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professor190 [17]

3 years ago

5

During the spring carwash the activities club washed 14 fewer cars then during the summer car wash. They wash a total of 96 cars

during both carwashes. How many cars did they wash during spring?

1 answer:

crimeas [40]3 years ago

6 0

If you subtract 14 from the total of 96, then you get 82. Take half of 82, and you get the number of cars washed in spring: 41!

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What is the median of 98, 93, 89, 89, 76

Alex777 [14]

Put all of the numbers in order from least to greatest. 76, 89, 89, 93, 98. The number in the middle of this list is the median. The mediuan is 89.

3 0

3 years ago

Which equation results from taking the square root of both sides of (x – 9)2 = 81?

seropon [69]

<span>In the question "Which equation results from taking the square root of both sides of (x – 9)2 = 81?" The correct answer is x - 9 = +/- 9. Taking the square root of both sides of the equation (x - 9)^2 = 81 will give: sqrt(x - 9)^2 = sqrt(81) x - 9 = +/- 9 Solving the equation results in two equation: x - 9 = 9 and x - 9 = -9 x = 9 + 9 and x = -9 + 9 x = 18 and x = 0</span>

8 0

4 years ago

Read 3 more answers

Can someone help me please

alexandr402 [8]

Answer:

y = x + 2

Step-by-step explanation:

You can find the slant asymptote using polynomial long division because the numerator is one degree higher than the denominator.

(x^2+x+4)/(x-1)

I'm not sure how to show long division but you should get:

x+2 with remainder 6

Then your slant asymptote is y = x + 2

You can graph it on Desmos to verify

8 0

2 years ago

4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?

Alexeev081 [22]

Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units

Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59

Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41

Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.

4 0

4 years ago

The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. What is the measure of the smallest

kipiarov [429]

Answer:

Look to the explanation

Step-by-step explanation:

*<em> Lets explain how to solve the problem</em>

- The consecutive integers are the integers after each other like

1 , 2 , 3 , ......

- The rule of the sum of the interior angles of any polygon is:

(n - 2) × 180° , where n is the number of the sides of the polygon

- The sum of the interior angles of a hexagon is equal to the sum of

six consecutive integers

* <em>Lets find the sum of the interior angle of the hexagon</em>

∵ The hexagon has 6 sides

∴ n = 6

∴ The sum of its interior angles = (6 - 2) × 180° = 720°

* <em>Lets find the sum of six consecutive integers</em>

- Assume that the smallest integer is x

∴ The numbers are x , x + 1 , x + 2 , x + 3 , x + 4 , x + 5

∵ Their sum = x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5)

- Add like terms

∴ Their sum = 6x + 15

- Equate the sum of the 6 numbers by the sum of the angles of

the hexagon

∴ 6x + 15 = 720

- Subtract 15 from both sides

∴ 6x = 705

- Divide both sides by 6

∴ x = 117.5

- But 117 .5 not integer

∴ The sum of the interior angles of a hexagon can not equal the

sum of six consecutive integers

- But it can be if the numbers are consecutive odd integers

because the consecutive odd numbers are

x , x + 2 , x + 4 , x + 6 , x + 8 , x + 10

∴ Their sum = 6x + 30

∵ 6x + 30 = 720

- Subtract 30 from both sides

∴ 6x = 690

- Divide both sides by 6

∵ x = 115

∵ x represents the measure of the smallest angle

∴ The measure of the smallest interior angle of the hexagon is 115°

7 0

4 years ago