What is the mean absolute deviation 1122333456

What is 4,967 divided by 68 with a remainder no decimals

Sonja [21]

The answer would be 73 remainder 0 if rounded to one decimal place

5 0

2 years ago

Read 2 more answers

Which inequality had the graph shown below?

prisoha [69]

Answer:

y < 2x -3

Step-by-step explanation:

7 0

3 years ago

One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the

Kipish [7]

Let's call the two numbers $s$ and $l$ .

Given these variables, we can say: $s = l - 14$ , based on the first sentence in the problem.

Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

$\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}$

To solve, we can simply substitute $l -14$ in for $s$ in the second equation and solve.

$\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}$

Set up

$\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}$

Get terms on the left side to a common denominator for easier addition

$\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}$

Simplify

$4(6l - 70) = l(l - 14)$

Cross multiplication ( $\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc$ )

$24l - 280 = l^2 - 14l$

Simplify

$l^2 - 38l + 280 = 0$

Subtract $24l - 280$ from both sides of the equation

$(l - 10)(l - 28) = 0$

Factor left side of the equation

$l = 10, 28$

Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

$s = 10 - 14 = -4$ ,

Since $s$ is not positive in this case, $l = 10$ is not a solution.

Thus, $l = 28$ is our only solution. In this case,

$s = 28 - 14 = 14$ ,

which means that the smaller number is 14 and the larger number is 28.

5 0

2 years ago

If f(g(x)) = (x-3)^4<br> what is f(x) and g(x)

Lelechka [254]

One possible solution is

f(x) = x^4

g(x) = x-3

Since

f(x) = x^4

f(g(x)) = ( g(x) )^4

f(g(x)) = ( x-3 )^4

=================================================

Another possible solution could be

f(x) = x^2

g(x) = (x-3)^2

Because

f(x) = x^2

f(g(x)) = ( g(x) )^2

f(g(x)) = ( (x-3)^2 )^2

f(g(x)) = (x-3)^(2*2)

f(g(x)) = (x-3)^4

6 0

2 years ago

Kiara is hosting a s'mores bonfire for ten of her friends. In how many ways can she distribute 20 marshmallows, 30 graham cracke

e-lub [12.9K]

Answer:

b+b=A

Step-by-step explanation:

hi

6 0

3 years ago