By comparing the speeds of all the people, Bob picked apple the fastest.
What is speed?Speed is generally the change in distance per unit time. In this case instead of distance we can use the number of apples.
What is the formula of speed?For this question, speed of picking apples = no of apples / time (in minutes). For Bob, speed = 15/8 = 1.88 apples/minute
For Mary, speed = 16/16 = 1 apples/minute
For Suie, speed = 10/19 = 0.526 apples/minute
This shows that Bob picked apples the fastest.
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HELP PLS I NEED 28 and 29 I DONT NEED THE WORK JUST THE ANSWERS FAST ILL MARK BRAINLIEST
Answer:
28) Y=1x+c
29)-2/3x+c
Step-by-step explanation:
ILL MARK YOU BRAINLISTSHOW YOUR WORK PLEASEEEE
Answer:
Step-by-step explanation:
x+y=50 Because x and y represent the number of coins
25x+10y=980 Because there are x quarters and y dimes
-10x-10y=-500 Multiply the first equation by -10 to cancel out y (using the
addition method: equation 1 + equation 2)
15x=480 Solve for x
x=32
(32)+y=50 Substitute x
-32 -32
y=18 Solve
Answer: The correct answers are dimes = 18 and quarters = 32
Step-by-step explanation:
q = quarters
d = dimes
What we know:
There are 50 coins (quarters + dimes)The total equals $9.80What we need to find out:
How many quarters and dimes equal the $9.80Using a system of equations, we can solve this:
q + d = 50 (the total number of coins = 50)
25q + 10d = 9.80 (the number of each time their value totals $9.80)
Multiply the first equation by 25:
(25)*q + (25)*d = (25)*50
25q + 25d = 1250
Subtract the first equation from this equation to solve for quarters:
25q-25q + 25d-10d = 1250 - 980
15d = 270
15d/15 = 270/15
d = 18 (18 dimes)
Now plug-in the dimes into the original equation to find quarters:
q + d = 50
q + 18 = 50
q = 50 - 18
q = 32 (32 quarters)
Check our math:
(18 * .10) + (32 * .25) = 9.80
1.80 + 8.00 = 9.80
9.80 = 9.80 (correct!)
Please remember to vote this answer as Brainliest!!
How many more minutes can mate car travel per gallon of gas then jenna's car
Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.
To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.
Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.
To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.
Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.
If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.
Let's assume both cars are traveling at an average speed of 60 miles per hour.
For Mate's car:
Travel time = Distance / Speed
= (30 miles / 1 gallon) / 60 miles per hour
= 0.5 hours or 30 minutes.
For Jenna's car:
Travel time = Distance / Speed
= (25 miles / 1 gallon) / 60 miles per hour
= 0.4167 hours or approximately 25 minutes.
Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.
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Ax + 4y = 2, (3, -1) : Find A
Answer:
Step-by-step explanation:
we can subsitiute 3 and -1 for x and y respectively to get 3A - 4 = 2. After this you add 4 to both sides and get 3A = 6. divide by 3 and you get a = 2
A parallelogram what is the order of rotational symmetry for the parallelogram?
A parallelogram possesses rotational symmetry of order 2, but no line symmetry.
What is rotational symmetry?Geometrically speaking, a shape exhibits rotational symmetry when it retains its appearance following a little amount of rotation by a partial turn. The number of different orientations in which an object appears exactly the same for each rotation is known as the degree of rotational symmetry.The least angle at which the figure can be rotated to coincide with itself is known as the angle of rotational symmetry. The number of times a figure coincides with itself while rotating through 360 degrees is known as the order of symmetry. Example: The rotational symmetry of a regular hexagon.The rotational symmetry of a parallelogram:
A parallelogram lacks line symmetry and has rotational symmetry of order 2.Therefore, a parallelogram possesses rotational symmetry of order 2, but no line symmetry.
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Answer:
in picture ....
Step-by-step explanation:
Mary is looking to lease a car. Gerald's Auto has a car available with a money factor of 0.00355. Hillspring's Auto has the exact same car available with a money factor of 0.00324. Which of the following statements is true? a. The lower money factor with Gerald's Auto will give Jennifer the lowest monthly payment. b. The lower money factor with Hillspring's Auto will give Jennifer the lowest monthly payment. c. The higher money factor with Gerald's Auto will give Jennifer the lowest monthly payment. d. The higher money factor with Hillspring's Auto will give Jennifer the lowest monthly payment.
The statement that is true in this situation is "the lower money factor with Hillspring's Auto will give Jennifer the lowest monthly payment" (option B).
What is the money factor?This is a term used when you lease a car or a similar product. This term is a synonym for the "lease fee", which means it is a percentage of money that you need to pay for the lease.
What money factor is the most convenient?Based on the previous ideas a lower money factor is better because this means the payment will be lowered and this is offered by Hillspring's Auto (option B).
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If the angle of a sector measures 45° what fraction of the circle is the sector
The fraction of the circle measured by a sector which subtends an angle; 45° is; 1/8 (one-eighth).
It has been established from circle geometry that the angle subtended at a point is 360°.
On this note, the algebraic sum of angles in a circle is; 360°.In essence, a sector which measures 45° is only 1/8 of the circle.
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Someone plz help me :(
Answer:
A, C, and D
Step-by-step explanation:
the opposite of 8 is -8 and negatives are to the left of 0
and a negaitive times a negative equals a positive
-(-9) = 9
and a negative times a positive = a negative
-(10)=-10
For a given event, what is the result of dividing the number of successful
outcomes by the number of possible outcomes?
A. Outcomes
ОО
B. Probability
h
c. Sample space
D. Empirical data
Answer: B. Probability
For example, let's say you want to know the probability of flipping tails.
There's 1 way to get tails out of 2 sides total. So 1/2 = 0.5 is the probability of flipping tails.
We define "success" as "getting tails".
8- (-7) = help ASAP
Answer: 15
Step-by-step explanation: have a great day!
Arik invested $500 in a savings account that earns 6.25% interest compounded monthly. Assuming there are no other deposits or withdrawals, what is the total amount in his account after 4 years?
The total amount that would be found in the account after 4 years, would be $ 641. 69
How to find the total amount ?The total amount after 4 years in Arik's account can be found by the formula :
= A = Amount invested x ( 1 + r /n )ⁿ
The variables are:
Amount invested = $ 500
r = 6.25% = 0. 0625
n = 12
t = 4 years
The total amount is then :
A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾
A = $ 641. 69
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Valley schools have a student population of 1,608 students .if there are an equal number of students in the 6th grade levels, how many students are in each grade .
Answer:
268
Step-by-step explanation:
1608/6= 268
hope this helps!
At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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In each of the following compound interest equations with f representing the account term, determine the number of times the account is compounded per year and the interest rate percent. a. 314,961.92=280,000(1.04)^{t}314,961.92=280,000(1.04) t
, b. 4,050=1,800(1.0125)^{4 r}4,050=1,800(1.0125) 4r
, c. 2,142=350(1.006)^{2 t}2,142=350(1.006) 2t
, d. 10,008=1,200(1.0036)^{12 r}10,008=1,200(1.0036) 12r
, e. 578.88=500(1.007)^{3 t}578.88=500(1.007) 3t
.
The account is compounded 4 times and the rate of interest is 5% per annum.
a) The given equation is : 314,961.92=280,000(1.04)^{t}
The coefficient of t is 1 so the account is compounded 1 times.
here rate = 0.04 , rate percent = 0.04 × 100 = 4%
b) The given equation is : 4,050=1,800(1.0125)^{4 r}
The coefficient of t is 4 so the account is compounded 4 times.
here rate = 0.0125 , rate percent = 0.0125 × 4 × 100= 5%
c) The given equation is : 2,142=350(1.006)^{2 t}
The coefficient of t is 2 so the account is compounded 2 times.
here rate = 0.006 , rate percent = 0.006 × 4 × 100= 2.4%
d) The given equation is : 10,008=1,200(1.0036)^{12 r}
The coefficient of r is 12 so the account is compounded 12 times.
here rate = 0.006 , rate percent = 0.0036 × 12 × 100 = 4.32%
We know that for compound interest compounded multiple times within a year we take the formula of compound interest to find the amount accumulated in the account.
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Nancy wants to win the "Jarful of Jelly Beans" guessing game at the Roseville Spring Carnival. She needs to guess the correct number of jelly beans to win the entire jar. Nancy thinks there are more than 300 jelly beans in the jar. Let j represent the number of jelly beans that Nancy might guess are in the jar. Which inequality models the story? Graph the inequality that models the story. To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
The inequality that models the question we have here is j > 300
How to find the inequalityThe inequality that models the story is j > 300. This inequality represents the fact that Nancy needs to guess a number greater than 300 in order to win the game.
To graph this inequality, we would start by plotting the point (300,0) on the coordinate plane. Then, we would draw a line extending to the right of that point and add an arrow on the end to indicate that the solution includes all numbers greater than 300.
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Show that the process X(t):=e t/2
cos(W(t)),0≤t≤T, is a martingale w.r.t. any filtration for Brownian motion and represent it as an Itô process on any time interval [0,T],T>0.
A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).
Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.
As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt
Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.
For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:
E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.
Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:
dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt
where M is a martingale with M(0) = 0.
Thus, X(t) can be represented as an Itô process on [0,T] of the form:
X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds
Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.
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Graph the Linear Equation 2x - 3y = 6
Answer:
Step-by-step explanation:
2x = 6 + 3y
2x - 6 = 3y
Find the y-intercept when x = 0:
0 - 6 = 3y
-6 = 3y
-2 = y
Find the x-intercept when y = 0:
2x - 6 = 0
2x = 6
x = 3
please help me for 20 poins!!
Answer: C, 2 2/8
Step-by-step explanation: To turn a mixed number into an improper fraction, multiply the whole number by the denominator. Then, add the numerator. So in this example it would be:
4 3/8 = 35/8
2 1/8 = 17/8
Now, since the denominators are equivalent, all we need to do is subtract the numerators.
35/8 - 17/8 = 18/8
The answer needs to be changed back to a mixed number. For this problem, there is an easy way to do this.
18/8 = 8/8 + 8/8 +2/8, which as a mixed number would be 2 2/8.
So the correct choice would be (C).
In a basket of oranges , 20% of them are defective and 76 are in good condition.find the total number of oranges in the basket.
The total number of oranges in the basket is 95.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Of a basket of oranges,
20% of them are defective and 76 are in good condition.
Let x be the total number of oranges.
That means 80% = 76 oranges are in good condition.
20% in decimal form is 0.2.
Applying the percentage formula,
(1 - 0.2)x = 76
0.8x = 76
x = 95
And 20% of 95 = 19
Therefore, the total = 95.
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What is the volume and surface area of this cone?
Answer:
Volume = 261.8 cm³
Surface area = 254.2 cm²
Step-by-step explanation:
To calculate the volume of the cone, we have to use the following formula:
\(\boxed{V = \frac{1}{3} \pi r^2 h}\),
where:
V ⇒ volume
r ⇒ radius = 5 cm
h ⇒ height = 10 cm
Using the above formula and the provided measures, we get:
V = \(\frac{1}{3}\) × π × (5)² × 10
= \(\frac{1}{3}\) × π × 25 × 10
= 261.8 cm³
In order to calculate the surface area of the cone, we have to use the following formula:
\(\boxed{SA = \pi r^2 + \pi r l}\)
where:
SA ⇒ surface area
r ⇒ radius = 5 cm
l ⇒ slant length = \(\sqrt{r^2+h^2}\) = \(\sqrt{5^2+10^2}\) = 5√5 cm
Using the formula,
SA = π × (5)² + π × 5 × 5√5
= π × 25 + π × 25√5
= 254.2 cm²
Solve for v.
29 = -8v - 7 +5v
Answer:
v = -12
Step-by-step explanation:
if you combine like terms it is
29 = = -3v - 7
so then you add 7 to both sides
-3v = 36
then you divide both by -3 and you get v = -12
Answer:
v = -12
Step-by-step explanation:
First, add like terms.
29 = -8v - 7 + 5v
29 = -3v - 7
Solve for v:
36 = -3v
-12 = v
So, v = -12
The revenue from selling x tickets to a concert is the represented by the function r(x)=10x. The cost for buying tickets is represented by the function c(x) = 8x+40. The profit made from selling the tickets is represented by the function p(x) = r(x) - c(x). What is p(100)? *
Step-by-step explanation:
All these fancy terms is confusing. We just need to substitute the original equations into the final problem statement.
\(p(x) = 10x - (8x+40) = 10x - 8x - 40\)
We can then substitute 100 for x and solve.
\(p(100) = 10(100) - 8(100) - 40\)
A school has 764 students. Of the students, 118 are in third grade. Which
equation can be used to find s, the total number of students in all of the other
grades?
764 + 118 = s
s
764 = 118
118 = 764
118 + s = 764
Answer:
D. 118 + s = 764
Step-by-step explanation:
To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.
s = 646
Hope it helped!
In a school election, (3)/(4) of the students vote. There are 1464 votes. Find the number of students. Justify your answer.
The number of students in the school is 1952.
To find the number of students in the school, we can use the concept of proportion.
Let's assume that the total number of students in the school is represented by the variable "x".
Given:
Proportion of students who voted = (3/4)
Total votes = 1464
According to the proportion, (3/4) of the total number of students voted, which can be written as:
(3/4) * x = 1464
To find the value of "x", we can multiply both sides of the equation by (4/3) to isolate "x":
x = (1464) * (4/3)
Simplifying the expression, we have:
x = 1952
Therefore, the number of students in the school is 1952.
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What is the sum of the 2nd square number and the 4th cube number?
In the function f(x) = 4x -2, which of the following is the name of the function?
Answer:
The answer is "Linear function".
Step-by-step explanation:
Linear features would be those that have a linear graph. Its following location identified to a linear function, that is \(\bold{f(x) = a+bx}\).
This function had a variable one of reliant to its variable, which is "x", and it's distinct and the response variable is reliant.
please find the attachment of the graph.
I need help with this.
Answer:
x2 + 8 = 28
The value of x2 is 4.48
Step-by-step explanation:
Hope this is what you were asking for :)
Noah has a coupon for 30% off at his favorite clothing store . He uses it to buy a hoodie . The regular price of a hoodie is $27. What did Noah pay for the hoodie?
Answer:
$18.90
Step-by-step explanation:
The way to do percentages is actually pretty easy.
since it's taking 30% of you are left with 70%. Take 70 and divide it by 100. This gives you .70
Now what you do is you take the price of the time and multiply it by the .70
So 27.00 * .7 = 18.90
So Noah paid 18.90
Please help me now please please help
Answer:
a) the slope is 2/-1 or just -2
b) the slope is 1/1 or just 1
Step-by-step explanation:
You can find slope (rise/run) by picking a point on the graph. For example on question a I chose the point (-2, 1) i then counted how far my run was, which is 2, and my rise (or how far down it went) was -1. Therefore my slope was 2/-1 or just -2.
which of the following is not important when developing a multiple-year operating forecast?
When developing a multiple-year operating forecast, all of the following factors are typically important:
1. Historical Data: Analyzing past performance and trends is crucial for understanding the company's financial position and making informed projections.
2. Market Analysis: Evaluating the current market conditions, industry trends, and competitive landscape helps identify opportunities and potential risks that can impact the forecast.
3. Strategic Goals and Objectives: Aligning the forecast with the organization's long-term goals and objectives ensures that it supports the company's overall strategic direction.
4. Economic Factors: Considering macroeconomic indicators such as GDP growth, inflation rates, interest rates, and exchange rates helps anticipate how the broader economy might affect the business.
5. Internal Factors: Assessing internal factors like sales pipelines, production capacity, staffing levels, and operational efficiencies allows for a more accurate forecast based on the company's specific capabilities.
6. Assumptions and Scenarios: Developing a range of scenarios based on different assumptions helps account for uncertainties and provides a comprehensive view of potential outcomes.
7. Financial Analysis: Conducting financial analysis, including ratio analysis, cash flow projections, and profitability assessments, helps validate the feasibility and sustainability of the forecast.
Given that all the factors mentioned above are important for developing a multiple-year operating forecast, none of them can be considered unimportant in this context.
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