Answer:
A. c = kn
Step-by-step explanation:
The cost c varies directly as the numbers n of pencils
This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:
[tex]c = kn[/tex]
In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.
The frequency table shows the scores from rolling a dice.
Score
Frequency
Answer:
The median is 3.5
Step-by-step explanation:
We want to find the median of the set of values.
First, we need to write the set in ascending order.
We get:
1 five times
2 three times
3 five times
4 two times
5 seven times
6 four times
The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:
{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
In this set we have
5 + 3 + 5+ 2 +7 + 4= 26 values
So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)
We can see in the set above that these values are:
3 and 4.
Then we want to take the mean between 3 and 4.
We get:
M = (3 + 4)/2 = 3.5
The median of this set is 3.5
5
An athlete covers three consecutive miles by walking the first mile, running the second mile
and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as
ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,
How long does he take by walking, running and cycling?
ter your math answer
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
Find the slope y = 6x-1
Answer: the slope should be 6 I’m sure
Step-by-step explanation:
Answer:
y
=
−
6
x
−
1
Step-by-step explanation:
x-1
Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?
Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
Will the sum of 56+ (-56) be Positive negative or zero
Answer:
zero
Step-by-step explanation:
56+(-56),thus
the negative overcomes the positive,
56-56
0
-4-2-2) - 2x + 5 = 31
Answer:
2x+5=31 is the most common correct answer
Does anyone know where I can find revision questions that will help me in my maths Gcse?
Step-by-step explanation: amazon they have everything
I dont know how to do surface area
Answer: the equation for SU is 2(lb+bh+hl)
Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2
I need this please help me
Answer:
y=4/5(x)+10
Step-by-step explanation:
the slope of the line is 4/5 and the y intercept is 10
using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation
PLEASE HURRY I WILL MARK BRAINIEST
The new wing of an art
museum has 3 times
as many windows as
the old wing. Together,
both wings have
32 windows. How many
windows are in
the new wing?
Answer: 24
Step-by-step explanation:
32/4 = 8
3 * 8 = 24
24 + 8 = 32
There are 24 windows in the new wing.
Hope this helped! :)
In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.
Answer: 16
Step-by-step explanation:
sin M/6.3=sin 21/8.2
6.3 sin 21/8.2=0.27533147
sin^-1(0.27533147)=15.981=16
Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?
Answer:
Step-by-step explanation:
3) 15,39,65
_________
5 )5,13,65
--------------
13 )1,13,13
----------------
| 1,1,1
L.C.M.=3×5×13=195
They will chime together after 195 minutes.
A shade of green paint is made by mixing 2 cups of
yellow with 3.5 cups of blue.
Will a mixture that is 3 cups of yellow and 4.5 cups of
blue be more blue, more yellow, or the same shade of
green?
More blue
More yellow
Same shade
Explain your reasoning.
Answer:
7
Step-by-step explanation:
2×3.7=7 is easy and less money
a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated
Answer:
851,968
Step-by-step explanation:
26*8*8*8*8*8= 851,968
From the combination of codes, 851,968 employee ID codes can be generated.
Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Required number of codes = 26 * 8 * 8 * 8 * 8 * 8
= 851,968
Thus, from the combination of codes, 851,968 employee ID codes can be generated.
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The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.
Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
I DONT KNOW WHAT IM DOING, PLEASE HELP
Answer:
you should check out Microsoft Math! It's a free app :)
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this trend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?
Answer:
a) [tex]P(t) = 11500 + 425t[/tex]
b) The slope is of 425 people, which is by how much the population increases each year.
c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d) 17,875 people.
Step-by-step explanation:
A linear function that measures population after t years has the following format:
[tex]P(t) = P(0) + at[/tex]
In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.
a. Write a function for the population, P, in terms of the number of years since 2000.
The first step is finding the slope.
Finding the slope:
The slope is the change in the output divided by the change in the input, during a period of time.
The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.
This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.
So the slope is
[tex]a = \frac{1700}{4} = 425[/tex]
So
[tex]P(t) = P(0) + 425t[/tex]
Finding the initial population:
We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So
[tex]P(t) = P(0) + 425t[/tex]
[tex]13625 = P(0) + 425*5[/tex]
[tex]P(0) = 13625 - 425*5[/tex]
[tex]P(0) = 11500[/tex]
So
[tex]P(t) = 11500 + 425t[/tex]
b. What is the slope of the function and what does it represent in the context of the problem. Include units.
The slope is of 425 people, which is by how much the population increases each year.
c. What is the vertical intercept of the function and what does it represent? Include units
The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d. What do you believe the population was in 2015?
2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).
[tex]P(15) = 11500 + 425*15 = 17875[/tex]
17,875 people.
2.
What type of a quadrilateral is defined by the vertices (-5, 7), (2,6), (5, -3), (-4, 0)?
a Kite
b Rectangle
C Rhombus
d Parallelogram
Solve for x: 1/2x + 3 = 9
Answer:
12
Step-by-step explanation:
Evaluate the expression (14 − 4)2 ÷ 10.
The value of the expression is value of
Answer:
2
Step-by-step explanation:
PEMDAS says to do the equations in parentheses first
(14-4) = 10
PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case
(10)2 = 20
20 ÷ 10 = 2
Target buys video games for $25/game. They markup the price by 75%. How much do
they charge customers for a videogame? Do not enter a dollar symbol with your
answer.
9514 1404 393
Answer:
$43.75
Step-by-step explanation:
The amount of the markup is ...
$25 × 0.75 = $18.75
The final cost to the customer is ...
selling price = purchase price + markup
= $25.00 + 18.75 = $43.75
They charge customers $43.75 for a videogame.
pensé un número y lo dividí entre 3 luego sume 15 y el resultado fue 23
Answer:
x: 3 = 23 -15
x = 8 x 3
x = 24
Step-by-step explanation:
Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х
Answer:
hope it helps it is donr by using pythogorous theorem
The third side of the right triangle is 10.72 unit.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Given, the side of right triangle is;
Let H be hypotenuse = 14
And P be perpendicular = 9
Then to find third side base be B,
we use the Pythagoras theorem;
(H)² = (P)²+(B)²
Rearranging,
(B)² = (H)² - (P)²
(B)² = (14)² - (9)²
(B)² = 196 - 81
(B)² = 115
B = 10.72 unit.
Therefore, the third side is 10.72 unit.
To learn more about the Pythagoras theorem;
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if 7y + 42 <14 then which among the following is true
Answer:
[tex]y<-4[/tex]
Step-by-step explanation:
Given
[tex]7y + 42 <14[/tex]
Required
Determine the true statement
Options are not given; but, the question can still be attempted.
[tex]7y + 42 <14[/tex]
Collect Like Terms
[tex]7y < 14 -42[/tex]
[tex]7y < -28[/tex]
Divide through by 7
[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]
[tex]y<-4[/tex] -- This is true
The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.
Answer:
2 times became that's correct
ILL MARK AS BRAINLEST
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A.
2(x + 3) = 25
B.
2(3) + 25 = x
C.
2x + 3 = 25
D.
x + 2(3) = 25
Answer:
im pretty sure the answer is c
Can someone help me with this I need help
Answer:
d)550
15 * 10 = 150; 150 * 2 = 300
5 * 10 = 50; 50 * 2 = 100
5 * 15 = 75; 75 * 2 = 150
300 + 100 + 150 = 550
You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
Mutations happen at a steady rate.
True
False