Given:
Fixed cost = $100,000
Additional cost = $100 on each bike
Selling price = $300 each bike
To find:
The number of bikes that must be sold in order for the company to break even.
Solution:
Let x be the number of bikes.
Additional cost of 1 bike = $100
Additional cost of x bikes = $100x
So, the cost function is
Total cost = Fixed cost + Additional cost
[tex]C(x)=100000+100x[/tex]
Selling price of 1 bike = $300
Selling price of x bikes = $300x
So, the revenue function is
[tex]R(x)=300x[/tex]
At break even, the profit is zero. It other words, cost and revenue are equal.
[tex]C(x)=R(x)[/tex]
[tex]100000+100x=300x[/tex]
[tex]100000=300x-100x[/tex]
[tex]100000=200x[/tex]
[tex]\dfrac{100000}{200}=x[/tex]
[tex]500=x[/tex]
Therefore, 500 bikes must be sold in order for the company to break even.
Write an inequality that represents the graph.
Answer:
[tex]y - 2x - 1 = 0[/tex]
Step-by-step explanation:
the slope is :
[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]
at a pt on graph , when
[tex]x = 1 \\ y = 3 \\ [/tex]
therefore, coordinates are (1,3)
The equation is :
[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]
Write three equivalent ratios for 8 triangles to 12 circles
Answer:
Step-by-step explanation:
8 triangles : 12 circles
4 triangles : 6 circles
2 triangles : 3 circles
16 triangles : 24 circles
Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?
Given:
Circumference of a circle = C
Diameter of a circle = d
To find:
The relationship between the circumference, c, and diameter, d, of any circle.
Solution:
We know that, circumference of a circle is
[tex]C=2\pi r[/tex]
It can be written as
[tex]C=(2r)\pi [/tex]
[tex]C=d\pi [/tex] [tex][\because d=2r][/tex]
On dividing both sides by d, we get
[tex]\dfrac{C}{d}=\pi [/tex]
Therefore, the correct option is (F).
Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more packs are purchased. Sales tax is 7 % . Tyrese gives the cashier $ 100 to pay for his baseball cards. How much change will he receive in return?
Answer:
Tyrese will receive $39.81 in return.
Step-by-step explanation:
First, you have to multiply the 15 packs for the cost per pack:
15*$5=$75
As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:
$75*25%=$18.75
$75-$18.75=$56.25
Then, you have to calculate 7% of the amount with the discount and add that to the cost:
$56.25*7%=$3.93
$56.25+$3.94=$60.19
Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:
$100-$60.19= $39.81
According to this, the answer is that Tyrese will receive $39.81 in return.
What is the slope of a like perpendicular to a line with a slope of 0
Answer:
0
Step-by-step explanation:
Dont take my word for it but I think it should be 0
A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell to reach their goal. He represented this situation as 3c > 240. Which graph represents the ineqaulity?
Answer:
C
Step-by-step explanation:
Took the test
There are 800 students in a school and 45% of
the students are male. If 30% of the male students
and 25% of the female students play varsity sports,
how many students play varsity sports?
Answer:
218
Step-by-step explanation:
No. of male students = [tex]\frac{45}{100}[/tex] × 800
= 360
No. of male students that play varsity sports = [tex]\frac{30}{100}[/tex] × 360
= 108
------------------------------------------------------------------------------------------------------------
No. of female students = 800 - 360
= 440
No. of femal students who play varsity sports = [tex]\frac{25}{100}[/tex] × 440
= 110
Total no. of students who play varsity sports = 108 + 110
= 218
April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each quart of paint will cover 100 square feet. How many quarts of paint must she purchase to have sufficient paint for this job?
Answer:
she should buy 3 quarts and keep the remainder which can possibly cover 30 square feet.
I WILL GIVE BRAIN LIST
Stephanie is giving a presentation to a new client. It took her 1713
minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?
A
34
minute
B
1 minute
C
113
minutes
D
112
minutes
Answer:
131.7 min so c
Step-by-step explanation:
Answer:
The answer that I got is not listed in the options but the closest to that is C) 113 mins
Step-by-step explanation:
btw I got 131.7
What is the y intercept for -28 and 50
Answer:
The y intercept is the b in y = mx + b
Step-by-step explanation:
Use the rule provided to generate the first five terms of the sequence. The rule
is 4n + 5.
Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
the sum of two numbers is 41. the smaller number is 19 less than the larger number. what are the numbers?
Answer:
30, 11
Step-by-step explanation:
x+x-19=41
2x=41+19=60
x=60/2=30
x-19=11
Answer this please and I would like for you to explain I’ll be giving out ^brainliest^
Answer:btb
Step-by-step explanation:
pls help how to slove this
Answer:
a° = 124°
Step-by-step explanation:
Angle E + 250° = 360 because they make a full angle
a° + 126° + E = 360°
a° = 360 - 126 - 110
a° = 124°
Answer:
a=125°
Step-by-step explanation:
The angle at E=360-250=110°
Draw a horizontal through E, parallel to AB and CD such that it divides angle E into two angles of 55° each. Produce line AB to M such that the 55° at E is alternate with it.
A and 55° are now supplementary angles therefore
a+55°=180°
a=180-55=125°
Pls help it’s due today. I’ll give BRAINLIEST
Answer:
You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units
Step-by-step explanation:
help me i have a c i rlly need it lol
Answer:
#5, #1, #2, #4, #3
They are always positive soo you just order them without the negatives
Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return
Answer:
y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:D
. What is 7/10 as a percent?
Answer:
70%
Step-by-step explanation:
5/10. 50%
6/10. 60%
7/10. 70%8/10. 80%
9/10. 90%
Answer:
70%
Step-by-step explanation:
3 drinks and 2 pretzels costs $16, but 6 drinks and 5 pretzels ests $21.25. What is the press
of one pretzel?
Answer:
The price of one pretzel is $-10.75
Step-by-step explanation:
I'm not really sure why the pretzel would be negative dollars, but I checked my answer multiple times and it's right. For this problem you need a system of equations. The system will be 3d+2p=16 (since 3 drinks and 2 pretzels is 16 dollars) and 6d+5p=21.25 (since 6 drinks and 5 pretzels is 21.25 dollars). To solve this system, the first thing we're going to do is multiply the first system by -2 so that we can cancel the d variable. This will leave you with
-6d-4p=-32. Now, you can add this to the other equation. Since the -6 and 6 cancel, we only have the p variable now (that's why we multiplied by -2, to cancel out the d variable when we added later). Now we have -4p=-32 and 5p=21.25. Add these two equations together and you'll get 1p=-10.75, or p=-10.75. If you needed to solve for the drinks, you could plug -10.75 back into one of the first two equations, but for this problem we don't so -10.75 is your answer.
En una tienda venden pepitas de chocolate y nueces. 2 libras de pepitas de chocolate y libras de nueces cuestan $20 en total. 8 libras de pepitas de chocolate y 3 libras de nueces cuestan $29 en total. Hallar cuánto cuesta cada libra de pepitas de chocolate y cada libra de nueces.
Responder:
$ 2.5 y $ 3
Explicación paso a paso:
Paso uno:
datos dados
Sea xey el costo por libra de chispas de chocolate y nueces, respectivamente
por lo tanto
2x + 5y = 20 ------ 1
y
8x + 3y = 29 ------ 2
resolviendo 1 y 2 simultáneamente tenemos
2x + 5y = 20 (multiplicar la ecuación por 4)
8x + 20y = 80 ------------- 3
restar eqn 2 de 3
8x + 20y = 80 ------------- 3
8x + 3y = 29 ----------------- 2
0 + 17 años = 51
divide ambos lados por 17
y = 51/17
y = 3
El costo de las nueces por libra = $ 3
poner y = 3 en 8x + 3y = 29 ------ 2
8x + 3 (3) = 29 ------ 2
8x + 9 = 29
8x = 29-9
8x = 20
divide ambos lados entre 8
x = 20/8
x = 2,5
El costo del chocolate por libra = $ 2.5
18. The average honeybee can travel 10.5 feet per
second. How many feet can the honeybee travel in
3.7 seconds?
Answer:
38.85 feet
Step-by-step explanation:
If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.
A die is rolled twice.
What is the probability of rolling a 3
followed by a 2?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
Answer:
It's 1/36
Hope this is the correct ans
1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00
Which angle is coterminal with a 635° angle?
A. An angle measuring 85°
B. An angle measuring 275°
C. An angle measuring 255°
D. An angle measuring 335°
Answer:
B.
Step-by-step explanation:
the answer is B bevause you subtract 635 and 360, and then you get 275.
An angle measuring 275° is coterminal with a 635° angle.
What is Coterminal angles?This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
here, we have,
we know that,
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=635°
β = 635° ± 360 * 1
β = 635° ± 360
Then, β can be 635°+360=995° or 635°-360= 275°
For w=2 and α=635°°
β = 635° ± 360 * 2
β = 635° ± 720
Then, β can be 635°+720=1355° or 635°-720= -85°
Therefore, the answer to this question is option B.
Read more about the coterminal angles here:
brainly.com/question/19573972
#SPJ7
This hurts my brain cells help me
is 3.12311 a rational number
All terminating decimals are rational numbers
In this case,
3.12311 = 312311/100000
which shows that 3.12311 can be written as a ratio of two integers, therefore making it a rational number.
Plz help me out !!! I rlly need u guys to help
Answer1: for every 5 kids there are 9 parents
2 part a: the for every 4 cookies for every 9 sodas that are sold
2 part b:the ratio of cookies to soda is 9:4
3.the ratio of pencils to erasers is 15:7
3: for every 15 pencils there are 7 erasers.
4.The first blank is 2eyes there Are4 legs
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
5 to 9
the number of cookies sold to sodas sold id 9:4
the ratio of erasers to pencils is 15:7
Please help!!! Thank you!!!
Answer:
1. 180° ∑triangle angles=180°
2. 2x
3. 52°
Complete the proof....
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠1 and ∠2 are supplementary [tex]{}[/tex] Given
[tex]{}[/tex] ∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° [tex]{}[/tex] Definition of supplementary angles
[tex]{}[/tex] m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3 [tex]{}[/tex] Transitive Property
4. m∠2 = m∠3 [tex]{}[/tex] Subtraction Property of Equality
5. ∠2 ≅ ∠3 [tex]{}[/tex] Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.
Rewrite each algebraic expression with fewer terms
Can anyone help me?
1) 9.5(a+4)-a
2) 8+h-2•5
Answer:
1. 8,5a + 38
2. 5,5+b
Step-by-step explanation:
1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38
2. 8+b-2,5= 5,5+b