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kap26 [50]
3 years ago
12

A taxi constant speed 52km/h. how long will it take to travel a distance of 156 kilometers

Mathematics
2 answers:
Mice21 [21]3 years ago
8 0
Time = distance / speed
time = 156/52
time = 3 hrs
yuradex [85]3 years ago
6 0
The answer is 3 hours.


156/52=3



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N76 [4]

so we know the radius of the sphere is 8, and its surface area is 4πr², therefore its surface area is 4π8², namely 256π.


we also know that the surface area of the cylinder is half that of the sphere, namely 256π/2 or 128π, let's use that surface area to get the height h.


\bf \textit{total surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=4\\ SA=128\pi  \end{cases}\implies 128\pi =2\pi (4)(h+4) \\\\\\ 128\pi =8\pi(h+4)\implies \cfrac{128\pi }{8\pi }=h+4\implies 16=h+4\implies \boxed{12=h}


since now we know h and r for the cylinder, and we also know r for the sphere, let's check their volume's ratio.


\bf \begin{array}{|c|ll} \cline{1-1}\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\\\\ \textit{volume of a cylinder}\\\\ V=\pi r^2 h\\\\ \cline{1-1} \end{array}~\hspace{3em}\cfrac{~~\frac{4\pi 8^3}{3}~~}{\pi (4)^2(12)}\implies \cfrac{~~\frac{2048\pi }{3}~~}{192\pi } \\\\\\ \cfrac{2048\pi }{3}\cdot \cfrac{1}{192\pi }\implies \cfrac{32}{9}

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3 years ago
Kevin has $25. MP3 downloads cost $0.75 each. How many songs can he download and still have $13 left to spend? Write an inequali
vlada-n [284]
Hi there!

Inequality:
25 - 0.75x <= 13

Since x is the amount of MP3 downloads he can buy and each CD costs 0.75 dollars, and since the total price spent needs to be less than 13 dollars and the total amount of money he has is 25 dollars, this is the answer.

Hope this helps!
6 0
3 years ago
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A line with a slope of –2 passes through the point (–4, 8). What is the equation of the slope-intercept form?
zloy xaker [14]

Answer:

y= -2x

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

subst. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a coordinate.

When x= -4, y=8,

8= -2(-4) +c

8= 8 +c (expand)

c= 8-8 (-8 on both sides)

c=0 (simplify)

Thus, the equation of the line is y= -2x.

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3 years ago
70 POINTS!! AND BRAINLIEST HELPPPPP!!!
DerKrebs [107]

Answer:

  1. 3000 girls
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Step-by-step explanation:

Let the unknown values be x

1.

30 class mates = 1 class room

18 girls in 1 classroom

18 girls in 30 classmates

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18\:girls= 30\:students\\x\:girls = 5000\:students\\\\Cross\:Multiply\\\\30x = 90000\\\\Divide\:both\:sides\:by\:30\\\frac{30x}{30} = \frac{90000}{30}\\ \\x = 3000\\= 3000 girls

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3.

8\:minutes = 14\: points\\21 \:minutes = x \:points\\\\Cross\:Multiply\\8x = 294\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{294}{8}\\\\Simplify\\x=\frac{147}{4}\\\\x = 36.75\\\\Approximately\:= 37\:points

4.

32\:marbles = 5\:inches\\x\:marbles = 18\:inches\\\\Cross\:Multiply\\5x = 576\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{576}{5}\\\\x=\frac{576}{5}\\\\x =115.2\\= 115=\:marbles

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2 \: gray\:colour= 15\:cars\\x\:gray= 140\:cars\\\\Cross\:Multiply\\\\15x = 280\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{280}{15}\\\\Simplify\\x=\frac{56}{3}\\\\x =18.666\\Approximately ;\\19

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The answer is tundra and deserts.
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