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3 years ago

How many numbers between 40 and 129 are equal to 6 times an integer

1 answer:

7 0

Here, the series would be: 42, 48 .... 126
an = a + (n - 1)d
126 = 42 + (n - 1)6
126 - 42 = 6n - 6
84 + 6 = 6n
n = 90/6
n = 15

In short, Your Answer would be 15

Hope this helps!

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27 miles per hour. how many miles per minute in decimal form?

maxonik [38]

1 hour = 60 minutes

27/60 = 0.45 miles per minute

7 0

3 years ago

The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side i

PolarNik [594]

Answer:

7, 9, 13

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

P = a + b + c = 29
a = 2b - 5
c = b + 6

Substitute values and solve for b:

2b - 5 + b + b + 6 = 29
4b + 1 = 29
4b = 28
b = 7

Find a and c:

a = 2*7 - 5 = 14 - 5 = 9
c = 7 + 6 = 13

The sides are: 7, 9, 13

4 0

2 years ago

Read 2 more answers

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

4 0

3 years ago

10483 people attended a rock festival. if there were 811 more boys than girls, and 2481 fewer adults over 50 years of age than t

Bond [772]

Answer: 4051 girls, 4862 boys and 1570 adults over 50 years of age group attended the festival.

Step-by-step explanation:

Let x denotes the number of girls.

Then, the number of boys = x+811

The number of adults over 50 years of age = x-2481

Now, by considering the given scenario :-

$x+x+811+x-2481=10483\\\\\Rightarrow\ 3x-1670=10483\\\\\Rightarrow\ 3x=10483+1670\\\\\Rightarrow\ 3x=12153\\\\\Rightarrow\ x=\dfrac{12153}{3}=4051$

Thus, the number of girls attended the festival = 4051,

Then number of boys = 4051+811=4862

Number of adults = 4051-2481=1570

7 0

3 years ago

Can any one help me and work 2 or 3 of the problems for me to understand it

Alekssandra [29.7K]

To solve these problems you need to use the quadratic formula which is listed below.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

So, if you take #2.

The $x^{2}$ has a 1 in front of it. The x has a -3 in front of it. The last number is also -3. So:

a = 1
b = -3
c = -3

Then you can plug all of these into the equation and simplify. Which gives you:

$\frac{3 -/+ \sqrt{21} }{2}$

4 0

3 years ago