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-Dominant- [34]
2 years ago
12

arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 24 students. How many students does t

he academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 64 students​?
Mathematics
1 answer:
jonny [76]2 years ago
4 0

Answer:

the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors

Step-by-step explanation:

each tutor would have 10 students then if you do 11 times 10 you get 11

(hope this helps can I pls have brainlist (crown)☺️)

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“what is the equation of a conic with vertices (-9,3) and (7,3) and foci (-5,3) and (3,3)”
iragen [17]

This is an ellipse.

Equation of an ellipse: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1

Let's find the center point first. We can do this by finding out the midpoint between the vertices or the foci.

(-9+7)/2=-1

Center: (-1,3)

Now we need to find a and b (length along x and length along y).

We know "a". It is the distance between the center and the right or left bound.

a=7-(-1)=8

To find out "b", first see that...

b^2=a^2-(distance from center to foci)^2

foci distance=3-(-1)=4

b^2=8^2-4^2

b^2=64-16

b^2=48

b=4√3

answer: \frac{(x+1)^2}{64}+\frac{(y-3)^2}{48}=1

7 0
3 years ago
Evaluate the expression for the given value of the variable. d=75 2d+−45d−−−−−√3=
Ahat [919]

Answer:

The expression for the given value of the variable d=75 is, 135

Step-by-step explanation:

Given the expression:

2d+\sqrt[3]{-45d}               ....[1]

We have to find the value for the given expression when d = 75

Substitute the value of d in [1] we have

2(75)+\sqrt[3]{-45(75)}

⇒ 150+\sqrt[3]{-3375}

⇒150-15

Simplify:

⇒135

Therefore, the expression for the given value of the variable d=75 is, 135

3 0
3 years ago
To find the value of the expression x + 0.07 when x has the value of 0.0002
Dvinal [7]

Answer:

0.07

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u> </u><u> </u><u> </u><u>0.0002</u>

<u> = 0.0702</u>

Step-by-step explanation:

hope it helped u buddy

4 0
3 years ago
If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1​
emmainna [20.7K]

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

5 0
2 years ago
If angle ABC is congruent to angle DEF, what substitution property would this equation be??? Angle DEF=180 degrees - angle ABC A
Elodia [21]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
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