A light aircraft travels 6 miles per hour less than three times the speed of a van. If the van can travel 72 miles in the same time it takes the aircraft to travel 204 miles, then what is the average speed of each?

Answers

Answer 1

Answer:

Van: 36 mph.

Plane: 102 mph.

Step-by-step explanation:

x = speed of van

y = common time value

(3x - 6) * y = 204 // plane

x * y = 72 // van

3xy - 6y = 204 // plane simplified

We can now substitute 72 for xy in the equation above.

3*72 - 6y = 204 --> 216 - 6y = 204

We now subtract 216 from both sides.

-6y = -12

We now divide both sides by -1 to get rid of the negative sign & then divide both sides by 6 to simplify.

y = 2

If x*y = 72, then x = 72/y = 72/2 = 36.

Thus, the speed of the van is 36 mph.

We can find the speed of the plane by using the equation from earlier, 3x - 6.

3x - 6 = 3*36 - 6 = 108 - 6 = 102.


Related Questions

Write the equation of the line in fully simplified slope- intercept form .

Answers

Slope (6-1)/(0-1) = 5/(-1) = -5
Y -6=-5(x-0)
Y-6= -5x
Y = -5x + 6

Question 3
1 pts
Use the number line below to find the midpoint of segment AB

midpoint of segment AB (answer1]

Answers

Answer:

The midpoint is -4

22. which month did the business make the most profit
23. which month did the business make the least profit

Answers

Answer:

JulyMarch

is your answer. I HOPE YOUR DAY GOES GREAT.

Find the missing lengths of the sides.

A) a = 6^3 ft, b = 6^3 ft

B) a = 12 ft, b = 12 ft

C) a = 6 ft, b = 6 ft

D) a = 6 ft, b = 6^2 ft

Answers

Answer:

The choose B) a=12, b=12

Step-by-step explanation:

sin45= a/12√2 —> a=12

cos 45= b/12√2 —> b=12

I hope I helped you^_^

Help ASP!
Sarah has 80 pennies. Lou
has 10 times as many
pennies as Sarah.
Joe has 1/10 as many
pennies as Sarah. How many
pennies do Lou
and Joe have together?

Answers

Lou has 800 pennies
Joe has 8 pennies
Therefore they have 808 pennies

Express the following as the sum of two odd primes
a) 36
b)68
c)24
d)42

Answers

Answer:

b)68

Step-by-step explanation:

i think helping you...say correct or no...

Name prime numbers 1-30

Answers

Answer:

2,3,5,7,11,13,17,19,23 and 29

Step-by-step explanation:

hope this helps

Which of the following is equal to square root of 3 and square root of 6.

Answers

Answer:

the answer is the second option which is 6⅓

Answer:

6^1/6

Step-by-step explanation:

Rewriting with the exponents as fractions

(6^1/3) ^1/2

We know a^b^c = a^(b*c)

6^(1/3*1/2)

6^1/6

Divide 3m 80cm of ribbon in the ratio of 1/3 : 3/4 : 1/2 what is the result?​

Answers

Answer:

80 cm / 180 cm / 120 cm

Step-by-step explanation:

the smallest common multiple of 3, 4 and 2 is 12.

so, to be able to truly compare these fractions we need to bring all denominators to .../12.

1/3 = 4/12

3/4 = 9/12

1/2 = 6/12

in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :

4 parts for the first segment.

9 parts for the second segment

6 parts for the third segment.

so, one part is

380 cm / 19 = 20 cm

therefore the first segment of the ribbon is

4×20 = 80 cm long

the second segment

9×20 = 180 cm long

the third segment

6×20 = 120 cm long

Please Help! I am so confused. I will give you the brainiest and a lot of points.
Please show work

Answers

Read each number from top to bottom. Each digit is in base 20, and as I pointed out in another question of yours, 1 bar = 5, 1 dot = 1, and disk = 0.

(47) Only 1 digit here, with 2 bars and 4 dots. So this is 14.

(49) 3 digits, in order from top to bottom: 19, 0, 6. So this number is

[19]06₂₀ = 19×20² + 0×20¹ + 6×20⁰ = 7606

(51) 3 digits: 8, 8, 8.

888₂₀ = 8×20² + 8×20¹ + 8×20⁰ = 3368

(53) 4 digits: 2, 0, 0, 11.

200[11]₂₀ = 2×20³ + 0×20² + 0×20¹ + 11×20⁰ = 16011

(55) 4 digits: 10, 10, 0, 10.

[10][10]0[10]₂₀ = 10×20³ + 10×20² + 0×20¹ + 10×20⁰ = 84010

(57) 6 digits: 5, 10, 0, 6, 2, 3.

5[10]0623₂₀ = 5×20⁵ + 10×20⁴ + 0×20³ + 6×20² + 2×20¹ + 3×20⁰ = 17602443

(59) 6 digits: 10, 5, 0, 0, 11, 4.

[10]500[11]4₂₀ = 10×20⁵ + 5×20⁴ + 0×20³ + 0×20² + 11×20¹ + 4×20⁰ = 32800224

Find the fraction that is exactly halfway between 3/7 and6/7 pls help​

Answers

Answer:

[tex]\frac{9}{14}[/tex]

Step-by-step explanation:

1. Add two fractions together.

[tex]\frac{3}{7}[/tex] + [tex]\frac{6}{7}[/tex] = [tex]\frac{9}{7}[/tex]

2. Divide by 2.

[tex]\frac{9}{7}[/tex] ÷ 2 = [tex]\frac{9}{14}[/tex]

Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

70; The following graph is simply a horizontal line at the value 70.

Step-by-step explanation:

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

What two rational expressions sum to 2x+3x2−2x−15?

Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.

Answers

The rational expressions that sum to  [tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]

The given expression is:

[tex]\frac{2x+3}{x^2-2x-15}[/tex]

Factorize the denominator

[tex]x^2-2x-15\\x^2-5x+3x-15\\x(x-5)+3(x-5)\\(x+3)(x-5)[/tex]

The given expression therefore becomes:

[tex]\frac{2x+3}{(x+3)(x-5)}[/tex]

This can be split into the sum:

[tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]

Learn more here: https://brainly.com/question/17103002

Answer: 2x+3/x^2-2x-15 = 13/8(x-5) + 3/8(x+3)

Step-by-step explanation: I took the test and used the answer above and got the answer wrong, then the test gave me this answer:

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
a) Write down the expression for the sum of the first (n − 1) terms.
b) Find the first term and common difference of the above sequence.

Answers

Answer:

(a).

[tex]S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\ [/tex]

(b).

from general equation:

[tex]S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)[/tex]

first term is 4n

common difference:

[tex]16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2} [/tex]

Triangle JKL is similar to triangle PQR. What is the measure of angle R?
Please answer as soon as possible.

Answers

Answer:

x = 43°

Step-by-step explanation:

59 + 78 + x = 180

137 + x = 180

(137 - 137) + x = 180 - 137

x = 43°

Juan Carlos grew 2.79 inches last year. Which shows a way to represent the value of the 9 in this number?

Answers

Answer:

0.09

Step-by-step explanation:

hope it helps!!!!!!

I’ll give you 50 points if it’s answer correctly

Answers

Answer:

. The line passes through the quadrants I, II and III.  ii. The line intersects the Y-axis at (0, 1).

Find the midpoint, M, of AB.
А
M
B
[?]
22

Answers

Answer:

M=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the midpoint ( or middle) we take the average of the endpoints

(A+B)/2 = (0+22)/2 = 22/2 = 11

Find the greatest common factor of these two expressions.
28xy8v7 and 14x6v3

Answers

9514 1404 393

Answer:

  14xv^3

Step-by-step explanation:

Coefficients are 28 and 14, which have a GCF of 14.

x exponents are 1 and 6, so the GCF is x^1 = x

y exponents are 8 and 0, so the GCF is y^0 = 1

v exponents are 7 and 3, so the GCF is v^3

The GCF of the two terms is the product of the factors just found:

  14xv^3

Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?

Answers

Answer:

60/125 which can be reduced to 12/25

Step-by-step explanation:

Gina wins

2/5 * 2/5 = 4/25

3/5 * 2*5 * 2/5 = 12 /125

2/5 * 3/5 * 2/5 = 12/125

Fred Wins

3/5 * 3/5 = 9/25

2/5 * 3/5 * 3/5 = 18/125

3/5 * 2/5 * 3/5 = 18/125

P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125

P(2 sets) = (20 + 45)/125 = 65/125

I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.

solve for c
ad + bc = 2

Answers

Answer:

c = (2 - ad) / b

Step-by-step explanation:

Subtract both sides by ad

bc = 2 - ad

Divide both sides by b

c = (2 - ad) / b

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! LOOK IMAGE FOR OPTIONS
Which table represents a direct variation function?

Answers

This means that as x increases, y increases and as x decreases, y decreases
So answer is the last option (last table)

find the radius of a circle which has a sector of area 9 square meters determined by a central angle 1/3 radian​

Answers

Answer:

L = length of arc , R = radius

radian angle = L / R

L = R* radian angle

L = R * 1/3

L = R/3 #1

Area of sector = 1/2 L*R

By substitution using #1

Area of sector = 1/2 * R/3 * R

9 = R^2 /6

R^2= 6*9

R^2= 36

R =✓36

R = 6

the score analysis of a school show the following.
180student register for Economics, 90 student Economics and political science,10 student Economics only, 150 student Economics and Geography, 120 student political science and Geography, 210 Geography, total number of students that register for the subjects= 250. find the number of students who register for.
1. political science
2. political science and Geography but not econs
3. Economics and political science but not Geography ​

Answers

Answer:

Economics and political science but not Geography

is right answer i think

Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?

Answers

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

Someone please help!
-it is a 4 digit number.
-the vaule of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place.
-the least digit is in the tens place.
-the sun of the digits is 19. -the digit in the ones place is 4 more than the digit in the hundreds place.
-whats the mystery number?

Answers

Answer:

5539

Step-by-step explanation:

You should conclude that the number in the thousands place and the one in the 100s place are the same.

x * 1000 + x * 100 + y + x + 4

So you could sum the digits as

3x + y + 4 = 19   Subtract 4 from both sides

3x +  y = 15

x can be six           That means y = 1 which is OK

x can be five          That means y = 3 which is OK

Now we run into a little grief. Can x be 4? No

x cannot be 4          that would mean that y = 19 - 12 = 7 The tens digit is too big.

Come to think of it, x cannot be 6 because then the units digit will be 10 -- not possible.

So the answer is

1000*5 + 100*5 + 10*3 + 9

5539 is the answer.

Thanks for posting.

We want to find a 4-digit number that meets some given conditions. We will find two, which are:

4438 and 5509

A general 4-digit number can be written as:

a*1000 + b*100 + c*10 + d

Where a, b, c, and d are single-digit numbers.

a is the thousands digit

b is the hundreds digit

c is the tens digit

d is the units digit.

Here we know that:

"the value of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place."

So the first term is 10 times the second term, this means that:

(a*1000) = 10*(b*100)

a*1000 = b*1000

a = b

-the least (the smaller one) digit is in the tens place.

so:

c < a, b, d

- The sun of the digits is 19.

So:

a + b + c+ d = 19

-The digit in the ones place is 4 more than the digit in the hundreds place.

so:

d = b + 4

Now we can rewrite all of these conditions as:

b = ac < b, a, da + b + c + d = 19d = b + 4

Using the first one, we can replace all the b's by a's in the other conditions, so we have:

c <  a, d2a + c + d = 19d = a + 4

Now we can use the third equation and replace it in the second one to get:

2a + c + d = 19

2a + c + (a + 4) = 19

3a + c + 4 = 19

3a + c = 19 - 4

3a + c = 15

Now we need to remember that:

c < a.

So we can try with different values of a.

For example, if a = 3, then:

3*3 + c = 15

9 + c = 15

c = 15 - 9 = 6

here we have c > a, so we can discard this.

If a = 4, then:

3*4 + c = 15

12 + c = 15

c = 15 - 12 = 3

c < a

From this we can construct our number:

a = b = 4

c = 3

d = b + 4 = 4 + 4 = 8

Then the number is:

4438

If a = 5, then:

3*5 + c = 15

15 + c = 15

c = 15 - 15 = 0

c < a

So we also can have:

a = b = 5

c = 0

d = b + 4 = 9

Such that the number is:

5509

And if a is equal to or larger than 6 we have problems, because

3*6 + c = 15

18 + c =15

c = 15 -18 = -3

And c can't be a be a negative number.

So we can conclude that we found two 4-digit numbers that meet all the conditions, and these are:

4438 and 5509

If you want to learn more, you can read:

https://brainly.com/question/19902993

Use exponents to rewrite 27.
A. 93
B. 39
C. 9 + 9 + 9
D. 23
E. 33

Answers

Answer:

3³  = 27

Step-by-step explanation:

I'm guessing you need answer E

Use the order of operations to simplify the expression below. 990 ÷ (12-9)​

Answers

Hi ;-)

[tex]990:(12-9)^2=990:3^2=\\\\=990:(3\cdot3)=990:9=\boxed{110}[/tex]

4/6+1/4 =

Pliss help me​

Answers

4/6 can be 16/24
1/4 can be 6/24
when you add it equals 22/24 simplified into 11/12

Answer:

11/12.

Step-by-step explanation:

The lowest common denominator of 6 and 4 is 12, so we have

4/6 + 1/4

=  4*2 / 6*2 + 1*3 / 4*3

= 8/12 + 3/12

= 11/12.

find a formula for the arithmetic sequence consisting of the positive multiples of 4

Answers

9514 1404 393

Answer:

  4n

Step-by-step explanation:

For positive multiple number 'n', the value is 4n.

  a[n] = 4n . . . . . where a[n] is the n-th term of the sequence

Answer:

an = 4n

Step-by-step explanation:

got it right on test

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