A number x is decreased by 40% then increased by 25% what is the final result In terms of x ?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let your number be X. To increase X by 40% we can multiply it by 1.4, let's call this new number Y.

So Y = X * 1.4

Now to decrease Y by 40% we can multiply it by 1 - .4 = .6. Lets call this new number C.

So C = Y *.6 = (X * 1.4) * .6 = X * (1.4 * .6) = X * .84.

Therefore, C = .84 * X.

So we can see C is 84% of X, or 16% less than X.

Thus, if you increase a number by 40% then decrease it by 40%, the net percentage is -16% .

Answer 2

      Final result in terms of 'x' will be → 0.75x

Conversion of verbal statement to algebraic expression:    Select the variables given in the verbal statement first.    Form the algebraic expression as per verbal statement given in the question.

Let the number = x

As per first statement → "A number 'x' is decreased by 40%"

Algebraic expression for the statement → (x - 40% of x)

                                                                  → (x - 0.4x)

                                                                  → 0.6x

Second statement → "Then increased by 25%"

Algebraic expression for the statement → (0.6x + 25% of 0.6x)

                                                                  → [tex](0.6x+\frac{25}{100}\times 0.6x)[/tex]

                                                                  → [tex](0.6x+0.15x)[/tex]

                                                                  → [tex]0.75x[/tex]

           Therefore, final result in terms of x will be (0.75x).

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Related Questions

please help! I'm not really sure what the answer is.

Answers

Answer:

The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])

Step-by-step explanation:

It is the largest to smallest.

which one of them is it?

Answers

Answer:

[tex]\boxed{\tt A. \angle8 \ and \angle 7}[/tex]

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees.

Let's examine the answer choices.

A. ∠8 and ∠7

⇒ These angles are on a straight line together, so they are supplementary.

B. ∠5 and ∠1

⇒ These angles have no relation to each other. They are on different lines that are not parallel.

C. ∠7 and ∠4

⇒These angles also have no relation to each other.

D. ∠2 and ∠4

⇒ These angles are vertical, but not supplementary.

The correct answer is A. ∠8 and ∠7

I need help need to turn in in less than 20 min

Answers

Use the hint: B*h=V

B=147^2

V=1323^3

So to find h you need to divide V 1323^3 by 147^2

And the answer is 9

So h=9


SOMEONE HELP ASAP PLEASE

Answers

Answer:

1. 2

2. 2

3. 70

4. 73

Step-by-step explanation:

fill in the blanks according to numbers above

Answer:

= (3+2) + 68

= 3 (2+68)

= 3 + 70

= 73

-1x + 4y <4
how to slove this

Answers

Answer: y = 1/4x + 1

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If my function rule is y=x + 3, what is the OUTPUT if the input is 4?

Answers

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

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The scale on a drawing is 2 inches:5 yards. If a length on the drawing is 6 inches, what is the actual length?

Answers

15 yards. 6/2=3 , 5x3 is 15 yards

Answer:

the actual length is 15 yards

A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A = lw 10.4 in. 13.9 in. 18 in. 24 in.

Answers

Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

w = 18

so the width of the cake pan is 18 inches.

The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.

Given :

A rectangular pan has a length that is 4/3 the width.

The total area of the pan is 432 square inches.

The following steps can be used in order to determine the width of the cake pan:

Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.

Step 2 - The area of a rectangle is given below:

[tex]\rm A = LW[/tex]

where L is the length and W is the width of the rectangle.

Step 3 - According to the given data, the length is 4/3 the width.

Step 4 - Substitute the values of the known terms in the above expression.

[tex]\rm 432 = w\times \dfrac{4w}{3}[/tex]

Step 5 - Simplify the above expression.

[tex]\rm 432 = \dfrac{4w^2}{3}[/tex]

[tex]\rm w^2 = 324[/tex]

w = 18 inches

Therefore, the correct option is C).

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A field in the shape of a square has an area of 8,100 square feet. How can you determine the length of one side of the field?

Answers

To determine the length of one side use the formula for the area of square. As a square is equal on all four sides, finding one length results in any of the four. Solve using the formula and you receive your answer of 90.

A = s²

8100 ft² = s² (set up formula)

√8100 ft² = s² ( get s alone by squaring both sides)

90 ft = s (answer)

We can conclude that the side of the given square with an area of 8100ft² is 90ft.

What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length. A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90-degree angles.

So, the area of the square is 8100ft².

Formula: s²So, we know that: 8100 = s²

Now, calculate for s as follows:

s² = 8100s = √8100s = 90ft

Therefore, we can conclude that the side of the given square with an area of 8100ft² is 90ft.

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Y=x-9
Help if possible

Answers

answer to the problem is 9

Y = - 9
x = 9

Hope that helped

If someone can help me figure out #6. Thanks

Answers

Answer: [tex](1,-\frac{3}{2})[/tex]

Step-by-step explanation:

To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].

The points are (-2,-1) and (4,-2).

[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex]              [add]

[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex]                            [divide]

[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]

Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].

Identify the geometric mean of 10 and 5/8.

Answers

24.08319

Step 1 : Find 1 / N

  1 / N = 1 / 5 = 0.2

Step 2 : Find mean

 GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2

       = ( 1050 ) 0.2

 GM= 4.020

20 points!!!! please help fast!!!!

Answers

Answer:

0 m/s

Step-by-step explanation:

The line is flat so there is no movement

Answer:

b

Step-by-step explanation:

on this graph a horizantal line means no speed because there is no change in distance

if x=2⅓-2, then find the value of x³+6x²+12x​

Answers

Answer:

-6

Step-by-step explanation:

In this equation it gives us the value of x which is,

×=2^(1/3)-2

x=-.74

We then need to plug in this value to, x³+6x²+12x

(-.74)³+6(-.74²)+12(-.74)

-6

Tom bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 32 cards left. How many cards did Tom start with ?

Answers

Answer:

56

Step-by-step explanation:

The answer to your question is 54

Solve for x:
-4x+1`=-9x+16

Answers

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

Which one is it? Help

Answers

The answer would be letter B.

Help me solve the following

Answers

Answer:

C. c = 8

Step-by-step explanation:

Step 1: Write equation

7 - 3c = -17

Step 2: Subtract 7 on both sides

-3c = -24

Step 3: Divide both sides by -3

c = 8

Answer:

C)8

7-3c=-17

-3c= -24

c=8

Which of the following statements does not represent the same value as the others?
a) the distance between 0 and −9
b) the absolute value of negative 9
c) the opposite of 9the absolute value of 9

Answers

The answer is In fact b

The statement that does not represent the same value as the others is 'the opposite of 9'

What is an absolute value of number?

"It is the actual distance of the number from zero."

What is opposite of a number?"The opposite of number is a value which is an additive inverse of number.""The opposite of number 'a' is '-a'."

For given question,

We need to find the statement which does not represent the same value as the others.

We find the value for each statement.

a) the distance between 0 and 9

The distance between 0 and 9 is 9.

b) the absolute value of negative 9

We know, |-9| = 9

So, the absolute value of -9 is 9

c) the opposite of 9

The opposite of 9 is -9.

d) the absolute value of 9

|9| = 9

So, the absolute value of 9 is 9.

Therefore, the statement that does not represent the same value as the others is 'the opposite of 9'

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You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week?

Answers

Answer:

5hours

Step-by-step explanation:

1 week =7 days

10 hr +20hr = 30 hrs

If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work

In each job you will work for 2hours 30

minute

Each day you will earn $60.00

At tutoring you get $37.50

At sippy drink you will get $22.50

In a week you will get a maximum of $420.00

Factorize completely
- 3a² + 4a + 4

Answers

Answer step-by-step:

A.)4
B.)10
C.)18
Which one could be the answer I’m lost.

Answers

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

Find the distance between each pair of points. Round to the nearest tenth
(-2,2) (5,2)

Answers

Answer:

Distance = 7

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(5-(-2))^2+(2-2)^2} \\d= \sqrt{(7)^2+(0)^2} \\d= \sqrt{49+0} \\d= \sqrt{49}\\ d= 7[/tex]

a ball is dropped from rest from a high window of a tall building and falls for 4 seconds. Neglecting air resistance. The final velocity of the ball is m/s. (g=-9.8m/s 2) the first person to answer me gets the brainliest

Answers

Step-by-step explanation:

v=u+at

v=0+9.8m/s2 ×4s

v=39.2 ms-1

Final velocity; v =  -39.24 m/s

In free fall, the motion is in the direction of gravity.

Formula for final velocity in free fall is;

v = u + gt

(g is negative)

We are told the ball is dropped from rest.

Thus;

Initial velocity: u = 0 m/s

Time; t = 4 secs

Acceleration due to gravity; g = -9.81 m/s²

Thus, Plugging in the relevant values, we have;

v = 0 + (-9.81 × 4)

v = -39.24 m/s

Final velocity; v =  -39.24 m/s

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Find the slope and y−intercept. y − 8 = 2x + 6

Answers

The slope is 2 and the y-intercept is (0,14)

Triangle DEF is a right triangle. What is the measure of ZEFD?
D
57°
F
E

Answers

Answer:

               33°

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

What is 5000000+2000

Answers

Answer:

Step-by-step explanation:

5000000

+ 2000

5002000 (Answer)

The price of a dress in reduced by 60%. When the dress it is reduced by 60% of the reduced price. If the price of the dress after both reductions is 48$ what was the original price

Answers

Answer:

28.80$

Step-by-step explanation:

You are finding 60% of 48 because the question is asking what is the price of a 48 dollar item that is 60% off.

In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?

Answers

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

Which statement is true about the value of |6|?​

Answers

what are the options?

Answer:

C

Step-by-step explanation:

I got it right on a quiz

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