Exits on an interstate are numbered consecutively.
The distance between Exit 5 and Exit 6 is 3.2 miles.
The distance between Exit 6 and Exit 7 is 1.1 miles farther than the distance between Exit 5 and Exit
6.
The distance between Exit 6 and Exit 8 is 2.4 miles farther than the distance between Exit 5 and Exit
7.
The distance between Exit 7 and Exit 8 is
miles.

Answers

Answer 1

9514 1404 393

Answer:

  5.6 miles

Step-by-step explanation:

Let the following distances between exits be defined:

  a = exit 5 to 6

  b = exit 6 to 7

  c = exit 7 to 8

Then the given relations are ...

  a = 3.2

  b = 1.1 +a = 4.3

  (b +c) = 2.4 +(a +b)   ⇒   c = a +2.4 = 5.6

The distance between exits 7 and 8 is 5.6 miles.


Related Questions

PLEASE HELP WITH ALL!!!

Answers

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

each big square below represents one whole. What percent is represented by the shaded area

Answers

Total: 160, Left:100 Right:60

100 OOO 000

- 62431556

Answers

Answer:

37568444

hope this helps

There are 133 students at a small school and 23 of them are freshmen. What fraction of the students are freshmen?

Answers

Answer:

23/133

Step-by-step explanation:

If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.

The total number of freshmen in the school is 23/133


The number of students in the small school is 133


23 out of the 133 students are freshmen


Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133


Fraction of freshmen is 23/133


For more information on fractions please see the link below


https://brainly.com/question/1786030?referrer=searchResults


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A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal places.

Answers

Answer:

the magnitude of the vector is 11.40

Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.

Answers

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,

a. Identify the independent and dependent variables

Answers

Independent variable: x
Dependent variable: y

giải hộ toi bài tập nó khá khó

Answers

Answer:

hhhhhhhhhhhhhhhhhhhh

Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

Hiii, What is the volume of the figure?

Answers

1490
If you split the composite shape into two different shapes, you write down the formula: length x width x height, you get (22 x 13 x 5) + (6 x 5 x 2). Once you solve that, you get the answer of 1490.
17160
Well my opinion might be different, I’m here to help understand what I think about it. I think it’s 17160 because of volume they mean by multiplying all numbers (6x2x5x13x22)= 17160.

SHOW THE GRAPH AS WELL PLEASE
Plot the x- and y-intercepts to graph the equation. y=−12x−3

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( − 6 , 0 )

y-intercept(s):  ( 0 , − 3 )

Use the slope-intercept form  y = m x + b to find the slope  m .

Slope: [tex]m = -\frac{1}{2}[/tex]

Graph in pic

(Credits: Symbolab)

Answer:

pls help

Step-by-step explanation:

Which graph shows a system with one solution?

Answers

Answer: Graph A

Explanation:

A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)

Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.

Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)

The larger trapezoid is dilated form the
smaller trapezoid

Answers

Answer:

are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.

ALGEBRA STUFF IS ANNOYING

Answers

Answer:

A?

Step-by-step explanation:

1.42 as a percentage

Answers

1.42 as a percentage is 142%

Answer:

142%

Step-by-step explanation:

1.42 multiply by 100%? not quite sure

Solve the problems.
A bird is flying at an elevation of 14 feet above the
surface of the water. A fish is swimming the same
distance below the surface of the water.
How can you
represent a location
below the surface of
the water?
a. What number represents the position of the fish
relative to the surface of the water?
b. How does the absolute value of the number
you wrote show that the distances are the
same? Explain.

Answers

Answer:

I believe a is -14

Step-by-step explanation:

its -14 because if it is in the exact same spot below water, think of the water as point 0. the bird is 14 and the fish is -14. Hope this helped

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

6. Bobby makes more money than John

Step-by-step explanation:

John's profits

(4.2 × [tex]10^{5}[/tex]) + (3.2 × [tex]10^{6}[/tex])

= 36.2 x 10^5

= 3.62 x 10^6

Bobby's profits:

323659000 = 3.23659 x 10^8

3.23659 x 10^8 > 3.62 x 10^6

what is the LCD of 3/5, 1/10, 1/2

Answers

The LCD of 3/5 1/10and 1/2 is 10. This is because 10 is the smallest number that 5, 10 and 2 are all divisible by.

hello please help me

Answers

Answer:

perimeter is 9+7.5+6=22.5cmwe know that area is(1/2* base *height)

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour. At what rate does the supermarket distributes samples?​

Answers

Answer:

38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left

a.
Which of the following equations correctly describes how to calculate net income?
net income = (cost of goods sold) - (net sales) - (operating expenses)
b. net income = (operating expenses) - (cost of goods sold) - (net sales)
net income = (operating expenses) + (cost of goods sold) - (net sales)
d. net income = (net sales) - (cost of goods sold) - (operating expenses)
C.
Please select the best answer from the choices provided
Ο Α
B
OD

Answers

Answer:

net income = (cost of goods sold) - (net sales) - (operating expenses)

Step-by-step explanation:

because income is based on sales, thus the cost of how much you got  minus all the expenses must be the net income.

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (60,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.

What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

Answers

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Read more about hyperbolas at:

https://brainly.com/question/15697124

help pls aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

The correct equation is simply just X=3 :)

Answer:

x=3

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1)

m = (8+4)/(3-3) = 12/0 = UD

x = 3

One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?

Answers

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

24. Find the perimeter and area of the triangle below.
базь
2a3b
4ab

Answers

Answer:

Answer to the first part:  8a³b + 4ab

Step-by-step explanation:

Perimeter = distance around the three sides

P = 6a³b + 2a³b + 4ab

P = (6a³b + 2a³b) + 4ab           add like terms

P = 8a³b +4ab                          Simply

The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, By Using Pythagoras theorem to find the base of the triangle as;

a² = 6² - 3²

a ² =  27

a = √27

And, b² = 9² - 3²

b² =  72

b = √72

Hence, Base = √27 + √72

= 13.68

So, We get;

Area = 0.5 x 13.68 x 3

Area = 20.52 cm²  

And, The value of perimeter is,

Perimeter = 9 + 6 + 13.68

= 28.68

Thus, The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

Learn more about the triangle visit;

brainly.com/question/1058720

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(5x+4)-3x
Solve.
No scam.​

Answers

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4

Step-by-step explanation:

Hope fully it is correct

your test is worth 100 points and theres 44 questions how many points is each question worth

Answers

Answer: ~ 2.27 points per question

Step-by-step explanation:

Want points/question.

So, we do 100 points / 44 questions

~ 2.27 points per question

divide 100 and 44
100/44 = 2.27
so the answer is 2.27 :)

18. Dylan's mother tells Dylan he must spend
less time playing electronic games. On
the weekends he spends 9 1/2 hours playing
electronic games. If he plays between 13 and
19 hours each week, how many hours does
he play games on weekdays?


Answers

Answer:

Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.

Step-by-step explanation:

(least estimated amount of hours played each week) 13-9.5=3.5

(highest estimated amount of hours played each week)19-9.5=9.5

If I helped you please let me know with a thank you, rating or brainly

<3Miss Hawaii<3

If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?

Answers

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

Answer:

$806275

Step-by-step explanation:

type it exactly like that, ap*x

Show that (1 + 2V3)2 = 13 +4V3

Answers

Answer:

(1+2V3)^2=13+4V3

<=> 1 +4V3 +12 = 13+4V3

<=> 1 +12 = 13

<=> 13=13

sorry if i wrong :(

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