A supplier offers a discount on a product bought in bulk. If you buy 240 parts, you get a $5 discount on each part, which reduces the cost to the same as buying 200 parts at full price. How much is each part?

Answers

Answer 1
Let $x =  the full price for a part.

200 parts at full price costs $x * 200 = 200x dollars

240 parts will have $5 discount per part. The cost is
240(x - 5) = 240x - 1200 dollars

The two costs are the same, therefore
240x - 1200 = 200x
40x = 1200
x = $30

Answer: $30

Related Questions

During the first quarter of the year, 351,875 people downloaded an app for their smartphones. During the second quarter of the year, 101,949 fewer people downloaded the app than during the first quarter. How many downloads occurred during the two quarters of the year?
a. Round each number to the nearest hundred thousand to estimate how many downloads occurred during the first two quarters ofthe year.

Answers

The number of people who downloaded the app in the first quarter is 351,875 people.
Those who downloaded in the second quarter are 101,949 fewer people  than those in first quarter.
This means that:
number of people who downloaded in 2nd quarter = number of people who downloaded in 1st quarter - 101,949
number of people in 2nd quarter = 351,875 - 101,949 = 249,926 people

Therefore, the total number of people who downloaded the app can be calculated as follows:
Total number = 351,875 + 249,926 = 601,801 people

Rounding this number to the nearest hundred thousands, we can get the estimated number of people who downloaded the app as 600,000 people

The table below shows the average yearly balance in a savings account where interest is compounded annually. no money is deposited or withdrawn after the initial amount is deposited. which type of function best models the given data?
a. linear function with a negative rate of change
b. linear function with a positive rate of change
c. exponential decay function
d. exponential growth function

Answers

Final answer:

The given data represents the average yearly balance in a savings account where interest is compounded annually. The function that best models the data is an exponential growth function.

Explanation:

The given data represents the average yearly balance in a savings account where interest is compounded annually. Since the balance is increasing over time, the function that best models the data is an exponential growth function. Option d, exponential growth function, is the correct answer.

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What is the measure of each interior angle of a regular 10 sided polygon?

Answers

use the formula to get the sum of all interior angles               
180*(10-2)=180*8=1440 degree

now get the degree of one angle             1440/10=144 degree

the answer is 144 degrees.

It takes to sell A three hours to produce two cells.If you start with cell A,how many cells will you have in 24 hours

Answers

In 24 hours, you will have 48 cells if you start with cell A and keep making cells at the same rate.

If it takes three hours to produce two cells, we can calculate the production rate as follows:

Production rate of A = 2 cells / 3 hours

Now, we want to find out how many cells will be produced in 24 hours:

Number of cells produced in 24 hours = Production rate of A × Number of hours

Number of cells produced in 24 hours = (2 cells / 3 hours) × 24 hours

Number of cells produced in 24 hours = 2 cells/hour × 24 hours

Number of cells produced in 24 hours = 48 cells

Therefore, if you start with cell A and continue producing at the same rate, you will have 48 cells in 24 hours.

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Write the equation of the line perpendicular to the given line and passing through the given point: y=3x−2 through (3,4)

Answers

Answer:

all work is shown and pictured

Answer:

y= -1/3x+5

Step-by-step explanation:

An investment grows by 20% over a 20 year period. What is its effective annual percent growth rate?

Answers

Final answer:

The effective annual percent growth rate is 3.97%.

Explanation:

The effective annual percent growth rate can be calculated using the formula:



Effective Annual Growth Rate = (1 + Growth Rate)^(1/n) - 1



Given that the investment grows by 20% over a 20-year period, the growth rate would be 0.20.



Substituting the values into the formula:



Effective Annual Growth Rate = (1 + 0.20)^(1/20) - 1



Simplifying further:



Effective Annual Growth Rate = (1.20)^(0.05) - 1



Effective Annual Growth Rate = 0.0397 or 3.97%

Final answer:

The effective annual percent growth rate for an investment that grows by 20% over a 20-year period is approximately 0.949%.

Explanation:

To calculate the effective annual percent growth rate, we need to use the formula for compound interest:

A = P(1 + r)^n

where:

A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of years the money is invested for.

We can rearrange this formula to solve for r:

r = (A/P)^(1/n) - 1

Given that the investment grows by 20% over 20 years, this means A = 1.20P, as it has increased by 20%. With P as the original amount and n as 20 years, the calculation is:

r = (1.20)^(1/20) - 1

Now we compute the value:

r = (1.20)^(0.05) - 1

r ≈ 0.00949

Converting this into a percentage:

r ≈ 0.949%

Therefore, the effective annual percent growth rate is approximately 0.949%.

An isometry preserves distance.
True
False

Answers

True
I could be wrong.
I believe the answer is true

Find two positive numbers whose product is 36 and whose sum is a minimum.

Answers

Final answer:

To find two positive numbers whose product is 36 and whose sum is a minimum, set up an equation using the arithmetic mean and geometric mean inequality. Solve for the two numbers.

Explanation:

To find two positive numbers whose product is 36 and whose sum is a minimum, we can use the concept of the arithmetic mean and geometric mean inequality. Let the two numbers be x and y. Since the product of the numbers is 36, we have xy = 36. Using the arithmetic mean and geometric mean inequality, we know that the minimum value of the sum of two positive numbers is attained when the two numbers are equal. Therefore, x = y. Substituting this into the equation xy = 36, we have x^2 = 36. Taking the square root of both sides, we get x = √36 = 6. So, the two positive numbers are x = 6 and y = 6.

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Final answer:

The two positive numbers whose product is 36 and whose sum is a minimum are 6 and 6.

Explanation:

To find two positive numbers whose product is 36 and whose sum is a minimum, we can use the concept of the Arithmetic Mean-Geometric Mean Inequality.

Let x and y be the two numbers.

According to the inequality, the minimum sum occurs when the numbers are equal.

So, we have x = y = √36 = 6.

Therefore, the two positive numbers whose product is 36 and whose sum is a minimum are 6 and 6.

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Which ordered pairs in the form (x, y)(x, y) are solutions to the equation

7x−5y=287x−5y=28 ?

Select each correct answer.

(4, 10)(4, 10)
(−1, −7)(−1, −7)
(7, 9)(7, 9)
(−6, −14)

Answers


(−6, −14)(−1, −7)
are the answers

hey! are you in 8th grade K12? if so you should join my study group on skype! if you are interested just say the word and ill send you a invite! and if you cant get skype then we can use "discord", which you can use on a web browser!
and if you know anyone who can join please direct me to them if you can :3

The sum of the squares of two consecutive odd integers is 1570. find the integers

Answers

Let's look at a few examples of two consecutive odd integers.
1, 3
11, 13
55, 57
Notice that the larger integer is always 2 more than the smaller one.

If you let the smaller one be x, then the larger one is x + 2.

Now we square the two numbers.
The square of x is x^2.
The square of x + 2 is (x + 2)^2.

Now we add those two squares and set equal to 1570.

x^2 + (x + 2)^2 = 1570

x^2 + x^2 + 4x + 4 = 1570

2x^2 + 4x + 4 = 1570

2x^2 + 4x - 1566 = 0

x^2 + 2x - 783 = 0

783 is 290 * 27

(x - 27)(x + 29) = 0

x - 27 = 0 or x + 29 = 0

x = 27 or x = -29

Remember that x is the smaller of the two integers.

If x = 27, then x + 2 is 29.
If x = -29, then x + 2 is -27.

The answer is:
There are two pairs of integers
One pair is 27 and 29.
The other pair is -29 and -27.

Final answer:

Two consecutive odd integers whose squares sum to 1570 are found by setting up a quadratic equation. Solving this equation gives us 27 and 29 as the required integers.

Explanation:

The question requires us to find two consecutive odd integers whose squares add up to 1570. Let's consider the smaller integer to be n, which means the next consecutive odd integer would be n + 2 (since there is always a difference of 2 between consecutive odd numbers). Our equation based on the given information will be:

[tex]n^2 + (n + 2)^2[/tex] = 1570

To solve for n, we will expand the equation and simplify:

[tex]n^2 + n^2 + 4n + 4[/tex] = 1570[tex]2n^2 + 4n + 4[/tex] = 1570[tex]2n^2 + 4n - 1566[/tex] = 0Divide the entire equation by 2: n2 + 2n - 783 = 0

Solving the quadratic equation, we find that n = 27 and n = -29.

As we are looking for positive integers, we take n = 27. Therefore, the two consecutive odd integers are 27 and 29.

Find the value of x and y
x+4y=21, 4x-16=y

Answers

x + 4y = 21.....................................(1)
4x - y = 16     Multiply this by 4:-
16x - 4y = 64 ...................................(2)

Add (1) and (2):-
17x =  85
x = 5

Plug this into equation (1):-
5 + 4y = 21
4y = 16 
y = 4

Answer is x = 5, y = 4.
[tex]Simplifying x + 4y = 21 Solving x + 4y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 21 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 21 + -4y x = 21 + -4y Simplifying x = 21 + -4y[/tex]

[tex]Simplifying 4x + -16 = y Reorder the terms: -16 + 4x = y Solving -16 + 4x = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 16 + y Combine like terms: -16 + 16 = 0 0 + 4x = 16 + y 4x = 16 + y Divide each side by '4'. x = 4 + 0.25y Simplifying x = 4 + 0.25y[/tex]

What does the triangle exterior angle theorem make sense based on the triangle sum theorem??

Answers

The sum of angles of all triangles is 180

If only one number in a fraction is negative,does that mean the whole fraction is negative

Answers

Yes it does mean the whole fraction is negative

Find all real and imaginary zeros for a polynomial function

Answers

For the answer to this, we turn to the all-important Fundamental Theorem of Algebrawhich states that every degree-n polynomial has exactly imaginary roots. It's important to keep in mind that this theorem doesn't tell you how to find these roots - it just tells you that they exist.
Final answer:

A polynomial function is an algebraic expression with one or more terms. The real zeros can be found by setting the function equal to zero and solving for x. The imaginary zeros can be found using the complex conjugate theorem.

Explanation:

A polynomial function is an algebraic expression that consists of one or more terms. The real zeros of a polynomial function are the values of x that make the function equal to zero. To find the real zeros, set the polynomial function equal to zero and solve for x using methods such as factoring, synthetic division, or the quadratic formula.

The imaginary zeros of a polynomial function are the values of x that make the function equal to a complex number. These can be found by using the complex conjugate theorem. If a + bi is a zero, then a - bi is also a zero, where a and b are real numbers and i is the imaginary unit, sqrt(-1).

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Imagine a 10 kg block moving with a velocity of 20 m/s to the left. Calculate the kinetic energy of this block

Answers

k.e = ½mv²
= ½×10×20×20
= 5×20×20
= 2000j or 2Kj

Which of the following is a solution to the inequality y > –2x + 6? a.(4, 4) b.(0, 0) c.(1, 1) d.(2, 2)

Answers

A. 4 is greater than -2(4) + 6 = -8 + 6 = -2 which is correct

B. 0 is greater than -2(0) + 6 = 6

That statement is untrue.

C. 1 is greater than -2(1) + 6 = 4

That statement is untrue.

D. 2 is greater than -2(2) + 6 = 2

That statement is untrue.

The answer is A since after you plug in 4 for x and y, the statement 4 > -2 is true. 4 IS greater than -2.

The correct answer is a.(4, 4) because when you substitute x = 4 and y = 4 into the inequality y > -2x + 6, the inequality holds true, indicating that (4, 4) is a solution.

To determine which of the given points is a solution to the inequality y >
-2x + 6, we substitute the x and y values of each point into the inequality and check if the inequality holds true.

For point (4, 4), substitute x = 4 and y = 4 into the inequality: 4 >
(-2)(4) + 6, which simplifies to 4 > -8 + 6 or 4 > -2, so point (4, 4) is a solution to the inequality.For point (0, 0), substitute x = 0 and y = 0 into the inequality: 0 > (-2)(0) + 6, which simplifies to 0 > 6, which is not true, so (0, 0) is not a solution.For point (1, 1), substitute x = 1 and y = 1 into the inequality: 1 > (-2)(1) + 6, which simplifies to 1 > -2 + 6 or 1 > 4, which is not true, so (1, 1) is not a solution.For point (2, 2), substitute x = 2 and y = 2 into the inequality: 2 > (-2)(2) + 6, which simplifies to 2 > -4 + 6 or 2 > 2, which is not true, so (2, 2) is not a solution.

Therefore, the correct answer is a.(4, 4), since it is the only point that satisfies the inequality y > -2x + 6.

Solution for 5y-4=9y+8 equation

Answers

5y-4=9y+8

5y=9y+8-4

5y-9y=8-4

-4y=4

y = -1

When u.s. students took the timss, 53 percent of them: a. overestimated their math skills. b. were realistic about their math skills?

Answers

The answer is B. were realistic with their math skills because Trends in International Mathematics and Science Study (TIMSS) provides genuine and updated statistics on mathematics and science performance of U.S. students and also they assess advance mathematics and physics performance of last year of secondary schools over the countries.

Can someone check this for me? Thanks.

(b) Suppose it is also known that AD ≅ CD. Which postulate or theorem can be used to prove that ΔABD ≅ ΔCBD?


I'm guessing it's the SAS congruence postulate but I'm not very good at this so I'm not sure.

Answers

yes it's SAS
AD = CD (given)
BD = BD (common side )
but since it didn't say AC丄BD
it's no way to prove the angels r 90° :/

but as it already given AD= CD
so it's proven that it's an isosceles triangle
therefore
∠BAD = ∠BCD (base ∠s isos. ∆)

therefore it's SAS (side angel side)


What is the value of f(−1) when f(x)=2x+2 ?


Enter your answer in the box.
f(−1)=

Answers

f(-1)=2(-1)+2
f(-1)=-2+2
f(-1)=0

Find the value of x and the value of y.

Answers

ans is  
x= 7 and  y= 4√2

How many times can 5/8 go into 12?

Answers

Okay. All you have to do is 12/ 5/8 Or the Keep, Change, Flip rule. 12/1 * 8/5 = 96/5 or 19 1/5 when simplified. If you’re looking for the answer rounded to the whole number, the answer of 19. Or, if you’re looking for the answer just plain, the answer is 19 1/5.

How many solutions does the equation have?

2x + 3 = 4x + 2

A. no solutions

B. 1 solution

C. many solutions

Answers

2x + 3 = 4x + 2
3 - 2 = 4x - 2x
1 = 2x 
x = 1/2

Its B  1 solution
the answer is B. 1 solution

which set of ordered pairs in the form of x y does NOT represent a function of x?
A. {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)}
B. {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}
C. {(1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)}
D. {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)}

Answers

Answer: Choice B

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

A function is only possible if every x value leads to exactly one y value. Put another way, any input must have exactly one output. With choice B, we have (1,3.3) and (1,4.5). This tells us that the input x = 1 has two outputs y = 3.3 and y = 4.5 at the same time. This is why we do NOT have a function here. 

If we graphed the set of points for choice B, the graph would fail the vertical line test. 

A function is a relationship that maps elements from one set (the inputs) into elements of another set (the outputs). Such that each input can be mapped into only one output.

The correct option is B: {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}

Using the general definition, to find which set of ordered pairs does not represent a function, we need to see in which set we have the same input (the first element of the ordered pair) assigned to two different outputs (the second element of the ordered pair).

Here the one that does not represent a function is option B:

{(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}

Because we have the input x = 1 assigned to two different outputs, y = 3.3 and y = 4.5

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Choose all the numbers that are perfect squares.

64
24
12
49
144
84
4

Answers

The answer is 64 which goes into evenly 8 times 8, 49 7 times 7, 4, 2 times 2, 144 12 times 12
4, 49, 64, and 144 are all perfect squares. Because if you think back to it 2^2 is 4, 3^2 is 9, 4^2 is 16, 5^2 is 25. 6^2 is 36, 7^2 is 49, 8^2 is 64, 9^2 is 81, 10^2 is 100. 11^2 is 121. 12^2 is 144 and so on. 12, 24, and 84 do not show up in those numbers, so they are not perfect squares.

HELP!
Solve −2(2x + 5) − 3 = −3(x − 1). (1 point)


−10

−16

16

−13

Solve 4(x + 1) = 4x + 4. (1 point)


1

All real numbers

0

No solution

Answers

the first questions answer is -

-16

the second one is

all real numbers!!

i hope i helped :))

Answer:

all numbers are real

Step-by-step explanation:

What is the slope of the line whose equation is 12=4x−6y ? Enter your answer in the box.

Answers

12=4x-6y
2-(4/6)x=y

Slope is -4/6 or -2/3

Answer:

Slope of the line  12=4x−6y is [tex]\frac{2}{3}[/tex] .

Step-by-step explanation:

The slope line form is denoted by

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The equation of the line is given by .

12=4x−6y

It is also written as

6y = 4x - 12

[tex]y = \frac{4x}{6} -\frac{12}{6}[/tex]

Simplify the above

[tex]y = \frac{2x}{3} -2[/tex]

(Compare with y = mx + c )

Thus

[tex]m = \frac{2}{3}[/tex]

Therefore the slope of the line  12=4x−6y is [tex]\frac{2}{3}[/tex] .

write "all horses drink water" as a conditional statement

Answers

All horses drink water because they are living creatures.

Which answer is the solution set to the given inequality |x+7| < 17

Answers

X Can't get greater than 10 but it can be -10 so x has to be lesser then 10.
x must be lesser than 10 or else this wont make sense(please leave me a thank you)

help me solve this???

3p - 1 = 5(p - 1) - 2(7 - 2p)

Answers

Hey there!

[tex]3p - 1 = 5(p-1)-2(7-2p) Use the distributive property 3p - 1= (5)(p)+(5)(-1)+(-2)(7)+(-2)(-2p) 3p - 1 = 5p - 5 - 14 + 4p 3p - 1= 9p - 19 3p - 9p =-19 + 1 -6p = 18 Divide both sides by -6 -6p/-6 = -18/-6 p = 3 Best of luck with your studies! [/tex]
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