Answer:
See explanation
Step-by-step explanation:
Let the number of adults = a and the number of children = c.
Since the number of people using the pool is 288, we know that a + c = 288
Based on the price information, we know that 1.75c + 2.5a = 528
Combining these two equations allows us to solve for the values of a and c, the process for which follows
a = 288 - c
1.75c + 2.5(288 - c) = 528
c = 256
a = 288 - c = 288 - 256 = 32
a = 32
c = 256
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(3x − 5) − (4x + 6)
Pretend that there is a 1 in front of the first bracket.
Pretend that there is a -1 in front of the second bracket.
Multiply the first bracket by 1
(1)(3x)=3x, (1)(-5)=-5
Multiply the second bracket by -1
(-1)(4)=-4, (-1)(6)=-6
3x-5-4x-6
3x-4x-5-6 ( combine like terms)
-x-11
Answer: -x-11 or -11-x
Answer = 55,25 inches
Solution -
let's take x as length and y as width of the metal piece. As per the question x is 30 more than y,
⇒ x = y + 30
Then four square pieces of side 6 are cut from each corner,
so the new length and width are
x-12 , y-12
Then the volume of the new box created will be
(x-12)(y-12)6
in the question the volume of the given figure is given to be 3354
so (x-12)(y-12)6 = 3354
putting the value of x in the the above equation
⇒ (y+30 - 12)(x-12) = 3354/6 = 559
⇒ (y+18)(y-12) = 559
⇒ y² + 6y - 775 = 0
⇒ y² + 31y - 25y -775 = 0
⇒ (y+31)(y-25) = 0
⇒ y = -31, 25
as length can not be -ve , so y = 25
then x = 25+30 = 55
Hence the dimensions of the metal piece are 55, 25 inches
Answer:

Step-by-step explanation:
If you have the same denominator, you can just subtract the numerators normally and carry over the denominator.
The surface area of that cube is 8.64 cm