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Dafna1 [17]
3 years ago
12

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach

er ratio proportional to the middle school's. How many students will Cristine find when she gets to high school? A) 900 B) 1100 C) 2200 D) 2500
Mathematics
2 answers:
just olya [345]3 years ago
4 0
I had this answer on a test it is definitely 2200 sorry if I answered to late xD
Luba_88 [7]3 years ago
3 0

900/45 = 20

so ratio of middle school students and teachers: 900:45 = 20:1

if high school student-teacher ratio as middle school then

x/110 = 20/1

so x = 110 * 20 = 2200

answer is C) 2200

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What is the question I see the answers but what is the question?
3 0
3 years ago
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Annette [7]

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Step-by-step explanation:

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8 0
3 years ago
You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?
lana66690 [7]

Answer:

3.706 liters

Step-by-step explanation:

Hello

assuming that these measures correspond to the internal measures of the thermos,

we can calculate the volume as, the volume of a cylinder, which is given by

V=\pi r^{2} h

where r is the radius of the base, and h the height

also

Diameter=2r

r=Diameter/2

Step 1

let

h=8 in

base = diameter = 6 inch

r=diameter/2

r=6/2 inch,r=3 inch

Step 2

Put the values into the equation

V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\

Step 3

Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing

1 inch = 2.54 cm

1 litro =  1000 cubic centimeters

if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}

1 cubic inch = 16.3870 cubic centimeters

1\ cubic\ inch\ = 16.3870\ cubic\ centimeters\\\\\\72\pi =x?\ cubic\ centimeters\\\\x=\frac{72\pi \cubic \ inch\ \*16.3870 }{1\ cubic\ inch} \\\\x=3706.65\ cubic\ centimeters

Step 4

Finally, convert cubic centimeters into liters1000\ cubic\ centimeters =1\ liter \\\\\\3706.65\ cubic\ centimeters = x?\ liters\ centimeters\\\\x=\frac{3706.65 \cubic \ centimeters\ \*1 liter}{1000 cubic centimeters} \\\\x=3706.65\ cubic\ centimeters\\x=3.706 Liters

I can put 3.706 liters in the thermos

Have a good day

4 0
4 years ago
What is the diameter of a circle with the endpoints (4, 3) and (4, -3)?
Dahasolnce [82]

Given the endpoints of our diameter, we can use the distance formula to find the distance between the points.


Distance Formula:

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2

(x_2 and x_1 are the x-values of the coordinates and y_2 and y_1 are the y-values of the coordinates)


Inserting our values into the distance formula we can find the length of the diameter:

\sqrt{(4 - 4)^2 + (-3 - 3)^2}

\sqrt{(-6)^2}

\sqrt{36} = \boxed{6}


The diameter of our circle is 6, or choice C.

3 0
3 years ago
Mind giving me a hand?​
vagabundo [1.1K]
The expression is (42*7) + (14+22)
4 0
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