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Lemur [1.5K]
3 years ago
6

Find the value of t needed to make the equation shown true. 25t = 12.5

Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

Hi Avahosel2020!

To find the value of t we need to simplify the equation:

25t = 12.5

To just get t, we must divide 25 on both sides:

\frac{25t}{25} = \frac{12.5}{25}

<u>We can move the decimal one spot over and add a 0 to the denominator:</u>

\frac{25t}{25} = \frac{125}{250}

t = \frac{125}{250}

Simplifying!

\frac{125}{250} = \frac{1}{2}.

Thus, t has the value of $\boxed{\frac{1}{2} }$.

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Answer:

With 7 cups of flour  3.13 batches of cookies can be made.

Step-by-step explanation:

The amount of flour needed per batch of cookies = 7/3 cups

=  2.33 cup

⇒ 1 batch of cookies = 2.33 cup of flour

or  the ratio of <u>cookie to flour =         1       :      2.33</u>

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Now, the amount of flour Benny has = 7 cups

Let the total batches of cookie made = m

or, ratio of <u>cookie to flour =         m       :      7</u>

So, by the RATIO OF PROPORTIONALITY:

\frac{1}{2.23}  = \frac{m}{7 }

⇒ m = 7 /2.23

or, m   =  3.13

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Hence, from 7 cups of flour  3.13 batches of cookies can be made.

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Answer:

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Step-by-step explanation:

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6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface
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Answer:

6) About 19,244.75 square centimeters.

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Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

\displaystyle \text{SA}=2\pi r^2+ 2\pi rh

Where <em>r</em> is the radius and <em>h</em> is the height.

Therefore, the surface area of a single cylinder will be:

\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2

Then the total surface area for 200 cylinders will be:

\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

\displaystyle V=\pi r^2h

Since <em>r</em> = 1.2 and <em>h</em> = 6.4:

\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3

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\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895

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Answer:

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Step-by-step explanation:

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