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Rasek [7]
3 years ago
10

In the first session 40 student attended.Of these 40 students 60% were girls. How many girls attended the first session of swimm

ing lessons?
Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0
24 girls

60% is 0.6
40 x 0.6 = 24
Nataliya [291]3 years ago
5 0
10% of 40 is 4.

4 x 6 = 24

There were 24 girls.
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The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po
grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm


Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

=xy

we are given that area as 1536

so, we can set it to 1536

xy=1536

now, we can solve for y

y=\frac{1536}{x}

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

A=(8+x+8)\times (12+y+12)

A=(x+16)\times (y+24)

now, we can plug back y

A=(x+16)\times (\frac{1536}{x}+24)

now, we have to minimize A

so, we will find derivative

A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)

we can use product rule

A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)

=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)

now, we can simplify it

A'=-\frac{24576}{x^2}+24

now, we can set it to 0

and then we can solve for x

A'=-\frac{24576}{x^2}+24=0

-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2

-24576+24x^2=0

x=32,\:x=-32

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

x=32

now, we can solve for y

y=\frac{1536}{32}

y=48

so, dimensions of printed poster are

length is 32 cm

width is 48 cm


5 0
3 years ago
The total amount A in an account earning simple interest is given by the equation A = P + Prt, where P is the principal, r is th
zvonat [6]

p\%=\dfrac{p}{100}\\\\4\%=\dfrac{4}{100}=0.04\\\\A=P+Prt\\\\r=4\%=0.04\\\\t=5\\\\\text{substitute}\\\\A=P+(P)(0.04)(5)=P+0.2P\\\\Answer:\ A=P+0.2P

6 0
3 years ago
Read 2 more answers
HELP ME PLEASE THANK YOU
kolbaska11 [484]
It would be the seconf answer

6 0
4 years ago
If 108 is added to a number, it will be 5 times as large as it was originally. Find the number.
schepotkina [342]

Answer:

27

Step-by-step explanation:

let th original number=x

x+108=5x

5x-x=108

4x=108

x=108/4=27

8 0
2 years ago
Food A contains 150 calories in 3/4 of a serving.
Alex777 [14]

Answer:

Food B has fewer calories.

Step-by-step explanation:

To find the unit rate we had to transfer both to have the denominator. To do that we have to find a common denominator both 4 and 3 have. The common denominator is 12. We then use 12 as a denominator and solve. (Sorry I don't really know how to explain.)

Food A=

12 ÷ 4 is 3, 3 × 3  = 9.

9/12

Food B=

12 ÷ 3 = 4, 4 × 2 = 8.

8/12

7 0
3 years ago
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