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zhannawk [14.2K]
3 years ago
13

Please Help!

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer:

455 red roses

Step-by-step explanation:

Given parameters:

Number of roses sold by florist  = 715

Unknown:

Number of red roses she sold  = ?

Solution:

From the problem statement, we know that;

       7 out of every 11 roses were red.

Let us divide the roses sold into group of 11s;

          In 715 we 65 groups of 11;

if;

            7 out of every 11 roses were red;

  In a group of 65, we will have 65 x 7 red roses  = <em>455 red roses</em>

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-16 feet x -5 seconds = 80ft/s
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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the
Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=\frac{25}{\pi r^2}

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=\frac{25}{\pi r^2}

\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}

\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}

Differentiating with respect to r

C'=4\pi r- \frac{62.5}{ r^2}

Again differentiating with respect to r

C''=4\pi + \frac{125}{ r^3}

To find the minimize cost, we set C'=0

4\pi r- \frac{62.5}{ r^2}=0

\Rightarrow 4\pi r=\frac{62.5}{ r^2}

\Rightarrow  r^3=\frac{62.5}{ 4\pi}

⇒r=1.71

Now,

\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=\frac{25}{\pi\times 1.71^2}

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0
3 years ago
400 people were asked if they liked their school lunch.10% said yes. 32 of those that said yes were boys.152 of those that were
lbvjy [14]

Using proportions, considering the total number of students, it is found that 216 boys to linking their school lunch.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

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2 years ago
What is the circle's circumference? The diameter of a circle is 6 millimetres.
dolphi86 [110]

Answer:

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Answer:

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Step-by-step explanation:

Basically its like regular subtraction

4.6

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2.14

4 0
3 years ago
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