Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
Divide both sides by 55.
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
Answer:
69.75 square inches
Step-by-step explanation:
Add the top and bottom lengths then divide by 2 before multiplying it with the height
1/2x(3+12.5)=7.75
7.75x9=69.75
The slope is 2/3 since the slope formula is y=mx+b the mx is we’re the slope y-int is.
Given that
XY*8 = YYY ⇒⇒⇒ Where X and Y are digits
So, X is equal to one of the digits from 1 to 9
and Y is one of the digits from 1 to 9
This can be solved as following
YYY = 100Y + 10Y + Y = Y(100+10+1) = 111Y
XY*8 = 8 (10X + Y) = 80X + 8Y
∴ 80X + 8Y = 111Y
∴ 80 X = 111Y - 8 Y
∴ 80 X = 103 Y
∴ Y = 80X/103
substitute with X = 1 to 9
X = 1 ⇒⇒⇒ Y = 0.77 ⇒⇒ unacceptable
X = 2 ⇒⇒⇒ Y = 1.55 ⇒⇒ unacceptable
X = 3 ⇒⇒⇒ Y = 2.33 ⇒⇒ unacceptable
X = 4 ⇒⇒⇒ Y = 3.11 ⇒⇒ unacceptable
X = 5 ⇒⇒⇒ Y = 3.88 ⇒⇒ unacceptable
X = 6 ⇒⇒⇒ Y = 4.66 ⇒⇒ unacceptable
X = 7 ⇒⇒⇒ Y = 5.44 ⇒⇒ unacceptable
X = 8 ⇒⇒⇒ Y = 6.21 ⇒⇒ unacceptable
X = 9 ⇒⇒⇒ Y = 6.99 ⇒⇒ unacceptable
So, The is no value of Y to achieve ⇒⇒ XY * 8 = YYY
================================================
I think the problem is as following:
Given that XY8 = YYY ⇒⇒⇒ Where X and Y are digits
So, X is equal to one of the digits from 1 to 9
and Y is one of the digits from 1 to 9
This can be solved as following
YYY = 100Y + 10Y + Y = Y(100+10+1) = 111Y
XY8 = 100X + 10Y + 8
∴ 100X + 10Y + 8 = 111Y
∴ 100x + 8 = 101Y
∴ Y = (100X + 8)/101
substitute with X = 1 to 9
X = 1 ⇒⇒⇒ Y = 1.07 ⇒⇒ unacceptable
X = 2 ⇒⇒⇒ Y = 2.06 ⇒⇒ unacceptable
X = 3 ⇒⇒⇒ Y = 3.05 ⇒⇒ unacceptable
X = 4 ⇒⇒⇒ Y = 4.04 ⇒⇒ unacceptable
X = 5 ⇒⇒⇒ Y = 5.03 ⇒⇒ unacceptable
X = 6 ⇒⇒⇒ Y = 6.02 ⇒⇒ unacceptable
X = 7 ⇒⇒⇒ Y = 7.01 ⇒⇒ unacceptable
X = 8 ⇒⇒⇒ Y = 8 ⇒⇒⇒ integer ⇒⇒ the correct answer
X = 9 ⇒⇒⇒ Y =8.99 ⇒⇒ unacceptable
So, The value of Y = 8
Answer:
Water - 62.5 pounds per cubic foot
18.25 cubic feet would weigh 18.25 * 62.5 =
1,140.625 pounds.
Step-by-step explanation:
