MATHEMATICS HIGH SCHOOL

Suppose you are traveling straight from Los Angeles, California to Albuquerque, New Mexico, stopping overnight in Flagstaff, Arizona. The distance from L.A. to Albuquerque is 810 miles, and the road connecting the three cities is a straight line. If the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque, how far is L.A. from Flagstaff, and how far is Flagstaff from Albuquerque?

Answers

Answer 1
Answer: We are given with three points: A is to Los Angeles, California, B is to Flagstaff, Arizona and C is to Albuquerque, New Mexico. We translate the statements: 
AB is 120 + xBC is xAC is 810
Thus, 
120 + x + x = 810x = 345 miles (B to C)120 + x = 465 miles   (A to B)
Answer 2
Answer:

Answer:

Albuquerque is 345 miles away from Flagstaff.

Step-by-step explanation:

We are given three cities:

  • Los Angeles, California(L.A.)
  • Flagstaff,Arizona
  • Albuquerque, New Mexico

The journey took place as:

L.A.--to-----Flagstaff-----to-----Albuquerque.

The distance between L.A. to Albuquerque is 810 miles.

Let the distance between Flagstaff to Albuquerque be 'x' miles.

Also we are given that the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque.

i.e. distance from  L.A. to Flagstaff is 120+x.

therefore, 120+x+x=810

           ⇒  120+2 x=810

          ⇒    2 x=690

         ⇒     x=345.

Hence, the distance between Flagstaff and Albuquerque is 345 miles.

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In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, 12 on all three, and 1 on none of them. How many students are in the class?

Answers

Answer:

37 students are in the class

Step-by-step explanation:

There are 8 regions which the most inclusive clue is the inner one with 12.

  • "14 on a plane and boat" so we fill the intersection with plane and boat with 14-12=2
  • "20 on train an boat" 20-12=8 in the intersection
  • "15 on plane and train" = 15-12 = 3

now we look at this:

  • "22 students have been on a plane" 22 - (2+12+3) = 5 on the plane
  • "28 on a train" 28 - (12+8+3) = 5 on the train
  • "23 on a boat" 23-(12+8+2) = 1 on the boat

Just add up all the 8 numbers in the regions:

12+2+8+3+5+5+1+1=37
Best Answer:  Q#1! 
In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, and 12 on all three, and 1 on none of them. How many students are in the class? 

(1, 5, 3, 12, 2, 5, 8, 1) = 37 

Q#3! 
In a class of 32 students, 17 are wearing jeans, 8 are wearing T-shirts, and 7 are wearing both. How many students are wearing jeans and something other than a T-shirt? 
17 - 7 = 10

Find the number missing from the following equivalent fractions: 9/15= ?/60

Answers

to get the equivalent fraction you have to find the common denominator. in this case 60 divided by 15 which would equal to 4. The you would multiply 9 by 4 to get the answer which would be 36. the final answer would be 9/15=36/60

Answer:

36/60

Step-by-step explanation:

Divide the larger denominator with the smaller denominator.

60/15 = 4

Use this number and multiply this to the numerator to get the unknown.

4*9=36

A drive has a maximum speed of 10,000 revolutions per minute. If a disc has a diameter of 14 cm​, what is the linear​ speed, in​ km/h, of a point 6 cm from the center if the disc is spinning at a rate of 6000 revolutions per​ minute?

Answers

The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.

So the disk has a linear speed of

(6000 rev/min) * (12π cm/rev) = 72,000π cm/min

which is equivalent to

(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)

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What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)?Choose one answer.
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Answers

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Answers

The percent increase in vacuum sales from last year to this year is 5%. This means that there was a 5% increase in the number of vacuums sold this year compared to last year's sales.

To calculate the percent increase in vacuum sales from last year to this year, we can use the following formula:

Percent Increase = [(New Value - Old Value) / Old Value] * 100

Where:

New Value = 567 (vacuums sold this year)

Old Value = 540 (vacuums sold last year)

Now, let's plug in the values and calculate:

Percent Increase = [(567 - 540) / 540] * 100

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Percent Increase = 0.05 * 100

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The percent increase in vacuum sales from last year to this year is 5%. This means that there was a 5% increase in the number of vacuums sold this year compared to last year's sales.

To know more about percent:

brainly.com/question/34659686

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One percent of 540 is 5.4 (540\100) now divide 567 by that number which gives you 105% take the original 100% away, it's an increase of 5%

The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th graders are in choir

Answers

divide 48 by 3, for every three 8th graders, there is one 7th grader in choir
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