras to get the height, the use it to find x:
26^2-11^2 =555
555^1/2(square root of 555)
=23.55843798 ~you need this number left as it is for a more accurate answer.
Then you do
42^2-23.55...^2(which we know is 555)
Then whatever that equals you square root that
Then you round up the answer to that to get the final answer.
I left the last part so you can do it and do some active learning, if you have more questions on this please feel free to ask, hope this helps
$1.75 by 5 is equal to $8.75. And if you were to do by 6 it would be 50 cents over. So Max can only buy 5 caramel apples.