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liq [111]
2 years ago
14

PLEASE someone help its due tonight im almost done

Mathematics
1 answer:
marusya05 [52]2 years ago
7 0
<h3>Answers:</h3>
  • 48 seconds
  • 3624 feet

========================================================

Explanation:

x = number of seconds that elapse

y = altitude (aka height) of the plane

The equation for plane A is

y = 20.25x+2652

because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes

The equation for plane B is

y = 75.5x

The y intercept is zero because plane B starts on the ground, aka height 0.

------------------

The system of equations is

\begin{cases}y = 20.25x+2652\\y = 75.5x\end{cases}

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.

75.5x = 20.25x+2652

75.5x-20.25x = 2652

55.25x = 2652

x = (2652)/(55.25)

x = 48

The two planes reach the same altitude at exactly <u>48 seconds</u>

That altitude is <u>3624 feet</u> because

  • y = 20.25*x + 2652 = 20.25*48+2652 = 3624
  • y = 75.5*x = 75.5*48 = 3624

Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.

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A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the
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Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100           ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600             .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴  b = \dfrac{600}{10}

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0
2 years ago
At lunch 3 1/4 small pizzas were equally divided amping students. If each student ate 1/4 of a pizza, how many students were fed
Vilka [71]

Answer:

13 students were fed

Step-by-step explanation:

now first in order to count we will have to turn 3 1/4 into a whole number which means we will have to multiply the denomintor by 3 and add it to the numerator which is 1

4 x 3= 12 ..... 12 + 1 = 13  

13/4  and the denominator always stays the same

and now to count we will have to divide 13/4 divided by 1/4

now instead of dividing you can just multiply them by switching the denominator and numerator  1/4  to  4/1  

13/4 x 4/1

52/4

13


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3 years ago
The ratio of the number of girls to the number of boys in choir is 4 to 5. There are 32 girls in the choir. How many boys are in
TEA [102]

Answer:

what grade is this

Step-by-step explanation:

8 0
2 years ago
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The Sunday newspaper costs $1.80 per issue delivered and Saturday and weekday papers cost 20 cents per issue delivered. How many
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I think that it's 490 days approximately.
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3•f(-4)-3•g(-2)=?<br> Help please
Scilla [17]

Answer:

3⋅f(−4)−3⋅g(−2) = −12f+6g

Step-by-step explanation:

Write the problem as a mathematical expression.

3⋅f(−4)−3⋅g(−2)

Move − 4 to the left of f .

3⋅(−4⋅f)−3⋅(g(−2) )

Multiply−4 by 3.

−12f−3⋅(g(−2) )

Move − 2 to the left of g .

−12f−3⋅(−2⋅g)

and lastly Multiply−2 by −3.

−12f+6g

Hope this helps you out.

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