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3 years ago

If 40% of a number is 56 what was the original number

1 answer:

5 0

Percent is pars out of 100
40%=40/100=4/10=0.4
'of' means multiply
0.4 times something=56
divide both sides by 0.4
something=140

th enumber is 140

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Tree diagram to find the prime factors of 18

Lorico [155]

18
/\
6 X 3
/\
3 X 2
prime factorization equals= 2X3X3

6 0

3 years ago

The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009. What is th

zavuch27 [327]

Your question: The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009. What is the best prediction of the population in the year 2014? Round to the nearest whole number.

Answer: 3541

Good luck mate, remember to always look through notes and so-forth.

8 0

3 years ago

Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured

kenny6666 [7]

By analyzing the graph of the transformed function, we can see that:

g(x) = 2*|x - 2| - 4

<h3>How to get the function g(x)?</h3>

In the image we have two graphs, the yellow one is the graph of g(x).

First, analyzing the vertex we can see the translation used, you need to remember:

<u>Horizontal translation:</u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.
If N is negative, the shift is to the right.

<u>Vertical translation:</u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.
If N is negative, the shift is downwards.

We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:

g(x) = |x - 2| - 4

Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:

g(x) = 2*|x - 2| - 4

This is the transformed function.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

5 0

2 years ago

Estimate the sum.<br><br> 6 13/28+ 8 3/32

umka2103 [35]

The estimated sum is 1.75

5 0

3 years ago

Read 2 more answers

Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.

djyliett [7]

An=a1+d(n-1)
an=nth term
a1=first term, when n=1
d=common differnce=amount each term increases by
n=which one

so
when n=1, an=40
so a1=40
it seems to increas by 7 each time

an=40+7(n-1)
explicit formula is expanded
an=40+7n-7
an=33+7n is the formula

the domain is natural numbers because you can't have the -3rd term or the 0th term or the 3.24th term

domain is natural numbers
the formula is $a_n=33+7n$ or $a_n=7n+33$

6 0

3 years ago