Answer:
Cost of each ticket bought by Peter = $8 for each ticket
Step-by-step explanation:
Given:
Number of ticket bought by Peter = 9 tickets
Amount paid by Peter for tickets = $72
Find:
Cost of each ticket bought by Peter
Computation:
Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter
Cost of each ticket bought by Peter = 72 / 9
Cost of each ticket bought by Peter = $8 for each ticket
A solid figure is composed of a cube and a pyramid as shown. What is the volume
Answer:
288 in^3
Step-by-step explanation:
1) find the volume of the cube
V = side^3 = 6^3 = 216 in^3
2) find the base surface of the pyramid:
base surface = side^2 = 6^2 = 36 in^2
3) find the height of the pyramid:
height of the solid - height of the cube = 12 - 6 = 6 in
4) find the volume of the pyramid:
V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3
5) add up the two volumes
V = 216 + 72 = 288 in^3
Find a slope of a line which goes through the points (1, -4) and (7, -4).
Answer:
0
Step-by-step explanation:
-4 - (-4) = 0
divided by
1 - 7 = -6
-0/6 so 0
Look at the image, HELP PLEASE.
Answer:
1/2
Step-by-step explanation:
Well, First let us find the amount of numbers in a die greater than 3.
Remember greater than 3 does not include 3.
We have 3 numbers, 4,5,6 that are greater than 3.
The probabilty of getting a rolling a number greater than 3 is 3/6.
The probability of the coin landing on heads is 1/2.
BUT, the problem is only requiring for you to find the probabilty of rolling a dice greater than 3. (key words)
Which is 3/6 or simplified to 1/2.
Which is a rational function?
Answer:
C is a rational function
Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line.
2.3
3
-5.1
-2.5
5.2
2.5
-5.8
-0.1
Below -0.5
Between -0.5 and 2.9
Above 2.9
Answer:
See below
Step-by-step explanation:
Below -0.5: -5.1, -2.5, -5.8
Between -0.5 and 2.9: 2.3, 2.5, -0.1
Above 2.9: 3, 5.2
Below -0.5: -5.1, -2.5, -5.8
Between -0.5 and 2.9: 2.3, 2.5, -0.1
Above -2.9: 3, 5.2
You need a 70% alcohol solution. On hand, you have a 40 mL of a 35% alcohol mixture. You also have 75% alcohol mixture. How much of the 75% mixture will you need to add to obtain the desired solution?
Answer:
250 ml of the 75% mixture are needed to obtain the desired solution.
Step-by-step explanation:
Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:
100 x 0.75 + 0 x 0.35 = 75
90 x 0.75 + 10 x 0.35 = 71
89 x 0.75 + 11 x 0.35 = 70.6
87.5 x 0.75 + 12.5 x 0.35 = 70
12.5 = 40
87.5 = X
87.5 x 40 / 12.5 = X
3,500 / 12.5 = X
280 = X
Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.
based on the scatter plot, which is the best prediction of the total number of pages in a book with 4 chapters?
a.) 120
b.) 90
c.) 150
d.) 140
Answer 90
Step-by-step explanation:
Answer:A-120
Step-by-step explanation:
Solve this simultaneous equation x+2y=11
x-2y=1
Answer:
Equation 1,
[tex]x + 2y = 11[/tex]
Equation 2,
[tex]x - 2y = 11[/tex]
Take equation number 2.
[tex]x - 2y = 11 \\ x = 11 + 2y[/tex]
Substitute 'x' in Equation number 1.
[tex]x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0[/tex]
y = 0.
So x,
[tex]x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11[/tex]
x = 11.
Answer:
using elimination method multiply both equations by 2...then subtract equation 2 from 1
Help ASAP no links please
Answer:
f(x) = -4x + 21
Step-by-step explanation:
Given:
(4, 5) and (2, 13)
Required:
Linear function of that passes through the given points
Solution:
We need to determine the slope (m) and y-intercept (b) of the function.
✔️Finding the slope using the points given:
Slope (m) = change in y/change in x
= (13 - 5)/(2 - 4)
= 8/-2
m = -4
✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b
5 = -4(4) + b
5 = -16 + b
5 + 16 = b
b = 21
✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b
f(x) = -4x + 21
someone please help.
find the angle between the given vectors to the nearest tenth of a degree
u=<-5,-4>, v=<-4,-3>
a: -9.1
b: 1.8
c: 0.9
d: 11.8
Answer:
The answer is b: 1.8
Step-by-step explanation:
Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)
38.65980825 - 36.86989765 = approx. 1.8 (b)
:)
what is 6+6 pls help :)
Answer:
its 12 sweety hope this helps
Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. Represéntala. ¿Se pueden unir los puntos?
Answer:
1.2X = $
Step-by-step explanation:
Para construir una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros, se debe realizar el siguiente razonamiento lógico matemático:
1.2(variable fija) x X (número de billetes vendidos) = $ (Dinero recaudado)
1.2X = $
Por lo tanto, si por ejemplo se hubiesen vendido 100 billetes, la ecuación operaría de la siguiente manera:
1.2 x 100 = $
120 = $
1. Which of the following is a solution to the equation y = -1/4x + 8
A. (10,-8)
C. (-4, 9)
Answer:
C is the correct answer.
Step-by-step explanation:
Putting the value of x & y as -4 & 9 respectively.
9=(-1/4)(-4) + 8
9=1+8
9=9 [True]
A vehicle moves along a straight road. The vehicle's position is given by f(t) , where tt is measured in seconds since the vehicle starts moving. During the first 10 seconds of the motion, the vehicle's acceleration is proportional to the cube root of the time since the start. Which of the following differential equations describes this relationship, where k is a positive constant?
a. df/dt = kſ
b. df/dt - = kgf
c. d²f/dt = kyt dt2
d. d²f/dt = ky
Answer:
Step-by-step explanation:
a
or D
• 1 1 Write equivalent fractions for 3 and 1. using 12 as the common denominator. 3 -1- 12 12
Answer:
6 and 8
Step-by-step explanation:
6. Simone was timing John, Johnny and
James to see who could hold their breath
the longest. John held his breath for 10
seconds, Johnny held his breath for 15
seconds and James for 25 seconds. For how
much longer than John and Johnny did
James hold his breath?
Answer:
hgyjhudhehd
Step-by-step explanation:
The management of a major diary wanted to determine the average ounces of milk consumed per resident in the state of Texas. Past data indicated that the standard deviation in milk consumption per capita across the U.S. population was 4 ounces. A 95% confidence level is required and the margin of error is not to exceed /- 0.5 ounces. Management wanted to double the level of precision and increase the level of confidence to 99%.
Required:
What sample size would you recommend?
Answer:
The recommended sample size is 1,698
Step-by-step explanation:
The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces
The required confidence level = 95%
The margin of error, e = ± 0.5
When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25
The standard score at 99% confidence level, z = 2.576
The sample size formula is given as follows;
[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]
Where;
P × Q = The variance = σ²
∴ P × Q = 4² = 16
The sample size becomes;
S = 2.576² × 16/(0.25²) = 1,698.758656
We round down to get the recommended sample size, S = 1,698
an equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?
a.) 2/3p
b.) 3/4p
c.) 1/3p
d.) 3p
Answer:
Your answer is C
Step-by-step explanation:
A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
Answer:
15.75-1.50=14.15
14.15-0.75=13.50
What is 729 in a exponent
Pls help quickly
Answer:
27×27=729
729^6..........
Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The discount on new camera bought by Amelia = 30%.
To find the number that Amelia should multiply to pay,
Let The required number be x,
and total price of the camera is 100%
So after discount the price of camera = 100 - 30 = 70%
Implies that,
100 × x = 70
x = 70 / 100
x = 7 / 10
So the required number is 7/10 that Amelia should multiply the price she would have to pay.
To know more about Percentage on:
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1.
What is the solution?
y
3
-3-2-1
2 3x
O (1,2)
O (1,-1)
O 1
02
9514 1404 393
Answer:
(d) Infinitely Many Solutions
Step-by-step explanation:
Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...
Infinitely Many Solutions
Required answer of attached question as soon as possible.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The cycle time of 1.5 minutes tells us that each workstation has 1.5 minutes to complete its assigned tasks. We assign tasks as follows.
Starting from a list of eligible tasks—those with no unworked preceding tasks—the selection criterion says we must choose the one with the longest task time. We continue in this way until the time remaining on the workstation is less than the time required for the longest eligible task. At that point, we open a new workstation and repeat the process.
__
Comments on the solution
The numbers highlighted in red are the idle time for the workstation. Ideally, they are all positive, so as to be able to absorb any delays in executing the tasks. Here, we find that workstation 3 has no idle time, so any delay there will be a delay in required production of pumps.
The flow we have arranged is from Workstation 1 → Workstation 2 → Workstation 3. If flow back and forth between workstations were allowed, then we could assign task H to workstation 2 and tasks D and G to workstation 3 to create an idle time of 0.1 minutes at each workstation. Such an assignment would not strictly adhere to the "longest task first" criterion.
A report by the US government states that 85,5% of citizens have a cell phone. You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.
Answer:
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
Step-by-step explanation:
For each citizen, there are only two possible outcomes. Either they have a cellphone, or they do not. The probability of a citizen having a cellphone is independent of any other citizen. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A report by the US government states that 85,5% of citizens have a cell phone.
This means that [tex]p = 0.855[/tex]
You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.
This is [tex]P(X = 36)[/tex] when [tex]n = 48[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 36) = C_{48,36}.(0.855)^{36}.(1-0.855)^{12} = 0.0214[/tex]
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
Write the power (-8)^2 in repeated multiplication form. Then find the value of the power
Answer:
(-8)x(-8)=64
Step-by-step explanation:
(-8)²
(-8)x(-8)=64
The repeated multiplication of (-8)² is -8 x (-8).
What are Exponent and Power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base.
We know that exponents and power used to express powers.
like if we have 5³ then 5 is multiplied to itself 3 times.
Here we have (-8)² then we can write
(-8)²
= -8 x -8
= 8 x 8
= 64.
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Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4
Answer:
98.1 is your anwser I know this kinds of stuff
Step-by-step explanation:
v=22/7×r^2×h/3
=22/7×21/2×5/3
=33/5
=11cm^3
is this right??? if not helpp
Suppose you buy a $10,000 bond at face value. The bond pays $450 annual interest. What is the yield on this bond? (Calculate to one decimal place)
HELP ASAP
Answer:
Yield on this bond = 4.5%
Step-by-step explanation:
Given:
Face value of bond = $10,000
Annual interest receives from bond = $450
Find:
Yield on this bond
Computation:
Yield on bond = [Annual interest / Face value]100
Yield on this bond = [Annual interest receives from bond / Face value of bond]100
Yield on this bond = [450 / 10,000]100
Yield on this bond = [0.045]100
Yield on this bond = 4.5%
I really need to go to the store. I bought an 80 ounce container of orange juice. Right now, there's only 4 ounces left. What percent of the orange juice is left? If you're ever at my house, help yourself to the stull in my fridge.
Answer:
There is 5% of the juice left.
Step-by-step explanation:
We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.
Then we can write a relation:
80 oz = 100%
Now there are 4 ounces left, in the same way than before, we can write this as:
4 oz = X%
We want to find X%
First, let's write our equtions:
4 oz = X%
80 oz = 100%
We can take the quotient between these two equations to get:
(4oz/80oz) = (X%/100%)
We need to solve this for X%, then we get:
(4oz/80oz)*100% = X% = 5%
This means that 4 oz is 5% of the initial volume of the juice container.
Then we can conclude that there is 5% of the juice left.
Can someone help ?
Marie has a can of tomatoes that is 5.75 inches tall and has a diameter of 3.6
inches. Which of the following is the closest to the volume of the can in cubic
inches?
A 234.11
B65.03
C 35.52
D58.53
Answer:
A 234.11
Step-by-step explanation:
[tex]= 234.11148454551 feet^{3}[/tex] is what you get lol