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3 years ago

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Mathematics

1 answer:

emmasim [6.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

✔️First, solve for r:

r/2 ≤ 3

Multiply both sides by 2

r/2 × 2 ≤ 3 × 2

r ≤ 6

This implies that possible value of r is equal to 6 or less than 6.

Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.

This indicates that value of r ranges from 6 and below.

The graph is C.

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Matt and Anna Killian are frequent fliers on Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980

Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed) 40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:

speed plane (y) in direction A to B plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360 (1)

The return fly took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440 (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation (1) y + (-x) = 360 y - x = 360 y = 360 + x (1)

In the second equation

y + x = 440 then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x 360 + 2x = 440 or 2x = 440 – 360

x (440 - 360)/2

x = 40 miles/hr

X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1) y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0

3 years ago

A group of individuals were surveyed about their plans for vacation. There were 21 individuals who said they were going to the d

Alexeev081 [22]

Answer:

140 individuals were surveyed

42 people are planning on going to the mountains

Step-by-step explanation:

The question is missing the information regarding the percentage of people who said that they were going to each of the possible destinations. After a quick google search I've found that, in the original question, 32% of individuals were going to the beach, 15% to the desert, 23% to major cities, and 30% to the mountains.

If 21 people said they were going to the desert, and that corresponds to 15% of the total number of people surveyed, the number of people surveyed is:

$21=n*0.15\\n=140\ individuals$

140 individuals were surveyed

Since 30% responded "the mountains", the number of people planning on going to the mountains is:

$m = 140*0.30\\m=42\ people$

42 people are planning on going to the mountains

3 0

3 years ago

Bruce has 150$ and saves 20$ each week. Katie has 200$ and saves 10$ each week. After how many weeks will they have the same amo

NNADVOKAT [17]

None because they will have spent it all on lawsuits

4 0

3 years ago

A survey about the student government program at a school finds the following results:

Serhud [2]

A total of 440 students took part in the survey. Each student makes up 0.8181818182% of the central angle of the circle graph. You get to this number by dividing 360 degrees by 440 students. Then you simply multiply this number by 110 students (who liked the program).

0.8181818182%*110=90 degrees

4 0

3 years ago

louis makes a$15 [er hour working at the mall. which equation represents the total amout of money, d, louis makes in h hours?

emmainna [20.7K]

Answer:

15H = D

Step-by-step explanation:

Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:

15H = D

So, for example, if Louis worked 10 hours, the equation would operate as follows:

15 x 10 = D

150 = D

3 0

2 years ago