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prisoha [69]
3 years ago
15

Craig went to see a play at a theater downtown. The first act was 45 minutes long. Intermission lasted for 55 minutes and the se

cond act was 1 hour and 10 minutes long . The second act ended at 8 :00 pm. What time did the play start?
Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Answer:

The play started at 5:10 PM.        

Step-by-step explanation:

We are given the following in the question:

Length of first act = 45 minutes

Length of intermission = 55 minutes

Length of second act = 1 hour and 10 minutes

1 hour = 60 minutes

Thus, length of second act =

=60+10\\=70\text{ minutes}

The second part ended at 8:00 PM. We have to find the starting time of play.

Starting time of play =

= 8-\dfrac{45+55+70}{60}\\=8 - 3\text{ hours} + 10\text{ minute}\\=5:10\text{ PM}

Thus, the play started at 5:10 PM.

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√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
At this rate, would a person your age (18 years old) have contributed a ton of garbage? On average, how long does it take for ea
Sloan [31]

Answer: Yes. On average, it takes about 455 days for 1 person to throw away 1 ton of garbage, so just over 1 year.

Step-by-step explanation: The average person throws away 4.4 pounds of trash daily. So, the way to figure this out is 2,000 divided by 4.4 to find out the number of days it would take to throw away 2,000 pounds of trash.

6 0
3 years ago
260 years equals:
uranmaximum [27]
It would have to be letter D my guy, if you know what centuries and decades are this is easy
6 0
3 years ago
Read 2 more answers
Express in the form n:1 give n as a decimal 21:12
Makovka662 [10]

1.75:1 which is similar to n:1 where n=1.75

<u>Step-by-step explanation:</u>

Here we have to Express in the form n:1 give n as a decimal 21:12 . Let's find out:

Given ratio as 21:12 . Let's convert it into n:1 , where n is decimal

⇒ 21:12

⇒ \frac{21}{12}

⇒ \frac{3(7)}{3(4)}

⇒ \frac{7}{4}

⇒ \frac{\frac{7}{4}}{\frac{4}{4}}                      { dividing denominator & numerator by 4 }

⇒ \frac{\frac{7}{4}}{1}

⇒ \frac{1.75}{1}

⇒ 1.75:1 which is similar to n:1 where n=1.75

7 0
3 years ago
4 / 7 + −1 / 3 <br> HELP PLAESEEEEE
sasho [114]

Answer:

are those fractions or division signs

Step-by-step explanation:

.........................

6 0
3 years ago
Read 2 more answers
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