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MatroZZZ [7]
3 years ago
6

2. Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, ho

w wide is the actual stage? Enter your answer with units.
3. Mei is on a biking tour of Europe. While looking at a map of the tour route, she notices that the next two stops are 9 centimeters apart. What is the actual distance between the next two stops if the scale of the map is 3 centimeters = 8 kilometers? Enter your answer with units.

4. Bella is river rafting in Lewis County. The starting and ending points of the trip are 4 inches apart on a map of the river. In real life, these two points are 36 miles away from each other. What is the scale of the map?
1 inch : _____ miles

5. Brett made a scale drawing of an Italian restaurant. The restaurant's kitchen is 3 centimeters long in the drawing. The actual kitchen is 21 meters long. What scale did Brett use for the drawing?
1 centimeter : ____ meters
Mathematics
1 answer:
maksim [4K]3 years ago
6 0

2. The scale is 3 inches = 2 feet.

Divide total inches by 3, then multiply by 2:

30 / 3 = 10

10*2 = 20 feet.

3. Divide the 9cm by 3cm, then multiply by 8 km

9/3 = 3

3*8 = 24 kilometers.

4. Divide real distance by distance on map:

36 / 4 = 9

1 inch = 9 miles

5. Divide real dimension by the drawing dimension:

21 meters / 3 centimeters = 7

1 cm = 7 meters

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5 1/4 divided by 16.9 is 0.31
8 0
3 years ago
Solve. Write the solution in interval notation. -2x>-8 and -5x<20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

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- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

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∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

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∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the
Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

  • a +b +c = 26
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  • -3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

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3 years ago
Convert 8/15 into a decimal : show your work
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The answer would be 6 exteriors.
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