A small plane flying from Los Angeles to San Diego averaged 175 mph with a tailwind. On the return trip with headwind the average speed was only 125 mph. Write and solve a system to reflect this relationship. Find the speed of the headwind/ tailwind AND the speed of the plane on a calm day.

Answers

Answer 1

Answer:  System of equations:

p + w = 175

p - w = 125

p is the plane's speed, w is the wind speed

The wind speed is 25 mph.  The plane's speed on a calm day is 150 mph.

Step-by-step explanation:

Solve by elimination: Add the equations. w "cancels" solve for p:

p + w = 175

p - w = 125

2p  = 300   divide both sides by 2

p = 150  the plane's speed

Substitute 150 for p and solve for w

150 + w = 175   Subtract 150 from both sides.

w = 25  the wind speed


Related Questions

The table shows two linear functions and the function values for different values of x.
Which expression represents h(x)?
A. (f ∙ g)(x)
B. (g + f)(x)
C. (f – g)(x)
D. (g – f)(x)

Answers

Answer:

the answer is A. (f ∙ g)(x)

Step-by-step explanation:

i got it wrong twice, and then it told me the answer

Answer:

its   A

Step-by-step sussy vent imposter baka :)  ;0

Can someone solve this equation for me?

[tex]f(x)=(1-0.08)^{(\frac{1}{52})^{12t}[/tex]

Answers

Answer:

$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .

simplify: 4 (3y +x) please show your work

Answers

Answer:

12y+4x

Step-by-step explanation:

Multiply 4*3y and 4*x

Distributive property

Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=

Answers

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

Claire is going to invest in an account paying an interest rate of 4.8% compounded
continuously. How much would Claire need to invest, to the nearest hundred dollars,
for the value of the account to reach $540 in 13 years?

Answers

Answer: P= 300

Step-by-step explanation:

pleade help and show work​

Answers

9514 1404 393

Answer:

  11) x = 9

  12) x = 9

Step-by-step explanation:

11) Corresponding segments are proportional, so ...

  x/6 = 12/8

  x = 6(12)/8 . . . multiply by 6

  x = 9

__

12) Similar triangle relationships show you the geometric mean relationship that applies in this case.

  long side/short side = x/3 = 27/x

  x² = 3·27 . . . . . . cross multiply

  x = √(3·27) . . . . geometric mean relationship

  x = 9

In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.=

Answers

Answer: 415.2

Step-by-step explanation:

Zenaida shares 1/5 bag of cookies equally among herself and 2 her friends. What fraction of the cookie bag will each girl receive?

Answers

Answer:

1/15

Step-by-step explanation:

1/5 divided by 3

=1/5 times 1/3

=  1 × 1

 -------

 5 × 3

= 1/15

Answer:

The answer is 1/10

Step-by-step explanation:

1/5 divided by 2

1/5 times 1/2

1 x 1 = 1

5 x 2 = 10

1/10

Line G has a slope of -2/3. Line age is perpendicular to G. What is the slope of line h?

Answers

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.

ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS​

Answers

$10 if she deposited every month

Shane took out a 5.5-year loan from the bank in order to purchase at $12,000 motorcycle. At the end of the loan, he had paid $3267 in interest. Find the interest rate. Help me please

Answers

Answer:

4.95%

Step-by-step explanation:

3,267 ÷ 5.5 = $594 interest per year

$594 ÷ $12,000 = 0.0495 aka 4.95%

Which one is it??????

Answers

Step-by-step explanation:

Down 10n

Is answer

hope it helps you to

Down 10 :)
Hope this helps, math is not my best subject but definitely not my worst

Write an expression for the perimeter of the triangle shown below:

Answers

Answer:

7.8x - 17

Step-by-step explanation:

1.8x - 7 + 1.8x - 7 + 3.4x - 3 now add like terms

(variables + variables and Coefficient + Coefficient) so the answer is

7.8x - 17

help help this is it

Answers

Answer:

u = -112

Step-by-step explanation:

-14 = u ÷ 8

-14 × 8 = u ÷ 8 × 8

-112 = u

Answer:

-112

Step-by-step explanation:

-14 = u divide by 8

 x 8                      x 8

-------------------------------

-112 = u

Can I have A brainliest

Please help I need it ASAP!!

Answers

Answer:

5+z=190....././......

help PLEASE!!! [URGENT]

Answers

The answer is c because its c

I need help in this sum plss

Answers

Answer:

7.11111111112

Step-by-step explanation:

there should be 10 1's

Answer: look at the picture

Step-by-step explanation: hope this help :)

The range for the set of data represented by the following box-and-whisker plot is 8.

Answers

Answer:

True

Step-by-step explanation:

The range is the difference between the lowest and the highest values of the set:

19 - 11 = 8

The answer is TRUE

Answer:

true

Step-by-step explanation:

Solve for n. N3 = 16

Answers

5.33333....

Divide 3 both side of the equation, so the 3 on the N side is gone. Now left with n=16/3
So divide that and you get the answer

During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer:

The price after markup was 98% of the original price.

Step-by-step explanation:

There are 9 counters in a bag.

7 of the counters are green.
2 of the counters are blue.

Ria takes at random two counters from the bag.

Work out the probability that Ria takes one counter of each colour.

Answers

The Answer:
7:2
Hope this helps

Write your question here (Keep it simple and clear to get the best answer)When A Number Is Subtracted From 1010001 the Difference Is 910002 find The Number?

Answers

Answer:

[tex]99999[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

According to question, if a number is subtracted from 1010001 the difference is 910002.

[tex]1010001-x=910002[/tex]

Transpose [tex]1010001[/tex] to the right side of the equation.

[tex]-x=910002-1010001=-99999\\-x=-99999[/tex]

Multiply both sides by [tex]-1[/tex]

[tex]-x(-1)=-99999(-1)\\x=99999[/tex]

So, if [tex]99999[/tex] is subtracted from 1010001 the difference is 910002.

Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.

ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.

Answers

Answer:

A., B., C., and E.

Step-by-step explanation:

edge 2021

The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.

Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.

Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.

Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).

Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.

Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.

Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Learn more about congruence theorem on:

https://brainly.com/question/2102943

A phone company offers two monthly plans. Plan A costs $26 plus an additional $0.13 for each minute of calls. Plan B costs $17 plus an additional $0.18 for each minute of calls. Please help me!

Answers

Answer:

DSC

Step-by-step explanation:

plz help me
which graph best represents a function with a domain of all real numbers less than 5?

Answers

It's graph(B).

Imma 100% sure 'bout this. Mark it!

The domain of a graph is the list of possible x values of the graph

Graph B has the domain of all real numbers less than 5

From the list of options, we have the following observations.

For graphs A and C,

The curves extend across the x-axis.

So, the domain is: [tex](-\infty,\infty)[/tex]

For graph D,

The curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle

So, the domain is: [tex](-\infty,0)[/tex]

For graph B, the curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle

So, the domain is: [tex](-\infty,5)[/tex]

The domain [tex](-\infty,5)[/tex] means that:

All real numbers less than 5

Hence, the domain is illustrated on graph B

Read more about domains at:

https://brainly.com/question/16875632

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

15 POINTS!!
answer the question in the picture

Answers

Answer:

10, 0, 2.

Step-by-step explanation:

It means that the number is greater than -3.

So, 10, 0, 2, are all greater than -3, and all the other numbers are smaller. So 10, 0, 2 are the numbers that are part of the solution for x>-3.

Answer:

10(a), 0(c), 2(d)

I need some help with this question​

Answers

9514 1404 393

Answer:

  terms: 2

  degree: 1

Step-by-step explanation:

The expression has two terms, separated by a minus sign.

The degree of the expression is the exponent of the only variable, 1. (Typically, a coefficient of 1 and/or an exponent of 1 are not shown.)

  terms: 2; degree: 1

Write as a fraction greater than one. (an improper fraction)
HURRY PLZZZZZZZZZZZZZZZ. ill mark brailyist thingy

Answers

Answer:

13/3

Step-by-step explanation:

The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.

Answer:

13/3

Step-by-step explanation:

(4x3+1)/3

=(12+1)/3

=13/3

PLEASE HELP ME!!!!

Find the volume of this sphere.
Use 3 for pi.

Answers

Answer:

904cm3 just use an online sphere calculator they're easy to use

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