Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. What is the computer’s original price? Write and solve an equation.

Answers

Answer 1

Let the price of the computer = X

Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X

Store B is selling it for 180 less the original price, so you have X - 180

Now set both equations to equal and solve for x:

0.75x = X-180

Subtract 1X from each side:

-0.25x = -180

Divide both sides by -0.25:

x = -180 / -0.25

X = 720

The original price is $720

check:

720 x 0.25 = 180

Answer 2

The original price of the computer is $720, calculated by setting the 25% sale price equal to the flat $180 discount and solving the resulting equation.

Brittany wishes to determine the original price of a computer based on the sale prices from two different stores. Store A offers a 25% discount while Store B offers a flat $180 discount. To find the original price when the sale prices are equal, we set up an equation.

Let the original price be represented by x. The sale price at Store A is therefore x - 0.25x or 0.75x. At Store B, the sale price is x - $180.

To find the original price when the sale prices are equal, we set the equations equal to one another:
0.75x = x - $180

We solve the equation by subtracting x from both sides:
0.75x - x = -$180
-0.25x = -$180

Then we divide both sides by -0.25 to solve for x:
x = -$180 / -0.25
x = $720

Therefore, the original price of the computer is $720.


Related Questions

Which number has the lowest value ?
a) 1/2 +0.30 b) 0.10 + 3/4 c) 1/3 + 0.50 d) 1/3 +0.40

Answers

Hey!

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

Let's Solve A:

1/2 = 0.5

0.5 + 0.30 = 0.80

a = 0.80

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

Let's Solve B:

3/4 = 0.75

0.10 + 0.75 = 0.85

b = 0.85

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

Let's Solve C:

1/3 ≈ 0.33

0.33 + 0.50 = 0.83

c = 0.83

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

Let's Solve D:

1/3 ≈ 0.33

0.33 + 0.40 = 0.73

d = 0.73

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

Answer:

By solving each equation we can see that option A has the lowest value!

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

Hope This Helped! Good Luck!

Among these options, option (d) with a value of 0.73 has the lowest value.

How did we determine the lowest value?

To determine which number has the lowest value among the given options, let's calculate the values of each option:

a) 1/2 + 0.30 = 0.5 + 0.30 = 0.80

b) 0.10 + 3/4 = 0.10 + 0.75 = 0.85

c) 1/3 + 0.50 = 0.33 + 0.50 = 0.83

d) 1/3 + 0.40 = 0.33 + 0.40 = 0.73

Among these options, option (d) with a value of 0.73 has the lowest value.

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John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.
John's share of the current cell phone bill is $147.50.

Which equation determines how many megabytes of data John downloaded?

Answers

Answer:

(147.50 - 22.5)/.25

Step-by-step explanation:

First subtract his portion of the $90. Which is $22.5, when subtracted from 147.5 you get $125. Now divide $125 by .25 cents and you get the amount of megabytes he downloaded.

Answer: 22.5+0.25x=147.50

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Flat rate: $90, (share equally among the four brothers means 90/4 =$$22.5 each) Cost per megabyte: $0.25 John's share: $147.50

So, the equation is

22.5+0.25x=147.50

Where "x" is the number of megabytes of data that john downloaded

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

The price of a house increased from $400,000 to $500,000 in one year. What is the percent increase?

Answers

Answer:

80%

Step-by-step explanation:

Final answer:

The percent increase in the price of the house is 25%. This is calculated using the formula for percent increase: (Final value - Initial value) / Initial value * 100.

Explanation:

The question is asking for the percent increase in the price of a house. The formula for calculating percent increase is: (Final value - Initial value) / Initial value * 100. In this case, the initial value is the original house price of $400,000 and the final value is the new house price of $500,000.

So, the calculation will be: ($500,000 - $400,000) / $400,000 * 100 = 25%.

Therefore, the price of the house increased by 25% over the year.

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f(x) = 8x – 2
g(x) = 9x + 2
What is h(x) = f(x) – g(x)?

Options:
h(x) = 17x + 14
h(x) = x + 4
h(x) = –x – 4
h(x) = –x + 14

Answers

Answer:

-x-4

Step-by-step explanation:

8x-2-(9x+2)

8x-2-9x-2

-x-4

Function h(x) = f(x) – g(x) = -x - 4

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given functions

f(x) = 8x – 2

g(x) = 9x + 2

h(x) = f(x) – g(x)

h(x) = (8x – 2) - (9x + 2)

h(x) = 8x - 2 -9x - 2

h(x) = (8x - 9x) + (-2 - 2)

h(x) = -x - 4

Hence, h(x) = -x - 4

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kendra has 120 stickers . 10 stickers fill a page. how many pages can she fill?​

Answers

Answer:

12 pages

Step-by-step explanation:

According to the question Kendra have 120 stickers

10 stickers fill a page

So, number of pages that can be filled be 120 stickers = [tex] \frac{120}{10} = 12[/tex]

Therefore, she can fill 12 pages by 120 stickers.

The total number of pages Kendra can fill with a total number of 120 stickers is 12 pages.

Kendra has 120 stickers, and 10 stickers fill a page.

To calculate how many pages she can fill, divide the total number of stickers by the stickers per page:

120 stickers ÷ 10 stickers/page = 12 pages.

Find three consecutive integers whose sum is 441

Answers

Answer:

146, 147 and 148

Step-by-step explanation:

Let the three integers be x, x+1, and x+2.

(they are consecutive)

Now, we are given that their sum is 441.

So,

(x) + (x+1) + (x+2) = 441

3x + 3 = 441

3x = 438

x = 438/3

x = 146

Thus, the integers are:

x = 146

x+1 = 147

x+2 = 148

Please mark Brainliest if this helps!

can you guys help me out?

Answers

Answer:

5 inches

Step-by-step explanation:

V = (b² h) ÷ 3

Given that V = 25 and h = 3:

25 = (b² × 3) ÷ 3

25 = b²

b = 5

Therefore, the length of the base's sides is 5 inches.

Solve v= 1/3 bh for h

Answers

Answer:

Step-by-step explanation:

v= 1/3 bh

multiply by : 3

3v = bh

dividid by b : h = 3v/b

Final answer:

To solve for h in the equation v = (1/3)bh, you need to isolate h on one side. Multiply both sides by 3 to eliminate the fraction, then divide both sides by b to solve for h.

Explanation:

To solve the equation v = (1/3)bh for h, we need to isolate h on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the fraction: 3v = bh.

Next, to solve for h, we divide both sides of the equation by b. This gives us the final answer: h = 3v / b.

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What is the median of this list of numbers? 5, 10, 13, 7,5

Answers

Median: The middle number when all the numbers are listed in order.

To find the median of the data set shown here, we can first start by putting all the numbers in order from least to greatest.

Least to greatest - 5, 5, 7, 10, 13

Next, we locate the number that is exactly in the middle and if there is no number exactly in the middle, we find the two numbers and find halfway point between them.

The number that is exactly in the middle of the data set is 7 so our median is 7.

lim (x^3-8)/(x)
x-2 ​

Answers

Here you go!!! Hope this helps

A baker has 5 1/4 pies in her shop. She cut the pies in prices that are each 1/8 of a whole pie. How many slices of pie does she have

Answers

5_1/4 = 21/4.

21/4 - 1/8

LCD = 8

(42 - 1)/8

41/8 remains.

what is the value of s(6)

Answers

Answer:

6s

Step-by-step explanation:

sx6 = 6s

1.6w - 1.2w + 3.5 + 4.7w

Answers

Answer:

8.6

Step-by-step explanation:

basically just do the order of operations

How do I identify the rate of change on a linear function?

Answers

Answer:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.

The average rate of change is constant for a linear function.
Another way to state this is that the average rate of change remains the same for the entire domain of a linear function.
If the linear function is
y
=
7
x
+
12
then the average rate of change is 7 over any interval selected.
Slope intercept form
y
=
m
x
+
b
, where
m
is the slope.

what is 1/3 to the 2ed power

Answers

Answer:

1/9

1/3 x 1/3 = 1/9 (because 3x3 = 9)

Hey!

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

Solution:

Take the numerator and denominator and solve it to the 2nd power.

1² = 1

3² = 9

Put it back as a fraction.

1/9

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

Answer:

1/9

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

Hope This Helped! Good Luck!

In Exercises 13 - 18 , find the value of x so that the function has the given value. (See Example 3.)

Answers

Answer:

-9

The problem:

If h(x)=-7x and h(x)=63, the what is the value of x?

Step-by-step explanation:

h(x)=-7x

You are asked to find x such that h(x)=63.

So you are solving:

h(x)=63 for x:

-7x=63

Divide both sides by -7:

x=63/-7

Simplify:

x=-9

Let's check:

h(x)=-7x

h(-9)=-7(-9)

h(-9)=63

So -9 is the answer.

Final answer:

The value of x in the equation y = 9 + 3x for a given y value can be found by rearranging the equation to x = (y - 9) / 3, and substituting the desired y value.

Explanation:

The subject of this question is determining the value of x in the equation y = 9 + 3x. In this equation, the b term is 9 and the m term is 3, representing the y-intercept and the slope respectively. To find the value of 'x' that gives a specific 'y' value, one must rearrange the equation to solve for 'x': x = (y - 9) / 3. For example, if we wanted the y value to be 15, we would substitute into the equation and find that x = (15 - 9) / 3 = 2

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Solve for x: 5 - (x + 5) > -2(x + 4)

Answers

There you go!!! Hope I helped :)

Prove the inequality.

c+ 1/c ≥2 for c>0

Answers

Final answer:

The inequality c + 1/c ≥ 2 for c > 0 is proven by using the AM-GM inequality method. By applying this method, we find that the arithmetic mean of the variables is indeed greater or equal to 2, hence confirming the inequality.

Explanation:

To solve the inequality c + 1/c ≥ 2 for c > 0, we can use the AM-GM (Arithmetic Mean - Geometric Mean) inequality method.

According to AM-GM inequality, for any positive numbers a, b, the arithmetic mean is always greater or equal to the geometric mean. In notation: (a + b)/2 ≥ sqrt(a * b). Applying this to our problem where a = c and b = 1/c, we get (c + 1/c) / 2 ≥ sqrt(c * 1/c). This simplifies to c + 1/c ≥ 2*1 = 2, therefore our inequality is confirmed.

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The inequality c + 1/c ≥ 2 for c > 0 is proven using the AM-GM inequality by setting a = c and b = 1/c, showing that their arithmetic mean is always greater or equal to their geometric mean.

To prove the inequality c + 1/c ≥ 2 for c > 0, we can apply the AM-GM inequality which stands for Arithmetic Mean - Geometric Mean inequality. The AM-GM inequality states that for any non-negative real numbers a and b, the arithmetic mean is always greater than or equal to the geometric mean. That is, (a + b)/2 ≥ √(ab).

In our case, we can let a = c and b = 1/c. Then, according to the AM-GM inequality, we get:

(c + 1/c)/2 ≥ √(c * 1/c)(c + 1/c)/2 ≥ √(1)(c + 1/c)/2 ≥ 1

When we multiply both sides of the inequality by 2, we get:

c + 1/c ≥ 2

This completes the proof for the inequality c + 1/c ≥ 2 when c > 0.

what is the answer to Simplify: √3/√15

Answers

Answer:

[tex]\frac{1}{\sqrt5}[/tex]

Step-by-step explanation:

[tex]\large{\frac{\sqrt{3}}{\sqrt{15}}=\frac{\sqrt{3}}{\sqrt{3.5}}=\frac{\sqrt{3}}{\sqrt{3}.\sqrt{5}}=\frac{1}{\sqrt{5}}}[/tex]

What is the value of 128^3/7

Answers

Answer:

8

Step-by-step explanation:

What is the gcf of 42 and 10

Answers

Answer:

2

Step-by-step explanation:

Make a list

10: 1, 2, 5, 10

42: 1, 2, 3, 6, 7, 14, 21

Given: Can you use ASA postulate or the AAS Theorem to prove the triangles congruent?

Answers

I think that both apply, I may be wrong

Answer:

by ASA only

explanation:

They are reflective towards each other making them congruent

Catherine is 4 centimeters taller than ally, while Katrina is 5 centimeters shorter than ally. Let t represent ally's height in centimeters.

Answers

Answer:

4 is right yur

Step-by-step explanation:

AN ice cream factory makes 230 quarts of ie cream in 2 hours. how many quarts could be made in 12 hours?what was the rate per day

Answers

it makes 2760 per 12 hours

Drag a statement or reason to each box to complete this proof.

this proof -2(x+1)=8, then x= -5

Answers

Step-by-step explanation:

distribute the -2 to (x+1) you end up with -2x-2=8 (multiplication property). Add 2 to both sides to get rid of the -2 of the left (addition property). 8+2=10. -2x=10 divide the -2 to both sides. x=-5 (division property).

Answer:

We have to prove that,

-2(x+1)=8, then x= -5

L.H.S.

[tex]-2(x+1)=8[/tex]

By distributive property,

[tex]-2x-2=8[/tex]

Adding 2 both sides ( Additive property of equality )

[tex]-2x-2+2=8+2[/tex]

[tex]-2x=10[/tex]

Divide both sides by -2 ( Division property of equality ),

[tex]\frac{-2x}{-2}=\frac{10}{-2}[/tex]

[tex]x=-5[/tex]

= R. H. S

Hence, proved....

Teresa’s age is 5 years more than twice Ben’s age. If Ben is x years old, the expression _____ gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is _____ years.

Answers

Using a system of equations, it is found that:

If Ben is x years old, the expression 3x + 5 gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is 26 years.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Variable x: Ben's age.Variable y: Teresa's age.

Teresa’s age is 5 years more than twice Ben’s age, hence:

y = 2x + 5

The sum of their ages is:

x + y = x + 2x + 5 = 3x + 5.

Ben is 7 years old, hence the sum is given by:

3(7) + 5 = 26.

Then:

If Ben is x years old, the expression 3x + 5 gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is 26 years.

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Final answer:

The sum of Ben's and Teresa's ages is represented by the expression 3x + 5, and when Ben is 7 years old, their total age is 26 years.

Explanation:

The expression to represent the sum of Ben's age and Teresa's age, given that Ben is x years old and Teresa's age is 5 years more than twice Ben's age, is 2x + 5 + x. This can also be simplified to 3x + 5.

When Ben is 7 years old, we plug in the value 7 for x in the simplified expression to calculate the sum of their ages: 3(7) + 5, which equals 21 + 5.

Therefore, the sum of Ben's and Teresa's ages when Ben is 7 years old is 26 years.

Please select the word from the list that best fits the definition
Understands how formulas are used
Interpersonal
Musical
Body-Kinesthetic
Spatial
Linguistic
Intrapersonal
Logical-Mathematical

Answers

Answer:

Logical-Mathematical

Step-by-step explanation:

According to the theory of multiple intelligences, human intelligence has 8 different modalities (musical-rhythmic, visual-spatial, verbal-linguistic, logical-mathematical, bodily-kinesthetic, interpersonal, intrapersonal, naturalistic). In order to understand how formulas are used, logical-mathematical intelligence is used.

Final answer:

The term that corresponds to understanding how formulas are used is Logical-Mathematical. This refers to an individual's proficiency in carrying out mathematical operations and understanding complex mathematical problems, including the use of formulas.

Explanation:

The word from the list that best fits the definition 'Understands how formulas are used' is Logical-Mathematical. This term is one of Howard Gardner's Multiple Intelligences and it refers to the ability to calculate, quantify, consider propositions and hypotheses, and carry out complete mathematical operations. In an educational setting, people who are strong in logical-mathematical intelligence can understand complex problems, detect patterns, and excel in mathematics, with skills such as understanding formulas playing a key role.

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PLZ HELP ME I NEED THIS ASAP

Answers

Mean = 110

Sample size = 45

Standard deviation = 6

Z score for 90% is 1.645 ( from Z-table).

Lower Limit = Mean - Z(SD/√Sample size))

Lower limit = 110 - 1.645(6/√45)

Lower limit = 108.5

Upper Limit = Mean + Z(SD/√Sample size))

Lower limit = 110 +1.645(6/√45)

Lower limit = 111.5

The interval is (108.5, 111.5)

Can someone help me with this question it is so confusing

Answers

we know it takes 20lbs of Olive to make 3 liters of oil, we also know that the orchard for a whole year gets 3000 lbs, how much oil is there in those 3000 lbs for the year?

[tex]\bf \begin{array}{ccll} \stackrel{olive}{lbs}&\stackrel{olive~oil}{liters}\\ \cline{1-2} 20&3\\ 3000&x \end{array}\implies \cfrac{20}{3000}=\cfrac{3}{x}\implies \cfrac{1}{150}=\cfrac{3}{x}\implies x= 450[/tex]

Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3). What are the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin?


A. I’(3, 6)
B. I’(6, 3)
C. I’(6, 2)
D. I’(8, 4)

Answers

Answer:

B. I’(6, 3)

Step-by-step explanation:

Multiply I(4, 2) by 1½:

2 × 1½ = 3

4 × 1½ = 6

So, your new coordinate is I'(6, 3).

I am joyous to assist you anytime.

Answer: B. I’(6, 3)

Step-by-step explanation:

The coordinates (x,y) of a shape after dilation by a factor of k centered at the origin is given by :-

[tex](x,y)\rightarrow(kx,ky)[/tex]

Given : Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3).

The coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin will be :_

[tex]I(4,2)\rightarrow I' (1.5\times4, 1.5\times2)=I'(6,3)[/tex]

Hence, the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin =I’(6, 3)

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