Answers
Answer:
a. 2 7/9 miles
b. 21.6 minutes
c. 8 1/3 miles
Step-by-step explanation:
The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.
We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...
k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile
__
a.The proportion can be written ...
distance/(20 minutes) = (1 mile)/(7.2 minutes)
distance = (20/7.2) miles = 2 7/9 miles
Catlin will run 2 7/9 miles in 20 minutes
__
b.The proportion can be written ...
time/(3 miles) = (7.2 minutes)/(1 mile)
time = (3)(7.2 minutes) = 21.6 minutes
Catlin was running 21.6 minutes
__
c.In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...
3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles
Catlin will run 8 1/3 miles in one hour.
_____
Additional comment
Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.
Related Questions
Which is a short-term consequence of making a late payment on your bill? it will be harder to buy a house because it affects your credit history. there will be a late fee added to the bill. it will be harder to secure a new loan at a low rate. the bank will charge a fee for having a negative balance.
Answers
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill. Option B is correct.
What is the late payment?A late payment is a payment sent to a lender or service provider after the due date or after the grace period for the payment has expired.
The consequence of making a late payment on your bill is;
A-it will be harder to buy a house because it affects your credit history.
B-here will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D- The bank will charge a fee for having a negative balance
All the given options are the consequence of making a late payment on your bill. But the options A, C, and D are the long-term consequences. While option B is a long-term consequence.
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill.
Hence option B is correct.
To learn more about the late payment refer to the link;
https://brainly.com/question/23509549
B - there will be a late fee added to the bill
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 23. 4 miles per gallon (mpg). A random sample of 41 cars are selected and the air filter of each is replaced with a new one. Let mu be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if mu space greater than space 23. 4 mpg. A test is made of H subscript 0 colon space mu space equals space 23. 4 space space space v e r s u s space space space H subscript 1 colon space mu space greater than space 23. 4. Assume that the air filter changes are effective but the conclusion is reached that the changes might not be effective. Which type of error, of any, has occurred
Answers
From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error
What is type I error ?Data:
Mean fuel efficiency = 23.4 mpgsamples = 41This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.
What is type II error ?This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error
Given that the air filter changes are not effective i.e. ȝ = 24.7.
It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.
The answer to this question is type II error
Learn more on null hypothesis here;
https://brainly.com/question/15980493
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 1.125 minus t, and 20 left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 15 minus t, and 20 left-parenthesis 15 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 1.125 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 15 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 15 minus t right-parenthesis.
Answers
Answer:
right all about i think all are right
10. Jenn went to the farmer's market with $40. She brought a 10 lb bag of
potatoes for $6, a pie for $8,4 qt frest strawberries for $4 per qt, and 5 lb
of apples at $1. 49 per lb. What percent of the $40 did she still have when
she left? *
Answers
Answer:
Step-by-step explanation:
Find all the expenses:
potatoes: $6
pie: $8.4
strawberry: $4
apples: $1.49 * 5 => $7.45
total=> 6 + 8.4 + 4 + 7.45 = $25.85
Rule:
$40 = 100%
$25.85 = x%
=> x = ($25.85 * 100%) / $40 = 64.625%
hey double check if I added wrong, and if it is repeat the calculation,
hope it helps
Andrea is an accountant who lives in the state of texas. which tax is she not responsible to pay? a. gasoline tax at the state level b. income tax at the national level c. inheritance tax at the state level d. payroll tax at the national level
Answers
The tax is Andrea not responsible to pay Payroll tax at the national level.
We have Andrea is an accountant who lives in the state of texas.
To determine the tax is she not responsible to pay
What is the Payroll tax?
The Payroll tax would include the deduction that was made to be allocated into her pension, medicare, or some form of investment.
Payroll tax is regulated under states law along with the policy from the company where she works.
So she's exempt from payroll at the national level.
Therefore option D is correct.
Thus the tax is Andrea not responsible to pay Payroll tax at the national level.
To learn more about the tax visit:
https://brainly.com/question/26316390
Answer:
C. inheritance tax at the state level
Step-by-step explanation:
PLATO answer
What is the value of [ 3 × ( 8 − 2 ) ] 5 ? enter your answer in the box.
Answers
Answer:
90
Step-by-step explanation:
1st you solve for the 8-2 in the parentheses
[3 x 6] 5
Then solve what's in the brackets
[18]5
18 x 5 = 90
What is the length of the hypotenuse?
Answers
14 units
By find the missing angle to be 60. Use Cos = a/h
Cos60 = 7/h
x h, then ÷ by cos60
h = 7/cos60
h = 14
Hypotenuse is the longest length
Soh Cah toa
So, the last length must be 7 root 3 (12.12 to 2d.p)
(root means square root)
Hope this helps!
Auto insurance options offered by aa auto insurance are outlined in the table below. what monthly payment would you expect for an insurance policy through aa auto insurance with the following options? bodily injury: $25/50,000 property damage: $25,000 collision: $250 deductible comprehensive: $100 deductible aa auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/$50,000 $22.50 $50/100,000 $31.75 $100/300,000 $40.25 property damage $25,000 $120.50 $50,000 $144.75 $100,000 $193.00 collision $100 deductible $520.00 $250 deductible $415.25 $500 deductible $275.75 comprehensive $50 deductible $110.25 $100 deductible $100.00 a. $43.23 b. $46.10 c. $54.85 d. $64.44
Answers
Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.
What is insurance?
insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.
A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.
Learn more about insurance on:
brainly.com/question/4953989
Answer:
A
Step-by-step explanation:
U
S
V
Y
4x0
T
W
60°
.
Z
X
Find m2 svw.
mZSVW =
Answers
Answer:
Answer is 72°. Hope it helps.....
Easy Points!!
Question 7 of 10
Does the mapping diagram represent a function? Why or why not?
A. No; each input pairs with only one output.
B. No, the input value x = 3 pairs with two different output values.
O C. No; two output values pair with two different input values
O D. Yes; each input pairs with only one output.
Answers
During second period, Clara completed a grammar worksheet. Of the 45 questions, Clara got 60% right. How many questions did Clara get right?
Answers
Answer:
0.6*45=27
Step-by-step explanation:
You have to change 60 percent into a decimal and multiply it by 45 because there are 45 questions and you wil get 27
O is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.
Answers
Answer:
your answer would be 929.24856 or
≈ 929.2
Step-by-step explanation:
tan15∘ = opposite/adjacent= x/17
tan15 ∘= x/17
tan15 /1 = x/17
1/2= 4.55514 ·17
=38.718689
38.718689 · 2 = 77.43738
(77.43738)(12)(multiply the 2)
and your answer should then be....929.24856 or 929.2
i hope i was able to help you!!!
The area of the regular pentagon is 929.2486 or 929.2.
What is regular pentagon?A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .
According to the question,
The regular pentagon has 'O' as its center and radius of regular pentagon is 17.
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
Find the length of the apothem
tan θ = [tex]\frac{opposite}{adajacent}[/tex]
To find θ
The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.
(12-2)180 = (10)(180).55
= 1800.
To find entire interior angle 1800 divided by 8 we get 225.For the triangle at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.
tan 15° = [tex]\frac{x}{17}[/tex]
(0.2679) 17 = x
x = 4.5543
Perimeter of the polygon = (4.5543)(17)
= 77.4231
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
=77.4231 × 12
=929.2476
Hence, The area of the regular pentagon is 929.2486 or 929.2.
Learn more about regular pentagon here
https://brainly.com/question/1980649
#SPJ2
Partition the rectangle into 4 equal sections. Explain how you partitioned the rectangle.
Answers
Divide the rectangle in half vertical-wise and horzintal-wize. This creates four equal sections, or partitions the garden into quarters ([tex]\frac{1}{4}[/tex]).
See attached for an example.
Please note you can also divide it into four portions vertically or four portions horizontally and reach the same result of four quarters.
A. Give the measure of an exterior angle of each of the following regular polygons.
With a Solutions pls
1. Triangle
2. Octagon
3. Hexagon
Pls answer it correctly. need it tomorrow!
Answers
Answer:
120° , 45° , 60°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
the exterior angles of a regular polygon are congruent , then
(1) triangle with 3 sides
exterior angle = 360° ÷ 3 = 120°
(2) octagon with 8 sides
exterior angle = 360° ÷ 8 = 45°
(3) hexagon with 6 sides
exterior angle = 360° ± 6 = 60°
An article is bought for Rs200 & sold for Rs250,what is the profit percentage.
Answers
(200/250)×100 = 80%
100 - 80 = 20%
hope it helps...!!!
Answer:
20%
Step-by-step explanation:
Find the surface area of the prism
Answers
Answer:
216cm²
Step-by-step explanation:
SA of the rectangular prism
= 2(lb + bh + hl)
= 2(3*6 + 6*10 + 10*3)
= 2(18 + 60 + 30)
= 2(108)
= 216cm²
I need help with these 2 questions, This due very soon so please respond ASAP and I will mark brainliest if correct!
Answers
Answer:B,C
Step-by-step explanation:
the other do is always numbers with t be oossblie because of the quadratic formula
I SUCK AT MATH HELP PLS!!!
Answers
Answer:
Step-by-step explanation:
Formula
m = (y2 - y1)/(x2 - x`1)
Givens
Points M(-5,4) and N(2,-1)
y2 = 4
y1 = -1
x2 = - 5
x1 = 2
Solution
m = (4 - - 1) / (-5 - 2)
m = (4 + 1) / (- 7)
m = (5) / (- 7)
Answer: m (slope ) = 5/-7
Note
The question is how do you enter it? It depends on how you have been told to enter fractions or mixed numbers. I would answer it as
-5
-----
7
which you will note transfers the minus sign to the top of the fraction. It shouldn't matter as long as the net result is minus.
Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A
Answers
The inequalities have no solution since their graph does not intersect or overlap.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Hence, The inequalities have no solution since their graph does not intersect or overlap.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ1
Answer:
B. There is no solution.
Step-by-step explanation:
And katie stop deleting my answers
Which function is shown in the graph below
Answers
Answer:
y=2x^+2+3
2nd bubble
please make this answer brainliest If I helped you!
help pls first correct answer gets brainleist
Answers
Simplify (- 20 - 3i) - (- 22 - 1i)
Answers
A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.
Simplifying the given expression:⇒ (- 20 - 3i) - (- 22 - 1i)
⇒ (- 20 - 3i + 22 + 1i)
⇒ (2 - 2i)
Therefore the simplification of the given expression is "(2 - 2i)"
Find out more about the expression here:
brainly.com/question/2059524
graph the inequality on the axis below x+6y<6
Answers
Answer:
Step-by-step explanation:
Alia bought a home for her pet turtle. The rectangular tank is 3 feet long, 1 foot wide, and 2 feet high. What is the volume of the tank?
The volume of the tank is Blank
cubic feet
Answers
Answer:
6 ft^3 or cubic ft
Step-by-step explanation:
Volume = B x H or L x W x H
Base = L x W
Length: 3 ft
Width: 1 ft
Height: 2 ft
3 x 1 x 2 = 6
6 ft^3
2.) f(x) is transformed to create the graph of g(x). Describe the
transformation
f(x) = |x|
g(x) = (x + 71
1x +
Ofis shifted up 7 units
7
Ofis shifted left 7 units
Ofis shifted right 7 units
7
Ofis vertically stretched by a factor of 7
Ofis shifted down 7 units
Answers
Answer:
2nd option
Step-by-step explanation:
given f(x) then f(x± a) is a horizontal translation of f(x)
• If + a then a shift to the left of a units
• If - a then a shift to the right of a units
g(x) = | x + 7 | ← with a = + 7
then g(x) is f(x) shifted 7 units to the left
Another answer answer answer
Answers
Answer:
B
Step-by-step explanation:
-13-7=-20
Check:
13+7=20
The correct answer is B.
simplify 15/root75 +root 108+root 432
Answers
Answer:
32.91
Step-by-step explanation:
[tex] \hookrightarrow \sf \frac{15}{ \sqrt{75} } + \sqrt{108 } + \sqrt{432} [/tex]
[tex] \hookrightarrow \sf \: 19 \sqrt{3} \approx \: 32.908965[/tex]
Answer:
32.90235
Step-by-step explanation:
[tex]\frac{15}{\sqrt{75} }[/tex] + [tex]\sqrt{108}[/tex] + [tex]\sqrt{432}[/tex]
= 1.73205 + 10.3923 + 20.784
= 32.90235
If the dimensions of a shipping box are all doubled, how many staplers can the larger box hold? 24 staplers 48 staplers 96 staplers 192 staplers
Answers
The larger box with all dimensions double the small box will hold 192 staplers.
We have one cubical box with a side of 6 inches.
What is a cube?A cube is a prism with a height equal to the side of the base.
One box contains 24 staplers.
If we make each side double we will get a total of 8 boxes same as the smaller box.
So, 8 boxes will contain = 8*24 =192 staplers.
Hence, the larger box with all dimensions double the small box will hold 192 staplers.
To get more about cubes visit:
https://brainly.com/question/1972490
Answer:
192 Staplers
Step-by-step explanation:
Economists are analyzing the effects of new tax policies on population growth. From recent census data, it is known that the proportion of families in the United States who have more than 3 children in the household is 26%. For a random sample of 50 families, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places
Answers
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of the sample proportions is of 0.062.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem:
The proportion is of p = 0.26.A sample of n = 50 families is taken.Hence, the standard deviation is given by:
[tex]s = \sqrt{\frac{0.26(0.74)}{50}} = 0.062[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
What is the value of x?
Answers
Answer: 5
Step-by-step explanation: