Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked 5 miles. Sarah said she hiked 11 miles.
Who is correct and why?
A. Sam is correct because |3 – 8| = 5.
B. Sam is correct because |–3 – 8| = 5.
C. Sarah is correct because |–3 + 8| = 11.
D. Sarah is correct because |–3 – 8| = 11.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

We can assume that the rim of the canyon is 0. Sarah started 3 miles below, so -3, BUT distance can never be negative, so it's considered 3 miles. Then, she went 8 miles above zero. So the 3 miles she went before reaching the rim plus the 8 miles she went after reaching the rim equals 11 miles.

So now we know that Sarah is right, but how do we know which equation is correct? Well, if we look at option C:

[tex]|-3+8|=11[/tex]

When solving absolute value, we solve everything within the absolute value before applying the absolute value. This means that we add -3+8 first, which equals 5, and then apply absolute value, which still equals 5. This equation is not correct.

I hope this helps!

Answer 2

Answer:

The answer is D

Step-by-step explanation:

I took the quiz.


Related Questions

11.6.21 You randomly select one card from 52-card deck Find the probability of selecting the jack of diamonds or the ace of clubs. The probabilitiy is . An integer a fractionSimplify your answer.)

Answers

Answer: 1/26

Step-by-step explanation:

Out of the 52 card deck there is a single Jack of diamonds and a single ace of clubs. Their individual probabilities are therefore both 1/52.

For the probability that you can pick either of those card you have to add up their probabilities;

= 1/52 + 1/52

= 2/52

= 1/26

A drawer contains 23 black socks comma 23 white socks comma and 23 blue socks23 black socks, 23 white socks, and 23 blue socks. If the light is off and Matt reaches into the drawer to get his​ socks, what is the minimum number of socks he must pull out in order to be sure that he has a matching​ pair?

Answers

Answer:

1/3 × 6 = 2

Step-by-step explanation:

Probability of picking out a color is

23/138 + 23/138 = 46/138 = 23/69 = 1/3

What is the speed of a car that traveled a total of 90 km in 2 hours

Answers

Answer:

45 km per hour

Step-by-step explanation:

assuming the car maintains the same speed for the entire travel the speed would be 45 km per hour

Write the equation of the line with a slope = -4/3 through the point (6,-1)

Answers

Answer:

oh well

Step-by-step explanation:

x squared = 4x squared -75

Answers

X^2 = 4x^2 - 75
-3x^2 = -75
X^2 = 25
X = -5, 5

If one gallon is equal to eight pints, how many pints are in four gallons and two pints?

Answers

Answer:   36

Step-by-step explanation:

Choose the triangle in which angle 2 is not an exterior angle.
A line extends from a side of the triangle to form angle 2.
A line extends from a side of the triangle to form angle 2.
A line does not extend from a side of a triangle to form angle 2.
A line extends from a side of the triangle to form angle 2.

Answers

Answer:

its C got it on E2020

Step-by-step explanation:

A line does not extend from a side of a triangle to form angle 2. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

Choose the triangle in which angle 2 is not an exterior angle.

The external angle can be made when the line is extended and the angle is formed outside the triangle, which is known as the exterior angle.

A line does not extend from a side of a triangle to form angle 2. Then the correct option is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ6

In the function f(x)=2x+5, f(11)=___?

A 27
B 22
C 18
D 11​

Answers

Answer:

A

Step-by-step explanation:

We have the function:

[tex]f(x)=2x+5[/tex]

And we want to find f(11).

So, we can substitute 11 for our function and evaluate. Therefore:

[tex]f(11)=2(11)+5[/tex]

Evaluate:

[tex]f(11)=22+5=27[/tex]

Hence, our answer is A.

Please help in taking a test and don’t have much time

Answers

Answer:

115

Step-by-step explanation:

115..........................

a babysitter charges 9 dollars each hour she works plus a travel allowance of 5 dollars for each job. write an equation that relates the number of hours. the babysitter worked at a job for which she charged 77 dollars. how many hours did she work?​

Answers

Answer:

y=9x +5  , 8 hours

Step-by-step explanation:

9 dollars per hour = 9x

travel allowance = 5

y = 9x + 5

77 = 9x + 5

77 = 9x +5

-5          -5

-----------------

72= 9x

72/9 = x

x= 8

Given x:y:z = 7:2:5 and the value of
x - z =18. Find the value of x+y+z.
Diberi x:y:z = 7:2:5 dan nilai x - 2 =18.
Cari nilai bagi x+y+z
A 14
B. 126
C. 210
D. 232​

Answers

Answer:

x + y + z = 123

Step-by-step explanation:

x:y:z = 7:2:5

Let x = 7a, y = 2a, z = 5a

Since x - z = 18

Therefore,

7a - 5a = 18

2a + 18

a = 18/2

a = 9

7a = 7*9 = 63

2a = 2*9= 15

5a = 5*9 = 45

x + y + z = 63 + 15 + 45

x + y + z = 123

Write the point-slope form of the equation of the line through the point (3,-5) with a slope of -4/3.

Answers

Answer:

Step-by-step explanation:

y + 5 = -4/3(x - 3)

y + 5 = -4/3x + 1

y = -4/3x - 4

4x +5y =24
2x+7y=21​

Answers

Use elimination
Multiply second equation by 2
4x + 14y = 42
4x + 5y = 24
Now subtract both
9y = 18
Y = 2
Plug 2 into equation to solve for x
4x + 5(2) = 24
4x = 14
x = 3.5, y = 2

Answer:

x = 3.5, y = 2

Step-by-step explanation:

This is a system of equations.

Original equations:

[tex]4x+5y=24\\3x+7y=21[/tex]

Substitute y and solve for x:

[tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]

Substitute the value for y and simplify:

[tex]2x+\frac{7(24-4x)}{5} =21[/tex]

[tex]2x + \frac{(168 - 28x)}{5}=21[/tex]

Multiply by 5 on both sides

[tex]10x + 168-28x = 105[/tex]

Simplify [tex]-18x = -63[/tex]

[tex]x = 3.5[/tex]

Plug in the value for x into either equation:

→ [tex]4*3.5 + 5y=24[/tex]

→ [tex]14+5y=24[/tex]

→ [tex]5y=10[/tex]

→ [tex]y=2[/tex]

The side of a square flower bed is 1m 80cm. It is enlarged by digging a strip 20cm wide all around it. find. a) the area of the enlarged flower bed b) the increase in the area of the flower bed.​

Answers

Answer:a)40,000 b) 7600cm2

Step-by-step explanation:

The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction.

Answers

Answer:

r = c/2pi

Step-by-step

c= pi*d

d=2r

c = 2*r*pi

Answer:

r=8

Step-by-step explanation:

The answer is r8 for anyone looking. (e2020)

Which table represents the second piece of the function f(x) = StartLayout enlarged left-brace 1st Row 1st column negative 3.5 x + 0.5, 2nd column x less-than 1 2nd row 1st column 8 minus 2 x, 2nd column x greater-than-or-equal-to 1 EndLayout?

Answers

Answer:

C

Step-by-step explanation:

Third table  represents the second piece of the function f(x)

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given function is given by -3.5x+0.5, x<1 and 8-2x≥1

The second piece of the function f(x) is 8-2x ,x≥1

Now, we substitute some values of x and find the corresponding function values and check which table satisfy the points.

For x = 1

f(1)=8-2(1)=6

f(1)=6

For x = 2

f(2)=8-2(2)=4

f(2)=4

For x = 3

f(3)=8-2(3)=2

f(3)=2

Among the given tables, third tables contains these values.

Hence, Third table  represents the second piece of the function f(x)

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Marissa bought 4 cans of corn and 8 cans of green beans for a total of $7.00. Bob bought 8 cans of corn and 7 cans of green beans for a total of $8.60. Determine how much each can green beans cost.

Answers

Step-by-step explanation:

1 can of corn = c

1 can of green beans = b

Marissa-> 4c+8b=7

Bob-> 8c+7b=8.60

form a simultaneous equation:

4c+8b=7

8c+7b=8.60

find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn

8c+16b=14

8c+7b=8.60

now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:

16b-7b=9b

14-8.60= 5.4

so, 9b=5.4, and b= 0.6

so 1 can of green beans would cost $0.60

I need help with this question please

Answers

Answer:

..................

Step-by-step explanation:

x=13.........

Read this excerpt from "Birdfoot's Grampa.”

The old man
must have stopped our car
two dozen times to climb out
and gather into his hands
the small toads blinded
by our lights and leaping,
live drops of rain.

What are readers most likely to infer from the phrase "leaping, live drops of rain”?

The toads are all hurt.
The toads are still alive.
The toads are in shock.
The toads are not moving.

Answers

The toads are still alive

Answer:

The toads are in shock

Step-by-step explanation:

HELPPP
Solve the equation
log (2x-3)=2

Answers

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

Vivian earned $540 last month. She saved 30% of this money. How much did she save?

Answers

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

I NEED HELP ASAP PLEASE

Answers

Answer:

Step-by-step explanation:

Yo when you get these kind of questions you can use desmos calculator, for the future.

Max scored 71 and 65 on his first
two tests in Biology 101. What is the
lowest he must score on the third
test to get an average for the
three tests above 77?

Answers

Answer:

Step-by-step explanation:

If he scored 71 and 65 and needs an average above 77, you took the average needed of 77 and times by 3 since you will have 3 test total. 3*77=231. Take the 231- what you already have which is 136, to get 95. He will need a score of at least 95 to average the 77. 71+65+95=231 231/3= 77

So, x≥95. X is the next test. It would need to be greater than or equal to 95.

Multiply
6 2/3 * 3 6/7

Answers

Answer:

180/7 or 25 5/7

Step-by-step explanation:

20/3 * 27/7

cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.

So the answer come out.

180/7 or 25 5/7

What is the answer for this?​

Answers

Answer:

The general formula for nth term of given sequence is:

[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]

Step-by-step explanation:

Given sequence is:

54,18,6.....

In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.

[tex]Here\\a_1 = 54\\a_2 = 18\\a_3 = 6\\And\\r = \frac{a_2}{a_1} = \frac{18}{54} = \frac{1}{3} \\r = \frac{a_3}{a_2} = \frac{6}{18} = \frac{1}{3}[/tex]

The general formula is:

[tex]G_n = A_1 (r)^{n-1}[/tex]

Putting the values of a1 and r

[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]

Hence,

The general formula for nth term of given sequence is:

[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]

help please! does the graph represent a function?

Answers

Answer:

maybe

Step-by-step explanation:

l o l

XD

No it does not !!!!!!!!!!

2(4s-16)-5s=-5 What is S equal?

Answers

Answer:

S=9

Step-by-step explanation:

Answer:

s=9

Step-by-step explanation:

3s-32=-5

3s-32+32=-5+32

3s=27

3s/3 = 27/3

s = 9

A submarine was at -9 meters. Three times it went down sub 20 meters. Finally, it went up 25 meters. Where is the submarine now? Solve and show work.

Answers

Answer:

-4 meters

Step-by-step explanation:

-9 - 20 meters (went down)

= -29 meters

-29+25 meters (went up)

= -4 meters

Hope this helped!

Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.

This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.

Which text feature would best help readers understand important details in this excerpt?

a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building

Answers

Answer:

B. a picture of Knife Edge Mirror Two Piece

Step-by-step explanation:

pls give brainliest, u don't have to

Did it on edge, hope u have a good day :)

Answer:

b

Step-by-step explanation:

2 of 5
There are 6 times as many females as
males on the maths course at
university. What fraction of the course
are male?
Give your answer in its simplest form.

Answers

Answer:

M + F = total

6F + F = total

7F = total

F = (1/7) total

Explanation:

You can look at this as a ratio also.

The ratio of females to males is 1:6

That means out of every 7 students,

1 is female and 6 are male.  

1 out of 7 is 1/7

Hope this helps!

please tell me if it does help.

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