Answer:
375
Step-by-step explanation:
Did it on Edge
The total distance of the race is 375 miles.
Given data:
To find the total distance of the race, multiply the distance of the loop by the number of times Carlos raced around it.
Total distance = Distance of the loop * Number of times raced
Distance of the loop = 15 miles
Number of times raced = 25
Substituting the values into the formula:
Total distance = 15 miles * 25
On simplifying the equation:
Calculating the product:
Total distance = 375 miles
Hence, the total distance was 375 miles.
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Over the last 4 years, James has earned $56 interest on a deposit of $280 that he made to his savings account. What is the simple annual interest rate for James' savings account?
Answer:
5.6%
Step-by-step explanation:
If mADC and mBDC have a sum of 180, name the straight angle.
i am pretty sure it is mADC
What’s 111x1? I neeeeeeed to know
The answer is 111 lol
1 multiplied by anything is the given number
so 111 x 1 = 111
mr. kork sold his car for 8,400. this was 200 more than two fifths of what he had paid for the car originally
If your question is, "how much had Mr. Kork paid for the car?"
(8,400-200)/.4=$20,500
Achristensen's answer is correct. Just want to add a little more explanation how to arrive at the result.
let x be the original price.
Rewrite the verbal question as an equation using x:
8400 = 200 + 2/5 * x
solve for x:
8400-200 = 2/5*x
5/2*8200 = x
x = 20500
The original price was $20,500
Solve and explain how you got the answer:
Pete owes his brother $35 from 5 weeks of borrowing money. If Pete continues to borrow money, how much money will he owe after 3 more weeks?
whats twice the square root of 36
12. the square route of 36 is 6 and 6 times 2 is 12.
Twice the square root of 36 is equal to 12.
Here, we have,
given that,
what is twice the square root of 36
now, we have,
Twice the square root of 36 can be calculated as follows:
Twice the square root of 36 = 2 * √36
Since the square root of 36 is 6:
Twice the square root of 36 = 2 * 6 = 12
Therefore, twice the square root of 36 is equal to 12.
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BRAINLIEST ANSWER TO FIRST ANSWERER
What is the value of n?
The 3 outside angles of a triangle need to equal 360.
n = 360 - 133 - 142 = 85
The answer is D.
Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below.
11, 13, 14, 6, 10, 9, 10
The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock?
Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below.
11, 13, 14, 6, 10, 9, 10
The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock?
Answer:
The value of the (RIC) will increase from 4 to 5.75, that is, 44%
Step-by-step explanation:
To answer this question you have to know the definition of Rank well.
The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin
The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.
Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%
Answer:
Hence the interquartile range increased by 3(7-4) when we included the eight weight.
Step-by-step explanation:
The weight of the seven rocks is given as:
11 13 14 6 10 9 10
on arranging the data in the ascending order we get the observation as:
6 9 10 10 11 13 14
we divide our data into 3 sets:
the median of data([tex]Q_2[/tex]) is: 10 (as it is the middle value among the data)
The lower set of data is:
6 9 10
[tex]Q_1=9[/tex] ( as it is the middle value)
The upper set of data is:
11 13 14
[tex]Q_3=13[/tex] ( as it is the middle value in the upper set of data)
Hence, the interquartile range is: [tex]Q_3-Q_1=13-9=4[/tex]
The weight of eight rocks is given as:
11 13 14 6 10 9 10 5
On arranging the data in ascending order we get:
5 6 9 10 10 11 13 14
The median of the data is denoted by [tex]Q_2[/tex] which is the middle value of the given data.
Hence the median here is between 10, 10.
so, the median is given by:
[tex]\dfrac{10+10}{2}=10[/tex]
thus [tex]Q_2=10[/tex]
also the lower set of data is:
5 6 9
Thus [tex]Q_1=6[/tex] (as it is the middle value in the lower set of data)
the upper set of data is:
11 13 14
Thus [tex]Q_3=13[/tex]
Hence, the interquartile range is:
[tex]Q_3-Q_1=13-6=7[/tex]
So when we were having seven weights the interquartile range was: 4
and when we included the eight weight the interquartile range becomes: 7
Hence the interquartile range increased by 3(7-4) when we included the eight weight.
deshawn is covering a 4 yard by 1 3/4 yard section of his bedroom wall with decorative tiles. The tiles are 1/4 by 1/4 yard. How many tiles will it take to cover 1 square yard?
It will take 16 tiles to cover 1 square yard.
Explanation:To find out how many tiles it will take to cover 1 square yard, we need to calculate the area of one tile.
The tiles are 1/4 by 1/4 yard, so the area of one tile is (1/4) * (1/4) = 1/16 square yard.
To cover 1 square yard, we need to divide the total area by the area of one tile:
1 square yard / (1/16 square yard) = 1 * (16/1) = 16 tiles.
3/2(b + 1) = 3..........
b = - [tex]\frac{1}{2}[/tex]
multiply both sides by 2(b + 1) to eliminate the fraction
3 = 3× 2(b + 1)
3 = 6(b + 1) = 6b + 6 ( subtract 6 from both sides )
- 3 = 6b ( divide both sides by 6 )
b = - [tex]\frac{3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
Whitney rolls a ball down a ramp that is 18 feet long if the ball rolls down 2 feet each second what integer represents the amount of time in seconds the ball takes to reach the end of the ramp
Integer generally means number.
if s = seconds then
2s = 18
solve for s,
18/2 = 7
s = 7 seconds
Answer:
ball took 9 seconds to reach at the end o the ramp.
Step-by-step explanation:
Whitney rolls a ball down a ramp.
Length of the ramp = 18 feet
Speed by which the ball rolls down = 2 feet per second
Let the ball takes T seconds to reach the end of the ramp.
By the formula,
Time taken = [tex]\frac{\text{Distance rolled}}{\text{Speed}}[/tex]
= [tex]\frac{18}{2}[/tex]
= 9 seconds
Therefore, ball took 9 seconds to reach at the end o the ramp.
At 7:00 a.m the temperature was 8 C what was the temperature at midnight if the temp was 10 lower?
Find the vertex of this parabola. y = -2x2 + 4x + 12 A. (-4, 12) B. (-2, 6) C. (3, 6) D. (1, 14)
D
given the equation of a parabola in standard form : ax² + bx + c = 0 ( a ≠ 0 )
then the x-coordinate of the vertex = - [tex]\frac{b}{2a}[/tex]
y = - 2x² + 4x + 12 is in standard form
with a = - 2, b= 4 and c = 12
[tex]x_{vertex}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1
substitute x = 1 into the equation for y
y = - 2(1)² + 4(1) + 12 = 14
vertex = (1, 14 )
Answer: the answer is d
Beach cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages while the flier requires two. They are limited to 500 sheets of paper, but need to print at least 80 brochures and 100 fliers. Each brochure cost .10 to print and each flier costs .06 to print. How many of each should their print to minimize their cost?
Let x the number of brochures and y the number of fliers.
Optimizing function⇒ f(x,y) = 0.1 x + 0.06 y
Constraints:
x ≥ 80
y ≥ 100
3x + 2y ≤ 500
See the attached figure which represents the constraints.
From the attached figure:
The vertices of the feasible region are (80, 100), (80, 130) and (100, 100).
Substitute the points (80, 100), (80, 130) and (100, 100). in the function
f(x,y) = 0.1 x + 0.06 y
If (x,y) = (80, 100) ⇒ f(x,y) = 14
If (x,y) = (80, 130) ⇒ f(x,y) = 15.8
If (x,y) = (100, 100) ⇒ f(x,y) = 16
The minimum value 14 at (80, 100).
To minimize the cost, she would print 80 brochures and 100 fliers.
This is an optimization problem in mathematics that can be solved by linear programming. The constraints of the problem can be represented by inequalities, and the objective function (cost of printing) can be minimized by finding the optimal number of brochures and fliers to print.
Explanation:This question is a type of optimization problem in mathematics, specifically a type of problem often found in linear programming. The objective is to minimize the cost of printing brochures and fliers.
First, set up the inequalities based on the constraints. Let x be the number of brochures and y be the number of fliers.
Since each brochure uses 3 sheets and each flier uses 2, and there are only 500 sheets available, the inequality is 3x + 2y <= 500.As they need to print at least 80 brochures and 100 fliers, we have two more inequalities: x >= 80 and y >= 100.Then, we need to find the number of brochures and fliers to minimize the cost, which is 0.10x + 0.06y. You can solve this problem using methods of linear programming, such as graphing the feasible region and finding the minimum point.
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Which construction might this image result from?
A.
construction to copy a line segment
B.
construction of a perpendicular bisector
C.
construction of a perpendicular to a line through a given point on the line
D.
construction of a line parallel to an existing line
E.
construction of a perpendicular to a line through a given external point
Answer:
E
Step-by-step explanation:
Construction of a perpendicular to a line through a given point on the line might this image result from. Correct option is C.
A. Construction to copy a line segment: This construction involves using a straightedge and compass to create an identical copy of a given line segment.
B. Construction of a perpendicular bisector: This construction involves finding the perpendicular bisector of a given line segment, which is a line that intersects the segment at its midpoint and forms right angles with it.
C. Construction of a perpendicular to a line through a given point on the line: This construction involves drawing a line perpendicular to a given line through a specific point on that line.
D. Construction of a line parallel to an existing line: This construction involves drawing a line that is parallel to a given line and passes through a specific point not on the given line.
E. Construction of a perpendicular to a line through a given external point: This construction involves drawing a line perpendicular to a given line and passing through a point located outside the given line.
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Hey guys plz help
I really need it
The width of the city is 104/5
Length of city is 5/2 times of width i.e. 5/2 × 104/5 = 520/10 = 52 metres
In 2004 approximately 5 million cars and trucks were classified as Flex Fuel which means they could run on gasoline or diesel in 2009 that number increased to about 8 million how many more cars and trucks were flex fuel in 2009
In 2009, there were 3 million more flex fuel vehicles than in 2004.
There is asked how many more flex fuel vehicles were available in 2009 compared to 2004. A flex fuel vehicle is one that can run on more than one type of fuel, usually gasoline combined with either ethanol or methanol fuel.
In 2004, there were approximately 5 million flex fuel vehicles. By 2009, this number rose to about 8 million. To find the increase, we subtract the initial number from the final number:
Number of flex fuel vehicles in 2009 - Number of flex fuel vehicles in 2004 = Increase in flex fuel vehicles
8 million - 5 million = 3 million
There are 50 campers at day camp and 10 counselors. Write the ratio of capers to counselors as a fraction
divide the two numbers.
50/10 = 5
there are 5 campers per counselor, or
5/1 (camper/counselor)
hope this helps
50/10 or a simplified version 5/1 !! This Means For every 5 studens their are 1 counselor for them!
How many 2 inch cubes are needed to completely fill a cubic box of edges 4 inches long?
4 2 inch cubes are needed to fill the cubic box
The volume of the larger cube is 64 cubic inches and the volume of the smaller cube is 8 cubic inches. By dividing the larger volume by the smaller, we find that 8 two-inch cubes can fit in a four-inch cube.
Explanation:The question is asking how many 2 inch cubes can fit into a bigger cube that has 4 inch edges. Firstly, we need to calculate the volume of the bigger cube by using the formula for volume of a cube which is the edge length cubed. So, 4 inches x 4 inches x 4 inches gives us a total of 64 cubic inches.
To find out how many 2 inch cubes can fit into the 64 cubic inch box, we would divide the volume of the bigger box by the volume of the smaller cube. The volume of the 2 inch cube is 2 inches x 2 inches x 2 inches which equals 8 cubic inches.
Dividing the volume of the bigger cube by the volume of the smaller cube gives us 64 divide by 8 equals 8. So, 8 cubes of 2 inch sides can fit into one cube of 4 inch sides.
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You can spend up to $35 on a shopping trip.
a. You want to buy a shirt that costs $14. Identify an inequality that represents the amount of money, x (in dollars), you will have left if you buy the shirt.
x+14≥35
x+14≤35
x−35≥14
x−35≤14
Question 2
Solve the inequality.
The solution is .
Question 3
b. You notice that the shirt is on sale for 30% off. Identify the new inequality.
x+9.8≥35
x+35≤9.8
x+9.8≤35
x+9.8≤24.5
Question 4
c. Do you have enough money to buy the shirt that is on sale and a pair of pants that costs $23? Which best explains your answer?
no; The cost of the shirt and the pants is $37, which is more than $35.
yes; The cost of the shirt and the pants is $32.80, which is less than $35.
no; The cost of the shirt and the pants is $32.80, which is more than $21.
yes; The cost of the shirt and the pants is $21, which is less than $23.
the answer to this question is 21 dollars are left
Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are called latitude lines. The equator is latitude line 0. Parallel lines are numbered up to pi/2 to the north and to the south. If we assume Earth is spherical, the length of any parallel of latitude is equal to the circumference of a great circle of Earth times the cosine of the latitude angle.
a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.
b. Write an equation for the circumference of any latitude circle with angle 0
c. Which latitude circle has a circumference of about 3593 kilometers?
d. What is the circumference of the equator?
Answer:
a) circumference of great circle=40212.4km
b) circumference of latutude circle=40212.4cos[tex]\theta[/tex] kilometers
c)The latitude circle is at an angle of 84.9°
d)Circumference of equator=40212.4km
Step-by-step explanation:
Refer to the figure shown below, we are given that earth has been charted with vertical and horizontal line and horizontal lines are called latitude lines.
So every horizontal line corresponds to a circle.
So the great circle will have radius equal to earth radius.
a)we are given with earth radius=6400km.
Hence circumference of a great circle= 2πX6400=40212.4km
b)At a latitude with angle x=[tex]\theta[/tex], the circumference of latitude circle = [tex]40212.4cos\theta[/tex]
c)If a latitude circle has a circumference of about 3593km,
then [tex]40212.4cos\theta=3593[/tex]
[tex]cos\theta=\frac{3593}{40212.4} =0.0894[/tex]
[tex]\theta=cos^{-1}(0.0894)[/tex]=84.9°
Hence the latitude circle is at an angle of 84.9°
d) At equator angle is 0.
Hence circumference of equator=40212.4cos(0)=40212.4km
what is 2 to the -3 power
The answer would be 1/8.
Complete the point-slope equation of the line (6,4) and (7,2).
y-2=________
y - 2 = - 2(x - 7)
the equation of a line in ' point- slope form ' is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, 4 ) and (x₂, y₂ ) = (7, 2)
m = [tex]\frac{2-4}{7-6}[/tex] = -2
using m = - 2 and (a, b) = (7, 2)
y - 2 = - 2(x - 7 ) ← in point-slope form
9=-7m+1-6 I don't know how to do it
The value of m is -2 for 9 = -7m + 1 - 6.
Given Equation;
9 = -7m + 1 - 6
Add 6 on both side,
9 + 6 = -7m + 1 - 6 +6
15 = -7m + 1
Subtract 1 on both side,
15 -1 = -7m + 1 -1
14 = -7m
m = - 2
Therefore, the value of m is -2.
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what percent of 1620 dinner rolls is 85 dinner rolls
Answer:
it is 1905.88%
Step-by-step explanation:
We have,85%x X=1620
Or 85/100*x=1620
multiplying both sides by 100 and dividing both sides by 85
we have x = 1620 * 100/85
x=1905.88
if you are using a calculator ,simply enter 1620x100÷85,which will give you the answer
85 dinner rolls represent approximately 5.25% of 1620 dinner rolls. The calculation is done by dividing 85 by 1620 and then multiplying by 100.
To find what percent of 1620 dinner rolls is 85 dinner rolls, we use the basic formula of (part/whole) x 100. In this case, the 'part' is the 85 rolls, and the 'whole' is the 1620 rolls. So we calculate the percentage as follows:
(85 / 1620) x 100 = (0.05247) x 100 [10pt] [10pt]= 5.247%
Thus, 85 dinner rolls are approximately 5.25% of 1620 dinner rolls.
Two number cubes are rolled for two separate events: Event A is the event that the sum of numbers on both cubes is less than 10. Event B is the event that the sum of numbers on both cubes is a multiple of 3. Complete the conditional-probability formula for event B given that event A occurs first by writing A and B in the blanks: P_________( a0 | _________ a1) = P_______( a2 ∩ _____________a3) P(__________________ a4) If someone could please comment cant figure this question out
Final answer:
The conditional probability formula for event B given event A is represented as P(B|A), which is calculated using P(A and B) / P(A). Using dice as an example, the events are described and demonstrated to be neither mutually exclusive nor independent due to overlapping outcomes and interdependence.
Explanation:
The conditional probability of event B given that event A has occurred is represented as P(B|A). To fill in the blanks in the provided formula, it would be P(B | A) = P(B ∩ A) / P(A). Using the provided scenarios, we need to calculate P(A), which is the probability that the sum of numbers on both cubes is less than 10, P(B), which is the probability that the sum of numbers on both cubes is a multiple of 3, and P(A and B), which is the probability that both events occur simultaneously. Finally, we use the formula P(A|B) = P(A and B) / P(B) to calculate the conditional probability.
For example, event A could be rolling a 3 or 4 first, followed by any even number, and event B could be rolling a sum at most 7 on two dice. These events are not mutually exclusive since they can both occur simultaneously, nor are they independent since the occurrence of one affects the likelihood of the other happening.
The completed conditional-probability formula is: P(B|A) = P(A ∩ B) / P(A)
To complete the conditional-probability formula for event B given that event A occurs first, we need to fill in the blanks with the appropriate terms:
P(B|A) = P(A ∩ B) / P(A)
Let's break down each term:
a0: Event A occurs
a1: Event B occurs
a2: Event A and B occur simultaneously (intersection of A and B)
a3: Event A occurs
a4: Event B occurs
Therefore, the completed conditional-probability formula is:
P(B|A) = P(A ∩ B) / P(A)
A truck driver is 2 hours into 1,346-Mile drive and has driven 125 Miles s far. Which of the following is the number of miles the truck driver still must cover to reach th halfway point to the trip ?
*ANSWER ASAP* {WILL GIVE BRAINLIEST} Refer to the equation 3x - 2y = -18
m=3/2 is the answer for the equation
A car drives 80 mph if you add 760 how much is the total
Graph y - 5 = - 2/3 (x + 9) using the point and slope given in the equation.
Please help FAST!!!!
Answer:
Please find the attachment.
Step-by-step explanation:
We are asked to graph the equation [tex]y-5=-\frac{2}{3}(x+9)[/tex].
We know that point-slope form of an equation is in form [tex]y-y_1=m(x-x_1)[/tex], where, m represents slope of line and [tex](x_1,y_1)[/tex] is a point on the line.
We can see that slope of the line is [tex]-\frac{2}{3}[/tex], so line will be a decreasing line.
We can represent the given equation as [tex]y-5=-\frac{2}{3}(x-(-9))[/tex].
The line will pass through the point [tex](-9,5)[/tex].
The graph of the linear equation can be seen in the image at the end.
How to graph the linear equation?To graph any line, we just need to identify two points in the line, and then we can connect them with a line.
Here the equation is:
y - 5 = (-2/3)*(x + 9)
We can see that this equation contains the point (-9, 5) (both sides of the equation become zero in that point)
5 - 5 = (-2/3)*(-9 + 9)
0 = 0
And evaluating in x = 0 we get:
y - 5 = (-2/3)*(0 + 9)
y = 5 + (-2/3)*9
y = 5 - 6
y = -1
So we have the point (0, -1)
Just graphing these two points and conecting them with a line we will get the following graph:
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