In which step did Victor make a mistake?

Answer:

1.) 120 mph

2.) 30 mph

Step-by-step explanation:

Given that a  man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?

Let the wind speed = w

and the plane speed = p

From the first sentence,

P - w = 180/ 2

P - w = 90 ....... ( 1 )

From the second statement,

P + w = 180/1.2

P+ w = 150 ...... ( 2 )

Solve equation 1 and 2 simultaneously

P + w = 150

P - w = 90

Add the two equations

2P = 240

P = 120 mph

Substitute p in equation 1

W = 150 - 120

W = 30

Therefore, the wind speed is 30 mph and the plane speed is 120 mph

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

Answer:

[tex]190\frac{26}{29}[/tex]

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is [tex]190\frac{26}{29}[/tex]

In the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]

Hence, in the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

To solve more questions on Mixed numbers, visit the link below-

brainly.com/question/2753661

#SPJ2

Answer:

there aren't any options, but anything that's = to 75 will be equivalent to this expression

Step-by-step explanation:

Answer:

It’s (-9,-4)

Step-by-step explanation:

Edge

The focus of the graph of the function is located at (−9,−4).

Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.

The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Right

Vertex: (−10, -4)

Focus: (-9, -4)

Axis of Symmetry: y=−4

Directrix: x=−11

Therefore, the focus of the graph of the function is located at (−9,−4).

To learn more about the functions visit:

https://brainly.com/question/12431044.

#SPJ2

Answer:

Step-by-step explanation:

Thanks I will go there soon

Answer:

Square root of 29

Step-by-step explanation:

The required radius of the circle would be √29 units which circle with a center at (1, 1) and a point on the circle is (6, 3).

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

Given that a circle with a center at (1, 1) and a point on the circle is (6, 3).

Since the circle passes through points (6, 3),

So the radius (r) of the circle is the distance between points (1, 1) and (6,3).

⇒ r² = (6 - 1)² + (3 − 1)²

⇒ r² = (5)² + (2)²

⇒ r² = 25 + 4

⇒ r² = 29

⇒ r = √29

Therefore, the required radius of the circle would be √29 units.

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ2

Answer:

176

Step-by-step explanation:

88% = 88/100

88 × 2 = 176

176/200

Answer:

176 is the answer

Answer:

5⁰

Step-by-step explanation:

Angle on A STRAIGHT line sums up to 180⁰

angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰

4x+129+5x+6=180

then here you group like terms

4x+5x=150-129-6

9x=45

divide both sides by 9

9 dividing 45 is 5

Answer:

Your Answer is D, Both opposite sides and angles are congruent

Step-by-step explanation:

I'm just going to write a load of BS here to see if i cant get the answer to show up so all of you wonderful people don't have to waste so much time on watching a video, so instead you can get your answer for free, and also for a proper explanation I looked this question up, didn't fund anything so I guessed and got it correct, hope this helped.

Answer:

D

Step-by-step explanation:

Answer:

6090

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

There are 9 students who spend the following number of hours in a typical day on the computer.

3,3,5,7,7,9,9,9,12

The mode is the number that is of the highest frequency in any given set of values.

The mode number of hours is the highest number of hours spent on the computer.

The number 9 occured the most times. Therefore the mode hour is 9

In an earlier chapter we learned that

32=3⋅3=9

We said that 9 was the square of 3. The square of -3 is 9 as well

(−3)2=(−3)⋅(−3)=9

3 and -3 are said to be the square roots of 9.

All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots

a2=a⋅a=(−a)⋅(−a)

A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.

a−−√

To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

±9–√=±3

Zero has one square root which is 0.

0–√=0

Negative numbers don't have real square roots since a square is either positive or 0.

If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since

±25−−√=±5

If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root

±3–√=±1.73205...≈±1.7

The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers. The decimal form of an irrational number will neither terminate nor repeat. The irrational numbers together with the rational numbers constitutes the real numbers.

Example

irrationalnumber⇒19−−√≈4.35889...

rationalnumber⇒0.5=12

The value of c if, The square of a real number c is 11 less than the square of 5 is 3.74.

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

The square of a real number c is 11 less than the square of 5,

Write the equation as shown below,

c² = 5² - 11

c² = 25 - 11

c² = 14

c = √14

c = 3.74

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

The complete question is, The square of a real number c is 11 less than the square of 5, find the value of c?

Answer: 9/25 inches of rain

Step-by-step explanation: Put the decimal (0.36) over its place value (100), which turns it into 36/100. Now, simplify by dividing the numerator (36) and the denominator (100) by the greatest common factor (4), to get the answer 9/25.

10 units is the distance between point A and point C on the number line.

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

We need to find the  distance between point A and point C on the number line.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

The length along a line or line segment between two points on the line or line segment is known as distance.

The point A is at -3.

The point C is at 7

Now the distance between A and C is AC.

AC=OC-OA

=7-(-3)

=7+3

=10

Hence, 10 units is the distance between point A and point C on the number line.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ7

Answer:

n < 4

Step-by-step explanation:

[tex]\frac{1}{2} n+3<5[/tex]

     -3     -3

[tex]\frac{1}{2} n[/tex] < 2

divide  both sides by [tex]\frac{1}{2}[/tex]

n < 4

Hope this helps!!!

Answer:

A day because within a day Chris bags left is 6 and evans too 6 bags left

okay, first to figure out the IQR of the table you need to organize them from least to greatest.

2.43, 6.14, 6.47, 7.19, 8.38, 8.63

to find the middle number of all of these you add them all together and divide by 6, which is the total amount of numbers there.

2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 = 39.24

39.24 / 6 = 6.54

now that we have the IQR, next we find the outlier. to find the outlier you multiply the IQR by 1.5 which is 6.54 x 1.5 = 9.81 <- outlier

Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 + 9.81 = 49.05

49.05 / 7 = 7.00 (Rounded)

I tried my best to solve this, sorry if it doesn't help.

Answer:

Identity property of division

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

Answer:

c=4

Step-by-step explanation:

3(c+4)

3c+12

c=4

I hope this is correct and have a great day

Answer:

You should be good with A

Step-by-step explanation:

Answer:

276.2 rounded to the nearest 10th is 276.2.....

Step-by-step explanation:

Answer:276.2...

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

thanks for the pts i need them sowwy

Answer:

I think it must be between 75 and 76

The value of x for the given geometry will be 20°.

The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that AE is a bisector of ∠BAE and ∠EAC

so,

∠BAE = ∠EAC

x + 30 = 3x - 10

x = 20°

Hence 20° will be the answer to the given question.

For more about the angle

brainly.com/question/13954458

#SPJ2

Answer:

125 cm

Step-by-step explanation:

I am 100% sure because I did the math