For exercise after work, Albert (A) went running and Tanisha (T) walked for exercise. Their times and distances are shown in the graph below. How much faster was Albert running than Tanisha walking, in miles per hour? Explain how you found your answer.

image

A.
Albert ran 3 miles per hour faster because Albert runs 6 miles per hour and Tanisha walks 3 miles per hour.

B.
Albert ran 10 miles per hour faster because Albert runs 10 miles per hour and Tanisha walks 20 miles per hour.

C.
Albert ran 3 miles per hour faster because Albert runs 10 miles per hour and Tanisha walks 20 miles per hour.

D.
Albert ran 10 miles per hour faster because Albert runs 6 miles per hour and Tanisha walks 3 miles per hour.

-12 -(-7) could not be a distance.

Distance:

Distance traveled is the total length of the path traveled between two positions. It can either be a 0 or a positive number that's mean it can never be a negative number.

So from the above-given statement we have

a) 19-7 = 12 (which is positive number)

b) -12 - (-7) = -12 + 7 = -5 ( which is a negative number)

c) -3-(-18) = -3 + 18 = 15 ( which is a positive number)

d) 14-(-6) = 14 + 6 = 20 ( which is a positive number)

Therefore option b i.e., -12 - (-7) cannot be a distance between two points on a number line.

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Answer:

The identity property of addition

Step-by-step explanation:

Jamal uses the steps below to solve the equation 6x – 4 = 8.

Step 1: 6x – 4 + 4 = 8 + 4( Addition step of equality)

Step 2: 6x + 0 = 12

Step 3: 6x = 12 (Identity property of Addition)

Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction

Step 5: 1x = 2

Step 6: x = 2

The that property justifies Step 3 of his work is known as the identity property of addition.

The identity property of addition can be defined as  when a given number x is added to zero, the result is we obtained x which is the given number itself.

Answer:

B) the identity property of addition

Step-by-step explanation:

EDGE 2020

Answer:

190.8 miles

Step-by-step explanation:

53/5 = 10.6

10.6* 18 = 190.8

Answer:

63 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define Variables

Base b = 14 in

Height h = 9 in

Step 2: Find Area A

Answer:

x = -4

Step-by-step explanation:

3x + 4y = -16

X = 4y

3(4y) +4y = -16

=> 12y + 4y = -16

=> 16y = -16

=> y = -1

3x + 4(-1) = -16

=> 3x -4 = -16

=> 3x = -12

=> x = -4

Hope this helps!      :3

plz mark as brainliest!

Answer: It is indeed -4.

Step-by-step explanation: Refer to the answer above me, they have everything exactly right.

Answer:

c

Step-by-step explanation:

The light travel in two weeks is 1.2700 × [tex]10^1^5[/tex] m/ week

In the given statement is :

The speed of light in a vacuum is about 3.0 x 10^8 m/sec
We know that , Formula of speed i.e.,

Speed = distance / Time

Use dimensional analysis to find the answer:

[tex]3.0[/tex] × [tex]10^8 m/s[/tex] × 60s/min × 60min./ h × 24 h/ day ×7 days/week × 7 days/week

=[tex]3.0[/tex] [tex](60)^2 (24)(7)(7)[/tex] × [tex]10^8[/tex] = 12,700,800 × [tex]10^8[/tex]

= [tex]1.2700[/tex] ×[tex]10^7[/tex]×[tex]10^8[/tex]

= [tex]1.2700[/tex] × [tex]10^7^+^8[/tex]

=  1.2700 × [tex]10^1^5[/tex] m/week

Hence, The light travel in two weeks is 1.2700 × [tex]10^1^5[/tex] m/ week

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Answer:

30 days

Step-by-step explanation:

The above question is solved as shown below:

Working together Team Z and Y can do the same work in 14 days.

1/Team Y + 1/Team Z = 1/14 days

Team Z can do the work in 26 days,

Hence:

1/Team Y + 1/26 days = 1 /14 days

= 1/ Team Y + 1/26 = 1/14

1/Team Y = 1/14 - 1/26

The Lowest Common Denominator = 182

Hence:

1/Team Y = 13 - 7/182

1/Team Y = 6/182

Cross Multiply

Team Y × 6 = 1 × 182

Team Y = 182/6

Team Y = 30.33 days

Approximately to the nearest whole number = 30 days

Therefore, Team Y alone can do the job in 30 days

Answer:

The correct answer is 1.27.

Step-by-step explanation:

Step 1: Turn the mixed numbers into improper fractions.

2 4/5 = 14/5

2 1/5 = 11/5

Step 2: Turn the improper fractions into decimals.

14/5 = 2.8

11/5 = 2.2

Step 3: Divide the fractions.

2.8 ÷ 2.2 = 1.27 when rounded to the nearest hundred.

Hope this helps! :D

The value of 3centimeters to kilometers is 0,00003 km

In order to convert centimeters to kilometers, we will use the conversion factor below.

100cm = 1m

1000m = 1km

Given 3cm

3cm = 3/100 m

3cm = 0.03m

Convert to km

Since 1000m = 1km

0.03m = 0.03/1000

0.03m = 0.00003km

Therefore the value of 3centimeters to kilometers is 0,00003 km

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Answer:

D - Triangle 1, triangle 3, and triangle 4

Answer:

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

4x - 8 = 4x + 10 (subtract 4x on both sides)

-8 = 10

The answer is -8 = 10 No solution

Hope this helps ya!!

Answer:

I think it's b I hope I help

Answer:

2 1/4 cups

Step-by-step explanation:

3/4 times 3 2.1/4

Answer:

2 1/4

Step-by-step explanation:

The line AB and the segments AC and BC form triangle ∆ABC, which gives the measure of m‹2 + m‹3 as following option;

C. 90°; m‹1 + m‹2 + m‹3 = 180°. m‹1 = 90°, so m‹2 + m‹3 = 90°

From the given descriptions, we have;

Lines AB and CD are horizontal lines.

Segment that extends from A to C which is segment AC is a vertical line

Therefore;

m‹BAC = m‹1 = 90°

‹BAC, ‹ABC, and ‹ACB, which are angles 1, 2, and 3 are interior angles of ∆ABC

Which gives;

m‹1 + m‹2 + m‹3 = 180° (sum of interior angles of a triangle theorem)

Therefore;

90° + m‹2 + m‹3 = 180° (substitution property)

m‹2 + m‹3 = 180° - 90° = 90°

m‹2 + m‹3 = 90°

The correct option is therefore;

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Answer:

90

Step-by-step explanation:

Answer:

9/27

Step-by-step explanation:

18/44=9/22

THIS IS AMSWER

Answer:

18/44 simplified is 9/22.

Step-by-step explanation:

Since both of these numbers can be divided evenly by 2, then we can divide them by 2.

18 ÷ 2 = 9

44 ÷ 2 = 22

Since 9 and 22 don't have any like factors, the simplified fraction is 9/22.

Hope this helps! :D

Answer:

it is 5.6 in the blocks

Step-by-step explanation:

41 - 13 = 28

28 divided by 5 is 5.6

hope this helps!

Answer:

92.4

Step-by-step explanation:

50$ + 120% = 110

110 - 20% = 88

88 + 5% = 92.4

The total price of a bench with the 20% discount plus a 5% sales tax is $92.4.

Markup percentage is defined as the total profit of the commodity in terms of percentage. It is calculated by dividing the difference of the selling price and the cost with the cost and then multiply to 100.

Markup Percentage = [(sales price - cost) / cost] × 100

Cost of a bench = $50

There is 120% markup in the bench

Selling price = $50 + ($50 × 120%)

                     = $50 + ($50 × 1.2)

                     = $50 + $60

                     = $110

At the end of the season, owner gives 20% discount.

Price of the bench after 20% discount = $110 - (20% × 110)

                                                                = $110 - (0.2 × 110)

                                                                = $110 - $22

                                                                = $88

There is a sales tax of 5%.

Last selling price of the bench = $88 + (5% × $88)

                                                   = $88 + (0.05 × $88)

                                                   = $88 + $4.4

                                                   = $92.4

Hence, the owner sells the bench at the season at $92.4.

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Answer:$

$3.97

Step-by-step explanation:

Answer:

$3.48+9¢=$3.57

Step-by-step explanation:

i added 48 cents to 9 cents

Answer:

x^2+7

Step-by-step explanation:

[tex]a + 1 > 3[/tex]

Move 1 to another side.

[tex]a > 3 - 1 \\ a > 2[/tex]

Therefore, a>2

Answer:

Step-by-step explanation:

11.

f(-8) = (-3/2)(-8) +11 = (24/2) +11 = 12+11 = 23

12.

g(-2) substitute x by -2 in the g( x) equation

9(-2) = (-2)²-7(-2) = 4 +14 = 18

13.

h(2/3) = | 15 -9(2/3)| = | 15 -(18/3)| = | 15 -6 | = |9| = 9

12.

the zero is at x= -2 because is the intersection of the graph with the x-axis

13.

the zero are at x=1, x= -2, x= -4 because is the intersection of the graph with the x-axis

Answer:

=13x−13

Step-by-step explanation:

Answer:

open the brackets is the first step

Step-by-step explanation:

4x(12 + 8x) -9x( 12+8x) = 36x

48x + 32x^2 -108x -72x^2 =36x

32x^2 - 72^2 + 48x - 36x - 108x = 0

-40x^2 -96x = 0

find x using quadratic formular

Answer: 27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Add 20+7