Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles

Answers

Answer 1

Answer:  35 miles, but this is not an answer option.

Step-by-step explanation:

A   X   B       C

AC = 41 miles

BC = 2AB + 2  

AX = 6

AX + XC = 41        [This is the key equation.  We want XC and AX is given as 6]

6 + XC = 41          

XC = 35 miles

None of the answer options show this value.

I don't know why, since:

a.  "the distance from A to C is 41 miles." means AC = 41, and

b.  "Town X is between A and B, 6 miles from A" means AX = 6

If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35

I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.


Related Questions

You make ​$85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k​ plan, up to ​%5 of your salary. If you contribute ​$300
every month to your​ 401k, what will your company contribute each​ month?

Answers

Answer:

$150 each month

Step-by-step explanation:

divide 300 in half because they contribute 50¢ per dollar

During the 2005 football season,team tackle beat team sack by 10 points. If their combinded scores totaled 36 find the individual team scores

Answers

Answer:

Step-by-step explanation:

t = tackle score

s = sack score

t = s + 10

t + s = 36

s + 10 + s = 36

2s = 26

s = 13 points

t = 13 + 10 = 23 points

can someone help me with this and also happy thanksgiving if you celebrate it

Answers

My ans is C

24 - 6x + 40 = 34

24+40 - 6x = 34

64 - 6x = 34

6x = 64-34

6x = 30

x = 5 ^^

A local hamburger shop sold a combined total of 637 hamburgers and cheeseburgers on Wednesday. There were 63 fewer cheeseburger sold than burgers. How many hamburgers were sold on Wednesday?

Answers

X + x-63=637
2x=700
X=350
Burgers=350
Cheeseburgers=350-63
Cheeseburger=287

PLEASE HELP!
Jim wants to build a rectangular parking lot along a busy street but only has 1,800 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.

Answers

The largest area would be a square shape.

A square has 4 equal sides:

1800/4 = 450

Now because the street side doesn't have fencing, add that side length to one side of the fencing:

450 +450 = 900

Now the fence would have two widths of 450 feet and one length of 900 feet.

Area = length x width = 450 x 900 = 405,000 square feet.

Time went scuba diving and descended at a rate of 35 feet every 20 min. If Tim was diving from 11:00AM to 12:00PM. What was Tim's altitude at 11:40AM?

Answers

Answer:

70 feet

Step-by-step explanation:

35 x 2 = 70

What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.

Answers

Answer:

The unknown value is being subtracted from 702 is 650

Step-by-step explanation:

Long division setup showing an incomplete calculation

13 is in the divisor

3302 is in the dividend

2 hundreds and 5 tens is written in the quotient

2600 is subtracted from 3302 to give 702

An unknown value represented by a box is being subtracted from 702

We need to find this number

Lets write the steps above

∵ The dividend = 3302

∵ The divisor = 13

- 2 hundreds means 200 and 5 tens means 50

∵ The quotient = 200 + 50 + x

∵ Dividend = divisor × quotient

∴ (13 × 200) + (13 × 50) + (13 × x) = 3302

∵ 13 × 200 = 2600

- Subtract 2600 from the dividend

∴ 3302 - 2600 = 702

∵ 13 × 50 = 650

∴ 702 - 650 = 52 ⇒ 650 is the unknown value

∵ 13 × x = 13x

∵ 52 - 13x = 0

- Add 13 x to both sides

∴ 52 = 13x

- Divide both sides by 13

∴ x = 4

∴ 3302 ÷ 13 = 200 + 50 + 4

∴ 3302 ÷ 13 = 254

∴ From the steps above the missing number subtracted from

  702 is 650

Joe is a photographer . For every 15 rolls of film he shoots, 10 are black and white. If Joe uses 57 rolls of film, how many rolls are in black and white?​

Answers

Answer:

38 black and white rolls.

Step-by-step explanation:

15 rolls = 10 black and white

57 rolls = 57 divided by 15 multiplied by 10

57 rolls = 3.8 x 10 Leaving 38 Therefore there will be a total of 38 black and white rolls.

A school has 320 girls and 250 boys
The probability that a girl is left handed is 0.2
The probability that a boy is left handed is 0.1
Estimate the umber of left handed students in the school.

Answers

320/100 • 20 = 64
250/100 • 10 = 25
64+25= 89 <33

Add and simplify. 2 3\8 + 9 1\8 =

Answers

Answer:

11 1/2

Step-by-step explanation:

So we fist should add 9 and 2 which is 11 then we should add 3/8 and 1/8 which is 4/8, which is equal to 1/2. So the answer is 11 1/2

link is in the comments!

PLEASE HELP!

Answers

Answer:

How can I help you?

The table gives the temperature (in °F) in five citiesſat 6 a.m. on the same day. Use the table to answer the questions.
City
Temperature
(°F)
Toronto
-16
Fairbanks
:-24
Dayton

43
San Antonio
74
Buffalo
-3
5
?
(a) By noon, the temperature in Buffalo had risen by 10 °F.
What was the temperature there
at noon
How much higher was the 6 am temperature in Toronto than in Fairbanks

Answers

Answer:

a) buffalo will be at 7

b) it will be -8

Step-by-step explanation:

a) because if u add - 3 + 10 it will equal 7

b) reason why is because if u substract -24 from - 16 it will be - 8

I took a test on the same thing thats why i kno it

4(-8x+5)-(-33x-26)=[tex]4(-8x+5)-(-33x-26)=[/tex]

Answers

Answer:

4(-8x+5) - (-33x-26)

-32x+20+33x-26

collect like terms

-32x+33x+20-26

=x-6

Step-by-step explanation:

x-6

hiiii i need help with this word problem :)

Answers

Answer:

A= adult tickets, C=children tickets, S=senior tickets

A-10=C; C+10=A

4C=S

4C+6S+10A=1240, but S=4C and C=A-10

4C+24C+10C+100=1240

38C=1140

C=30 children tickets and $120

A=C+10=40 adult tickets and $400

4C=S=120 senior tickets and $720

$120+$400+$720= $1240.

Help !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

One must rearrange the function to decreasing value of exponents

f(x) = -7x⁴ + 8x³ - 3x² - 9x + 11

to see that it is a 4th degree polynomial with leading coefficient of -7

Can someone explain the distributive property to me in simple terms? Thanks

Answers

Answer:

Im not sure

Step-by-step explanation:

Solve the equation.
2x - 3 + 4x = 21
A)x = -12
B)x= -6
C)x= 4
D)x = 6

Answers

Answer:

C. X=4

Step-by-step explanation:

The difference of x and 8 is at least - 17.
I need helppp

Answers

Answer:

x - 8 < -17

8. 8

x > -9

Step-by-step explanation:

make sure to put a Line under the sign srry

(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?

Use the table to answer:

Answers

Answer:

of which class is it ?

Step-by-step explanation:

???????.................

What must the value of B be if the following linear system has an infinite number of solutions
Y = -3x + 6
By- 9x + 18 = 0​

Answers

Condition for infinite number of solutions (coincident lines) :-

=》a₁/a₂ = b₁/b₂ = c₁/c₂

Equations :-

1) y = -3x + 6

=》y + 3x - 6 = 0

2) By - 9x + 18 = 0

Here,

a₁ = 1, a₂ = B

b₁ = 3, b₂ = -9

c₁ = -6, c₂ = 18

Now substitute..

a₁/a₂ = b₁/b₂ = c₁/c₂

=》1/B = 3/-9 = -6/18

=》1/B = -3/9 = -6/18

Now,

=》a₁/a₂ = b₁/b₂

=》1/B = -3/9 (cross multiplication)

=》1 × 9 = -3B

=》9 = -3B

=》9/-3 = B

=》-3 = B

OR

=》a₁/a₂ = c₁/c₂

=》1/B = -6/18 (cross multiplication)

=》1 × 18 = -6B

=》 18 = -6B

=》18/-6 = B

=》-3 = B

The value of B if the following linear system has an infinite number of solutions is -3.

_______

RainbowSalt2222 ☔

During the summer, many homeowners struggle to keep ant's out of their homes. In a specific
kitchen, the population of a colony of ants is given by
P(t) = 42(1.168)
where P(t) is the populationand t is the number of days after June 1st.
(a)What is the daily growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(b)What is the continuous growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(c)When will the population reach 500 ants? Use an algebraic solving process to show
that it will take 15.95 days to reach 500 ants.

Answers

hiiiiiiiiiiiiiiiiiiiiiiiii

A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak

Answers

Answer:

50% decrease

Step-by-step explanation:

130-65 = 65

65/130 = 0.5

0.5 x 100 = 50

The discount was 50% off

4. At an Internet store, a laptop computer costs $724.99. At a local store, the same computer costs $879.95. What is the difference in prices?

Answers

Answer:

$154.96

Step-by-step explanation:

difference means to subtract so 879.95-724.99=154.96

help ??? on edu math review

Answers

Answer:

It must be C.

Step-by-step explanation:

x² - 9 = 16

=> 16 + 9 = x²

=> 25 = x²

=> x = 5

Referring to the options, C is the only one that is accurate to me. Hoped this helped.

The answer for that one is B

biografía completa de Pitágoras​

Answers

Answer:

hiiiiiiiiiíiiiiiiiiiii

Find the slope of the line that passes through:
(-12,-5) and (0, -8)

Answers

-3/12 because you can find the slope/m by doing the change of y over change of x

Which expression can be placed on the right side of the equals sign to form an equation. 2+33=

Answers

Answer:

7x.

Step-by-step explanation:

2 + 33 = 7x

35 = 7x

Solution is x = 5.

Answer: 5² + 4

Step-by-step explanation:

Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)

Answers

Answer: C

Step-by-step explanation:

Hope it help

You accelerate from 5m/s to 60m/s in 11 seconds what is the average acceleration.

Answers

Change in acceleration: 60 - 5 = 55 m/s

Average acceleration = 55 m/s / 11 second = 5 meters per second squared ( m/s^2)

Answer: 5 m/s^2

need help with identiifying slope thing i sent

Answers

The correct option is B.. l hope it helped :)

Answer:

The slope is -5 and the y intercept is (0,4)

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -5x+4

The slope is -5 and the y intercept is (0,4)

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