You can fly from Seattle to Boise for $137.50, from Boise to Witchita for $92.50 and from Witchita to Austin for $162.50. Use mental math to find the total cost of the flight from Seattle to Austin.

Answers

Answer 1
Answer: We add all these numbers up. 137.50 +162.50+92.50= 392.50$ Use a cacl or by hand

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What is pythagoras triplets?

Answers

A pythagoras triplet is a set of three numbers ... not just any three numbers,
but a set where the (square of one of them) is the sum of the (squares of the
other two). 

If they're related in that way, then they can be the lengths of the sides of a
right triangle.

If they're not, then they can't.

Find 3 consecutive even numbers where the product of the smaller two numbers is 40 less than the square of the largest number.

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3\ consecutive\ even\ numbers:\ 2x,2x+2,2x+4\n\n2x(2x+2)+40=(2x+4)^2\n\n 4x^2+4x+40=4x^2+16x+16\n\n 4x^2-4x^2+4x-16x=16-40\n\n-12x=-24\ \ |:(-12)\n\nx=(24)/(12)=2\n\n2x=2=4\n\n2x+2=6\n\n2x+4=8\n\nNumbers\ are\ 4,6,8.

A car can travel 300 miles on 10 gallons of gas. The ratio is 300 miles to 10 gallons.Write the ratio given in the problem. Divide both quantities in the ratio by the second quantity in the ratio and write the new ratio. What is this ratio called? Explain.

Answers

Answer:

The new ratio is 30 miles : 1 gallon it called the unit rate          

Step-by-step explanation:

* Lets explain what is the unit rate

- A unit rate describes how many units of the first type of quantity

 equal to one unit of the second type of quantity

- Ex: 3 miles per hour

       $100 per day

       15 students per class

- A unit rate is a rate with 1 in the denominator

- Ex: $20 for 5 pens, the rate is 20 : 5 divide the two terms by the

 denominator 5, then 20 : 5 = 4 : 1 then unit rate is $4 per pen

* Lets solve the problem

- A car can travel 300 miles on 10 gallons of gas

∴ The rate is 300 miles per 10 gallons

- To find the unit rate divide the two terms of the rate by 10

∴ 300 : 10 = 300/10 : 10/10

∴ 300 : 10 = 30 : 1

The unit rate is 30 miles per gallon

* The new ratio is 30 miles : 1 gallon it called the unit rate          

In a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3:5. How many red cars are in the parking lot?

Answers

Given:
240 red and blue cars
3:5 ratio of red cars to blue cars

3 + 5 = 8

red cars: 3/8 * 240 = 90
blue cars: 5/8 * 240 = 150

ratio of red cars to blue cars: 90:150

simplify:
  90 ÷ 30 = 3
150 ÷ 30 = 5 

Thus: 90:150 = 3:5

Answer:

90, because 3/8 of the cars are red

Step-by-step explanation:

This is the answer on ttm.

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3x + 4

Step-by-step explanation:

y = mx + b is the formula for finding the slope intercept form equation

m = slope

b = y intercept

If you look at points (-3, 0) and (0, 4), you can calculate the slope

You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)

Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4

Now, lets create your equation...

y = 4/3x + 4

Solise is planting 24 bushes and 16 trees in equal rows. She wants all the rows to be exactly the same with no plants left over. What is the greatest number of rows Solise can plant?

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Since Solise want to plant both trees and bushes in the same number of rows, you need to find the common factor.

Since the question is asking what the greatest number of rows she can plant, you have to find the greatest common factor.

The greatest common factor of 24 and 16 is 8.

You can plant 24 bushes in 8 rows (meaning you can divide it by 8), and 16 trees in 8 rows (meaning you can divide it by 8). Since the greatest number you can divide them both by is 8, the GCF of 24 and 16 is 8.

So the greatest number of rows Solise can plant is 8 rows.

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