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Veseljchak [2.6K]

3 years ago

11

Seventy-two students chose to watch a movie on the last day of school. This is 60% of the 6th-grade class. How many total studen

ts are in the 6th grade?

2 answers:

svlad2 [7]3 years ago

7 0

Answer:

300

Step-by-step explanation:

Dimas [21]3 years ago

5 0

Answer:

300

Step-by-step explanation:

75 multiplied by 4 is 300

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a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

The ratio of Alex's toy cars to Jim's is 8:3. How many toy cars do they have altogether, if Alex has 40 more cars than Jim?

aniked [119]

Answer:

88

A:J

8:3

a - 40 = j

8y - 40 = 3y

5y = 40

y = 8

8 *11 = 88

Step-by-step explanation:

Hope i helped! have a nice day

5 0

3 years ago

Read 2 more answers

Why does the shape of the distribution of the weights of russet potatoes tend to be symmetrical?

Sergio [31]

Answer:

Mean ≈ Median

6 0

3 years ago

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The perimeter of the rectangle below is 120 units. Find the value of y.<br> 5y - 3<br> 4y

vladimir2022 [97]

Answer:

y =7

Step-by-step explanation:

2(5y-3)+2(4y) = 120 units

10y - 6 + 8y = 120 units

18y= 120+6

y = 126/18

y = 7

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3 years ago

I am having trouble with math and i need help. I make Fs and Ds every progress reports .please someone help me.

aleksley [76]

Ok what do you need help with?

8 0

3 years ago