A plane traveled 1500 miles with the wind in 2.5 hours and 1400 miles against the wind in the same amount of time. Find the speed of the plane in still air and the
speed of the wind
The speed of the plane in still air is
(Simplify your answer.)

9514 1404 393

Answer:

  1155 km

Step-by-step explanation:

The arc length of the moon's diameter is ...

  s = rθ . . . . . where r is the distance to the moon, θ is the subtended arc in radians, and s is the moon's diameter.

There are 180° in π radians, and there are 60' in 1°. That means there are π/10800 radians in each minute of arc.

  s = (60·6300 km)(21/10800π) = 2309 km

The radius of the moon is estimated to be half this diameter, or ...

  moon radius ≈ 1155 km

_____

Additional comment

We have calculated the radius of the moon based on the numbers given in this problem. The angle subtended by the moon is actually about 31', not 21'.

Answer:

4.9 hours

Step-by-step explanation:

Divide 1,625 by 2.5 to identify what number is being multiplied by 2.5.

Ans: 650

Divide 3,185 by 650 to find the time for 3,185 gallons of water.

Ans: 4.9

4.9 hours is your answer.

Equation: y = mx + b

3/5x + 3 = y

Hope this helps!

Answer:

a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because since it says 5 minutes

and. 5×4=20 so 4 gallons of water in 1 minute

Answer:

14

Step-by-step explanation:

8 - 3 = 5

25 / 5 = 5

9 - 5 = 4

4 x 2 = 8

8 + 6 = 14

Answer:

It would be 86 as 43% of 200 is 86

Step-by-step explanation:

Answer:

y=x+8

Step-by-step explanation:

slope = y2-y1/x2-x1

slope = 7-5/-1+3

slope = 2/2

slope = 1

y=x+b

7=1(-1)+b

7=-1+b

b=8

y=x+8

Answer:

The difference between “inverse” and “reciprocal” is just that. ... “Inverse” and “reciprocal” are terms often used in mathematics. “Inverse” means “opposite.” “Reciprocal” means “equality,” and it is also called the multiplicative inverse.Step-by-step explanation:

Answer: Reciprocal- when you flip the denominator and the numerator in a fraction

Step-by-step explanation:

________

[tex] \: [/tex]

[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]

[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]

[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]

[tex] = \bold{ \frac{1}{1.000.000}} [/tex]

Answer:

[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

Answer:

A cube is a three dimensional shape that features all right angles and a height, width and depth that are all equal. A cube has 6 square faces. A cube has 8 points (vertices). A cube has 12 edges.

Or

solid, six-sided solid, cubicle, hexahedron, die, third power, regular hexahedron, block, dice, cuboid and Rubiks.

Step-by-step explanation:

Answer: each book costs $13

Step-by-step explanation:

dividing 65 by 5 gets the answer

Answer:

13$ per book

Step-by-step explanation:

Divide 65/5 and it will give you the unit rate

Answer:

x is 60 because the total of angles in a triangle is 180 degrees

Answer: 5

Step-by-step explanation:

Since we are given two angles and one side, we can use the side angle side comparison logic to figure out that all sides are 7 and all angles are 60. Since we are given that a side with length 7 is also 2x-3, we can infer that 2x-3=7. 2x=10, x=5. easy

Answer:

Step-by-step explanation:

Prime factorize 12 , 28 , 21  and 16

12 = 2 * 2 * 3 = 2² * 3

28 = 2 * 2 * 7 = 2² *7

21 = 3 * 7

16 = 2 * 2 * 2 * 2 = 2⁴

[tex]\dfrac{12^{7}*28^{6}}{21^{7}*16^{6}}=\dfrac{(2^{2}*3)^{7}*(2^{2}*7)^{6}}{(3*7)^{7}*(2^{4})^{6}}\\\\\\\\=\dfrac{2^{2*7}*3^{7}*2^{2*6}*7^{6}}{3^{7}*7^{7}*2^{4*6}}\\\\\\=\dfrac{2^{14}*3^{7}*2^{12}*7^{6}}{3^{7}*7^{7}*2^{24}}\\\\\\=\dfrac{2^{14+12-24}*3^{7-7}}{7^{7-6}}\\\\\\=\dfrac{2^{2}*3^{0}}{7^{1}}\\\\\\=\dfrac{2^{2}}{7}[/tex]

Hint:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n>m[/tex]

Answer:

A

Step-by-step explanation:

(f+g)(x)=-2x+4+x^2-3x+5

so answe = x^2-5x+9

Answer:

D

Step-by-step explanation:

7a + 6 = -5(a -6)

<=> 7a + 6 = - 5a + 30

<=> 7a + 5a = 30 - 6

<=> 12a = 24

<=> a  = 2

=> Answer is D

Hope this helps!

Answer:

a=2

Step-by-step explanation:

1. distribute the -5 to (a-6): 7a + 6 = -5a + 30

2. add 5a to both sides, and subtract 6 on both sides: 12a = 24

3. divide by 12: a = 2

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: Undefined

y-intercept: No y-intercept

x         y

-3        0

-3        1

Step-by-step explanation:

Below is a picture of the graph.    PLEASE MARK BRAINlIST

Answer:

1.b

2.d

Sana makatulong

1. Optiond D is correct,  Triangle proportionality theorem can be used to  find a missing length in a right triangle.

2. Option D is correct, the value of x is 6.

1. The  Triangle proportionality theorem can be used to  find a missing length in a right triangle.

The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.

2. By triangle proportionality theorem:

NO/OP=NM/x

20/8=15/x

Simplify the LHS:

5/2=16/x

Apply cross multiplication:

5x=15×2

5x=30

x=30/5

x=6

Hence, the value of x is 6.

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X = 88°

based on the isosceles triangle, you can solve it.                                                                                          

Answer:

108

Step-by-step explanation:

The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108

Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

Answer:

The area of the red carpet is 1057 ft²

Step-by-step explanation:

The area of the red carpet is 112.35 ft².

Given that, the width of the stage =63 ft and the length of the stage =10 2/3 ft.

The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".

Now, the width of the red carpet is 1/6 of the width of the floor = (1/6) × 63

=10.5 ft

Here, 10 2/3 can be written as 10.66 ≈ 10.7 ft

The area of the red carpet = length × width = 10.7 × 10.5

=112.35 ft²

Therefore, the area of the red carpet is 112.35 ft².

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Answer:

hope it helps you.....

and I m feeling bad for my handwriting

The proof of the value of the inverse equation f^-1(50) = 3 is below

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x^3 - 4

To show that f^-1(50) = 3, we simply show that

f(3) = 50

substitute the known values in the above equation, so, we have the following representation

f(3) = 2 * 3^3 - 4

Evaluate

f(3) = 50

Hence, the proof of the value of the inverse equation is done

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Answer:

85%

Step-by-step explanation:

Divide the number of problems gotten right by the total number of problems.

Sarah got an 85%.

Use this method.

part/whole = %/100

So.

17/20 = x/100

Cross multiply.

17•100=1700

20•x=20x

Divide by 20

1700÷20=85

Therefore the answer is 85%

Answer:

399 minutes a month

Step-by-step explanation:

As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.

The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).

The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.

Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.

Answer:

the first time 4 and 6 intersent is 24

so 24 days after september 5th

september 29th

Hope This Helps!!!

Step-by-step explanation:

g(x) = x² + 3

g(-5) = (-5)² + 3

g(-5) = 25 + 3

g(-5) = 28