Mr. Farris drives 7 1/2 miles directly west of his home to a restaunt.he then drives 8 2/3 miles directly east of the restauant to his office. how far , and in what direction is his office from his home ?

Answers

Answer 1

Answer:

2 1/6

Step-by-step explanation:

8 2/3 - 7 1/2 = 2 1/6

Answer 2

9514 1404 393

Answer:

  1 1/6 miles east of home

Step-by-step explanation:

If we consider east to be positive, then the distance from home to office is ...

  (-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6

Farris's office is 1 1/6 miles east of his home.


Related Questions

Which of the following represents the equation of a line that is parallel to 2y - x = 16 and passes through the
point (-6,1)

Answers

Answer: it could be d

By I’m smart

Step-by-step explanation:

Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)

Answers

Answer:

Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Step-by-step explanation:

1)Formulate the hypothesis that first variance is equal or greater than the second variance

H0: σ₁²≥σ₂²  against the claim  that the first instructor's variance is smaller

 Ha: σ₁²< σ₂²

2) Test Statistic F= s₂²/s₁²

F= 84.8/ 58.9=  1.4397

3)Degrees of Freedom = n1-1= 10-1= 9  and n2 = 10-1= 9

4)Critical value   at 10 % significance level= F(9,9)= 2.4403

5)Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Write an addition problem involving i that results in the simplified expression 5-2i

Answers

Answer:

-5+2i

Step-by-step explanation:

Find the measure of angle BCA.

Answers

Answer:

X=16

Step-by-step explanation:

[tex]9x + 1 + 5x + 12 + 10x - 37 = 360[/tex]

[tex]24x - 24 = 360[/tex]

Add 24 to both sides

24x/24=384/24

[tex]answer = 16[/tex]

hope it helps!!

Triangle DEF has coordinates D (5,2), E (5,-2), and F(-4, 0). Which of the
following statements is true about triangle DEF?*
The triangle has no lines of symmetry.
Both

Answers

Answer:

Well, I don't have further explanation to this question but I know the answer which is: The x-axis is the only line of symmetry

Help will give brainly of aw ser is right

Answers

Answer:

40 is your answer:)

Step-by-step explanation:

4x3= 12

12/2=6

6x4=24

4x4=16

24+16= 40

How much is 24% of 78,000

Answers

Answer: 18,720

Step-by-step explanation:

Let's take this equation

78,000(n)

n will equal 0.24, since we are trying to find 24% of 78,000

78,000(0.24)

18,720

Answer:

18720

Step-by-step explanation:

24/100 × 78,000

=18720

6) A spinner is
divided into 5 sections
lettered A to E. Lena
spins the pointer on
the spinner 25 times.
She records her
results in the table.
Based on these results,
lands on the letter B?
B is 5

Answers

Answer:

1/5

Step-by-step explanation:

there are 5 sections regardless of how many time she rolls it ti does not change the probability of landing on b so it's 1/5

Please need help on this

Answers

If the diameter is 12ft, the area is 113.1ft²

33) 90÷18-18÷6-6÷3=
Preciso de ajudaaaa

Answers

Answer:

67

Step-by-step explanation:

(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

B

Step-by-step explanation:

There is a 1/4 probability of getting an A out of a bag with letter MATH

For B) There are two A's our of 8 letters is ADMIRALS.

2/8 is the same as 1/4

The answer is B

A) is wrong because that 1/6

C) is wrong because that's 1/8

D) is wrong because that's 2/9

Answer:

B

Step-by-step explanation:

Probability of finding A in a word =  number of A / number of letters in that word

Probability of finding A in MATH = 1/4

A. Probability of finding A in BECAME = 1/6

B. Probability of finding A in ADMIRALS = 2/8 = 1/4

C. Probability of finding A in USERNAME  = 1/8

D. Probability of finding A in AFTERMATH = 2/9

So we have a match with option B

Let x2
+ 10x = 6.
What values make an equivalent number sentence after completing the square?

Answers

Answer:

3/5 OR 0.6

Step-by-step explanation:

Which number when multiplied by 3 will result in a number smaller than 3?

A) 1.99 B) 1.5 C) 9/11 D) 1.002

Answers

Answer:

c bc c is a fraction which is smaller than a #

the answer is c.......

Find the value of x

Answers

Answer: x is 13

Step-by-step explanation:

90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)

Answer:

x=13

Step-by-step explanation:

The two angles are complementary, meaning that they both add up to 90°.

So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.

90-67=23

So the equation is equal to 23.

2x-3=23

Add 3 to both sides.

2x=26

Divide both sides by 2.

x = 13

PLEASE ANSWER WITHIN THE NEXT 5 MINUTES!!!!!!! Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take Steven to be at the same place at the same time with kara.

Answers

Step-by-step explanation:

105/30=3.5 hours for steven

105/15=7 hours for Kara.

they would be b at the same place in 7 hours when Kara catches up at 105km lol

Answer:

7 hrs

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

find the length of the unknown side

Answers

Answer:

20

Step-by-step explanation:

15^2 + b^2 = 25^2

help me please ? Ill Mark brainlist

Answers

Answer:

ching song

Step-by-step explanation:

blig blong

Answer:

D. 39000 m

Step-by-step explanation:

13 km * 3 week * 1000 m(=1 km) = 39000m

Can someone help me with this? I am a little confused

Answers

28 .to explain they want to know the missing side and the triangles are equal to each-other just one is projected smaller than the other . So the one with 16 16 and 24 is the smaller one . The difference between 24-16 is 8 . And In the bigger one the sides 20 and 20 where given so since the smaller one is equal to the bigger one you just do 20+8=28

QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!

Answers

Answer:

C) 50

Step-by-step explanation:

50

Answer:

C: 50

Step-by-step explanation:

The inner diamond has congruent sides

Half of the line segment on the left is 25.

The other half of the left line segment is also 25

Together, the left line segment is 50 units

The inner diamond has both 90 degree angles and 18 unit long sides

Thus, we know that both sides are congruent

Finally, the right side is the same length as the left side

The right side is 50 units long

Angles c and d are complementary. If angle c is 2x and angle d is 66, what is the value of x?

Answers

Answer:

x=12

Step-by-step explanation:

Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.

the graph (shown in red) below shows the solution set of which inequality?

Answers

Answer:

I think that is a

Step-by-step explanation:

Q1 (Describe the two eukaryotic animal cell organelles that have roles similar to the organs of the human digestive system)Q2(Describe how proteins are made packaged and transported within the cell) plz help fast

Answers

Step-by-step explanation:

Ans 1

Two eukaryotic animal cell organelles that have roles similar to the organs of the human digestive system are lysosome and mitochondria. ... Mitochondria is like the small intestine, it is responsible for converting the food we eat into nutrients and minerals needed for the cell

Ans2

The Golgi processes proteins made by the endoplasmic reticulum (ER) before sending them out to the cell. ... Proteins must make their way through the stack of intervening cisternae and along the way become modified and packaged for transport to various locations within the cell (Figure 1).

What is the asymptote of this function?
A. X= 3
B. Y= 3
C. X= 4
D. Y= 4

Answers

[tex] \huge \sf \pink{Answer}[/tex]

D. Y=4

[tex] \huge \sf \pink{Reason}[/tex]

Because it is situated on the upper axis,which we called Y-axis.If we count the sequence then the line was on number. 4.

Hence,the answer is number 4.

[tex] \huge \sf \pink{Verification}[/tex]

For verification we mark a point on that line and count the sequence.We will find that it is on 4.

Hence,Verified✔️

Note:For verification u can see attachment

Solve for y: 3d = 7y + 5

Answers

Answer:

d = [tex]\frac{7y+5}{3}[/tex]

Step by step explanation:

3d = 7y+5

Divide both sides by 3

[tex]\frac{3d}{3}[/tex]= [tex]\frac{7y}{3}[/tex]+ [tex]\frac{5}{3}[/tex]

Simplify

[tex]\frac{7y+5}{3}[/tex]

what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q

Answers

Answer:

= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )

I'm pretty much sure that this is correct.

if the nth term of a number sequence is n2-5, find the first 3 terms and the 10th term

Answers

9514 1404 393

Answer:

-4, -1, 495

Step-by-step explanation:

Use n = {1, 2, 3, 10}.

  n^2 -5 = {1, 2, 3, 10}^2 -5 = {1, 4, 9, 100} -5 = {-4, -1, 4, 95}

The first three terms are -4, -1, 4.

The 10th term is 95.

Can somebody help please

Answers

what do you need help with??

A rhombus has a perimeter of 136 inches one diagonal of 60 inches. What is the length of the other diagonal

Answers

Answer:

898,9

Step-by-step explanation:

898,9 is the answer

Will give brainlst
Have a nice day

Answers

The correct answers are A for Q5,
D for Q6, and C for Q7

A
D
C

The Pythagorean Therom is most helpful

A^2 + B^2 = C^2

Does anyone know the answer?

Answers

Step-by-step explanation:

Yes sure.

a. New value of painting=60/100×$550=$330

b. New value of vase=70/100×$395=$276.5

c. New value of clock=180/100×$1175=$2115

d. New value of chair=95/100×$745=$707.75

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