Answer:
37
Step-by-step explanation:
please answer this A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bicycle that is sold in the shop. This is called a company’s overhead. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even? A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bicycle that is sold in the shop. This is called a company’s overhead. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even?
Answer: The store must sell 40 bikes.
Step-by-step explanation:
y=60x+2400
y=120x
120x=60x+2400
-60x on both sides
60x=2400
divide 60 on both sides
2400/60=40
x=40
On March 20, Soren kierkegaard deposited $1000 into his savings account that pays 5.5% interest compounded daily. How much interest will the money earn by April 20?
Hey there! I'm happy to help!
There are 31 days in March, so there are 11 days left in March. We add this to the 20 days in April, giving us 31 total days this interest is compounded.
We could calculate the amount compounded each day for 31 total days, but that would take a long time. Instead, there is a formula we can use to calculate compound interest instead.
[tex]Total= P(1+i)^n\\\\P=Principal Amount\\i=interest rate\\\\n=number of times compounded[/tex]
So, let's plug in those numbers! Remember to convert the percent to a decimal so it works in the equation!
[tex]Total=1000(1+0.055)^3^1\\Total=1000(5.258068609)\\Total=5258.068609[/tex]
Now, we subtract the initial amount just to see how much interest was earned.
5258.068609-1000=4258.07 (rounded to nearest cent).
Therefore, the money will have earned $4,258.07 by April 20.
Have a wonderful day!
Complete the equation that describes c, the number of cats and g, the number of gold bars put into the machine.
c=?g
Answer:
C= 3g
Step-by-step explanation:
A pole that is 2.5 M tall cast a shadow that is 1.72M lawn dart at the same time a nearby tower cast a shadow that is 50.5 M long how tall is the tower round answer to the nearest meter
Answer:
The tower is 73.4 m tall
Step-by-step explanation:
The height of the pole = 2.5 m
The shadow cast by the pole = 1.72 m
Shadow cast by tower = 50.5 m
To find the height of the tower, we proceed by finding the angle of elevation, θ, of the light source casting the shadows as follows;
[tex]Tan\theta =\dfrac{Opposite \ side \ to\ angle \ of \ elevation}{Adjacent\ side \ to\ angle \ of \ elevation} = \dfrac{Height \ of \ pole }{Length \ of \ shadow} =\dfrac{2.5 }{1.72}[/tex]
[tex]\theta = tan ^{-1} \left (\dfrac{2.5 }{1.72} \right) = 55.47 ^{\circ}[/tex]
The same tanθ gives;
[tex]Tan\theta = \dfrac{Height \ of \ tower}{Length \ of \ tower \ shadow} =\dfrac{Height \ of \ tower }{50.5} = \dfrac{2.5}{1.72}[/tex]
Which gives;
[tex]{Height \ of \ tower } = {50.5} \times \dfrac{2.5}{1.72} = 73.4 \ m[/tex]
An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time?
a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.
------------------
b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.
------------------
c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.
------------------
d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.
By moving point G, how many triangles is it possible to draw, keeping the measure of just one angle constant (in this case, m∠FDE)? In how many instances are all three angle measures of ∆DEF equal to those of the original triangle, ∆ABC?
Step-by-step explanation:
Keeping, one angle FDE, many triangles are possible since length of no segment is fixed and only one angle is fixed.
At many instances, triangle ABC and DEF have same angle measurements. Referring to the image attached here.
As point G moved on the ray EF, many triangles with same angle measurements as of ABC can be formed.
Answer:
Since no segment length is fixed and only one angle is fixed, multiple triangles are possible while maintaining one angle FDE. Triangles ABC and DEF frequently have the same measured angles. referring to the picture that is attached. Numerous triangles with the same angle measurements as ABC can be constructed when point G moves along ray EF.
Step-by-step explanation:
the sum of a two digit number and the number obtained by interchanging the digits is 154.If the tens digit number is 2 more than units digit number find the original number.
Please help me i want answer full process.I will mark the answer as brainliest plz plz plz helpe
Answer:
86
Step-by-step explanation:
We can set the first digit as (10x+y)
We can interchange it to be (10y+x)
X is the second digit and Y is the first.
1) (10x+y) +(10y+x) =154
2) 11x+11y=154
3) 11(x+y) =154
4) x+y=14
5) x+x+2=14
6) 2x=12
7) x=6
8) y=6+2=8 , so y =8
find the coordinates of the point whose ordinate is -7 and lies on y axis
Answer:
(0,-7)
Step-by-step explanation:
If nay point is form (x,y)
x is abscissa can be also called x axis coordinate
y is ordinate can be also called y axis coordinate
ordiantes are points lying on y axis.
For any point lying on y axis, its x-axis coordinate will be 0
given that ordinate is -7. it means that value of y coordinate is -7
Thus, coordinates of the point is (0,-7)
Write the algebric expression of the difference of 'a' and 'b'
Step-by-step explanation:
An algebraic expression haa atleast one variable and operator sign such as (+,-,×,÷)
According to the question, an algebraic expression should be made from difference of 'a' and 'b'
so, the expression is (a - b) or a - b.
Hope it helps!!!!
The circle below is centered at the point (-3,4) and had a radius of 3. What is it equation? ( top answers gets )
Answer:
( x+3) ^2 + ( y-4) ^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x--3) ^2 + ( y-4) ^2 = 3^2
( x+3) ^2 + ( y-4) ^2 = 9
Omar has a new credit card.He earns 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?Easy question for easy points
Answer:
$600
Step-by-step explanation:
1800/300 = 6
6 x 100 = $600
Answer:
$600
Step-by-step explanation:
1800/300 = 6
6 x 100 = $600
8/15 simplify the quotient to get ?
Answer:
0.5333333333 or 0.53 when simplified.
Step-by-step explanation:
8/15 is simply 8÷15
15 into 8 is not possible so you annex a zero and write a decimal point.The 8 now becomes 80. We now say 80÷15,the answer is 5 because 15x5=75.The remainder is five.We annex another zero and it becomes 50,50÷15=3
I hope this helps.
The arm and blade of a windshield wiper have a total length of 30 inches. The blade is 24 inches long and the wiper sweeps out an angle of 125 degrees.
Answer:
942.5 in²
Step-by-step explanation:
The formula for the area (A) of a sector of a circle is
A = ½r²θ
where θ is the angle in radians.
1. Convert the angle to radians
θ = 125°
[tex]\theta = 125^{\circ} \times \dfrac{\pi \text{ rad }}{180^{\circ}} =\frac{25}{36} \pi\text{ rad}[/tex]
2. Area swept out by wiper arm
A = ½r²θ = ½ × (30 in)² × θ = ½ × 900 in²× θ = 450 θ in²
3. Area missed by wiper
A = ½r²θ = ½ × (6 in)² × θ = ½ × 36 in²× θ = 18 θ in ²
4. Area covered by wiper
A = 450 θ in² - 18 θ in² = 432 θ in²
5. Insert the value of θ
A = 432 × 25/36 π in² = 300π in² ≈ 942.5 in²
The area swept out by the wiper blade is 942.5 in².
ASAP!!! PLEASE help me with this question!
Answer:
C. 16π
Step-by-step explanation:
Well we need to find the area of the top circle which has a radius of 4cm.
π(4)^2
16π in terms of pi
Thus,
the answer is C. 16π.
Hope this helps :)
Find the area of a circle with a radius of 8. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answer:
64π units²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
= π × 8²
= 64π units²
Please HELP me with this question! I am really struggling with this...
A) 22°
Step-by-step explanation:∡DBG = (360° - BD - BG)/2
= (360° - 170° - 146°)/2
= 44°/2
= 22°
The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square
Answer:
Step-by-step explanation:
The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.
The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.
Answer:
C
Step-by-step explanation:
A random sample is drawn from a normally distributed population with mean μ = 31 and standard deviation σ = 1.9. Calculate the probabilities that the sample mean is less than 31.6 for both sample sizes
Answer:
For sample size n = 39 ; P(X < 31.6) = 0.9756
For sample size n = 76 ; P(X < 31.6) = 0.9970
Step-by-step explanation:
Given that:
population mean μ = 31
standard deviation σ = 1.9
sample mean [tex]\overline X[/tex] = 31.6
Sample size n Probability
39
76
The probabilities that the sample mean is less than 31.6 for both sample size can be computed as follows:
For sample size n = 39
[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]
[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})[/tex]
[tex]P(X < 31.6) = P(Z< 1.972)[/tex]
From standard normal tables
P(X < 31.6) = 0.9756
For sample size n = 76
[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]
[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})[/tex]
[tex]P(X < 31.6) = P(Z< 2.75)[/tex]
From standard normal tables
P(X < 31.6) = 0.9970
Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers
Answer:
they are 16 and 4
Step-by-step explanation:
We can call the numbers x and y and we can write:
x - y = 12
x + y = 20
Adding these equations gives us 2x = 32 which means x = 16 and substituting this value into the first equation gives us y = 4.
Answer:
The numbers are 16 and 4
Step-by-step explanation:
Let the two numbers be x and y
x-y = 12
x+y = 20
Add the two equations together
x-y = 12
x+y = 20
-------------------
2x = 32
Divide by 2
2x/2 =32/2
x = 16
Now find y
x+y =20
16+y =20
Subtract 16
y = 20-16
y = 4
Point A (−3,4) and point C is at (2,−6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5.
Answer:
(-7/9, -4/9)
Step-by-step explanation:
i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL
Hope do will on what you are doing :)
If you want you can give me brainliest, it helps me a lot
have a good day :)
Answer:
I got (1,-4) on my Khan
Step-by-step explanation:
A plumber wishes to cut a piece of pipe
32 inches long into two parts so that the
larger part is 4 inches less than three
times the smaller part. What are the
lengths of the two parts of the pipe?
Answer:
9 and 23
Step-by-step explanation:
Let x be smaller length in inches.
x+3x-4=32
4x=36
x=9
9*3-4=23
So they're 9 and 23 inches long.
The lengths of the two parts of the pipe are 9 and 23 inches long.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let x be the smaller length in inches.
x + 3x - 4 = 32
4x = 36
x =9
Now substitute;
9*3 - 4 = 23
Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
7
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What
is the value of x?
7
х
9 units
11 units
O 18 units
21 units
This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
The value of x is 11
Start by calculating the area (A) of the trapezoid using
[tex]A= 0.5 * (a + b)h[/tex]
Using the parameters from the complete question, we have:
[tex]63 = 0.5 * (7 + x) * 7[/tex]
Multiply both sides by 2
[tex]126 = (7 + x) * 7[/tex]
Divide both sides by 7
[tex]18 = 7 + x[/tex]
Subtract 7 from both sides
[tex]x = 11[/tex]
Hence, the value of x is 11
Read more about shaded areas at:
https://brainly.com/question/24579466
Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)? 2x – 8(x + 2y) + (y – 7x) 2x – 3 – 5(3y – 6x) 2x – 3x – 6y – 5y + 35x 2x + 3x + 6y + 5y – 35x
Answer:
2x - 3x -6y - 5y +35x
Step-by-step explanation:
-3 multiplied by x is -3x
-3 multiplied by +2y is -6y
-5 multiplied by y is -5y
-5 multiplied by -7x is +35x
2x remains the same.
Answer:
c. 2x – 3x – 6y – 5y + 35x
Step-by-step explanation:
edge 2021
(:
Ruth left her home at 9 am and walked to the library. She got to the library at 10 30 am. Ruth walked at a speed of 4 mph. (a) Work out the distance Ruth walked.
Answer:
she walked 6 miles.
Step-by-step explanation:
We know that Ruth walks at a speed of 4 mph and it took her 1.5 hours to walk from her home to the library (from 9 to 10.30).
We can solve this using a rule of three:
If she walks 4 miles in 1 hour, how many hours did she walk in 1.5 hours?
1 hour 4 miles
1.5 hours x miles
Solving for x we get:
[tex]x=\frac{1.5(4)}{1} =6[/tex] miles
Thus, she walked a distance of 6 miles
The distance between her home and the library is the number of meters between them.
The distance walked is 6 m
The speed is given as:
[tex]\mathbf{Speed = 4mph}[/tex]
The time spent walking is calculated as:
[tex]\mathbf{Time = 10:30am - 9:00am}[/tex]
[tex]\mathbf{Time = 1.5\ hrs}[/tex]
So, the distance is calculated as:
[tex]\mathbf{Distance = Speed \times Time}[/tex]
Substitute known values
[tex]\mathbf{Distance = 4mph \times 1.5hrs}[/tex]
[tex]\mathbf{Distance = 6m}[/tex]
Hence, the distance walked is 6 m
Read more about distance at:
https://brainly.com/question/9150462
write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
What is angle ac? Round to the nearest hundredth. HURRY
Answer:
AC = 20°
Step-by-step explanation:
180° (total angle amount of a triangle) - 70° + 90° (right angle) = ac
AC = 20°
Hope this helps!
Please help I’m being timed!!! System shows there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?
Answer:
4th one
Step-by-step explanation:
Hi May I know how to solve this step by step please
Answer:
2, 3 , 5, 7
Step-by-step explanation:
2(x - 2)/3 < (x + 1)/2 < 3(5x + 6)/4
Considering:
2(x - 2)/3 < (x + 1)/2
<=>(2x - 4)/3 < (x + 1)/2
<=> (2x - 4)*2 < (x + 1)*3
<=> 4x - 8 < 3x + 3
<=> 4x - 3x < 8 + 3
<=> x < 11
Considering:
(x + 1)/2 < 3(5x + 6)/4
<=>(x + 1)/2 < (15x + 18)/4
<=>(x + 1)*4 < (15x + 18)*2
<=> 4x + 4 < 30x + 36
<=> 4x - 30x < 36 - 4
<=> -26x < 32
<=> 26x > -32
<=> x > -32/26
=> -32/26 < x < 11
The prime numbers satisfy the above inequalities: 2, 3 , 5, 7
In 1833 a ship arrived inCalcutta with 120 tons remaining of its cargo of ice. One third of the original cargo was lost because it had melted on the voyage. How many tons of ice was the ship carrying when it set sail? A.40 B.80 C.120 D.150 E.180
Answer: 180
Step-by-step explanation:
Let the tons of ice the ship was carrying when it set sail be y.
We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.
This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:
2/3 × y = 120
2y/3 = 120
2y = 120 × 3
2y = 360
y = 360/2
y = 180
The ship was carrying 180 tons of ice when it set sail
Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0
[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]