The answer would be
A = $8,650
P = $5,000
t = 5 years
Find out the compound interest?To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the amount of money after t years
P = the principal (initial deposit)
r = the annual interest rate
n = the number of times the interest is compounded per year
t = the number of years
We know that Allen opened a retirement savings account with an initial deposit of $5,000 and made annual contributions. After 5 years, the account grew to $8,650. We don't know the annual interest rate or how the interest is compounded, so we can use the formula to find out.
Let's assume that Allen made no additional contributions to the account after the initial deposit. Then:
A = $8,650
P = $5,000
t = 5 years
We can rearrange the formula to solve for r:
Learn more about Interest
https://brainly.com/question/29480777
#SPJ11
Express the volume of the part of the ball p < 5 that lies between the cones т/4 and
т/3.
The volume of the part of the ball p < 5 that lies between the cones φ = π/4 and φ = π/3 is 0.
To express the volume of the part of the ball p < 5 that lies between the cones φ = π/4 and φ = π/3, we first need to determine the limits of integration in spherical coordinates.
Since the ball has radius 5, we know that the limits on ρ are 0 and 5.
For the limits on φ, we know that the region of interest lies between the cones φ = π/4 and φ = π/3, which correspond to angles of 45 degrees and 60 degrees, respectively.
Therefore, the limits on φ are π/4 and π/3.
For the limits on θ, we know that the region of interest extends all the way around the ball, so the limits on θ are 0 and 2π.
Using these limits, we can express the volume of the region of interest as:
V = ∫∫∫E ρ sin φ dρ dθ dφ
where,
E is the region of interest defined by the limits on ρ, θ, and φ that we just determined.
Substituting the limits and the volume element in spherical coordinates,
Integrating with respect to θ, we have:
V = 0
Therefore, the volume of the part of the ball p < 5 that lies between the cones φ = π/4 and φ = π/3 is 0.
This result suggests that there may be an error in the problem statement or that the region of interest is not well-defined.
For similar questions on volume :
https://brainly.com/question/15923756
#SPJ11
The regular price of a sofa, in dollars, is represented by p. the sale price of the sofa is 30% off the regular price. select all true statements. a. the sale price of the sofa can be represented by p-0.3p.
The sale price of the sofa can be represented by the equation p - 0.3p. This equation correctly represents the sale price after a 30% discount has been applied to the regular price.
The question is about the regular price of a sofa represented by p, and its sale price which is 30% off the regular price. You'd like to know if the statement "the sale price of the sofa can be represented by p-0.3p" is true.
Step 1: Understand the problem
The regular price of the sofa is represented by p. The sale price is 30% off the regular price.
Step 2: Represent the sale price
To find the sale price, we need to subtract the discount (30% of p) from the regular price (p).
Step 3: Calculate the discount
The discount can be calculated as 30% of p, which is 0.3 * p (or 0.3p).
Step 4: Determine the sale price
Now, subtract the discount from the regular price: p - 0.3p.
Step 5: Confirm the statement
The statement "the sale price of the sofa can be represented by p-0.3p" is indeed true.
To know more about the sale price refer to
https://brainly.com/question/7459025
#SPJ11
x Which statement about prime and composite numbers is true?
x
A The product of any two prime numbers is a prime number.
* B The product of any two prime numbers is a composite number.
* C All prime numbers are odd numbers.
√x
D All even numbers are composite numbers.
Solve this system.
Select one:
a.
No solution
b.
(4,-2)
c.
(5,10)
d.
Infinite solutions
The solution to this system of equations are x =5 and y =10
Calculating the x and y coordinates of the solution to this system of equations.From the question, we have the following parameters that can be used in our computation:
5x - 2y = 5 2x + 2y = 30
Express properly
So, we have
5x - 2y = 5
2x + 2y = 30
Add the equations to eliminate y
7x = 35
Divide both sides by 7
x = 5
Next, we have
2(5) + 2y = 30
So, we have
2y = 20
y = 10
Hence, the value of y is 10
Read more about system of equations at
https://brainly.com/question/13729904
#SPJ1
Help with problem in photo! Find the perimeter!
The perimeter of the shape is 53.7 units
What is perimeter ?Perimeter is a math concept that measures the total length around the outside of a shape.
A theorem of circle geometry states that the tangent from a point on a circle are equal.
Therefore the base sides is calculated as
9.9 + 3.2
= 13.1
since the perimeter is the addition of all the sides then;
P = 13.1 + 21.9 + 18.7
P = 53.7
therefore the perimeter of the triangle is 53.7
learn more about perimeter from
https://brainly.com/question/19819849
#SPJ1
pa help, pleaseeee. sana mahanap to ng matalino, pumuputok utak ko, pahelp naman po please
The figure below is made of 222 rectangles
The volume of the figure, which is made up of 2 rectangular prisms, would be 276 cm ³.
How to find the volume of the rectangular prism ?The figure shown is made up of two rectangular prisms which means that we can find the volume of the entire figure by finding the volumes of the rectangular prisms and then adding up these volumes to find the total volume.
Volume of the first rectangular prism:
= Length x Width x Height
= 10 x 6 x 3
= 180 cm ³
Volume of the second rectangular prism:
= Length x Width x Height
= 4 x 6 x 4
= 96 cm ³
The total volume of the figure:
= 180 + 96
= 276 cm ³
Find out more on rectangular prisms at https://brainly.com/question/24284033
#SPJ1
On the Employee Sales Summary sheet, the function used to add together the last employee's sales for the three months is ___________________.
Group of answer choices
=SUM(E16)
=E16+E16+E16
=SUM('Employee Sales October:Employee Sales December'!E16)
=SUM('Employee Sales January:Employee Sales March'!E5)
The function used to add together the last employee's sales for the three months on the Employee Sales Summary sheet is: =SUM('Employee Sales January:Employee Sales March'!E5)
SUM(E16): This function adds up the values in cells E16 from the current sheet. If the last employee's sales for the three months are stored in cells E16, E17, and E18, then this function would correctly calculate the total.
E16+E16+E16: This expression adds up the value in cell E16 three times. If the last employee's sales for the three months are stored in cells E16, E17, and E18, then this expression would not calculate the total correctly.
SUM('Employee Sales October:Employee Sales December'!E16): This function adds up the values in cell E16 from all sheets between Employee Sales October and Employee Sales December (inclusive). If the last employee's sales for the three months are stored in cells E16, E17, and E18 on different sheets, then this function could be used to calculate the total.
SUM('Employee Sales January:Employee Sales March'!E5): This function adds up the values in cell E5 from all sheets between Employee Sales January and Employee Sales March (inclusive).
Learn more about employee's sales
https://brainly.com/question/11343692
#SPJ4
Full Question: On the Employee Sales Summary sheet, the function used to add together the last employee's sales for the three months is ___________________.
Group of answer choices
=SUM(E16)=E16+E16+E16=SUM('Employee Sales October:Employee Sales December'!E16)=SUM('Employee Sales January:Employee Sales March'!E5)11. On a basketball court, the free throw lane is marked off geometrically. This area of the court is called the
key and is topped by a semicircle that has a diameter of 12 feet. Find the arc length of the semicircle to the
nearest foot. Find the area of the semicircle to the nearest square foot.
The area of the semicircle is approximately 57 square feet.
The arc length of the semicircle can be found using the formula:
arc length = (θ/360) × 2πr
where θ is the angle in degrees, r is the radius, and π is approximately 3.14.
In this case, the diameter of the semicircle is 12 feet, so the radius is half of that, or 6 feet. The angle of the semicircle is 180 degrees, since it is a semicircle. Plugging these values into the formula, we get:
arc length = (180/360) × 2π(6) ≈ 18.85 feet
Therefore, the arc length of the semicircle is approximately 19 feet.
To find the area of the semicircle, we can use the formula:
area = (πr^2)/2
Plugging in the value of the radius from before, we get:
area = (π(6^2))/2 ≈ 56.55 square feet
Therefore, the area of the semicircle is approximately 57 square feet.
Learn more about area of the semicircle,
https://brainly.com/question/15822332
#SPJ11
A movie theater has a seating capacity of 349. The theater charges $5. 00 for children, $7. 00 for students, and $12. 00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 2540, How many children, students, and adults attended?
194 children, 58 students, and 97 adults attended the movie.
Let's use algebra to solve this problem.
Let's assume the number of children who attended the movie is C, the number of students is S, and the number of adults is A.
From the problem, we know that:
The seating capacity of the theater is 349:
C + S + A = 349
The theater charges $5 for children, $7 for students, and $12 for adults:
5C + 7S + 12A = $2540
There are half as many adults as there are children:
A = 1/2C
Now we can substitute A = 1/2C from the third equation into the first and second equations:
C + S + 1/2C = 349
3/2C + S = 349
5C + 7S + 12(1/2C) = $2540
5C + 7S + 6C = $2540
11C + 7S = $2540
Now we have two equations with two variables, C and S.
We can solve for S in the first equation:
3/2C + S = 349
S = 349 - 3/2C
Now we can substitute S = 349 - 3/2C into the second equation:
11C + 7S = $2540
11C + 7(349 - 3/2C) = $2540
11C + 2443 - 10.5C = $2540
0.5C = 97
C = 194
Therefore, 194 children attended the movie of total sales.
We can use A = 1/2C from the third equation to find the number of adults:
A = 1/2C
A = 1/2(194)
A = 97
Therefore, 97 adults attended the movie.
We can use C + S + A = 349 to find the number of students:
C + S + A = 349
194 + S + 97 = 349
S = 58
Therefore, 58 students attended the movie.
In summary, 194 children, 58 students, and 97 adults attended the movie.
To learn more about sales, click here:
https://brainly.com/question/29857652
#SPJ11
An ancient ruler is 9 inches long. The only marks that remain are at 1 inch and 2 inches, 9 inches and one mark. It is possible to draw line segments of the whole number lengths from 1 to 9 inches without moving the ruler. What inch number is on the other mark
If the only marks that remain are at 1 inch and 2 inches, 9 inches and one mark, the missing mark corresponds to the number 6.
This is a classic problem in recreational mathematics, also known as the "burnt ruler problem". To solve it, we need to think creatively and use rational expressions and equations.
First, we note that the distance between the two marks is 9-2=7 inches. We can imagine the ruler as a number line from 0 to 9, where the two marks correspond to the numbers 1 and 2. We want to find the other mark, which corresponds to some number x between 2 and 9.
Next, we observe that we can use the ruler to construct line segments of length 1, 2, 3, 4, 5, 6, 7, 8, and 9 by adding or subtracting these lengths using the two marks as reference points. For example, we can construct a line segment of length 3 by starting at the mark at 2, moving 1 inch to the right, and then moving 2 more inches to the right.
Now, we notice that any line segment of length n can be expressed as a difference of two line segments of smaller lengths. For example, a line segment of length 7 can be expressed as the difference between a line segment of length 2 and a line segment of length 5. More generally, we can write:
n = a - b
where a and b are integers between 1 and n-1.
Using this observation, we can try to find a way to express the length of the missing segment x as a difference of two integers between 1 and 7. We can start by listing all possible values of a and b:
a=2, b=1: 2-1=1
a=3, b=1: 3-1=2
a=4, b=1: 4-1=3
a=5, b=1: 5-1=4
a=6, b=1: 6-1=5
a=7, b=1: 7-1=6
a=3, b=2: 3-2=1
a=4, b=2: 4-2=2
a=5, b=2: 5-2=3
a=6, b=2: 6-2=4
a=4, b=3: 4-3=1
a=5, b=3: 5-3=2
a=6, b=3: 6-3=3
a=5, b=4: 5-4=1
a=6, b=4: 6-4=2
a=6, b=5: 6-5=1
We notice that the only values of a and b that work are 6 and 1, respectively, since 6-1=5, which is the length of the line segment between the two marks that was not given.
To learn more about ruler click on,
https://brainly.com/question/12592910
#SPJ4
Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the explicit formula and recursive definition. 45, 15, 5, 5/3
The type of sequence is a geometric sequence with a common ratio of 1/3
Checking the type of sequenceTo determine whether the given sequence is a geometric sequence, we need to check if there is a common ratio between any two consecutive terms.
The common ratio, denoted by "r", is calculated by dividing any term of the sequence by its preceding term.
Let's check if there is a common ratio between any two consecutive terms of the given sequence:
15/45 = 1/3
5/15 = 1/3
5/3 / 5 = 1/3
Since the ratio between any two consecutive terms is the same (1/3), the sequence is a geometric sequence.
To find the explicit formula for a geometric sequence, we use the formula:
an = a1 * r^(n-1)
So, we have
an = 45* (1/3)^(n-1)
For the recursice sequence, we have
an = a(n - 1) * 1/3
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
Algebra 1. please help!!
Answer: f(t) = 2.4t - 500
Step-by-step explanation:
So first of all, we need how much she actually profits from each taco. She charges $3.25 per taco, but we cannot forget that it is not free to make a taco in the first place. It costs her $0.85 to make a taco. This means we have to subtract the 85 cents from the 3 dollars 25 cents, which means it ends up being $2.40, or as the answer choices have it, 2.4.
So now we know what the number of tacos is being multiplied by: 2.4.
2.4t is now the profit per taco multiplied by the number of tacos.
But we're not quite done yet.
She has a fixed expense of $500 a month, which means this has to be subtracted from her taco profits to find her true profit.
Putting all of this together, we get f(t)=2.4t - 500.
(t)= (profit per taco)(amount of tacos sold) - (fixed expenses)
write an expanded form of the expression
y(0.5+8)
Answer:
8.5y
Step-by-step explanation:
you add what's in the parentheses, 0.5+8, it's 8.5
You then do 8.5*y, and you get
8.5y
A resale store is having a sale on DVDs and CDs. DVDs cost $7 and CDs cost $4. On one day, the store made $211 from DVD and CD sales and sold a total of 40 items. Write a system of equations, then solve to find how many DVDs and CDs were sold
Answer:
17 DVDs and 23 CDs
Step-by-step explanation:
x is the number of DVDs
y is the number of CDs
7x + 4y = $211
x + y = 40 ----(x4)----> 4x + 4y = 160
3x = 51
x = 17
x + y = 40
17 + y = 40
y = 23
In conclusion, 17 DVDs and 23 CDs were sold.
Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights, recorded in inches (brother’s height minus sister’s height), was calculated for each pair. The 95% confidence interval for the mean difference in heights for all brother-and-sister pairs in this population was (–0. 76, 4. 34). What was the sample mean difference from these 24 pairs of siblings?
–0. 76 inches
0 inches
1. 79 inches
4. 34 inches
The sample mean difference from these 24 pairs of siblings is 1.79 inches.
To find the sample mean difference from these 24 pairs of siblings, you can use the given 95% confidence interval for the mean difference in heights, which is (-0.76, 4.34).
The sample mean difference is the midpoint of the confidence interval. To calculate this, add the lower bound (-0.76) and the upper bound (4.34) of the confidence interval, and then divide by 2:
(-0.76 + 4.34) / 2 = 3.58 / 2 = 1.79 inches
So, the sample mean difference from these 24 pairs of siblings is 1.79 inches.
Learn more about "mean ":
https://brainly.com/question/1136789
#SPJ11
HELP DUE TOMORROW!!!
The equation of the attached graph is
y = 1 cos (1x) + 0 How to write the equation of the graphThe equation is written by the general formula
y = A cos (Bx + C) + D
where:
A = amplitude.
B = 2π/T
where T = period
C = phase shift.
D = vertical shift.
A = amplitude
A = (maximum - minimum) / 2
Using the graph,
maximum = 1
minimum = -1
A = [1 - (-1)] / 2 = 2/2 = 1
B = 2π/T
where T = 2π
B = 2π/(2π) = 1
C = phase shift = 0
D = vertical shift
D = 1 - 1 = 0
substituting results to
y = 1 cos (1x + 0) + 0
this is written as
y = 1 cos (1x) + 0
y = cos (x)
Learn more about trigonometry graph at:
https://brainly.com/question/24329125
#SPJ1
In her math class, carla used unit cubes to build a right rectangular prism with a volume of 24 cubic units. The height of the prism was two units. Which figure could be bottom layer of the prism
Carla's right rectangular prism could have either a 3x4 or a 2x6 rectangle as the bottom layer, with a height of 2 units, to achieve the given volume of 24 cubic units.
Carla built a right rectangular prism using unit cubes, with a volume of 24 cubic units and a height of 2 units. To determine the possible figure for the bottom layer of the prism, we need to understand the relationship between the volume, height, and the base area.
The volume of a rectangular prism can be calculated using the formula: Volume = Base Area × Height. In Carla's case, the volume is 24 cubic units, and the height is 2 units. By rearranging the formula, we can find the base area: Base Area = Volume ÷ Height. Substituting the given values, Base Area = 24 ÷ 2, which equals 12 square units.
Now, we need to find a possible figure for the bottom layer with an area of 12 square units. Since the bottom layer is made of unit cubes, it must have whole-number dimensions. There are two possible rectangular figures that meet this requirement: 1) a 3x4 rectangle, and 2) a 2x6 rectangle. Both of these figures have an area of 12 square units (3x4 = 12 and 2x6 = 12) and can be formed using unit cubes.
To know more about right rectangular prism, refer to the link below:
https://brainly.com/question/3248292#
#SPJ11
Pleas help im stuck on this question and im too afraid to get it wrong
Step-by-step explanation:
g(x) is just f(x) shifted UP three units ...so
g(x) = f(x) +3
Solve the separable differential equation for u. du dt e2u+9t Use the initial condition u(0) = 4. = U =
The solution to the differential equation with the given initial condition is:
[tex]u = -1/2 * ln(-2/9 * e^{(9t)} + 4/9 * e^{(-8)} + 2/9)[/tex]
How to solve the separable differential equation?To solve equation, we can separate the variables and write:
[tex]1/e^{(2u)} du = e^{(9t)} dt[/tex]
Integrating both sides, we get:
[tex]\int 1/e^{(2u)} du = \int e^{(9t)} dt[/tex]
Integrating the left side requires the substitution v = 2u, dv/du = 2, and du = dv/2, which gives:
[tex]\int 1/e^{(2u)} du = \int 1/2 * 1/e^v dv = -1/2 * e^{(-2u)}[/tex]
Integrating the right side gives:
[tex]\int e^{(9t)} dt = 1/9 * e^{(9t)}[/tex]
Substituting these integrals back into the original equation, we get:
[tex]-1/2 * e^{(-2u)} = 1/9 * e^{(9t)} + C[/tex]
where C is the constant of integration.
We can solve for the constant of integration using the initial condition u(0) = 4:
[tex]-1/2 * e^{(-24)} = 1/9 * e^{(90)} + C[/tex]
[tex]-1/2 * e^{(-8)} = 1/9 + C[/tex]
[tex]C = -1/2 * e^{(-8)} - 1/9[/tex]
Therefore, the solution to the differential equation [tex]du/dt = e^{(2u+9t)}[/tex] with initial condition u(0) = 4 is:
[tex]-1/2 * e^{(-2u)} = 1/9 * e^{(9t)} - 1/2 * e^{(-8)} - 1/9[/tex]
Solving for u, we get:
[tex]e^{(-2u)} = -2/9 * e^{(9t)} + 4/9 * e^{(-8)} + 2/9[/tex]
Taking the natural logarithm of both sides, we get:
[tex]-2u = ln(-2/9 * e^{(9t)} + 4/9 * e^{(-8)} + 2/9)[/tex]
Dividing by -2, we get:
[tex]u = -1/2 * ln(-2/9 * e^{(9t)} + 4/9 * e^{(-8)} + 2/9)[/tex]
Therefore, the solution to the differential equation with the given initial condition is:
[tex]u = -1/2 * ln(-2/9 * e^{(9t)} + 4/9 * e^{(-8)} + 2/9)[/tex]
Learn more about differential equation
brainly.com/question/30257736
#SPJ11
what are the coefficients in the expression (2x+15)(9x-3) need it asap
Answer:
2x and 9x are the coefficients.
Step-by-step explanation:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b and c ).
Color the circles, so it would be certain you get an orange one.
Answer:
1 orange
Step-by-step explanation:
you just color 1 circle.
1) You want your savings account to have a total of $23,000 in it within 5 years. If you invest your money in an account that pays 6.8% interest compounded continuously, how much money must you have in your account now? 2) You buy a brand new Audi R8 for $148,700 before taxes. If the car depreciates at a rate of 8%, how much will it be worth in 5 years?
After 5 years with 8% depreciation, the Audi R8's value will be around $81,249.36.
To determine how much money you must have in your account now, you can use the formula A = Pe^(rt), where A is the final amount, P is the principal (the initial amount invested), e is the constant 2.71828, r is the annual interest rate expressed as a decimal, and t is the time in years. We will calculate using this formula.Plugging in the given values, we get:
A = $23,000
r = 0.068 (6.8% expressed as a decimal)
t = 5 years
So, $23,000 = P*e^(0.068*5)
Solving for P, we get:
P = $16,376.59
Therefore, you must have $16,376.59 in your account now to reach your goal of $23,000 in 5 years with 6.8% continuous compounding interest. To determine how much the Audi R8 will be worth in 5 years, you can use the formula A = P(1 - r)^t, where A is the final amount, P is the initial amount, r is the annual depreciation rate expressed as a decimal, and t is the time in years. Plugging in the given values, we get:
P = $148,700
r = 0.08 (8% expressed as a decimal)
t = 5 years
So, A = $148,700*(1 - 0.08)^5
Simplifying, we get:
A = $81,249.36
Therefore, the Audi R8 will be worth approximately $81,249.36 in 5 years with 8% depreciation.
Learn More About Depriciation: https://brainly.com/question/24279065
#SPJ11
Answer Immeditely Please
Answer:
6
Step-by-step explanation:
PLEASE HELP FAST!!!!
On Monday a group of students took a test and the average ( arithmetic mean ) score was exactly 80. 4. A student who was absent on Monday took the same test on Tuesday and scored 90. The average age test score was then exactly 81. How many students took the test on Monday?
A) 14
B) 15
C) 16
D) 17
E) 18
With steps please
The number of students who took the test on Monday is found to be 15, hence the correct option is B.
Let us assume that the number of student taking test on Monday is n. The total score for Monday's test is n times the average score of 80.4,
Monday's total score = 80.4n
When the student who missed the test on Monday took the test on Tuesday and scored 90, the total score became,
Total score = 80.4n + 90
The new average score of 81 can be expressed as,
81 = Total score / (n+1)
Substituting the value of the total score, we get,
81 = (80.4n + 90)/(n+1)
Multiplying both sides by n+1, we get,
81(n+1) = 80.4n + 90
Expanding the brackets,
81n + 81 = 80.4n + 90
Simplifying,
0.6n = 9
n = 15, so, the number of students who took the test on Monday is 15.
To know more about arithmetic mean, visit,
https://brainly.com/question/1136789
#SPJ4
A rectangular prism has a volume of 27 in³ If a rectangular pyramid has a base and height congruent to the prism, what is the volume of the pyramid?
___in³
fill in the blank
ty
Write out the base fine numerals in order from 1 base five to 100 base five
Here are the base five numerals from 1 to 100
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100.
With the base five, every number can only take on the values of 0, 1, 2, 3, or 4.
After the number 4, we carry over to the following place value and start again with 0. So, for instance, the number after 4 in base five is 10, because we've carried over to the next place value and started with 0 again.
In this way, we can count all the way up to 100 in base five, using these 25 unique numerals.
Learn more about numerals with base 5:-
https://brainly.com/question/27195917
#SPJ4
A person completes 68 km in 50 minutes via Jeep. Starting 20 minutes, he travels by x km/hr and
next 25 minutes by 2x km/hr and rest time by 3x km/hr. What is the value of x ?
The value of x is 48 km/hr.
How to solve for X
Total distance = 68 km
Total time = 50 minutes
First part:
Duration = 20 minutes
Speed = x km/hr
Second part:
Duration = 25 minutes
Speed = 2x km/hr
Third part:
Duration = 50 - (20 + 25) = 5 minutes
Speed = 3x km/hr
We can calculate the distance traveled in each part using the formula:
distance = speed × time
For the first part:
distance1 = x × (20/60) = (1/3)x (because 20 minutes = 1/3 hour)
For the second part:
distance2 = 2x × (25/60) = (5/6)x (because 25 minutes = 5/12 hour)
For the third part:
distance3 = 3x × (5/60) = (1/4)x (because 5 minutes = 1/12 hour)
Now, we know that the total distance is 68 km, so:
distance1 + distance2 + distance3 = 68
(1/3)x + (5/6)x + (1/4)x = 68
To solve for x, we'll first find a common denominator for the fractions, which is 12:
(4/12)x + (10/12)x + (3/12)x = 68
Now, add the fractions:
(4+10+3)/12 * x = 68
17/12 * x = 68
To isolate x, we'll multiply both sides by the reciprocal of the fraction (12/17):
x = 68 * (12/17)
x = 4 * 12
x = 48
So, the value of x is 48 km/hr.
Read more on equations here:https://brainly.com/question/2972832
#SPJ1
What was the cost of each item?
The burger cost $
The souvenir cost $
The pass cost $
Answer: I do not have enough information to solve this equation
Step-by-step explanation:
I do not have enough information to solve this equation
Deation 15 of 25
mat is the point-slope equation of a line with alope -3 that contains the point
A.y-4--3(x-8)
By+4=3(x-8)
ay+4=3(x+8)
Dy-4=3(x*8)
Answer:
y = -3x + 20.
Step-by-step explanation:
The correct point-slope equation of a line with slope -3 that contains the point (8,-4) is:
y - (-4) = -3(x - 8)
Expanding the right-hand side:
y + 4 = -3x + 24
Subtracting 4 from both sides:
y = -3x + 20
Therefore, the answer is not given in any of the options provided. The correct equation is y = -3x + 20.