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creativ13 [48]
2 years ago
14

Paris is 4,000 miles away from Columbus, Ohio. It takes an airplane 8 hours to fly there. What is the speed of the airplane

Mathematics
1 answer:
eimsori [14]2 years ago
5 0

Answer:

500

Step-by-step explanation:

if you take 4,000 miles and divide it by 8 hours, it will give you 500, so that how we figure the speed.

The final answer is 500.

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In front of a store, there is a row of parking spaces. Cars park parallel to one another, with the front of each car facing the
Gelneren [198K]

The width used for the car spaces are taken as a multiples of the width of

the compact car spaces.

Correct response:

  • The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>

Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.

We have;

Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)

New space design = 16·x + 9×(a·x) = x·(16 + 9·a)

When the dimensions of the initial and new arrangement are equal, we have;

10 + 12·a = 16 + 9·a

12·a - 9·a = 16 - 10 = 6

3·a = 6

a = 6 ÷ 3 = 2

a = 2

Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;

10 + 12·a < 16 + 9·a

Which gives;

x·(10 + 12·a) < x·(16 + 9·a)

Therefore;

The initial total car park space is less than the space required for 16

compact spaces and 9 full size spaces, therefore; the store owners are

incorrect.

Learn more about writing expressions here:

brainly.com/question/551090

5 0
2 years ago
Right trapezoid WXYZ is shown. Right trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. Angle W is 73 degrees and angle
Sladkaya [172]

Answer:

∠WXY = 107°

Step-by-step explanation:

In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.

Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

I hope this helps :))

3 0
3 years ago
8. You are paid a commission plus $5.40 per hour with time and a half overtime
Elanso [62]

9514 1404 393

Answer:

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

  $43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

  $3000 × .04 +1115 × .05 = $175.75 . . . commission

  $315.90 +1.75.75 = $491.65 . . . . gross pay for the week

_____

It can be less tedious to let a spreadsheet do the calculations.

6 0
2 years ago
If the sum of a number and six is doubled, the result is eight less than the number
LekaFEV [45]
(x+6)2 = x - 8
give me one moment
8 0
3 years ago
The number of music CDs that Carl has in his collection is four less than triple the number of music CDs that Toni has in her co
grigory [225]
Ok, simple.
Carl has 4 less than triple the amount Toni has.
Toni has x amount of CDs.
Carl has 3x - 4 amount of CDs.

Hope this helps!
6 0
3 years ago
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