Step-by-step explanation:
the area of a rectangle is
length × width.
our job here is to find all integer values for length and width, so that their product is 90.
that means that length and width are both factors of 90.
the factors of 90 are
1 × 90
2 × 45
3 × 30
5 × 18
6 × 15
9 × 10
10 × 9
15 × 6
18 × 5
30 × 3
45 × 2
90 × 1
the prime number grouping
is
2 45 (can't be divided by 2 anymore, so,
next prime factor)
3 15
3 5 (can't be divided by 3 anymore, so
next prime factor)
5 1 (the end)
so, besides 1 and these prime factors, the only other factors are combinations of these prime factors :
2×3 = 6
2×5 = 10
3×3 = 9
3×5 = 15
2×3×3 = 18
2×5×3 = 30
3×5×3 = 45
The answer to your question is =20
Answer:
Tanaysha replace 8 by ( 10 -2) to solve the given expression.
Step-by-step explanation:
Here, the given expression to be solved is:
72 - 8 .......... (1)
Now, as we know: 8 = 10 - 2
Replacing the value of 8 with ( 10 - 2), we get:
72 - 8
= 72 - (10 - 2)
= 72 - 10 + 2
= (72 + 2 ) - 10
Now, adding ( 72 ) and ( 2) , we get:
= 74 - 10
Subtracting 10 from 74, we get:
= 64
So, Tanaysha replace 8 by ( 10 -2) to solve the given expression.
Answer:
60 + 2.5n ≥ 150
2.5n ≥ 90
n ≥ 36 She must clean 90 tables to earn at least $150.
Step-by-step explanation:
She earns $2.50 for each table she cleans so n represents the number of tables she cleans. You add that to $60. At least must mean that the inequality has to be equal to or bigger than 60 + 2.5n.
Now we just have to solve, which I do for you above in the 'Answer' section.
I hope this helps you!! ^-^
Answer:
<h3>65m</h3>
Step-by-step explanation:
Since we are not asked what to find, we can as well calculate the displacement of Carrie.
Displacement will be gotten using Pythagoras theorem;
Given
direction through west x = -25m
direction through north y = 60m
Required
Displacement d
According to the theorem;
d² = x²+y²
d² = (-25)²+(60)²
d² = 625 + 3600
d² = 4225
d = √4225
d = 65 m
Hence the displacement of Carrie is 65m