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Brilliant_brown [7]
2 years ago
13

The total amount of weight on an airplane cannot exceed 2,500 pounds. The plane is carrying 1,750 pounds of luggage. The average

weight of each passenger on the plane is 150 pounds. Set up and solve an inequality to find the number of passengers, p, the plane could carry.
Mathematics
1 answer:
fiasKO [112]2 years ago
4 0
1,750 + 150x  ≤ 2,500

150x≤2500-1750
150x ≤ 750
x ≤ 5

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What do diffraction and refraction have
nignag [31]

Answer:

They are both due to the wave nature of light.

4 0
3 years ago
A magnet school program was set up to bring in students from all over the city. With the first 112 students, the magnet program
Galina-37 [17]

Answer

Find out the percentage of students from the north side of the city in the program .

To prove

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A magnet school program was set up to bring in students from all over the city. With the first 112 students .

the magnet program had 50% from the south side of town, 12.5% from the north side l, and 37.5% from the east side.

12 .5 % is written in the decimal form.

= \frac{12.5}{100}

= 0.125

North side student be = 0.125 × 112

                                     = 14

As given

If 6 more student from the north side and 2 students from the west side side enrolled in the program .

than north side student becomes = 14 + 6

                                                        = 20

Total number of student becomes = 112 + 6 + 2

                                                         = 120

put in the above formula

Percentage =\frac{20\times100}{120}

Percentage =\frac{2000}{120}

                          = 16.66% (approx)

Therefore  16.66% (approx) students from the north side of the city in the program .


4 0
3 years ago
Bob traveled 90 miles which was 83 1 3 % of his trip.<br> a<br> How long was the trip?
loris [4]

Total journey of bob was 108 miles .

<u>Step-by-step explanation:</u>

Here we have , Bob traveled 90 miles which was 83 1 3 % of his trip. We need to find How long was the trip .Let's find out:

According to question , Bob has traveled a distance of :

⇒ Distance = 90miles

Which is 83\frac{1}{3}\% of his journey . So , Let total  miles be x , So we have following equation framed according to question as :

⇒ \frac{83\frac{1}{3} x}{100} =90

⇒ \frac{83\frac{1}{3} x}{100}(100) =90(100)

⇒ \frac{83(3)+1}{3} x=90(100)

⇒ \frac{250}{3} x=9000

⇒ x=9000(\frac{3}{250} )

⇒ x=108miles

Therefore , Total journey of bob was 108 miles .

5 0
2 years ago
A cylinder has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder
goldenfox [79]
To work out the surface are you do :

SA= 2 π r h + 2 π r squared
8 0
3 years ago
Read 2 more answers
Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 ​ start fraction, 7, divided by, 12, end fraction of an
charle [14.2K]

Answer:

45/7 rounds

6 3/7 rounds

Step-by-step explanation:

Here is the full question

Nicole is playing a video game where each round lasts 7/12 ​ fraction of an hour. She has scheduled 3 3/4 fraction hours to play the game. How many rounds can Nicole play? rounds

Number of rounds she can play = total time she has scheduled / length of each round

length of each round = 7/12

total time she has scheduled = 3 3/4

3 3/4  ÷ 7/12

3 3/4 x 12/7

convert to the total time scheduled to an improper fraction

to convert to improper fraction, take the following steps :

  1. Multiply the whole number (3) by the denominator (4) = 3x 4 = 12
  2. Add the numerator to the answer gotten in the previous step = 14 + 3 = 15
  3. divide the number gotten in the previous step by the denominator = 15/4

\frac{15}{4} × \frac{12}{7} = \frac{45}{7} rounds or 6\frac{3}{7} rounds

7 0
3 years ago
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