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Jet001 [13]
3 years ago
10

In a group of 48 children there are three times as many boys as girls. how many girls are there

Mathematics
2 answers:
Leno4ka [110]3 years ago
5 0
If x=girls,
then we have 3x boys.

We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.

So there are 12 girls and 36 boys.
Vlad [161]3 years ago
4 0
There are x girls in the group.
There are three times as many boys as girls, so the number of boys is 3x.
There are 48 children in the group.

x+3x=48 \\
4x=48 \\
x=\frac{48}{4} \\
x=12

There are 12 girls in the group.
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lakkis [162]

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

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So, the rate of fall is 60 m/s.

If t = 20 s

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It will move under the action of gravity.

Using equation of motion,

h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m

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4 0
3 years ago
A quadratic function is given. f(x) = 1 + x − 7 x2 (a) Use a graphing device to find the maximum or minimum value of the quadrat
Virty [35]

Answer:

a) P (x,y) \approx (0.1,1.05), b) P(x,y) = (0.07,1.04).

Step-by-step explanation:

a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

P (x,y) \approx (0.1,1.05)

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:

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The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:

1 - 14\cdot x = 0

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According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:

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y = 1.04

The exact solution is P(x,y) = (0.07,1.04), indicating that graphic solution leads to a good approximation.

6 0
4 years ago
Solve for x in the equation x2 + 4x-4=8.
iren [92.7K]

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<u>Answer</u><u>:</u>

x = -6 or x = 2

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Doubt clarification - use comment section.

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