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3 years ago

Shannon poured 1 1/2 a punch into each of 5 glasses. how much total punch in cups did Shannon pour?

Mathematics

1 answer:

Arlecino [84]3 years ago

6 0

Answer:

7 1/5

Step-by-step explanation:

You said that she poured 1 1/5 pouches in each cup. There are 5 cups, so multiply 1 1/5 by 5.

(e.g)

1 1/5+1 1/5= 3 because 1+1=2 & 1/2+1/2=1 so you add them and get 3

Do that twice and you get 6

then you have 1 one more cup left so add 1+6=7 then add the half 7+1 1/2=7 1/2

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A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How mu

Nostrana [21]

Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

$v= \pi r^2 h$

substitute our data

$v= 3.142*5^2*8\\\\v=628.4in^3$

The volume of the ball

$v=4/3 \pi r^3$

substitute our data

$v= 4/3 *3.142*5^3\\\\v= 523.7 in^3$

The space will have a volume of

=628.4-523.7

=104.7 in^3

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3 years ago

The temperature t is less than or equal to -3•

boyakko [2]

T≤3
remember that this symbol means less than or equal to

4 0

3 years ago

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting he

Morgarella [4.7K]

Answer:

the answer is 1.6 seconds

Step-by-step explanation:

4 0

4 years ago

If y = 7x − 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

LenaWriter [7]

Given equation is y =7x - 5.

Let's plug in the values of x's to get their corresponding values of y's.

Let's plug in x = -5. So,

y = 7( -5) - 5 = -35 - 5 = -40

So, the first order pair is (-5, -40)

Hence, the first choice is not correct.

For x = 2, y = 7 (2) - 5 = 14 - 5 = 9.

Second order pair is (2, 9). So, second choice is also not correct.

Now for x = 0, y = 7(0) - 5 = - 5.

So, the third order pair is (0, -5).

Let's plug in x = -3 to check the third order pair list as we have already got two order pair (0, -5) and (2, 9) from that list.

For x = -3, y = 7(-3) - 5 = - 21 - 5 = -26.

Hence the correct choice is {(0, −5), (2, 9), (−3, −26)}.

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3 years ago

If a bacteria population starts with 80 bacteria and doubles every three hours, then the number of bacteria after t hours is n =

Thepotemich [5.8K]

Answer:

$f^{-1}(x)=3\frac{ln(\frac{t}{80})}{ln(2)}$

It will take 20.9 hours to reach 10000

Step-by-step explanation:

$f(t)=80(2)^{\frac{t}{3}}$

To find inverse of the function , replace f(x) with y

$y=80(2)^{\frac{t}{3}}$

swap the variables

$t=80(2)^{\frac{y}{3}}$

solve the equation for y

$t=80(2)^{\frac{y}{3}}\\\\\frac{t}{80} =(2)^{\frac{y}{3}}$

take ln on both sides

$ln(\frac{t}{80} )= \frac{y}{3} ln(2)\\\\\frac{ln(\frac{t}{80} }{ln(2)} =\frac{y}{3}\\3\frac{ln(\frac{t}{80} }{ln(2)} =y$

the inverse function is

$f^{-1}(x)=3\frac{ln(\frac{t}{80})}{ln(2)}$

for part b plug in 10000 for t in f^-1(x)

$f^{-1}(10000)=3\frac{ln(\frac{t}{80} }{ln(2)} \\f^{-1}(10000)=3\frac{ln(\frac{10000}{80} }{ln(2)} \\=20.89$

It will take 20.9 hours to reach 10000

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4 years ago