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Zina [86]
3 years ago
15

Rafaela is a physical education teacher and has 25 girls and 35 boys in her class. She wants to divide the class into teams of t

he same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?2. Determine the length of the longest tape which can be used to measure the classroom of length 7m, width 12m, 95cm and height 3m, 85cm exactly.
Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that Rafaela is a physical education teacher and has 25 girls and 35 boys in her class.

She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?

Here we find Highest common factor for 25 and 35 and it is 5

So 5 boys will be on each team (with 7 girls)

2) length I = 7m, x12 m and height = 3mx85 cm.

The longest tape would be the highest common factor of 12 and 85

Since it is 1, only 1 cm long tape can be used.

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Hi there!

To find your answer, simply sub in the point and the slope into y-y1=m(x-x1) for y1, x1 and m!

m=-8
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y+8=-8(x-1)

Therefore your equation is y+8=-8(x-1)

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6 0
3 years ago
Read 2 more answers
HELP ME! In a complete sentence, describe the relationship between the three angles in the diagram below. Write and solve an equ
AlexFokin [52]

Answer:

  b = 17

  ∠QPS = 124°

  ∠SPT = 17°

  ∠TPR = 39°

Step-by-step explanation:

  • The sum of the three angles shown is a linear angle, with a measure of 180°.

This fact can be used to write an equation:

  (8b -12)° +b° +(2b+5)° = 180°

  11b -7 = 180

  11b = 187

  b = 17

  8b -12 = 8(17) -12 = 124

  2b +5 = 2(17) +5 = 39

The value of b is 17.

The angle measures are ...

  ∠QPS = 124°

  ∠SPT = 17°

  ∠TPR = 39°

4 0
3 years ago
The graph shows the cube root parent function.
diamong [38]

Considering the graph of the cube root parent function, it is found that the correct statement is given by:

D. It is always increasing.

<h3>When a function is increasing?</h3>

A function is increasing when the vertical axis of the graph gets higher as we move the horizontal axis from left to right.

In this problem, the above statement is true for the entire function, hence option D is correct.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

8 0
2 years ago
A line crosses the coordinates (-3,5) and (4,-2). What is the slope of the line?
ICE Princess25 [194]

Answer:

Slope = -1

Step-by-step explanation:

\frac{-2-5}{4-(-3)}=\frac{-7}{7} =-1

8 0
3 years ago
An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a
chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0
3 years ago
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