Answer: The purpose of this task is to give students experience in reasoning with equivalent ratios and unit rates from both sides of the ratio. This prepares for studying proportional relationships in Grade 7, and in Grade 8 for understanding that a proportional relationship can be viewed as a function in two different ways, depending on which variable is regarded as the input variable and which as the output variable. The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.
If we look in column E, we can see that it would take her 45 minutes to run 6 miles.
If we look in column B, we can see that she could run 2 miles in 15 minutes.
If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.
If we look in column C, we can see that her pace is 7.5 minutes per mile.
If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5minute mile×6 miles=45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Using the speed - distance relationship, kira's speed in miles per hour would be 4.8 miles per hour.
Given the Parameters :
Speed = 5/12 hours = 0.416666 hour Distance = 2 miles Speed = distance / timeHence,
Speed = (2 ÷ 0.416666) = 4.8 miles per hour.
Therefore, Kira's speed is 4.8 miles per hour.
Learn more : https://brainly.com/question/13816092
Please help with both and leave a small explanation! I wanna double check my answers!
Answer:
(1)Hoops shadow would be 6 ft (2) model would be 3 cms
Step-by-step explanation:
9 / 3 = 3 3 x 2 = 6 ft
15 / 5 =3 3 x 1 = 3 cm
Which is the last operation preformed when evaluating (8-2x)²+4 for x=3
A addition
B multiplication
C subtraction
D applying the exponent
Please hurry
Answer: I think its c sorry if im whrong
A company manufactures batteries in batches of 26 and there is a 3% rate of defects. Find the standard deviation for the number of defects per batch.
Answer:
The standard deviation for the number of defects per batch is 0.87.
Step-by-step explanation:
Let X denote the number of defective batteries per batch.
A company manufactures batteries in batches of n = 26.
It is provided that the rate of defects is, p = 0.03.
Each battery is defective independently of the others.
The random variable X follows a binomial distribution.
The standard deviation of a binomial distribution is:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Compute the standard deviation for the number of defects per batch as follows:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{26\times 0.03\times (1-0.03)}\\\\=0.86982757\\\\\approx 0.87[/tex]
Thus, the standard deviation for the number of defects per batch is 0.87.
7a/9bc divided by 21a/12b
Answer:
Step-by-step explanation:
I dont know if you meant to punch in a c into the equation but if you didnt mean to i have both answers
The one that contains a c in the fraction that you asked for!3x * -2y= -100
Solve for y and x.
Answer:
x=50/3y
y=50/3x
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which point is a reflection of Z(5 1/2,3) across the y axis
Answer: C?
Step-by-step explanation:
Because reflecting means like think of a mirror it’s reflecting you so the opposite side would be the bottom right quadrant please tell me if I’m right?
Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f
Answer:
Step-by-step explanation:
its a or e
Answer:
A
Step-by-step explanation:
A is bicycles to skateboards which is 10:6
You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?
Answer:
Step-by-step explanation:
Step-by-step explanation:
Since, after making the diagram of this situation,
We get two triangles ABC and CED,
In which AB = 90 feet, BC = 36 feet and CE = 100 feet,
Now,
( Vertically opposite angles )
( Right angles )
By AA similarity postulate,
By the property of similar triangles,
Since, point D represents the lighthouse.
Hence, the distance from point E to the lighthouse = 250 feet
Quien me ayuda por favor dime gracias
Stuck on this problem for awhile
Answer:B
Step-by-step explanation: 1/3*5=5/3*2/9=10/27
Kiley had a piece of bamboo skewer that measured 14 inches long. She wanted to cut it into toothpicks that were each 3 inches long. How many toothpicks can she make?
4 toothpicks
5 toothpicks
46 toothpicks
47 toothpicks
Answer:
4 toothpicks
Step-by-step explanation:
14 / 3 = 4.66666
Tootpicks can't be rounded up so it'll just be 4
A line passes through the points (8, 1) and (6, 7). What is the slope?
Answer:
-3
Step-by-step explanation:
7-1=6
6-8=-2
A line connects the points (8, 1) and (6, 7). The angle is -3.
What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.Therefore,
Slope (m) = ΔY/ΔX
= 3/-1
= -3
The slope = -3
θ = arctan(ΔY/ΔX) + 180°
=1 08.43494882292°
ΔX = 6 – 8 = -2
ΔY = 7 – 1 = 6
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = -3x + 25
When x = 0, y = 25
When y = 0, x = 8.3333333333333
Hence, A line connects the points (8, 1) and (6, 7). The angle is -3.
To learn more about slope, refer to:
brainly.com/question/16949303
#SPJ2
BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
Mrs. Ryan purchased 25,000 grams of clay for her art classes at school. If she has 100 students, how many grams of clay will each student get if it is divided equally?
25 grams
100 grams
250 grams
2,500 grams
what is the probability of getting an A and then a 2?
Answer:
it would techically be a 50/50 chance of getting either an A or a 2
Help fast! Will give brainliest!!!
Answer:
Jacki did not subtract 12 from 8 correctly i believe
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
A game uses a single 6-sided die.
To play the game, the die is rolled one time, with the following results:
Even number = lose $10
1 or 3 = win $3
5 = win $8
What is the expected value of the game?
28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.
Answer:
1) 28 divided by 7 equals 4
2) 32 divided 8 equals 4
3) 4000 divided by 4 equals 1000
i hope these are right!
Answer:
4
1/4
1000
multiply it by the reciprocal of the 2nd number
Step-by-step explanation:
What is the ratio of 5
footballs to 9 Baseballs
Answer:
5:9 If that's what you meant
Step-by-step explanation:
Answer:
5:9
Step-by-step explanation:
Ratio is as follows
n1 to n2 = n1:n2
Therefore,
5 footballs to 9 baseballs = 5:9
Hope this helps :)
PLEASE HELP I SUCK AT MATH
The answer to the question is B. [tex]y=4x[/tex]
[tex]4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20[/tex]
i need help with this ^
Answer:
I think it's 3
Step-by-step explanation:
If 2 is c than subtract it and it's 3?
PLZ HELP ME?!?!?!?!?!?!?!?!?!?!?!!!???!?!?!?!?
At the electronics store, James bought a headset that was originally priced at $90 for $60. What was the percent of change in the headset's price?
Answer:
30%
Step-by-step explanation:
24% of 72 is what number? (will mark brainliest for full explanation)
Answer:
300
Step-by-step explanation:
Answer:
17.28
Step-by-step explanation:
Multiply 72 by .24, .24 being 24% because it is 24 out of 100.
I need help with whole thing teacher is putting pressure on me and I have a 10 in her class
Answer:
So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.
So when it says X -4
Y 5
Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)
Step-by-step explanation:
I really hope this helps you its hard to describe over type:(
Good luck:))
10^7+9+1^3 helppp meeee
Answer:
10000010
Step-by-step explanation:
10^7 is 10000000 plus 9 plus 1^3 which is 1.
10000000+9+1=10000010
Answer:
10000010
Step-by-step explanation:
Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.
Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3
25, 26, 27, 28, ...
Answer:
29,30,31
this is basically like counting just add 1
ASAP Evaluate the expression: 20.16(0.375)
Answer:
7.56
Step-by-step explanation:
Just multiply
20.16 times 0.375
7.56
Answer:
Hii
The answer is 7.56.
Step-by-step explanation:
you multiply the value outside of the bracket with the value inside of the bracket.
help meh plss :) i don't know the answer
Answer:
33 1/3
Step-by-step explanation: