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irinina [24]
3 years ago
11

The room numbers on one side of a school corridor are consecutive positive even integers. The product of The room numbers for tw

o adjoining rooms on that side is 7224. Find the room numbers.
Mathematics
1 answer:
Vinvika [58]3 years ago
8 0
Numbers are n, n+2 and we have n(n+2)=7224. Or
n^2+2n-7224=0
Using the quadratic equation
n=84. So n+2=86
The numbers are 84, 86
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FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ
Deffense [45]

Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
3 years ago
Read 2 more answers
What is 1323/12 in simplified form
Mice21 [21]

Answer:

441/4

Step-by-step explanation:

Find the GCD of numerator and denominator

GCD of 1323 and 12 is 3

Divide both the numerator and denominator by the GCD

1323 ÷ 3

12 ÷ 3

Reduced fraction:

441/4

________

Hope this helps!

-Lexi

4 0
2 years ago
may wants to travel to the wedding a horse-drawn carriage. the horse trots at a speed of 15 km/h and Mary is getting dressed at
zepelin [54]
20min. 1h = 60min
15÷5=3
60÷3=20min
4 0
3 years ago
HELP I NEED HELP FAST. ILL MARK YOU BRAINLIEST.
Romashka-Z-Leto [24]

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!

5 0
2 years ago
Julio just bought a $267,900 house. he had a 20 year mortgage with a fixed rate of 5.875%. julio’s monthly payments are $1,558.0
boyakko [2]

The percent of the purchase price for Julio’s down payment was C. 18%

<h3>What is Interest Rate?</h3>

This refers to the amount of money that is added to a loan collected by a person, for when he makes repayment.

Hence,

Given that

  • PMT monthly payment 1558.09
  • R interest rate 0.05875
  • K compounded monthly 12 because the payment is monthly
  • N time 20 years
  • Pv present value?

We use the formula Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]

Pv= 1,558.09×((1−(1+0.05875÷12)^(−12×20))÷(0.05875÷12))

=219,684.92

Next thing to do is make a subtraction to get the down payment:

267,900−219,684.92=48,215.08

Then the percentage would be:

48,215.08÷267,900= 18% approx.

Read more about interest rates here:

brainly.com/question/25545513

#SPJ4

4 0
2 years ago
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