To compare Sandra's unit rate with Terrance's and Jesse's, we must calculate their speeds in mph. Terrance runs at 12 mph, Jesse at 8 mph, and Sandra at 10.67 mph. Therefore, Sandra is faster than Jesse but slower than Terrance.
To compare Sandra's unit rate to Terrance's and Jesse's, we need to determine the speed at which each person runs in miles per hour (mph). The given information is:
Terrance runs 6 miles every half hour.
Jesse runs 2 miles every 15 minutes.
Sandra runs 8 miles in 45 minutes.
First, we calculate each person's running speed:
Terrance: 6 miles in 0.5 hours (30 minutes), so we multiply by 2 to find his speed per hour: 6 miles ÷ 0.5 hours = 12 mph.
Jesse: 2 miles in 0.25 hours (15 minutes), so we multiply by 4 to find his speed per hour: 2 miles ÷ 0.25 hours = 8 mph.
Sandra: 8 miles in 0.75 hours (45 minutes), so we divide her distance by the time in hours: 8 miles ÷ 0.75 hours = 10.67 mph.
Therefore, compared to Terrance and Jesse, Sandra's running speed is:
Faster than Jesse's (10.67 mph > 8 mph)
Slower than Terrance's (10.67 mph < 12 mph)
A line passes through the point (8, -1) and has a slope of -5/2
Write an equation in slope-intercept form for this line.
Final answer:
To find the slope-intercept form of a line with a given slope of -5/2 that passes through the point (8, -1), we use the point-slope form and then rearrange to get the final equation: y = (-5/2)x + 19.
Explanation:
To write the equation of a line in slope-intercept form (which is y = mx + b), we need to know the slope (m) of the line and the y-intercept (b). In this case, we are given the slope of the line as -5/2 and a point through which the line passes, which is (8, -1). Using the point-slope form, which is y - y1 = m(x - x1) where (x1, y1) is the given point and m is the slope, we can substitute the given slope and the coordinates of the given point to derive the slope-intercept form.
The equation starts with y - (-1) = (-5/2)(x - 8). Simplifying the equation, we get:
y + 1 = (-5/2)x + (5/2)*8
y = (-5/2)x + 20 - 1
y = (-5/2)x + 19
So, the equation of the line in slope-intercept form is y = (-5/2)x + 19.
To write an equation in slope-intercept form, substitute the given values of the slope and a point on the line into the equation. The equation of the line passing through the point (8, -1) with a slope of -5/2 is y = -5/2x + 19.
Explanation:To write an equation in slope-intercept form, we need to use the given slope and the coordinates of the point through which the line passes. The slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We're given that the slope of the line is -5/2, so we can substitute this value for m. We're also given that the line passes through the point (8, -1), so we can substitute these coordinates to find the value of b.
Using the point-slope form of a line, we have y - y1 = m(x - x1). Substituting the given values, we get y - (-1) = -5/2(x - 8). Simplifying, we have y + 1 = -5/2x + 20. Moving the 1 to the other side, we have y = -5/2x + 19. This is the equation of the line in slope-intercept form.
which statement best illustrates using the vertical line test to determine if the graph below is a function of x ?
A) the graph is not a function of x because the line x = 0 intersects the graph at two points.
B) the graph is a function of x because the line x = 5 does not intersect the graph
C) the graph is not a function of x because the line y = 0 intersects the graph at two points
D) The graph is a function of x because the line y = 5 does not intersect the graph
Answer:
A
Step-by-step explanation:
i did the quiz
please help fasti will mark brainliest
Value times frequency equals product.
True or False
Answer: The correct answer is true
Step-by-step explanation:
Julie has read 27 pages out of an 80-page book. What percent of the pages has she read?
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods. Option 1: He will ask every fifth person on each English class roster. Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer. Which statement about the methods is true? Option 1 is biased. Option 2 is biased. Neither is biased. Both are biased.
The statement about the methods is true walkathon to ask teen participants about the ways they volunteer. Then the correct option is B.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods.
Option 1: He will ask every fifth person on each English class roster. This is a biased one because the best one can be skipped.
Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer. Because all the volunteers participated that can be observed.
The statement about the methods is true walkathon to ask teen participants about the ways they volunteer. Then the correct option is B.
More about the decision-making link is given below.
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Kendra used these steps to solve the equation 2x + 5 = 3 + 2(x + 1). Which choice describes the meaning of her result, 5 = 5?
Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below. 36 cm 36 cm 15 cm 15 cm Note: Figure is not drawn to scale. What is the length of the string? A. 78 centimeters B. 102 centimeters C. 39 centimeters D. 51 centimeters
MULTIPLE CHOICE QUESTION
The product of (SQUARE ROOT SIGN)576 and (SQUARE ROOT SIGN) 684 is
(1) irrational because both factors are irrational
(2) rational because both factors are rational
(3) irrational because one factor is irrational
(4) rational because one factor is rational
Answer:
The given expression is irrational because one factor is irrational
Step-by-step explanation:
Given the expression
[tex](\sqrt{576})(\sqrt{684})[/tex]
we have to find that the product is rational or irrational.
[tex]\sqrt{576}=\sqrt{26\times 26}=26[/tex]
[tex]\sqrt{684}=\sqrt{2 \times 2 \times 3 \times 3 \times 19}=2\times 3\sqrt{19}=6\sqrt{19}[/tex]
[tex]\text{The square root of 19 is irrational }[/tex]
[tex]\text{The square root of 684 is irrational }[/tex]
Hence, the first factor of the expression is rational and the second factor is irrational therefore the product is irrational.
∴ option 3 is correct
The given expression is irrational because one factor is irrational
Answer:
The given expression is irrational because one factor is irrational
Step-by-step explanation:
What is the distance between y = -x+2 and y = -x+4?
Answer:
√2
Step-by-step explanation:
You want the distance between the lines y = -x +2 and y = -x +4.
Distance to a lineThe distance from point (x, y) to line ax +by +c = 0 is given by the formula ...
[tex]d=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}[/tex]
ApplicationRewriting the equation of the second line to general form, we have ...
y = -x +4
x +y -4 = 0 . . . . . . . a=1, b=1, c=-4
The equation of the first line is written in slope intercept form, so we can identify the y-intercept as (0, 2). Using this point in the formula for the distance to the second line, we have ...
[tex]d=\dfrac{|1(0)+1(2)-4|}{\sqrt{1^2+1^2}}=\dfrac{|-2|}{\sqrt{2}}=\sqrt{2}[/tex]
The distance between the lines is √2 units.
__
Additional comment
As you can see from the graph, the distance between the lines is the length of the diagonal of a unit square, √2.
Write area or perimeter for each situation. Carpeting a floor
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
a. Carpeting a floor
To carpet a floor, you need to find the area of it so that we can have an appropriate plan to buy material. Hence, it represented by are
b. Fencing a garden
If you want to fence a garden, we need to know the the total length around it or we can say that is the perimeter of the garden. So this situation is represented by perimeter.
Hope it will find you well.
Rebecca is purchasing a house for $210,000, with a 15-year fixed-rate mortgage at 4.5% interest. She has made a 5% down payment. The house is valued at $198,000, and the local tax rate is 4.5%. Her homeowners insurance is $840 per year. What are her total monthly payments?
A. $2437.20
B. $2520.09
C. $2630.20
D. $2381.89
Answer:
D. 2381.89
Step-by-step explanation:
Answer:
D. 2381.89
Step-by-step explanation:
Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. What's the volume of her freezer?
Answer:
24 cubic feet
Step-by-step explanation:
thanks other guy
The lengths, in centimeters, of nine earthworms are shown below. 3, 4, 5, 5, 6, 7, 8, 9, 10 What is the median of the data?
help. i don’t understand this at all!!!!!
ten voters are asked to rank 3 brands of shoes: A,B and C. The ten voters turn in the following ballots showing their preferences in order
Showing their preference table for these ballots
CBBCBBCBCB
BCABCABCBC
AACAACAAAA
Answer:
Answer is BCABCABCBC
Step-by-step explanation:
If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.70, how much does each apple and each orange cost? (Can you do it step by step)
simplify the following expression. 2x-5(2x-7y+3)+(-8)
-8x + 35y - 23 = -1 • (8x - 35y + 23)
Identify two methods a person can use to pay his or her bills online and explain the advantages and disadvantages of each.
what is 10(x-2)+(6x-6)
Mr. and Mrs. Storey drove 3,200 miles in all during their vacation. Mr. Storey drove 3 times as much as Mrs. Storey. How many miles did Mr. Storey drive?
Please just put equation, this will be on my maths test and I want to understand not just get the answer.
help....
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The counts are shown in the table below. Which proportion would predict the number of jazz songs he has stored on his MP3 player?
A) 6/20 = x/2000
B) 3/20 = x/2000
C) 2/4 = x/2000
D) 3/40 = x/2000
Answer:
B
Step-by-step explanation:
The required proportion that predicts the number of jazz songs he has stored on his MP3 player is 3/20 = x / 2000.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
From the table number of Jazz songs played = 6
Total song played = 40
Total number of songs in mp3 player = 2000
Number of jazz songs in mp 3 player
6/40 = x /2000
3/20 = x / 2000
Thus, the required proportion that predicts the number of jazz songs he has stored on his MP3 player is 3/20 = x / 2000.
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reciprocal of 4 and 1/8 fraction
Susie’s teacher asks her to complete the multiplication problem. 0.3 x 3.7. What’s the product?
A cylinder has a radius of 12 m and a height of 9 m.
What is the exact volume of the cylinder?
A. 108π m³
B. 216π m³
C. 972π m³
D. 1296π m³
we are given
radius=r=12m
height=h=9m
now, we can use formula of volume of cylinder
[tex] V=\pi r^2 h [/tex]
now, we can plug values
and we get
[tex] V=\pi (12)^2 *9 [/tex]
we get
[tex] V=1296 \pi m^3 [/tex]
so, the exact volume of the cylinder is [tex] 1296 \pi m^3 [/tex]..........Answer
Answer:
(D)
Step-by-step explanation:
It is given that a cylinder has a radius of 12 m and a height of 9 m. Then,
Volume of the cylinder is given as:
[tex]V={\pi}r^{2}h[/tex]
⇒[tex]V={\pi}(12)^2(9)[/tex]
⇒[tex]V={\pi}(144)(9)[/tex]
⇒[tex]V=1296{\pi}m^3[/tex]
Therefore, the volume of the cylinder is [tex]1296{\pi}m^3[/tex].
Thus, Option D is correct.
** PLEASE HELP!! **
Solve for w.
A.) W= 4k-2b / -5
B.) W= 3k^2- b / -5
C.) W= -3k^2 - b / 5
D.) W= 3k^2 + 2b / -5
The solution for (w) is W= 4k-2b / -5, corresponding to option A.
To solve the equation [tex]\(k = \frac{2b - 5w}{3k}\)[/tex] for (w), we follow these steps:
1. Isolate the term containing (w):
Multiply both sides of the equation by (3k) to eliminate the denominator:
[tex]\[3k^2 = 2b - 5w\][/tex]
2. Isolate (w):
Subtract \(2b\) from both sides of the equation:
[tex]\[3k^2 - 2b = -5w\][/tex]
3. Divide both sides by (-5):
Divide both sides of the equation by (-5) to isolate (w):
[tex]\[w = \frac{3k^2 - 2b}{-5}\][/tex]
Now, let's summarize the answer:
The solution for (w) is given by option:
[tex]\[\boxed{\text{(A) } w = \frac{4k - 2b}{-5}}\][/tex]
Round each addend to the nearest tenth and find the sum.
2.08 + 1.772 + 9.125
12.8
12.9
13.0
13.1
Answer:
It's 13.0
Step-by-step explanation:
The following data represent the flight time (in minutes) of a random sample of seven flights from one city to another city.
287, 270, 260, 266, 257, 264, 258
Compute the range and sample standard deviation of flight time
Answer:
Step-by-step explanation:
Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day he exercised, he walked for 10 minutes . He exercised for a total of 225 minutes last week. What is the number of minutes Devon swam each of the 5.days last week?
The Transitive Property of Congruence states that if ∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT, then _____.
a.∠XYZ ≅ ∠ZYX
b.∠XYZ ≅ ∠WYT
c.∠AOB ≅ ∠XYZ
d.∠AOB ≅ ∠AOB
By Transitive property ∠XYZ = ∠WYT.
What is Transitive property?The word "transitive" refers to movement. The transitive property of equality is a property that applies when there are three quantities, a, b, and c, and if a is connected to b and b is related to c by the same rule, then a and c are related to each other by the same rule.
Let's think about the numbers a = b and b = c. Because equality has the symmetric characteristic, writing a = b is equivalent to writing b = a. It follows that b = a and b = c. A must equal c and b since the amount b cannot be equal to two separate quantities.
Given:
∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT
As per the Transitive Property
<X = <Y
and ∠Y = ∠X,
then ∠X = ∠Z.
Similarly,
∠XYZ = ∠AOB
and ∠AOB = ∠WYT,
then ∠XYZ = ∠WYT.
Hence, by Transitive property ∠XYZ = ∠WYT.
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