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lidiya [134]
2 years ago
14

Which of the following options have the same value as 40% percent of 84? Choose 2 answers

Mathematics
1 answer:
hram777 [196]2 years ago
3 0

Answer:

The answer in decimal form is 33.6.

The answer in fraction form is 33\frac{3}{5}.

Step-by-step explanation:

To find 40% of 84, multiply 84 and 0.4.

84 × 0.4 = 33.6

The answer in decimal form is 33.6.

The answer in fraction form is 33\frac{3}{5}.

Hope this helps!

You might be interested in
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Bas_tet [7]

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

3 0
3 years ago
(a) Find the three-digit number that increases by 30% when each of its
Elden [556K]

Step-by-step explanation:

So a three digit number can be expressed as: 100a + 10b + c where a is the third digit, b is the second digit, and c is the first digit. Or in other words a is the hundreds place, b is the tens place, and c is the ones place. When something "increases" by 30%, it is 130% it's original value, and to calculate how much that is, you simply convert 130% to a decimal by dividing by 100, which gives you 1.30. And since all the digits are increased by 1, you have the equation:

100(a+1) + 10(b+1) + 1(c+1) = 1.30(100a+10b+c)

Distribute the multiplication on the left side:

100a+100+10b+10+c+1=1.30(100a+10b+c)

Distribute the multiplication on the right side:

100a+100+10b+10+c+1=130a+13b+1.3c

Add like terms on the left side:

100a+10b+c+111=130a+13b+1.3c

Subtract 100a, 10b, and c from both sides

111=30a+3b+0.3c

So "technically" you can just plug in any two values, and then solve for the last value, but since you have a 3 digit number, you have the restriction of a < 10, b < 10, and c < 10, and also a, b, and c, should only be integers and all have the same sign or it wouldn't be a 3 digit number.

So let's start with a, since it has the highest coefficient, well you can fit 30 into 111, 3 times without going over so that's the first value

111 = 30(3) + 3b + 0.3c

111 = 90 + 3b + 0.3c

Now subtract the 90 from both sides

21=3b+0.3c

Well 3 can fit into 21, 7 times!

21 = 3(7) + 0.3c

21 = 21 + 0.3c

subtract 21 from both sides

0 = 0.3c

and now obviously c is 0, if you want you can divide both sides by 0.3 but it's a bit redundant

c = 0

This gives you the three values, a=3, b=7, c=0. which is the number 370. Now let's double check. Adding 1 to each digit would give you 481 and 481/370 = 1.3, so it is correct!

part b:

So to prove there is no three digit number, is to realize there is no solution, given the restriction or integers, greater than or equal to 0, and less than 10, and all of them must have the same sign.

So let's start with the same equation except this time instead of 1.3 it's 1.4

100(a+1) + 10(b+1) + 1(c+1) = 1.40(100a+10b+c)

Distribute on the left side;

100a+100+10b+10+c+1=1.40(100a+10b+c)

Distribute on the right side:

100a+100+10b+10+c+1=140a + 14b + 1.4c

Add like terms on left side:

100a + 10b + c + 111 = 140a + 14b + 1.4c

Subtract 100a, 10b, and c from both sides:

111 = 40a + 4b + 0.4c

Now to do the same process, let's start by finding how many times we can fit 40 into 111, and if you're wondering why we start with 40, it's because let's say for example I just say, I can fit another 40 into it, but I decide not to, and let b do that, well even if it's just 40, b will have be at least 10, which does not fit our restrictions, so you have to fit as many 40's into the number first then go the other numbers.

So only 2 40's can fit in 111 without going over the value

111 = 40(2) + 4b + 0.4c

Subtract 80 from both sides

31=4b+0.4c

4 can fit into 31, 7 times

31 = 4(7) + 0.4c

31 = 28 + 0.4c

subtract 28 from both sides

3 = 0.4c

divide both sides by 0.4

7.5 = c.

Since c is not an integer there is no 3 digit number that exists that increases by 40% whenever you increase it by 1.

7 0
2 years ago
Find the inverse function y=-5x+20
Nezavi [6.7K]

Answer:

y= \frac{-1}{5} x +4

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\

\frac{y}{-5}-\frac{20}{-5}  = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x

And now we change the variables and we get the inverse function:

y= \frac{-1}{5} x +4

7 0
3 years ago
Consider this function: f(x) = -4x + 7. Which polynomial is equivalent to f(f(x))? A. 16x – 28 B. 16x2 – 56x + 49 C. 16x – 21 D.
Temka [501]

Answer:

The answer is :

C. 16x - 21

5 0
2 years ago
What means the same as 6 × 5? <br> A.6^5 <br> B.5 + 5 + 5 + 5 + 5 <br> C.6 + 6 + 6 + 6 + 6
skelet666 [1.2K]

Here is your answer:

In order to find your answer we will have to solve each option separately to see which one equals 6 × 5.

  • 6^5 = 6\times6\times6\times6\times 6 <---- Not the answer
  • 5 + 5 + 5 + 5 + 5 = 25 <----- Not the answer
  • 6 + 6 + 6 + 6 + 6 = 35 <---- Your answer

Therefore your answer is option C "6 + 6 + 6 + 6 + 6 ."

Hope this helps!

8 0
3 years ago
Read 2 more answers
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