Melissa bought a sofa on sale for $630. This price was 28% less than the original price.
What was the original price?

Answers

Answer 1

Answer:

630 is 28% of 2250.

Step-by-step explanation:

28 / 100 = .28

2250 X .28 = 630.


Related Questions

resolute academy algebra 1

Answers

Answer:

B

Step-by-step explanation:

We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as

2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3

Comparing this with each answer, we have

A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct

B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure

C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect

D: [tex]\frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3[/tex]. This is incorrect

Answer:

C. 2(x + 10)(x - 10)

Step-by-step explanation:

2x^2-200\\2(x^2-100)\\2(x+10)(x-10)

Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.

Answers

Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

= 2(80 + 192 + 60)

= 2(332)

= 664 in.²

please help me i will give 20 points for this question ​

Answers

Answer:

1. a. 2

b. -½

c. y - 3 = -½(x - 8) => point-slope form

y = -½x + 7 => slope-intercept form

2. a. -1

b. 1

c. y - 5 = 1(x - 3) => point-slope form

y = x + 2 => slope-intercept form

Step-by-step explanation:

1. (8, 3) and (10, 7):

a. The gradient for the line joining the points:

Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (8, 3) = (x_1, y_1) [/tex]

[tex] (10, 7) = (x_2, y_2) [/tex]

Plug in the values

Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]

Gradient = [tex] \frac{4}{2} [/tex]

Gradient = 2

b. The gradient of the line perpendicular to this line = the negative reciprocal of 2

Negative reciprocal of 2 = -½

c. The equation of perpendicular line if it passes through the first point, (8, 3):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (8, 3)

Slope (m) = -½

Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - 3 = -½(x - 8) => point-slope form

We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:

Thus:

y - 3 = -½(x - 8)

y - 3 = -½x + 4

y - 3 + 3 = -½x + 4 + 3

y = -½x + 7

2. (3, 5) and (4, 4):

a. The gradient for the line joining the points:

Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5) = (x_1, y_1) [/tex]

[tex] (4, 4) = (x_2, y_2) [/tex]

Plug in the values

Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]

Gradient = [tex] \frac{-1}{1} [/tex]

Gradient = -1

b. The gradient of the line perpendicular to this line = the negative reciprocal of -1

Negative reciprocal of -1 = 1

c. The equation of perpendicular line if it passes through the first point, (3, 5):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (3, 5)

Slope (m) = 1

Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).

Thus:

y - 5 = 1(x - 3) => point-slope form

We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:

Thus:

y - 5 = 1(x - 3)

y - 5 = x - 3

y - 5 + 5 = x - 3 + 5

y = x + 2

5.3.8 Higher / Lower 2.0

Answers

Answer:

Higher...

Step-by-step explanation:

5.3.8 isn't really a legal number... if you meant 5.38 then it would be higher than 2. If you really meant 5.3.8 then I don't know.

Or is this code?

Say you have this: (sorry there's no indentation)

my_float = round(3.3312, 2)

while True:

guess = float(input("Guess my number: "))

if guess > round(my_float, 2):

print ("Too high!")

elif guess < round(my_float, 2):

print ("Too low!")

elif round(guess,2) == round(my_float, 2):

print("Correct!")

break

print("Great job guessing my number!")

You should be able to use the round function just like you do in the if statement. This can be done on a separate line between taking input and the if or it can be done on the same like.

guess = round(guess, 2)

Or:

guess = round(float(input(“Guess my number: “)), 2)

Hope this helped! Have a nice day!

pls pls pls help meeeeee

Answers

Answer:

i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3

Step-by-step explanation:

There is a distance marker every 100 m and a pole every 80 m along a straight road. There is a distance marker and a pole together at the start of the road. How far along the road will there be a distance marker and a pole together again?

Answers

Answer:

At a distance of 400 m.

Step-by-step explanation:

From the information in the given question, a distance marker and pole are together at the start of the road.

Thus,

the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.

Also,

the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.

Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.

Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.

The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
a. O 6x-7y+27 = 0
b. O 7x+6y-27 = 0
c. O 6x+7y-27=0
d. 0 6x+7 y+27 = 0
e. O -7x+6y+99 = 0
f.
No Answer

Answers

Answer:

0 = 7x-6y -99

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 7/6x+b

Using the point

-6 = 7/6(9) +b

-6 = 7*3/2 +b

-6 = 21/2 +b

Subtract 21/2 from each side

-12/2 -21/2 = b

-33/2 = b

y= 7/6x -33/2

Multiply each side by 6

6y = 7x - 99

Subtract 6y from each side

0 = 7x-6y -99

Pls help and fast! 17 points!

Answers

Answer:

54 square units

Step-by-step explanation:

144 - 18 - 4(18) = 54 square units

Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above

Answers

5+(-18x+15)5 + (-18x +15)5

5+ (-90x +75) + (-90x + 75)

-180x +155

let's see the alternatives:

a) -2000x - 2018 -> -200x - 201,8

b) -30x - 33 -> -180x -198

c) none of the above

so, c is the right one

hope it helps :)

Answer:

ITS C

Step-by-step explanation:

Angela works a basic week of 40 hours and her hourly rate of pay is $12.50. Calculate her weekly wage.

Answers

Answer:

$500

Step-by-step explanation:

Answer:$500

Step-by-step explanation:

To calculate the weekly wage, take the hourly rate and multiply it by the number of hours worked. For this question it would be:

$12.50 x 40

=$500

That is your weekly wage

Hope this helped! <3

To qualify for a certain car loan, a customer must have a credit score of at least 600. In addition, the cost of the car must be at least $5000. Define the variables, write a system of inequalities to represent this situation, and name one possible solution.

Answers

Answer:

c ≥ 600

p ≥ 5000

Step-by-step explanation:

Let :

credit score = c

Cost of car, p

To qualify :

Credit score must be atleast 600 ;

c ≥ 600

Cost of car must be atleast 5000

p ≥ 5000

Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?

A.It is not possible to determine if the triangles are congruent.

B. ∆ABD ≅ ∆ACD by the SSS Postulate.

C. ∆ABD ≅ ∆ACD by the SAS Postulate.

Answers

Answer:

Options (C)

Step-by-step explanation:

For the congruence of the triangles ΔADB and ΔADC,

                Statements                             Reasons

1). AB ≅ AC                                   1). Given

2). AD ≅ AD                                 2). Reflexive property

3). ∠BAD ≅ ∠CAD                       3). Given

4). ΔABD ≅ ΔCAD                       4). SAS postulate

Therefore, Options (C) will be the correct option.

The volume of a sphere is 3,000π m3. What is the radius of the sphere to the nearest meter?

Answers

Answer:

13m

Step-by-step explanation:

volume of sphere = [tex]\frac{4}{3} * pi * r^{3}[/tex] = 3000π

4r^3/3 = 3000

r^3 =2250

r = ∛2250 = 13.10370 = 13

Answer:

Radius of the sphere is 13.1 m.

Step-by-step explanation:

Volume:

[tex]{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}[/tex]

Substitute:

[tex]{ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}[/tex]

Simplify the following​

Answers

Answer:625/16 or 39,0625

Step-by-step explanation:

=5*5/2*5÷2*3/5*3

=160/64÷8/125

=625/16 or 39,0625

Answer:

Alternate form is 1525.87891

The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves

Answers

Answer:

Ty = √k  * Tx

The orbital period of Y has to be be multiplied by √k .   or . k∧1/2

Step-by-step explanation:

The general equation:

T² = A³

is for the case of planet X

Tₓ² = Aₓ³

In the case of planet Y

Ty² = k * Aₓ³ .     and   Aₓ³ = Tₓ²

By substitution:

Ty² =  k *Tₓ²

Ty = √k  * Tx

Answer:

D: K^3/2

Step-by-step explanation:

Just took the test and this is right

2. Terrence is tracking his own grades. On his first quiz, he got 3 points correct out of 20
points possiblé, or 15%. On his second quiz, he got all 30 points correct.
a. How many points has Terrence earned so far?
SAS
b. How many total points were available on the two quizzes?
c. What is Terrence's percentage grade right now?

Answers

Answer:

a) 33

b) 50

c) 66%

Step-by-step explanation:

a) 3+30

b) 20+50

c) 33/50 * 100% = 66%

Also with explanation

Answers

x=16 & 4
Hope it helps!

When investing money in a bank account, in which situation will you have the most money in your account at the end of three years?

Compounded semiannually
Compounded yearly
Compounded quarterly
Compounded monthly

Answers

Answer:

continuously is the most, and what is actually done at the banks...

as for your answer:

Compounded monthly

Step-by-step explanation:

When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.

What is compound interest?

Compound interest is the interest you earn on interest.

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

To check in which situation we will earn the most money in end of  three years, we calculate the final amount in each situation keeping other variables constant.

Let

P = 5000

r = 5%

t = 3 years

When compounded annually,

[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]

When compounded semiannually,

[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]

When compounded quarterly,

[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]

When compounded monthly,

[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]

Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.

Learn more about compound interest here

https://brainly.com/question/14295570

#SPJ2

All points of the step function f(x) are graphed.

On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?

{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}

Answers

Answer:

A. {x| –4 < x ≤ 4}

Step-by-step explanation:

Answer:

{x| –4 < x ≤ 4}

Step-by-step explanation:

Edge Quiz 2023

5. Dylan walks into a video arcade with a pocketful of quarters. He spends them
at a rate of nine every half hour until he runs out. If the amount of quarters Dylan
has is graphed over time, which feature of the graph corresponds to Dylan's
initial amount of quarters, before he spends the first one?
The y-intercept
The slope
The x-intercept
The minimum value

Answers

Answer:

The y-intercept

Step-by-step explanation:

Have a good day :)

A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest taxi ride he can afford, in kilometres?

Answers

Answer:

4 kilometers

Step-by-step explanation:

First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.

2 + 0.40x = 9.60

Now, we have to solve for our x value by subtracting 2 from both sides.

0.40x = 7.60

Next, we can divide both sides by 0.40 to find out what our x value is equal too.

x = 19

Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.

So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

6.
Ahmad claims that the difference of squares method of factoring can be used even when the values aren't perfect squares. An example of his thinking is shown.

Answers

Answer:

Below.

Step-by-step explanation:

a. (x - √5)(x + √5)

= x(x + √5) - √5(x + √5)

= x^2 + √5x - √5x - 5

= x^2 - 5.

b. 10 - 3x^2

= (√10 - √3x) (√10 + √3x)

(a) Ahmad's factorization is correct.

(b)  (√10 - √3x)(√10 + √3x)

Given equation as

x² - 5 = (x - √5)(x + √5)

What is a Perfect Square?

A Perfect Square is defined as when multiplying an integer by itself, we get a perfect square, which is a positive integer. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.

Solution of (a)

Taking RHS from the given equation

⇒ (x - √5)(x + √5)

⇒ x(x + √5) - √5(x + √5)

⇒ x² + √5x - √5x - 5

⇒ x² - 5.

So, RHS = LHS

Hence, Ahmad's factorization is correct.

Solution of (b)

⇒ 10 - 3x²

According to Ahmad's strategy  

⇒ √10(√10 + √3x) - √3x(√10 + √3x)

(√10 - √3x)(√10 + √3x)

Learn more about perfect square here:

https://brainly.com/question/385286

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The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10

Answers

Answer:

F.  m/10.

Step-by-step explanation:

10 miles = 1 inch

1 mile = 1/10 of an inch so

m miles = m/10 inches.

Given the preimage and image, find the dilation scale factor​

Answers

Answer:

1/2

Step-by-step explanation:

the dilation factor should be 1/2

if u count the dots on the sides of the preimage there are 2 dots that's the length if u count the dots on the real image it's 4therefore 2/4 to it's lowest term is 1/2 so 1/2 is the scale factor

Answer:

should be 1/2 as your answer

what is answer guys
[tex]2x(x + 1) + 1(x + 1)[/tex]

Answers

Step-by-step explanation:

ᵉᵃˢʸ ᵖᵉᵃˢʸ

2x²+2x+x+1

2x²+3x+1

2x^2 + 3x + 1 (by simplification method)

Find the missing segment in the image below

Answers

Answer:

Step-by-step explanation:

Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?

Answers

Side of base=5in

Perimeter:-4a

[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]

Height=10in

[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]

[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]

[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]

Help plz!! Trig question

Answers

Answer:

5 meters tall.

Step-by-step explanation:

We know that angle A (the bird) is 55. The opposite side from this angle is 4.5 meters, since that is the distance she is from the tree. From this, we can set up an equation tan(55)=4.5/x and simplify it to x= 4.5/tan(55). This would be height x, but it is not accounting for the 1.5 meters the apple is off the ground, so you need to add 1.5 to the result. The final answer would be 4.65 but you need to round to the nearest meter so it would be 5.

PLEASE HELP ASAP!!!!!Sunny earns $22.75 per week delivering newspapers. He worked as a delivery boy for 3 weeks. He also earned $32.75 last
month doing chores around the house. He spent $14.25 of his total earnings to download music on his mobile device. Sunny put
of the remaining money in his savings account. Sunny used the following steps to find the total money he put in his savings
5
account:
Step 1: [($22.75 + 3) + $32.75 - $14.25)
5
Step 2: [$44.25)
Step 3: $11.0625
In which step did Sunny first make an error? Use words to explain how Sunny can correct his error.

Answers

Answer:

error in step one

Step-by-step explanation:

Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.

That means $22.75 x 3 not $22.75 + 3

He can correct his mistake by doing this:

Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5

Step 2: [$86.75] *1/5

Step 3: $17.35

Answer:

putting this so the other might be brainliest!

Step-by-step explanation:

also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)

Can anyone help me with this it’s question 2 help please

Answers

Answer: 2x³ + 2x² + 36

Working:

= (2x + 6) × (x² - 2x + 6)

= 2x³ - 4x² + 12x + 6x² - 12x + 36

= 2x³ -4x² + 6x² +12x -12x +36

= 2x³ + 2x² + 36

Answered by Gauthmath must click thanks and mark brainliest

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