Answer:
Length of the boxes are 17 in, 35 in, 17 in.
Step-by-step explanation:
The given question is incomplete: please find the complete question in the attachment.
A). From Box - (1)
Area of the box = 289 in.²
Expression that denotes the area of the box = 36x² - 12x + 1
So, 36x²- 12x + 1 = 289
(6x)² - 2(6)x + (1)² = (17)²
(6x - 1)² = (17)² [ Since (a² - 2ab + b²) = (a - b)²]
Given box is a square having sides = (6x - 1) in.
∵ (6x - 1)² = 17
⇒ 6x = 18
⇒ x = 
= 3
Now length of the sides = (6x - 1) = 17 in.
B) Box - (2)
Similarly, 25x²- 50x + 25 = 1225
(25x² - 50x + 25) = (35)²
(5x - 5)² = (35)²
5(x - 1) = 35 ⇒ x = 8
Here length of one side of the box is 5(x - 1) = 5(8 - 1) = 35in.
C). Box - (3)
49x² - 56x + 16 = 289
(7x)² - 2×(7x)(4) + 4²= (17)²
(7x - 4)² = (17)²
Length of each side = (7x - 4) in.
From, (7x - 4)² = (17)²
7x - 4 = 17
⇒ x = 
⇒ x = 3
Therefore, length of each side of the box = (7x - 4) = 17 in.
Answer:
119
Step-by-step explanation:
it will be the same as 8 because they are adjacent..
Since the intersection is - by definition - common to both sets, we can work out the number of people that use only the fitness suite or the swimming pool.
We know that 57 people use the fitness suite, but 36 of those are already counted in the intersection. So, 57-36=21 people use only the fitness suite.
The same goes for the swimming pool: 49-36=13 people use only the swimming pool.
So, we have:
- 21 people using fitness suite only
- 13 people using swimmng pool only
- 36 people using both
This sums to 21+13+36=70 people. We deduce that 30 people don't use any of the features.
Answer:
16x=16x+1
0=1
Step-by-step explanation:
4x+12+12x+12+5=16x+30
16x+29=16x+30
16x=16x+1
Answer:
The answer for number 1 would be 57 dollars and 80 cents
Number two would be little ceasars
Number 3 would be 75 dollars and 60 cent
Number 4 would be 40 dollars and 80 cent
Number 5 would be 110 dollars and 98 cents
Step-by-step explanation:
Because of you take 68 and times it by 15% which would be .15 you would get 10.2 you would then take 68 and subtract 10.2 from it and get 57.8
Number 2: take 7.50 times it by .3 and you get 2.25 then subtract 2.25 from 7.50 and you get 5.25 so even with the coupon little ceasars pizza is still 25cent cheaper
Number 3: add 42 to 28 and you get 70. 8% of 70 is 5.6 so add 5.6 to 70 and you have your answer of 75.60
Number 4: 35.48 is the price alone. Times that number by .15 and you get 5.322. Add 35.48 and 5.322 to get 40.802 but for money wise you just need the 40.80
Number 5: 118 one again is the price standing alone but 118 multiplied by .10 is 11.8 so subtract 11.8 from 118 and you get 106.2 but there is still a sales tax. So 106.2 times .045 or 4.5% would be 4.779, add that number to 106.2 and you get 110.979. Now the problem did not say anything about rounding but the 9 would make the 7 an 8 so of you do that you get 110.98.
So to help you in the future when dealing with percentages with discounts and tax’s. if it’s a discount once you times the original number by the percentage you subtract the sum from the original number. As for taxes you do the same process but instead of subtracting you add
