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Komok [63]
3 years ago
14

In the diagram, measure angle 3 = 120° and measure angle 12 = 80°. Which

Mathematics
2 answers:
Arada [10]3 years ago
7 0

Answer:

1, 13, 5 are correct

Step-by-step explanation:

vampirchik [111]3 years ago
7 0

Answer: A,B,D,F are correct

Step-by-step explanation:

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Pi High School ordered 40 science books. The next week, the school ordered 30 algebra books. The bill for the first order was $3
maria [59]

Answer:

Each algebra book costs $60.

Step-by-step explanation:

A=bill for algebra books; S=bill for science books=A+$360

S+A=$3960 Substitute for S

A+$360+A=$3960 Subtract $360 from each side.

2A=$3600 Divide each side by 2.

A=$1800 The order for 30 algebra books cost $1800.

Individual book=A/30

individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.

4 0
3 years ago
George is cooking an elaborate meal. He can only cook one thing at a time in his microwave oven. His turkey takes 90 ​minutes; t
AysviL [449]
<h2>Answer :</h2>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.

<h2>Step-by-step explanation :</h2><h3>Known :</h3>
  • George can only cook one thing at a time
  • Turkey takes 90 minutes to cook
  • Pumpkin pie takes 20 minutes to cook
  • Rolls take 60 seconds to cook
  • A cup of coffee takes 45 seconds to heat

<h3>Asked :</h3>
  • Time needed to cook the meal
  • Time he need to start in order to complete the cooking at 4 P.M.

<h3>Completion :</h3>

Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,

60 seconds = 1 minutes

45 seconds = 45/60 minutes = 0.75 minutes

Time needed = Turkey + Pumpkin pie + Rolls + Coffee

Time needed = 90 + 20 + 1 + 0.75

Time needed = 111.75 minutes

Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.

111.75 minutes = 1 hour and 51.75 minutes

111.75 minutes = 1 hour and 51 minutes and 45 seconds

Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.

4h 0m 0s - 1h 51m 45s = 2h 8m 15s

<h3>Conclusion :</h3>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
5 0
2 years ago
-
gizmo_the_mogwai [7]

Answer:

4

Step-by-step explanation:

on edg

5 0
3 years ago
Read 2 more answers
Tracy deposited $59 into a bank account that earned 3.5% simple interest each year.
AnnyKZ [126]

Answer:

Step-by-step explanation:

1) Tracy:

  P =$ 59 ;  r =3.5% ; T = 12 years

SI = PrT/100

      = 59 * 3.5 * 12 /100

      = $24.78

Amount Tracy that will be after 12 years in her account   = $ 59 +$24.78

              = $83.78

6 0
3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
4 years ago
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