The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)

A. 1.50

B. 1.60

C. 1.75

D. 2.50

E. 3.20

Answers

Answer 1

Let the original price = x

From X to get the new price you multiply by 1 + the percent of the increase which is 25%

1,25X = 2.00

Divide both sides by 1.25:

X = 1.60

The original price was B. 1.60

Answer 2

Answer:

x=1.60

Step-by-step explanation:

Let x be the original price

We increase by 25%

x+ .25x = new price

1.25x = 200

Divide each side by 1.25

x = 2.00/1.25

x=1.60


Related Questions

Find the median of :- 25, 37, 27, 38, 29, 20, 39​

Answers

Answer: The median is 29

Step-by-step explanation:

I started by arranging the data points from smallest to largest to get 20, 25, 27, 29, 37, 38, 39. Then I found the middle number in the data set and got 29.

Answer:

Median: 29

Step-by-step explanation:

Median: middle number

•••••••••••••••••••••••••••••••

Sort the numbers from least to greatest

20, 25, 27, 29, 37, 38, 39

Then calculate the median

The median would be 29

Use the distributive property to write equivalent expressions.

Someone please help ty!

Answers

Answer:

12+27k

Step-by-step explanation:

distribute the 3

Instructions: Find the measure of the indicated angle to the nearest degree.
29 and 17

Answers

Answer:

30º

Step-by-step explanation:

because it is a right triangle, we can use trig functions to solve

tan^{-1}=17/29=30.379

its given that s=n(a+c)/2


Express c in terms of s, n and a ​

Answers

This is the step by step solutions, hope u understand

Calculate the answer without using a calculator
g) cos 180° + 2 fan 30 sin 60​

Answers

Answer:

0

Step-by-step explanation:

Tan 30 and Sin 60 are in first quadrant and so their values will be positive.

Cos 180 is in Second quadrant. In second quadrant , value of cos is negative.

Cos 180 = -1 ; Tan 30 = 1/√3  & Sin 60 = √3/2.

Cos 180 + 2 tan 30 + Sin 60 =  [tex]-1 + 2* \frac{1}{\sqrt{3}}*\frac{\sqrt{3}}{2}[/tex]

                                              = [tex]-1 + 1 = 0[/tex]

Which shows the following expression after the negative exponents have been eliminated?

Answers

Answer:

Option A

Step-by-step explanation:

[tex]\frac{1}{a^{-m}}=a^{m}\\[/tex]

[tex]\frac{m^{7}n^{3}}{mn^{-1}}=\frac{m^{7}n^{3}n^{1}}{m}=\frac{m^{7}n^{3}n}{m}[/tex]

need help asap plz
A rectangle ABCD has a width of 3 inches and a length of 7 inches.


Answer the following questions:


a) What is the Perimeter of the rectangle?


b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the old one to find the times of increase/decrease)


c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of rectangle ABCD?


d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c) and d) for the shape you chose.


e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and what happens when you change both dimensions of the shape?

Answers

Answer:

I'm sorry but i only know a) so yeah

anyway a) is 20 in.

Step-by-step explanation:

Hope it helps!

Nick works part-time at a bookstore. His pay varies directly with the number of hours worked. In one week, he earned $120 for 8 hours of work.

a) Define two variables for this relation.



b) Describe the rate of change in words.


c) Determine an equation to represent the relation:


d) Use the equation to determine how many hours Nick must work to earn $345

Answers

Answer:

23 hoiurs

Step-by-step explanation:

Given data

a. The two variables are

1. Number of hours worked

2. The amount earned

b. The rate is given as

=120/8

=$15 per hour

c. The equation is given as

rate=Amount earned/ number of hours worked

15= 345/hours

make hours subject of the formula we have

hours= 345/15

hours= 23 hours

Hence he must work for 23 hours

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?

5x + 2 – 3x2

Answers

Answer:

leading coefficient -3

constant 2

Step-by-step explanation:

Standard from is from largest power to smallest power

-3x^2 +5x +2

The leading coefficient is the number in front of the largest power of x

-3

The constant is the number without a power of x ( or x^0)

2

THIS QS with explanation sum

Answers

Answer:

X = 276°

Step-by-step explanation:

Divide X into x1 and x2

then then using the trick of co-interior angles, find the answer of x1 and x2 . then add x1 and x2

Help Needed Please!!!
First the volume of the sphere

Answers

Answer:

1766 using 3.14 for pi

1767 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

we need to know the radius

r =d/2 = 15/2 = 7.5

V = 4/3 (pi)( 7.5)^3

V =562.5 pi

Approximating pi by 3.14

V = 562.5 (3.14)

V =1766.25

To the nearest whole number

V = 1766

If you use the pi button

1767.14586

To the nearest whole number

1767

Answer:

[tex]V=1767[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Volume of a Sphere:  [tex]V=\frac{4}{3}\pi r^{3}[/tex]

Find the radius

[tex]Radius = Diameter / 2[/tex]

[tex]Radius = 15 / 2[/tex]

Plug in the values and solve

[tex]V=\frac{4}{3}\pi * \frac{15}{2}^{3}[/tex]

[tex]V=\frac{4}{3}\pi * \frac{3375}{8}[/tex]

[tex]V=\frac{1125}{2}\pi[/tex]

[tex]V=1767[/tex]

Answer:  [tex]V=1767[/tex]

Solve the system of equations using substitution.
y = x + 6
y = –2x – 3

Answers

Answer:

x = -3

y= 3

Step-by-step explanation:

y =  x + 6 -----------------------(I)

y = -2x - 3 ---------------------(II)

Substitute y =x +6 in equation (II)

x + 6  = -2x - 3

Add 2x to both sides

x + 2x +6 = -3

Combine like terms

3x + 6 = - 3

Subtract 6 from both sides

3x = - 3 - 6

3x = -9

Divide both sides by 3

x = -9/3

x = -3

Plug in s = -3 in equation (I)

y = -3 + 6

y = 3

hope this helps! feel free to clarify

For each relation, decide whether or not it is a function.

Answers

Answer:

Step-by-step explanation:

Relation 1 is a function

Relation 2 is not a function

Relation 3 is a function

Realation 4 is not a function

{(5,2), (-2,4), (2, -7)}

Domain:

Range:

Answers

Answer:

Step-by-step explanation:

The domain are all the x values in order, no repeats allowed:

D = {-2, 2, 5}

Same thing for the range, except these are the y values:

R = {-7, 2, 4}

The coordinates stated this way don't match up to what they are in coordinate form, but they don't have to.

Answer:

Domain : {-2,2,5}

Range:{ -7,2,4}

Step-by-step explanation:

The domain is the inputs

Domain : {-2,2,5}

The range is the outputs

Range:{ -7,2,4}

7. If the supplement of an angle is 69, then find its complement.​

Answers

Answer:

no solution

Step-by-step explanation:

Supplementary angles add to 180

Let x be the supplement

x+69 = 180

x = 180-69

x =111

The complement of an angle means they add to 90

111+y = 90

y = 90-111

y =-21

But an angle cannot be negative so there is no solution

Answer:

21 degrees.

Step-by-step explanation:

To find the complementary angle you have to subtract the given angle from 90.

so,

90 - 69 = 21.

Extra info: if you need to find the supplementary angle you need to subtract the given angle from 180.

Integrate the following.[tex]\int\limits^a_b {sin(x)} \, dx[/tex]

Answers

Answer: -cos(a)+cos(b)

Step-by-step explanation:

To integrate is the same as saying to find the antiderivative.

[tex]\int\limits^a_b {sin(x)} \, dx[/tex]         [antiderivative of sinx is -cosx]

[tex]-cos(x)|_b^a[/tex]           [include boundaries]

[tex]-cos(a)+cos(b)[/tex]

Therefore, the integral would be -cos(a)+cos(b).

Which of the following is the number of sides for a regular polygon that will
not form a regular tessellation?

A. 6
B. 4
C. 7
D. 3

Answers

Answer:

A

Step-by-step explanation:

A

The number of sides for a regular polygon that will not form a regular tessellation is 7. The correct option is C.

What is a polygon?

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

A tessellation or tiling is the seamless covering of a surface, frequently a plane, with one or more geometric shapes, known as tiles. One regular polygon can be used to create a single regular tessellation. Two or more regular polygons are used in a semi-regular tessellation.

Triangles, squares, and hexagons are the only three regular tessellations.

Now, the name of the polygon having 3, 4, and 6 sides is triangle, square, and Hexagon. Therefore, the only regular polygon that will not form a regular tessellation is heptagon, which has 7 sides.

Hence, the number of sides for a regular polygon that will not form a regular tessellation is 7.

Learn more about Polygon here:

https://brainly.com/question/10441863

#SPJ2

Which side lengths form right triangles? Please help

Answers

Answer:

Step-by-step explanation:

HELP PLEASEEE!!!! ASAP!!!!!

Answers

To find the inverse of a function, switch the x's and y's, then solve for y again.

y = 2/3x - 17

SWITCH

x = 2/3y - 17

2/3y = x + 17

y = 3(x + 17) / 2

y = x - 10

SWITCH

x = y - 10

y = x + 10

y = cuberoot(2x)

SWITCH

x = cuberoot(2y)

x^3 = 2y

y = x^3 / 2

y = x/5

SWITCH

x = y/5

y = 5x

Hope this helps!

What is the exponential form of log3 2187 = 7?

Answers

Answer:

2187 = [tex]3^{7}[/tex]

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex] , then

[tex]log_{3}[/tex] 2187 = 7

2187 = [tex]3^{7}[/tex]

Answer:

3 ^7 = 2187

Step-by-step explanation:

log3 2187 = 7

log a (b) = c

a^c = b

3 ^7 = 2187

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of best fit in slope-intercept form?

Answers

Answer:

Step-by-step explanation:

In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:

[tex]m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}[/tex]

Since there's only one choice with that slope, that is the choice you want.

Solve the equation 5x + 2(2x -23) = -154

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

5x+2(2x-23)=-154

5x+4x-46=-154

9x-46=-154

9x=-154+46

9x=-108

x=[tex]\sf{\dfrac{-108}{9} }[/tex]

x=-12

Answer:

x = -12

Step-by-step explanation:

5x + 2(2x - 23) = -154

Distribute;

5x + 4x - 46 = -154

Collect like terms

9x - 46 = -154

Add 46 to both sides;

9x = -108

Divide both sides by 9

x = -12

HELP ASAP
1.
(8,4)
(-4,2)
(4,-8)
(-8,4)
2.
(6,6)
(12,-12)
(-12,12)
(12,12)
3.
(-2,6)
(-4,12)
(4,12)
(12,-4)

Answers

Answer:

A(-2,1)》A1(-8, 4)

B(-3,3)》B1(-12,12)

C(-1,3)》C1(-4,12)

HOPE IT HELPS....

Here is Question Two

Answers

AB= 9 UNITS

hope it helps you...

Answer:

by Pythagoras theorem

in first

a²+ b² = c²

6² + 9² = c²

36 + 81 = 117

AD = 117

and in second

a² + b² = c²

a² + 6² = 117

a² = 117 - 36

AB² = 81

AB = 9

A boy spent 2/7 of his pocket money on transport and 1/5 on sweet. if he left with 20. what is the amount of money in the boys pocket​

Answers

Answer:

x = 350

Step-by-step explanation:

x - starting amount

[tex]\frac{2}{7} x[/tex]  = after transport

[tex]\frac{1}{5} (\frac{2}{7} x)[/tex] = after sweets

[tex]\frac{1}{5} (\frac{2}{7} x)[/tex] = 20

[tex](\frac{2}{35} x)[/tex] = 20

2x = 700

x = 350

How do you solve this step-by-step?

Answers

Answer:

7 1/20

OAmalOHopeO

Will it matter if I don’t get accelerated pre algebra in 7th grade and get into normal pre algebra? Will it make me less likely to get into top colleges?

Answers

Answer:

Maybe, there is a chance, but I don't know for sure.

It might matter, but I wouldn't worry or stress about it too much.

My only advice to you is do not procrastinate and if you need help don't be afraid to ask.

Answer:

It matters but not like you think.

GPA, extracurricular activities, and SAT/ACT are the biggies. Truthfully it won't change a thing if you took accelerated pre-algebra versus normal. In fact, spoiler alert, the SAT/ACT (I'm assuming your american) will matter more than your courses ever did. I took two years of college physics in highschool and i made more off my SAT. Not only that, but an A in an easy class looks better than a C in a hard one on transcripts.

My advise is slow down, relax, and learn it well. Better to learn the concept fully in normal so that you can apply it, than half learn it in advance and struggle in future applications. After all, math ALWAYS builds. Take it slow, take it easy.

I would recommend talking to a school guidance counselor about your academic stress. Im sure their professional insight will help put you at ease. It may also help to get you going in the right direction so that you achieve your goals.

Good luck. Enjoy life

Make six prime numbers using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 once each.


~can you plz explain?!

Answers

Answer:

2, 3, 5, 7, 11, 13.

Step-by-step explanation:

A prime number is a number that you don't get a whole number when divided by 2 but you do get a whole number when divided by prime numbers such as 3,5,7,11... Basically a number with two factors, it can only be divided by 1 or themselves. for example:

9/2 = 4.5 (this is not a whole number so it might be a prime.

9/3 = 3 (it works when divided by a prime number.

another:

8/2 = 4 (it gives a whole number when divided by 2 therefor, it can't be a prime number.

Answering:

There are 6 prime numbers at the top^^^^.

One possible answer is  2, 3, 5, 41, 67, 89

Another possible answer is  2, 3, 5, 47, 61, 89

Other answers may be possible.

=============================================================

Explanation:

This is a trial and error type of problem. Though with practice it's not as blind of randomly guessing.

We have 9 values here. If we paired them up, then we can form at most 4 pairs (since 9/2 = 4.5 rounds down to 4). That means we won't be able to form six two-digit primes. Some of the primes must be single digits.

We can have 3 single digit primes and 3 two-digit primes since 3+2*3 = 9.

The single digit primes are: 2, 3, 5, 7

Let's say 2 and 5 are definitely locked down to be the single digit group. I'm doing this since we can't have 2 or 5 as the units digit. If the units digit is 2, then 2 is a factor and it's not prime. Similarly, if 5 is the units digit, then 5 is a factor and that two digit value is not prime.

For good measure, we'll throw 3 in there as well and see what happens.

------------------

The digits we have left are: 1, 4, 6, 7, 8, 9

The number 14 isn't prime, but 41 is prime

67 is prime so that's another two values off the list

lastly, 89 is prime so that works as well.

So one possible sequence is 2, 3, 5, 41, 67, 89

Notice how we can swap the 1 and 7 to go from 41,67 to 47,61; this gets us two other primes. So another possible answer is 2, 3, 5, 47, 61, 89

------------------

Side note: having the list of primes on a reference sheet is a handy recommendation. You only need to go up as high as 97 which is the largest two digit prime.

at a post office always charges a flat one-time fee for any order. One time, Michael sent 35 letters and paid 26 dollars. The next time, he send 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?

Answers

Answer:

The post office charges $0.7cents to send one letter, and the fee is $1.5

Step-by-step explanation:

If f(x)f(x) is an exponential function where f(1.5)=5f(1.5)=5 and f(7.5)=79f(7.5)=79, then find the value of f(3)f(3), to the nearest hundredth.

Answers

Answer: [tex]7.93[/tex]

Step-by-step explanation:

Given

[tex]f(x)[/tex] is an exponential function. Suppose [tex]f(x)[/tex] is [tex]ae^{bx}[/tex]

[tex]f(1.5)=5\ \text{and}\ f(7.5)=79[/tex]

[tex]\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)[/tex]

Similarly,

[tex]\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)[/tex]

Subtract (i) and (ii)

[tex]\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066[/tex]

Insert the value of [tex]b[/tex]

[tex]\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16[/tex]

So, the function becomes

[tex]\Rightarrow f(x)=3.16e^{0.3066b}[/tex]

[tex]\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93[/tex]

Answer:

7.93

General Exponential Form: y=ab^x

Plug in both points

divide the equations

cancel out a, subtract exponent of b

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