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

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

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)

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

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

Answer:

4.2

Step-by-step explanation:

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

Answer:

65

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

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

Answer:

24

Step-by-step explanation:

Answer: ha no way have the same question

Step-by-step explanation:

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

Answer:

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 :(

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

- 0.8

Simple division. Shouldn’t be that hard

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:

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:

Answer:

c

Step-by-step explanation:

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}

Answer:

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

Answer:

What's the rest of the question?

Step-by-step explanation:

Answer:

criteria

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/6

The probability of getting 3 is 1/6.

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

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

Answer:

1. perpendicular; the opposite?

2. Parallel; the slopes are the same?

Step-by-step explanation:

Just use Math

way

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:

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

Answer:

112

Step-by-step explanation:

H + 2H = 336

3 = 336/H

112=H