A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original number?

Answers

Answer 1

Answer: one way it so try

100
increase by 10%
10% of 100=10 so 100+10=110

then decrease by 10%
10% of 110=11 so 110-11=99

original number=100
is 99 greater than or less or equal the original?
99<100
it is less

Answer 2

Answer: Hey there! The answer would be less than because 10% of the first number would be more than 10% of the second number. If you don't know what I mean then look at this as a example. 100*0.10=10, of you subtract 100 by 10 you get 90, 90*0.10=9, you add 90 by 9 you get 99, 99 is less than 100 (99<100). Do you see what I mean. If not feel free to message me. :)

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Identify the coefficients and the constants from the following expression.

3+4x-y+5x-2

Answers

The leading coefficients are the numbers infront of the variable which are 1 and 4

The constants are the numbers that do not have a variable which are 3 and -2

4x+5x=9x, 3-2=1

9x-y+1

coefficients are 9 and -1, the constant is 1.

All of the following expressions are equivalent to 12w + 6, except:a.-1(12w - 6)
b.(3 + 6w)2
c.6(1 + 2w)
d.-1(-12w - 6)

Answers

When you distribute the constants in each case, letter a. is wrong because it turns out to be -12w + 6 which $\neq$ to 12w + 6

Answer:

A is the answer!!!

Step-by-step explanation:

Have a good day Piccola!!!!

-leeknowishawt

Consider the following conditional statement.If a + 1 = b, then b > a.

A. Create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is true. In your final answer, include the values of the variables and proof of truth.
B. Is it possible to create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is false? Use complete sentences to explain your answer.

Answers

Answer:

Step-by-step explanation:

Part A:

Lets take the value of a=10

Thus a+1=b

10+1=11 , it means the value of b is 11

11>10 or b>a

Now take the value of a as -3

Therefore a+1=b

-3+1= -2

-2>-3 or b>a

The pair of values for a and b are: a=10 then the value of b would be 11;

And a=-3; then the value of b would be: -2.

Part B:

It is not possible to create a pair of values for a and be, in which the numerical relationship shown in the given conditional statement is false, therefore b>a if a+1=b....

Terry share 3 pizzas with some friends. Terry ate 1/4 of them. How much pizza did Terry eat?

Answers

According to math, I divided 3 by 1/4 and got 12

15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be true?If they worked out for the same amount of time, Dane did 10 more minutes of cardio exercise than Alina.

If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

If both workouts were 60 minutes, Dane spent 8 more minutes on cardio exercise than Alina did.

Alina spent less time on cardio exercise than Dane did.

Answers

Answer:

If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

Step-by-step explanation:

For option A,

If they both workout for $x$ minutes,

Alina's time is

$=0.15x$

and Dane's time is

$=0.25x$

The difference is

$0.25x-0.15x=0.1x$

If they both work out for 100 minutes, then Dane did 10 more minutes of cardio exercise than Alina.

Since $x$ is not fixed, this statement is false.

For option B,

If Alina's work out was 80 minutes, then she spent $0.15*80=12$ minutes on cardio exercise.

If Dane's work out was 48 minutes, then he spent $0.25*48=12$ minutes on cardio exercise.

Hence both spent the same amount of time on cardio exercise.

The correct answer is option B

For option C,

If they both workout for $60$ minutes, then

Alina's time is

$=0.15* 60=9$

and Dane's time is

$=0.25*60=15$

The difference is

$15-9=6$

If they both work out for 60 minutes, then Dane did 9 more minutes of cardio exercise than Alina and not 10.

This statement is false

For option D,

We cannot tell whether Alina spent more or less time than Dane,unless we know the time both spent for the entire work out.

Since the time difference depends on the initial amount of time, answer #1 is not right
Next, #3 is also not right since the difference is way to great.
Next, #4, we cannot tell how long the workouts of both were, so this is not right either
Therefore, #2 is the right answer
Hope this helped!! :D

Find volume of this figure

Answers

11x4x3=132
6x4x3=72
5x3x3=45
132+72+45=249

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