Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?

In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.


part A. According to the question, the unit rate is to be expressed in which units?


Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.


Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.


Part D. Rewr

Answers

Answer 1

Complete question :

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Length of trail = 3/4 of a mile.

Time taken = 1/6 of an hour

A) unit rate will be expressed in:

Length of trail = miles

Time taken. = hour

= miles per hour (mph)

B) Jogging rate :

Length of trail / time taken

3/4 miles ÷ 1/6 hour

3/4 * 6/1

18/4 = 4 2/4 = 4 1/2

Answer 2

Answer:

3/4/3/6  miles per hour


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Answers

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2

Order the numbers from least to greatest.

first gets brainllest

Answers

-3,-2,-1/10,-0.8,1/2,1/2,7

Answer:

7, 0.8, 1/2, -0.8, -1/10, -2, -3,

Step-by-step explanation:

accidently put greatest to least just flip it i still want brainliest tho

13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y

Answers

Answer:

2x-10 = 65-x

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

Question 1

In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.


Part A

Rewrite the logarithmic equation y = logbm in exponential form.

Part B

Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .

Part C

The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.

Part D

Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27

Part E

Use the change of base formula and a calculator to evaluate log7 300. Round your ans

Answers

Answer and Step-by-step explanation:

Part A: Exponential equation is the "opposite" of logarithmic equation, so:

[tex]y=log_{b}m[/tex]

[tex]b^{y}=m[/tex]

Part B: Using log with base c:

[tex]log_{c}b^{y}=log_{c}m[/tex]

Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:

[tex]ylog_{c}b=log_{c}m[/tex]

Solving for y:

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform

[tex]y=log_{b}m[/tex]

into

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part D: [tex](log_{3}z)(log_{z}27)[/tex]

Change of base will be:

[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]

[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]

Solving:

[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = 3

Part E: [tex]log_{7}300[/tex]

Using change of base:

[tex]log_{7}300=\frac{log300}{log7}[/tex]

[tex]log_{7}300=\frac{2.48}{0.85}[/tex]

[tex]log_{7}300[/tex] ≈ 3

Anyone willing to answer this?

Answers

Answer:

1. perpendicular; the opposite?

2. Parallel; the slopes are the same?

Step-by-step explanation:

Just use Math

way

The ratio of a number x and four added to two

Answers

Answer:

hope it helps...

Step-by-step explanation:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Started at 20° and dropped 4° each minute

Answers

Answer:

hey mate I couldn't understand ur question.......plz recheck....

Answer:

What's the rest of the question?

Step-by-step explanation:

How long does it take for the baseball to reach its maximum height? (2)
b. What was the initial height of the ball? (2)


form A : h(t)= -16t^2 + 96t +7
form b: -16(t-3)^2 +151


help please

Answers

Answer: ha no way have the same question

Step-by-step explanation:

I need help please ​

Answers

Range is y so we set -5x = whatever number you pick from the range values listed, so

-5x = -5  making x=1

-5x = 0 making x=0

-5x = 10 making x=-2

-5x = 15  making x=-3

The domain is {1,0,-2,-3}

Approximately how many litres is 70 fluid ounces?

Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre

Answers

It’s 2.07 could I get a brainliest plz and thank you

10x - 6 = 6x + 6
i need the answer but i think its 3

Answers

Answer:

= 3

Step-by-step explanation:

Add  6 to both sides of the equation 10 − 6 = 6 + 6

10x-6=6x+6 10x−6=6x+6

Simplify Add the numbers Add the numbers again 10 = 6 + 12

Subtract 6 from both sides of the equation

10 = 6 + 12

10−6=6+12−6

Simplify

Combine like terms

Combine like terms again

4 = 12

Divide both sides of the equation by the same term

4=12

[tex]\frac{4x}{4}[/tex] =[tex]\frac{12}{4}[/tex]

Simplify Cancel terms that are in both the numerator and denominator then Divide the numbers.

x = 3

(__-3)(__+7)=2x^2+x-21

Answers

Answer:

(x - 3)(2x + 7) = 2x^2 + x - 21

Step-by-step explanation:

2x^2 + x - 21 = (__ - 3)(__ + 7)

The first term of the trinomial is 2x^2 which can be factored into 2x * 2.

You need to place 2x in one blank and x in the other blank.

Try it both ways. Then multiply the factors out to see which one gives you the correct middle term.

Try 2x - 3.

(2x - 3)(x + 7) = 2x^2 + 14x - 3x - 21 = 2x^2 + 11x - 21

This gives the middle term 11x, but we need the middle term to be x, so now we try x - 3.

(x - 3)(2x + 7) = 2x^2 + 7x - 6x - 21 = 2x^2 + x - 21

This gives the correct middle term, x, so this is the correct factorization.

Answer:

(x - 3)(2x + 7) = 2x^2 + x - 21

The table below shows the results of a survey of 1000 American college students and their age breakdown. Use the table to answer questions

Answers

Answer:

c

Step-by-step explanation:

The answer for this is c

−3.5=x4 please help me

Answers

The answer is -0.875

Which refers to the standards used to make a judgment or decision when designing a product?

prototypes
criteria
designs
investigations​

Answers

Answer:

criteria

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz answer I will mark u brainiest!!!!

Answers

Answer:

65

Step-by-step explanation:

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Оооо
20
24

Answers

Answer:

24

Step-by-step explanation:

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

Define the opposite and the absolute value of -8.]

Answers

Answer:

8 because this is a negitive and the oppisite is postivie so it is 8

Step-by-step explanation:

-8 is negitive on the oppisite side of the number line is positive 8 the answer is 8.

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

Can you have say from us the aks place

Answers

I’m confused on whatvyour question is, please elaborate.

On Friday a local hamburger shop sold a combined total of 336 hamburgers and cheeseburgers the number of cheeseburgers sold was two times the number of hamburgers sold how many hamburgers were sold on Friday

Answers

Answer:

112

Step-by-step explanation:

H + 2H = 336

3 = 336/H

112=H

A die is rolled. The set of equally likely outcomes is (1, 2, 3, 4, 5, 6). Find the probability of getting a 3.

Answers

Answer:

Step-by-step explanation:

1/6

The probability of getting 3 is 1/6.

What is the probability?

Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.

Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes

Here given that the dice are fair and six-sided is rolled.

Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}

The event is to get the number 3 by rolling the dice.

The favorable outcome is = {3}

Number of favourable outcomes= 1 i.e. {3}

As the dice is the set of equally likely outcomes.

Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6

Therefore the probability of getting 3 is 1/6.

Learn more about probability

here: https://brainly.com/question/14192140

#SPJ2

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: [tex]H_0: \mu = 48500[/tex]

Alternate hypothesis :[tex]H_a : \mu \neq 48500[/tex]

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

[tex]Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42[/tex]

Refer the z table

p value = 0.00776

[tex]\alpha = 0.01[/tex]

p value < [tex]\alpha[/tex]

So, We are failed to accept null hypothesis

Hence The claim is rejected

Which of the following must be negative?
I. The product of 2 negative numbers.
II. The product of 2 positive numbers.
III. The product of 3 negative numbers.

Answers

The product of 3 negative numbers is the answer

Please help
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
13 meters
14 meters
200 meters
208 meters

Answers

Answer: 14 meters

Step-by-step explanation:

Pythagorean Theorem formula = a^2 + b^2 = c^2

8^2 + 12^2 = c^

64 + 144 = 208

Now find the square root of 208 = 14.422

Answer:

You answer is 24! hope yhis helps

Step-by-step explanation:

. I'm very bad in math help would mean alot to me ​

Answers

Answer:

(6,1)

Step-by-step explanation:

In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.

Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:

a = [tex]\frac{1}{2}[/tex]bh

= 10 = (1/2) * b * 4

= 10 = 2b

= 5 = b

Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it

Y is (1 + 5, 1)

Y is (6,1)

2.6586 divided by 0.633

Answers

Answer:

4.2

Step-by-step explanation:

The answer would 4.2
2.6586 divided by 0.633 equals 4.2

Classify the following triangle. Check all that apply.
A. Right
B. Isosceles
C. Obtuse
D. Acute
E. Equilateral
F. Scalene

Answers

Answer:

is there a chart to this question?

because I can't tell the answer just by looking at it

Step-by-step explanation:

it's a b c d and f are all the correct answers

Find the quotient. 0.16/-0.2

Answers

- 0.8

Simple division. Shouldn’t be that hard

How do you solve this question

/

Answers

Answer:

5/18

Step-by-step explanation:

Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...

-4 x -5  = 20 (when you multiply two negatives, it makes a positive)

9 x 8   = 72

20/72 simplifies to 5/18.

Hope this helps!! Have a wonderful day C:

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