This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.
Answer:
3sqrt(2) ................
A = lw
44 = 3 2/3 w
w = 44 / (3 2/3)
w = 12
Answer:
The plumber worked for 1.5 hours
Step-by-step explanation:
y = 130 + 56x
Substitute 214 for y in the equation
214 = 130 + 56x
-130 -130 Subtract 130 from both sides
84 = 56x Divide both sides by 56
1.5 = x
Answer:
30 forks
Step-by-step explanation:
Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.
Forks: spoons
= 15: 25
= 3: 5
This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.
Number of forks= 3u
Number of spoons= 5u
Units shall be represented by the letter u from this point forth.
Now, we can form an equation using the total number of utensils in the cafeteria.
Assuming that the utensils in the cafeteria are only forks and spoons,
number of fork and spoons= 80
3u +5u= 80
8u= 80
Let's solve for u.
Divide by 8 on both sides:
1u= 80 ÷8
1u= 10
This means that 1 unit represents 10 utensils.
Substitute the value of u into the expression of the number of forks:
Number of forks
= 3u
= 3(10)
= 30
Thus, there are <u>30 forks</u> in the cafeteria.
