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2 years ago

If there are 15 boys in a class of 25 students,what is the ratio of girls to boys in the class

Mathematics

2 answers:

Vilka [71]2 years ago

6 0

15 boys:10 girls Because if there are 15 boys then the rest of 25 is girls so 25-15=10

Shalnov [3]2 years ago

4 0

15:10 because 25 is the total so minus the amount of boy which gives you 10

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A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

mestny [16]

Answer:

The value is $W= 2640 \ ft \cdot lb$

Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

The depth of the well is $x_1 = 60 \ ft$

The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

Generally the workdone is mathematically represented as

$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

$G(x) = 5 + (42- 0.1x)$

=> $G(x) = 47- 0.1x)$

$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

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3 years ago

For f(x) = -x + 8, which statement is true?

xenn [34]

I think it’s f(x+k) = f(x) + k correct if I’m wrong

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2 years ago

A square window has an area of 256 in2. If each side of the window measures 4x, ……

S_A_V [24]

Answer:

sides are of 16 in

Step-by-step explanation:

here's your solution

==> area of square = 256 in^2. [given]

==> side of square = 4x

==> area of square= side^2

==> 4x^2 = 256

==> 16x^2 = 256

==> x^2 = 256/16

==> x^2 = 16

==> x = √16

==> x = 4

hence sides are of 16 in

Hope it helps

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