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sesenic [268]
2 years ago
11

You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper sho

wn.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

What percent of students answered salad?
% of students answered salad
Mathematics
1 answer:
ivann1987 [24]2 years ago
5 0

Answer:

42%

Step-by-step explanation:

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Marty teaches music in his community. He teaches three classes a day, and each class has fewer than 8 students. If Marty teaches
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It is c becase x<8 translates to x is less than 8
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The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)
Ierofanga [76]

Answer:

\cot(x)  =  - 1 \: and \:  \cos(x)  =  -  \frac{ \sqrt{2} }{2}

Step-by-step explanation:

The given point is :

( -  \frac{ \sqrt{2} }{2}, \frac{ \sqrt{2} }{2})

This point is in the second quadrant.

This means:

\cos(x) = -  \frac{ \sqrt{2} }{2},  \sin(x) =  \frac{ \sqrt{2} }{2})

Cotangent is cosine/sine

\cot(x)=\frac{ \frac{ \sqrt{2} }{2} }{ -  \frac{ \sqrt{2} }{2} }  =  - 1

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2 years ago
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Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters
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Answer:

Step-by-step explanation:

275 (slushy) in a cup.

After 13 seconds, 210 milliliters of slushy remained.

divide the original by the seconds then the answer by the left over. And then you get your answer.

hope it helps!

please give me brainliest  

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$1200 at 5.6% for 4 years find the balance (new amount)
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answer A radio station located 120 miles due east of Collinsville has a listening radius of 100 miles. A straight road joins Col
melamori03 [73]

Answer:

168.7602 miles

Step-by-step explanation:

One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.

The equation for the listening radius (the radio station is at (0,0)):

x^2+y^2=100^2

The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):

m=\frac{y_2-y_1}{x_2-x_1} =\frac{100-0}{80-(-120)}=\frac{100}{200}=\frac{1}{2}

y-y_1=m(x-x_1)\\y-0=\frac{1}{2}(x-(-120))\\ y=\frac{1}{2}x+60

Substitutes the value of y in the equation of the circle:

x^2+(\frac{1}{2}x+60)^2=100^2\\x^2+\frac{1}{4} x^2+60x+3600=10000\\\frac{5}{4} x^2+60x+3600=10000\\\frac{5}{4} x^2+60x+3600-10000=0\\\frac{5}{4} x^2+60x-6400=0\\5 x^2+240x-25600=0\\x^2+48x-5120=0\\

The formula to solve second-degree equations:

x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x_{1,2}=\frac{-48\pm\sqrt{48^2-4(1)(-5120)} }{2(1)}\\x_{1,2}=\frac{-48\pm\sqrt{2304+20480} }{2}\\x_{1,2}=\frac{-48\pm\sqrt{22784} }{2}\\x_{1,2}=\frac{-48\pm16\sqrt{89} }{2}\\x_{1,2}=-24\pm8\sqrt{89} \\x_1=-24+8\sqrt{89}\approx51.4718\\x_2=-24-8\sqrt{89}\approx-99.4718\\

Using the values in x to find the values in y:

y_1=\frac{1}{2}x_1+60\\y_1=\frac{1}{2}(-24+8\sqrt{89} )+60\\y_1=-12+4\sqrt{89}+60\\ y_1=48+4\sqrt{89}\approx85.7359

y_2=\frac{1}{2}x_2+60\\y_2=\frac{1}{2}(-24-8\sqrt{89} )+60\\y_1=-12-4\sqrt{89}+60\\ y_1=48-4\sqrt{89}\approx10.2641

The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :

d=\sqrt{(x_1 -x_2 )^2+(y_1 -y_2)^2} \\d=\sqrt{(-24+8\sqrt{89} -(-24-8\sqrt{89}) )^2+(48+4\sqrt{89} -(48-4\sqrt{89}) )^2}\\d=\sqrt{(-24+8\sqrt{89} +24+8\sqrt{89} )^2+(48+4\sqrt{89} -48+4\sqrt{89} )^2}\\d=\sqrt{(16\sqrt{89} )^2+(8\sqrt{89} )^2}\\d=\sqrt{22784+5696}\\d=\sqrt{28480}\\d=8\sqrt{445}\approx168.7602miles

4 0
2 years ago
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