Mathematics Middle School

Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. Also can I please get an explination/Walkthrough?

Answers

Answer 1

The answer will be 270 km/h hope this helps. :)

Related Questions

write the equation in slope intercept form 2x-3y=6

Answers

Slope is 2/3
Y Intercept is -2

hope this helps

Slope intercept form is y = mx + b.

-3y = -2x + 6
-y = -2/3x + 2
y = 2/3x -2

Hope this helps!

8. Which box-and-whisker plot shows the high temperatures in Philadelphia, Pennsylvania, during the first two weeks of March: 42, 51, 54, 46, 49, 53, 52, 37, 33, 36, 50, 41, 50, 38

Answers

Step 1: Arrange the data given in ascending order, that is from least to greatest.

Given data:

[tex] 42, \; 51, \; 54, \; 46,\; 49, \; 53,\; 52, \; 37, \; 33, \; 36, \; 50, \; 41,\; 50,\; 38\\ \\ [/tex]

Data in ascending order:

[tex] 33, \; 36, \; 37, \; 38, \; 41, \; 42,\; 46, \; 49,\; 50, \; 50,\; 51,\; 52,\; 53, \; 54 [/tex]

Step 2: Find the median (Q2). The median is the value exactly in the middle of an ordered set of numbers .If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

Since in our problem we have 14 datas, we need to pick the middle most numbers and find the average of the same.

[tex] Median =\frac{46+49}{2} =\frac{95}{2} =47.5 [/tex]

The median is called Q2 and equal to 47.5

Step 3: Find the lower quartile (Q1). Considering the values to the left of the median(Q2), the median to those values is the Q1 and called as Lower quartile.

[tex] Q1=38 [/tex]

Step 4: Find the upper quartile (Q3). Considering the values to the right of the median(Q2), the median to those values is the Q3 and called as Upper quartile.

[tex] Q3=51 [/tex]

Conclusion:

Using the above details we need to plot the box and whisker plot attached with this problem.

Sheila works for a fishing company. She is paid $20 per day and an additional $2 for each lobster she catches. She wants to know how many lobsters she must catch in order to earn a total of at least $130 after five days of working.

Create an inequality on the number line with the tools provided which represents the number of lobsters that Sheila could catch to earn at least $130.

Answers

In five days, she would get $100 no matter what meaning she needs $30 in lobsters. 30/2 = 15 so the number of lobsters she needs to catch could be represented as x >= 15

81 times a number minus 77 is equal to -77 less than the number

Answers

81 times a number minus 77 is equal to -77 less than the number 81x-77=x-77

Need help with 3 and 4.

Answers

A) Problem 3

Answer: third option 11.5

Explanation:

1) Since this is a right triangle you can use the trigonometric ratios.

2) sin (α) = opposite-leg / hypotenuse

3) α = 35°; opposite-lge = x; hypotenuse = 20.

4) substitute values

sin(35°) = x / 20

5) Solve for x

x = 20 * sin (35°) = 11.47

6) Round to the nearest tenth: 11.5

Answer: third option 11.5

B) Problem 4

Answer: first option 8.3

Explanation:

1) Since it is a right triangle you can use trigonometric ratios

2) cos (α) = adjacent - leg / hypotenuse

3) α = 41°; adjacent - leg = x; hypotenuse = 11

4) Substitute values

cos (41°) = x / 11

5) Solve for x: x = 11 * cos (41°) = 8.30

6) Round to the nearest tenth: x = 8.3

Answer: 8.3

(3w-5)(1+w)=0
I need help pls!!

Answers

you need to set both of them equal to zero to find what w is. so its 3w-5=0 you add 5 to get w by itself so then its 3w=5 and then divide by 3 so w= 5/3
1 + w = 0 so then you subtract one to get to the other side so w = -1

the final solution is {5/3, -1}

Reorder the terms:

(-5 + 3w)(1 + -1w) = 0

Multiply (-5 + 3w) * (1 + -1w)

(-5(1 + -1w) + 3w * (1 + -1w)) = 0

((1 * -5 + -1w * -5) + 3w * (1 + -1w)) = 0

((-5 + 5w) + 3w * (1 + -1w)) = 0

(-5 + 5w + (1 * 3w + -1w * 3w)) = 0

(-5 + 5w + (3w + -3w2)) = 0

Combine like terms: 5w + 3w = 8w

(-5 + 8w + -3w2) = 0

Solving

-5 + 8w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.

(-5 + 3w)(1 + -1w) = 0

Pythagorean Theorem in Cones. Please help

Answers

3^2 + height^2 = 9^2

9 + height^2 = 81
height ^2 = 72

height = sqrt(72)

Which equation can solve for x

Answers

I would say answer D hopefully it is correct.

Answer Choice B is correct
And if you finished solving the x value is 2

Hope this helped you :)

I neeeeed help please

Answers

17. You are supposed to use the perimeter formula for a rectangle. Your text has apparently written that formula as
.. P = 2w +2l
You are given values for P and l. Put them in the formula.
.. 6 = 2w +2*1
Solve in the usual way. First, subtract 2.
.. 4 = 2w
Then, divide by 2
.. 2 = w
You have found w, and it is 2.

_____
Personally, I like to write the perimeter formula for a rectangle as
.. P = 2(w +l)
Usng this version, we can fill in values and get
.. 6 = 2(w +1)
Dividing by 2 gives
.. 3 = w +1
Subtracting 1, we get
.. 2 = w

2 common factors of 36 and 48

Answers

One common factor is 6 since they are both divisible by 6.
2 is also a common factor of 36 and 48 for the same reasons.
Hope this helps!

HELP ASAP WILL GIVE BRAINLIEST IF RIGHT

The dot plot shows the height, in feet, of a group of trees being studied.

How many trees are being studied?

Enter the answer in the box.

[______]

Answers

It looks like there are 13 trees being studied.

This is assuming that one dot = one tree.

Is the figure on the right congruent to the sample figure? EXPLAIN.

Answers

Yes, because they are equal and have the same measurement same size and same shape.

The corresponding sides on both rectangles have the same length.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both

The given rectangles are congruent to each other as the corresponding sides to the rectangle on the left have the same length as the corresponding sides of the rectangle to the right.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ3

The surface area of the triangular prism is?

A. 540 Square Meters

B. 552 Square Meters

C. 576 Square Meters

D. 624 Square Meters

Answers

If I did my math right, the right answer should be that the surface area of this triangular prism is 576 square meters.

Final answer:

The area of a triangle with a base of 166 mm and height of 930.0 mm is found by converting the measurements to meters and using the formula A = 1/2 × base × height. It calculates out to be 0.07719 m² and should be reported as 0.0772 m² to match the least number of significant figures provided in the measurements.

Explanation:

To calculate the area of a triangle, you use the formula A = 1/2 × base × height. Given the base is 166 mm and the height is 930.0 mm, first, you need to convert the measurements to meters by dividing them by 1000 (since there are 1000 millimeters in a meter), which gives us 0.166 m for the base and 0.930 m for the height. Then you plug these values into the formula:

A = 1/2 × (0.166 m) × (0.930 m)

So the area of the triangle is:

A = 1/2 × 0.15438 m²

A = 0.07719 m²

This result should be reported with the proper number of significant figures. Given that the base was provided to three significant figures and the height to four, the area should also be reported to three significant figures since the number of significant figures in the answer is determined by the measurement with the fewest significant figures. Therefore:

Area = 0.0772 m²

Can someone plz help me with this question

Answers

A = L*W
A = (2r+3)*(r -4)
Use the distributive property, three times in total.
.. = 2r(r -4) +3(r -4)
.. = 2r^2 -8r +3r -12
Collect terms.
A = 2r^2 -5r -12

Rounding 9 1\3 to the nearest whole number

Answers

The answer is 9 because one third is closer to 0 then 1

The answer is 28/3
Have an nice day

Algebra 1
The sum of two numbers is 186. The difference between the same numbers is 32. what are the two numbers?

Answers

[tex]x + y = 186 \\ y - x = 32 \\ 2x = 186 - 32 \\ 2x = 154 \\ x = 77 \\ y = 77 + 32 = 109[/tex]
X is 77
Y is 109

Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.

What can be concluded about the two distributions?

Select each correct answer.

The distributions are somewhat similar.

The means-to-MAD ratio is 1.5.

The distributions are similar.

The means-to-MAD ratio is 3.

Answers

Hello,

B.
The means-to-MAD ratio is 1.5.D.
The distributions are somewhat similar.

mark brainiest mate!

what is the product (x+2)(x^2-2x+4)

Answers

Answer:

x^3+8

Step-by-step explanation:

(x+2)(x^2-2x+4)

x^3-2x^2+4x+2x^2-4x+8

x^3+8

The people who "consume" or use the travel product are called _____.
A---suppliers
B---consumers
C---intermediaries
D---distributors

IM TERRIBLE AT MATH
HELP PLEASE

Answers

I believe its B.

Hope this helps!

Answer:

B. Consumers literally read the question?

Step-by-step explanation:

how do you do the formula a2+b2=c2

Answers

In the formula a^2 + b^2 = c^2, a is (most often) the height of the triangle, b is the length of the triangle, and c is the last side-length connecting a and b, called the hypotenuse. The formula states that a and b must form a 90 degree angle, and that a^2 + b^2 = c^2.

So, to find x in this triangle:

x^2 + 8^2 = 12^2
x^2 + 64 = 144
x^2 = 80
x = 8.94

Hope this helps!

The function f(x)=square root -x is shown on the graph. Which statement is correct?

Answers

The domain of the the function f(x)=sqrt (-x) which has been shown in the graph is:
Domain:
{x ∈ R: x≤0}

This means that the domain is all non-positive real numbers.

The answer is:
d] The domain of the function is all real numbers less than or equal to 0.

Answer:

Step-by-step explanation:

i just did the test and got it right.

Angle JKL and MKQ are complementary angles.
The measure if angle JKL is twice the measure of angke MKQ.
Write one equation to find x, the measure if angle MKQ, and then solve for x
Enter your equation and your solution in the space provided

Answers

Hi, to answer this question you need to know that complementary angle will add up to 90 degrees. If the angle of MKW is x, then angle JKL is 2x (twice the measure). The sum of both of these would be 90°. You can show this as x + 2x=90. Simplify this to 3x=90. Then divide by 3 on both sides to get x=30 degrees.

The equation of the complementary angles can be represented as 2x + x = 90° and the measure of ∠MKQ is 30 degrees.

What are complementary angles?

Complementary angles are angles that sum up to 90 degrees. The angles complement each other.

Therefore,

∠JKL + ∠MKQ = 90°

let

∠MKQ = x

Hence,

∠JKL = 2x

Therefore,

2x + x = 90°

3x = 90

divide both sides by 3

3x / 3 = 90 / 3

x = 30

learn more on complementary angles here:https://brainly.com/question/5366669

#SPJ2

Zane weighs 50 kilograms. What is his weight in pounds? (The proportional relationship between kilograms and pounds is .)
100 pounds
22.72 pounds
110 pounds
1100 pounds

Answers

110 pounds is the correct answer.

Jordan and Roman travel the same route to work. Jordan leaves work one morning and drives at a rate,r, of 56 mph. Roman leaves the house soon after, when Jordan has already traveled 2 mo. Roman drives at a rate of 60 mph. How long after Jordan leaves home well Roman catch up to her? How many miles into the commute Will this occur

Answers

60 mph................

Answer: Roman will catch up Jordan after 0.5 h, and they will be 30 miles into the conmute.

Explanation:

1) Data:

Jordan's speed: r1 = 56 mi / h

Roman's speed: r2 = 60 mi / h

Jordan's initial position: 2 miles

Roman's initial position: 0 miles

2) Formula:

Both motions are at constant speed, so rate = distance / time

Position = Initial position + distance run = initial position + rate * time

3) Solution:

Jordan's position, x1 = 2 mi + 56 mi / h * t

Roman's position, x2 = 0 mi + 60 mi/h * t = 60 mi / h

They start driving at the same time, so their times are equal.

When Roman catch up Jordan their position are equal => x1 = x2

=> 2 + 56t = 60 t

=> 60t - 56t = 2

=> 4t = 2

=> t = 2/4 = 0.5 hours

Now you can calculate the position of both in the commute:

From Jordan's rate: x1 = 2 mi + 56 mi /h * 0.5 h = 2mi + 28mi = 30 mi

From Roman's rate: x2 = 60 mi/h * 0.5 h = 30 mi

Answer: Roman will catch up Jordan after 0.5 h, and they will be 30 miles into the conmute.

Find the volume of the bag and candle.Round to the nearest tenth

Answers

The volume of the bag will be found by multiplying the length times the width times the height. This would be 5.5 x 3 x 8. The volume of the bag is 20.9 cubic inches. The volume of the candle would be found by using the formula for finding volume of a cylinder. V =pi(approximately 3.14) x r^2 x h, where r is the radius( half the diameter) and h is the height. V = 3.14 x 1.25 x 1.25 x 6. The volume of the cylinder would be 29.4 cubic inches.

The area of a square is 144 in². What is the length of the square in feet?

Answers

the answer should be 1

The answer would not be 1. All you need to do is divide 144 by 12 to get 12. There is no possible way for it to be 1.

Rewrite each expression using each base only once.

(-6)^12 * (-6)^3 * (-6)^2

2^2 * 2^7 * 2^0

Simplify each expresion.

5c^4 * c^6

(-2.4n^4)(2n^-1)

(4c^4)(ac^3)(-3a^5c)

a^6b^3 * a^2b^-2

Answers

Rewrite each expression using each base only once.

(-6)^12 * (-6)^3 * (-6)^2
(-6)^(12+3+2)
(-6)^(17)
Answer:
(-6)^(17)

2^2 * 2^7 * 2^0
(2)^(2+7+0)
(2)^(9)
Answer:
(2)^(9)

Simplify each expresion.

5c^4 * c^6
5*c^(4+6)
5*c^(10)
Answer:
5*c^10
(-2.4n^4)(2n^-1)
(-2.4*2)(n^4)(n^-1)
(-2.4*2)(n^(4+(-1))
(-4.8)(n^(4-1))
(-4.8)(n^(3))
Answer:
(-4.8)(n^(3))

(4c^4)(ac^3)(-3a^5c)
((4)*(-3))*(c^(4+3+1))*(a^(1+5))
(-12)*(c^(8))*(a^(6))
Answer:
(-12)*(c^8)*(a^6)

a^6b^3 * a^2b^-2
(a^(6+2))*(b^(3+(-2)))
(a^(8))*(b^(3-2))
(a^(8))*(b^(1))
(a^8)*(b)
Answer:
(a^8)*(b)

I NEED SOMEONE TO ANSWER A SCALE FACTOR PROBLEM AND WILL AWARD BRAINLIEST

Answers

Use a ratio to answer this:
24/10
Simplified, this is 12/5, also 240%.
Hope this helps!

Need some help. Find the distance of the line PQ.

I tried multiplying the radius by 2 but that’s not the answer :/ simple equation but I’m blanking

Answers

distance = sqrt (x2-x1)^2 + (y2-y1)^2

distance = 5

how many 1/2 cups servings of cereal are in 2 cups of cereal ?

Answers

There are 4 1/2 cups of cereal in 2 cups

Other Questions

Summarize the precedent of "judicial review," which was established in the case of Marbury v. Madison. ________ make up the largest single business market in the united states. Which countries claimed the least territory in North America in 1796 What is the solution to the equation 5x + 2y = -9a.(2,-4)b.(-1,2)c.(-2,5)d.(1,-3) Ever since his mother began to give julio gold stars for keeping his bed dry all night, julio discontinued his habit of bed-wetting. his change in behavior best illustrates the value of Given that the vapor pressure of water is 17.54 torr at 20 c, calculate the vapor-pressure lowering of aqueous solutions that are 2.20 m in (a) sucrose, c12h22o11, and (b) aluminum chloride. assume 100% dissociation for electrolytes. In the ocean, small remora fish are often found cleaning bacteria and other parasites from the mouths and gills of swordfish. Which of the following phrases best explains this interaction? A. animal affecting the life of an animal B. climate affecting the life of an animal C. plant affecting the life of an animal D. weather affecting the life of an animal Planet C has a tilt of zero degrees. What seasonal changes would be expected on this planet? Extreme temperature changes between seasons No change in temperatures between seasons Seasonal changes along the equator only Seasonal changes at the poles only The nucleus of an isotope of sulfur contains 34 neutrons. what is the atomic number of this isotope? Eighty-nine percent of illnesses among children in child care settings are attributed to which of the following what is 2.8 millimeters written in expanded form? identify and describe the two defining concepts of political geography. which geometric construction is shown below The flexibility of the original united states constitution is due mainly to: The circumference of a circle is 10 cm. What is the Radius of the circle? A)4 cm B)5 cm C)10 cm D)20 cmASAP What is the correct order for the history of cell research? Koch studies tuberculosis ------>Schwann studies cell division ----> Hooke first uses a microscope Schwann studies cell division -----> Hooke first uses a microscope ----> Koch studies tuberculosis Hooke first uses a microscope -----> Schwann studies cell division ----> Koch studies tuberculosis Hooke first uses a microscope ----> Koch studies tuberculosis ---> Schwann studies cell division Instead of accident prevention, health workers prefer the term "____. It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function.The domain is all integers from 0 to 6 hours.The domain is all even integers from 0 to 6 hours.The domain is all real numbers from 0 to 6 hours.The domain is all positive real numbers. A senior center would like to add a new computer to their library so that members can check their email and read book reviews online; which computer will best suit their needs? a media production computer a laptop In the years after the revolutionary war, there were several conflicts that the federal government did not have the authority to resolve under the articles of confederation. match the conflicts with the weakness in the articles of confederation that would lead george washington to describe the confederation government as "a half-starved, limping government."