Charles Lindbergh made a first solo airplane flight from New York to Paris. His flight covered about 3610 miles in 33.5 hours.a.) find the unit rate in miles per hour
b.) find the unit rate in hours per mile
c.) which is a better description of Lindbergh's rate about 2 miles per minute or about 2 mph? Explain your reasoning.

Answers

Answer 1
Answer:

The unit rate is 107.76 miles per hour.

The unit rate is 0.009 hours per mile.

A better description of Lindbergh's rate is about 2 miles per minute is 67 miles.

Given that

Charles Lindbergh made their first solo airplane flight from New York to Paris.

The flight covered about 3610 miles in 33.5 hours.

According to the question

1. The unit rate in miles per hour is,

\rm Unit \ Rate = (Distance)/(Time)\n\nUnit \ rate = (3610)/(33.5)\n\nUnit \ rate = 107.76 \ miles \ per \ hour

The unit rate is 107.76 miles per hour.

2. The unit rate in hours per mile is,

\rm Unit \ Rate = (Time)/(Distance)\n\nUnit \ rate = (33.5)/(3610)\n\nUnit \ rate = 0.009 \ hour \ per \ miles

The unit rate is 0.009 hours per mile.

3. The better description of Lindbergh's rate about 2 miles per minute or about 2 mph is,

\rm = 33.5 * 2\n\n= 67 \ miles

A better description of Lindbergh's rate is about 2 miles per minute is 67 miles.

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Answer 2
Answer: a) 107.7mph This is solved by dividing the distance by the time to see how many miles are covered over that time. 3610 divided by 33.5 = 107.7 (1st decimal place)
b)0.009 This is done by doing the opposite. 33.6 divided by 3610
c)2mpm because 2mph would mean he only covered 67 miles.

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If a loan of $125,000 is for 10 years, and the interest rate paid was $65,625, what is the in treat rate on the loan?

Answers

for this problem you simply are solving for a different variable. we use the equation F=p(1+r)^T (assuming that the interest is compounded once a year). p=125,000 T=10 and we can add the interest plus the initial to get the final and find F=180,625. plug all these in and you get 180,625=125000(1+r)^10. solve for r in that equation and you get r=3.75%

if you want the work to solve the equation, first divide 180,625 by 125,000 and then take the quotient of that and put it to the 1/10 power. then minus 1 to solve for r (sorry for making it brief, it is a lot of numbers to type otherwise).


Write a fact family using the numbers 5/6 and 30

Answers

The fact family using the numbers  5, 6 and 30 are 5×6=30 6×5=30, 30÷5=6 and 30÷6=5

What is Number system?

A number system is defined as a system of writing to express numbers.

The given three numbers are 5, 6 and 30

We need to write  the numbers 5 6 and 30 as

Thirty divided by five equal to six

30÷5=6

Thirty divided by six equal to five

30÷6=5

Five multiplied by six is thirty

5×6=30

Six multiplied by five is thirty.

6×5=30

Hence,the numbers 5, 6 and 30 are 5×6=30 6×5=30, 30÷5=6 and 30÷6=5

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5×6=30
6×5=30
30÷5=6
30÷6=5

Ali was paid $75 for mowing a neighbor's yard.This is one fourth of the amount of money she earned all summer.How much did Ali earn all summer?Write and solve an equation.

Answers

It should be 300. You would have to multiply 75 by 4 If it's just 1/4

Please Help! Math- Slope!

Answers

m = 6-0/-5-3
m = 6/-8
m = 3/-4

2x-3y=9
Find slope-
x-intercept-
y-intercept-

Answers

get the equation in slope intercept form

2x-3y=9

subtract 2x from each side

-3y = -2x +9

divide by -3

y = 2/3 x -3

slope = 2/3

y intercept = -3

x intercept set y=0 and solve

0 = 2/3 x -3

add 3 to each side

3 = 2/3 x

multiply each side by 3/2

9/2 = x

the x intercept is 9/2 or  4 1/2

y=mx+b
y=(2x-9)/3
y=(2/3)x-3
slope(m)=2/3

finding x-intercept..
if y=0
2x-3(0)=9
x=9/2

finding y-intercept..
if x=0
2(0)-3y=9
y=-3

only 6 of the 75 trees in the park are at leat 30 feet tall. what percent of the trees are over 30 feet?

Answers

Answer:

   8 %

Step-by-step explanation:

To find the percent of trees that are over 30 ft tall, take the number of trees that are over 30 ft tall over the number of tree

Percent = trees over 30 ft tall/ total number of trees

              = 6/75

              =.08

Change this to a percent by multiply by 100%

             .08 * 100%

                    8 %