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Mrac [35]
1 year ago
7

1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?d=rt Time Distance 1 hour 120 mil

es 3 hours d
Mathematics
1 answer:
Feliz [49]1 year ago
5 0

Distance = speed rate x time

Speed rate = 120 miles per hour

Time = 3 hours

Replacing:

D = 120 mph x 3 h = 360 miles

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9. The sum of two numbers is 25 and whose product is 156. find the two numbers.​
lord [1]

Answer:

x = 12

y = 13

Step-by-step explanation:

Let's assume the two numbers as x and y.

The sum of the two numbers is 25

So,

  • x+y = 25
  • y = 25 - x

The product of the two numbers is 156

  • xy = 156
  • x(25 - x) = 156
  • 25x - x² = 156
  • x² - 25x + 156 = 0
  • x² - 13x - 12x - 156 = 0
  • (x - 12) • (x - 13) = 0
  • x - 13 = 0
  • x = 13
  • x - 12 = 0
  • x = 12

Hence, the two numbers are 13 and 12.

4 0
3 years ago
Read 2 more answers
An airline knows that on average about 5 percent of the people who make reservations on a certain flight will not show up. Conse
kolbaska11 [484]

Answer:

Probability that there will be a seat available for every passenger who shows up is 50/50 or 49/50

Step-by-step explanation:

Since it is known that 5percent of people who make reservations would not show up.

Therefore 5% of 52 sold ticket is

5/100 x 52 = 2.6

That is 2 or 3 people who make reservations would not show up.

Which means 52 - 2 or 52 - 3 people would show up

50 or 49 people would show up

Since the flight can hold just 50 people

The probability that everyone that shows up would have a seat is therefore =

50/ 50 or 49/50

8 0
3 years ago
How do I find the volume of the cylinder round to the nearest hundredths ​
Zigmanuir [339]

Answer:

Volume = 502.65 cm³

Step-by-step explanation:

V= 3.14×4²×10 = 502.65 cm³

8 0
3 years ago
I have to find the angle measurements of a interior triangle a is 4x b is 7x-2 and c is 5x-10
RSB [31]

Answer:

m\angle a=48^o\\m\angle b=82^o\\m\angle c=50^o

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle a+m\angle b+m\angle c=180^o

substitute the given values

4x^o+(7x-2)^o+(5x-10)^o=180^o

solve for x

(16x-12)^o=180^o

16x=180+12\\16x=192\\x=12

Find the angle measurements

m\angle a=4(12)=48^o

m\angle b=7(12)-2=82^o

m\angle c=5(12)-10)=50^o

5 0
3 years ago
Orlando buys a shirt for $15 and a pair of jeans for $32.50. If the sales tax is 8%, what is the total price Orlando pays for th
scoray [572]
$15 + $32.50 + 8% = $51.30

15 + 32.50 = 47.50

8% × 47.50 = 3.80

47.50 + 3.80 = 51.30
5 0
3 years ago
Read 2 more answers
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