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emmasim [6.3K]
3 years ago
12

I dont get this at all somebody help

Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Answer:

ok lets relax and figure this out,

so the arts academy basically has only 100 students.

There’s 4 tutors per 40 students.  

6 teachers per 114 students

so it’s basically division

19 kids per teacher, 1 tutor per ten kids

see? All worked out! If you need help just add a comment to this!

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points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w
olga_2 [115]
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²]  = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28  --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

y = 1/2x -1 or x = 2 + 2y --> eqn 2

Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28 
Solving for y, 
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0
3 years ago
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Which decimal is between √ 85 and √ 86<br><br>a)9.15<br>b)9.2<br>c)9.25<br>d)9.3​
mina [271]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the
Arisa [49]

Answer:

A

Step-by-step explanation:

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3 years ago
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What is the slope of the line represented by y = 5x - 7?​
Ghella [55]
The slope of the line is 5/1 because the number by the x is always your slope and it is always to be announced as a fraction so you add 1 as the denominator if there isn’t already a denominator.
6 0
3 years ago
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The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
Reil [10]

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

v=\frac{d}{t}.

Applying this to our problem we have that

v=\frac{200m}{6.509s}= 30.726m/s.

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that v=\frac{d}{t}. This formula implies that

  1. t=\frac{d}{v}.

First, observer that 19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s.

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.

Then, applying 1) we have that

t=\frac{200m}{36.003m/s}=5.5549s.

So, Sam Whittingham’s time through the 200 m was 5.5549s.

5 0
3 years ago
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