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Ugo [173]
3 years ago
14

An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents

the solution set that shows the number of passengers, p, that can still load the plane
A) p ≥ 68
B) p ≤ 68
C) p ≤ 78
D) p ≥ 78
Mathematics
2 answers:
o-na [289]3 years ago
8 0

C) p ≤ 78

I got 78 by subtracting 118 by 40. Since we know the maximum is 118 we can't get any higher than 78 so it has to be equal or less than.  

andrew11 [14]3 years ago
8 0

Answer:

C) p ≤ 78

Step-by-step explanation:

so we know the plane has a maximum capacity of 118

and 40 have already been loaded.

118-40= 78

we know it cannot have greater than 78 but it can equal 78

there fore passengers are less than or equal to 78

also shown like this p ≤ 78 or option C

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I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!
Nikolay [14]

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

82^\circ=m\angle 2

\implies82=10x+12

\implies10x=70

\implies\boxed{x=7}

4 0
3 years ago
What is one of the solutions to the following equations? y2+x2=53<br> Y-x=5
Olenka [21]
(1)  y² + x² = 53
(2)  y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

x² + 5x - 14 = 0

x² - 2x+ 7x - 14 = 0

x(x - 2) + 7(x - 2) = 0

(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7

subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3

Answer: x = 2 and y = 7 or x = -7 and y = 3
4 0
3 years ago
29 is what percent of 20?
Vanyuwa [196]
29 percent = 29/100
So 29/100 x 20
= 5.8
4 0
2 years ago
CAN SOMEONE PLEASE HELP ME???
d1i1m1o1n [39]

Answer:

Option D, x = 4

Step-by-step explanation:

Option A:  y = 4 doesn't work because that line would be horizontal

Option B:  y = 4x doesn't work because that would be diagnol

Option C:  x = -4 doesn't work because that would a vertical line at -4

<em>Option D:  x = 4 works because that would a vertical line at 4</em>

<em />

Answer:  Option D, x = 4

6 0
3 years ago
My nephew, Oliver, got a new Lego set. He has decided to build it with his friend, Josie. It took them 6 hours to build together
Usimov [2.4K]

Answer:

4 hours

Step-by-step explanation:

If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.

A simple equation is

6= 4+2

And the 2 would be Oliver since Oliver is half as fast.

7 0
2 years ago
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