Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?

Answers

Answer 1

Answer:

21x/20 or can be written as  x + x/20 .

Step-by-step explanation:

The number is x

step 1

x is increased by 50%

value of 50% of x = 50/100 *x = x/2

New value after this change = x + 50% increase = x + x/2 = 3x/2

Step 2 The value obtained is decreased by 30%

value of 30% newly found number is = 30% of value found in step 1

value of 30% newly found number is = 30/100 * 3x/2 = 9x/20

This value (9x/2) is subtracted from value found in step 1(3x/2) as given that  value obtained is decreased by 30%

new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20

new value found after 30% decrease = (30x-9x)/20 = 21x/20

Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20


Related Questions

Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Question 8 options:

A)

y = (x – 2)2

B)

y = 3(x – 2)2

C)

y = 3(x + 2)2

D)

y = (x + 2)2

Answers

Answer:

C

Step-by-step explanation:

y=3(x-2)² is the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).

what is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

We have to find  equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).

Vertex=(2, 0)

y=a(x-2)²

12=a(0-2)²

12=4a

Divide both sides by 4

a=3

Now put a value in above equation

y=3(x-2)²

Hence, y=3(x-2)² is the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).

To learn more on Parabola click:

https://brainly.com/question/21685473

#SPJ2

Evaluate -(3^-5)(3^3)
O A. -9
O B. - 1/2
O C. 9
D. 1

Answers

Answer:

-1/9

Step-by-step explanation:

- (3^-5) (3^3)

Apply the law of exponents.

- 3^(-5 + 3)

Add the exponents.

- 3^(-2)

Evaluate.

= - 1/9

Answer:

A

Step-by-step explanation:

(3^-5)(3^3)

=3^-5+3

=3^-2

=1/3^2

=1/3×3

=1/9

=-9

(07.08 LC) The table below shows the values of y for different values of x: Which equation shows the relationship between x and y? (5 points) Select one: a. y = 3x b. x = 3y c. y = 3 + x d. x = 3 + y

Answers

The answer to this question would be A or Y = 3x.

Hope you do great!

There are 12 students who have finished their assignments early. The
teacher will choose 3 students to assist her. What is the probability
that Elliot, Nevaeh, and Taylor are chosen?

Answers

I think that It’s 25%

Answer:

3/12=1/4

Step-by-step explanation:

elliot,nevaeh and taylor are 3 boys from the 12 boys

so the probability is 3/12

we should always write in simple form so 1/4

that's  25%

hope it helps<3<3

plz rate

The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest

Answers

It’s “A” because you need to add the four sides together which gets you the 40 cm sorry if it is wrong but I think it is that

Answer:

40cm^2

Step-by-step explanation:

becuase since all the sides of the square is equal, when you add it up, you will get 40 as your answer

Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I thought of a number, divided it by 11 and added seven. I got 19. What was my number?

Answers

The answer is 209

Start at 19 and times 11 to 19. You need to do the opposite. If there were more numbers in the equation then you would do the same; work your way up and do the opposite of what it says

Answer: 132

Step-by-step explanation:

First, you write your equation. Let your number be X.

Here is your equation.

(x ÷ 11) + 7 =19

Now, you do the opposite. What is the opposite of addition? Subtraction. So, you do 19 - 7=12

But we still have x ÷ 11 and now we would do 12 x 11, which is 132 and that should be the answer. Hope this helps!

If f(x) = 6x
6x – 9 and g(x) = (x + 6,
which statement is true?

Answers

Answer: The second option is correct, 6 is in the domain of f composition g.

Which of the following lines has a negative slope?

Answers

Answer: 3rd graph

Explanation: In order to determine which graph shows a downward or negative slope, we need to be able to look at each of the graphs and determine which line is decreasing when going from left to right.

Notice that the 3rd graph is the only graph with a downward

or negative slope which means that this is our answer.

Answer: mark the guy above as brainiest he deserves it.

Step-by-step explanation:

Use the equation tool to complete the table.
y = 120 + 18(x)
Enter the correct answer.
Tara has made 120 cookies for the sale
and has one more day to bake. Tara's pan
allows her to bake 18 cookies per batch.
Tara can use the equation of the function to predict the total number of cookies: y=120+18(x). However, she prefers to use a table. (image)

Answers

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.

Answers

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Express relation as a set of ordered pairs!!! Please help! If you don’t know the answers can you please explain to me how to do it then?

Answers

Answer: A. (1,25000) (2,21250) (3,13750) (4,10000)

B. Domain: {1, 2, 3, 4}. Range: {10000, 13750, 21250, 25000}

C. No

Step-by-step explanation:

For A: The number of years the car is owned will affect the value of the car. So the number of years owned is the x and the value of the car is y.

For B: The domain means x and the range means y. Order them in numerical order and don't forget to put {brackets}!

For C: Function means if on a graph, it shows up as a squiggly line. The easiest way to identify whether of whether it is not a function is if a x value repeats.

– Hope this helps!

Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2

Answers

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Type the expression that results from the following series of steps: Start with z , subtract 5, then times by 3.

Answers

Answer:

(z - 5)3

Step-by-step explanation:

Since we are following the directions strictly, we must subtract 5 from z first.

z - 5

Then we multiply the ENTIRE thing by 3

3(z - 5)

Answer:

(z-5)3 or (z-5)*3

Step-by-step explanation:

Use Pedmas. I am sorry I am not good a explaining but that is the answer.

Adam runs for 10 minutes at 30 miles per hour. How far does he run?

Answers

Answer:

Hai.

If adam runs 30 Miles per hour, then we can set an equatio.

30miles for 1 hour

x for 10 minutes.

we should do this equity. 10minutes×30miles÷60minutes.

10×30 = 300÷60 = 5miles.

good luck. if you have question, u can ask

30 minutes for 1 hour

Question 24 on this pictured math sheet please. Have a great day!

Answers

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 4x-7y=-12 and -2+6y=11 plz help!!​

Answers

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

[tex]4x-7y=-12[/tex]

[tex]-2x+6y=11[/tex]

It can we written as

[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]

Divide row 1 be 4.

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]

Applying [tex]R_2\to R_2+2R_1[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]

Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]

Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]

Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].

Hence, option C is correct.


If f(x) = 3x and g(x)=1/x
what is the domain of (gºf)(x)?
O x>0
O all real numbers except x=
= 0
X<0
all real numbers

Answers

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

which is a quadratic function
f(x)=2x+x+3
f(x)=0x2-4x+7
f(x)=5x2-4x+5
f(x)3x3+2x+2

Answers

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305

Answers

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)​

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The probability of picking box A;

P(A) = 1/2

Box A has 5 dark chocolates and 10 milk chocolates.

The probability of picking a milk chocolate from box A;

P(milk in A) = [tex]\frac{10}{15}[/tex] = [tex]\frac{2}{3}[/tex]

P(A) and P(milk in A) = [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{1}{3}[/tex]

Answer=2/3 or 66.6%
Explanation:
Total number of milk chocolate in Box A = 10
Total number of dark chocolate in Box A = 5
Total number of chocolates = 15
So probability of choosing Milk chocolate =
10/15*100
=> 2/3*100
=66.66%
Hope this helps you
Please mark this as the brainliest


a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a,e, i,o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040

Answers

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576

Simplify.
3sqrt -64m^15n^3

-8m^5
-8m^5n
-4m^5n
-4m^5

Answers

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Find the equation of the exponential function represented by the table above​

Answers

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x

(6,-6);slope=5/6 write the equation of the line

Answers

Answer:y=5/6x + -7

Step-by-step explanation:

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (1 point) Select one: a. The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles. b. The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles. c. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles. d. The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

Answers

Answer:

C

Step-by-step explanation:

The dependent variable is the one on the y-axis which would be distance. This makes sense because the amount of time the dragonfly flies determines the distance it flies. The equation is y = 22x. When x = 24, y = 22 * 24 = 528.

The countries population in 1992 was 147 million . In 1996 it’s was 153 million. estimate the population in 2008 used The exponential growth formula. Round your answer to the nearest million

Answers

Answer:

The population in 2008 is 171 million

Step-by-step explanation:

In order to calculate the population in 2008 using the exponential growth formula we would have to make the following calculation:

population in 2008= population in 1996 + population increased between 1996 and 2008

According to the given data:

population in 1996=153 million

population in 1992=147 million

Therefore, the increase of population from 1992 to 1996=153 million-147 million= 6 million

Therefore, the increase of popoulation is 1 1/2 million each year.

Therefore, if from 1996 and 2008 are 12 years, the population increased between 1996 and 2008= 12 x 1 /1/2 = 18 million.

Therefore, population in 2008=153 million + 18 milliion

population in 2008=171 million

The population in 2008 is 171 million

If ∠a = 90°, find the measures of ∠b, ∠c and ∠d.

Answers

Answer:

m∠b = 35°

m∠c = 145°

m∠ d = 35°

Step-by-step explanation:

To find m∠b, we use Definition of Supplementary Angles:

180 - (90 + 55) = 35°

To find m∠c, we also use Definition of Supplementary Angles:

180 - 35 = 145°

To find m∠d, we use Vertical Angles Theorem:

m∠b = m∠d = 35°

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

You have two lease options for a new car. Option one requires a $4,000 down payment and a monthly payment
of $175. Option two requires a $500 down payment and a monthly payment of $425. After how many months
on the lease would the amount you paid be equivalent?
36 months
14 months
10 months
15 months

Answers

Answer:

Step-by-step explanation:

er

10 months
in 10 months both plans will cost a total of $4750

Please i need help with this ASAP....many thanks

Answers

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

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