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Klio2033 [76]
2 years ago
6

An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and

takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
A) The airplane flies at 210 mi/h with no wind. The rate of the wind is 50 mi/h.
B) The airplane flies at 210 mi/h with no wind. The rate of the wind is 60 mi/h.
C)The airplane flies at 260 mi/h with no wind. The rate of the wind is 60 mi/h.
D)The airplane flies at 260 mi/h with no wind. The rate of the wind is 50 mi/h.
Mathematics
1 answer:
Mandarinka [93]2 years ago
4 0

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:

(a - b)3.2 = 640

a - b = 200   (1)

Also:

(a + b)2 = 640

a + b = 320    (2)

The solution to equation 1 and 2 is:

a = 260, b = 60

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Please help! I have a bunch more I will be posting as well , thank you! (:
notsponge [240]
15x + 30y = -10....reduce by dividing by 5
3x + 6y = -2...same as first equation...same line  ..means infinite solutions
5 0
3 years ago
Hector is competing in a 42 mile bicycle race, he has already completed 18 miles of the race ad is traveling at a constant speed
kkurt [141]
Time it took Hector to complete 18 miles is given by 18 / 12 = 1.5 hours.

Let the time when Wanda will catch up to Hector be t, then, the distance covered by Hector at the time they meet is 18 + 12t and the distance covered by Wanda at the time they meet is 16t.

Then, 18 + 12t = 16t
16t - 12t = 18
4t = 18
t = 18 / 4 = 4.5

Therefore, Wanda will catch up with Hector after 4.5 hours.
7 0
3 years ago
Which word best describes the degree of overlap between the two data sets? Low, High, None, Moderate
zlopas [31]

Answer:

In case of data set given with the question, the word that best describes the degree of overlap between the two data sets is low.

Step-by-step explanation:

Overlapping of two data sets means they contain common data or they have common elements in them.  

In case of given data set, the elements are represented by 'x'.

If we compare both, the elements at line 30 and 35 overlap.

We conclude that out of 15 elements in each data set,  only two of them overlaps. Hence the degree of overlap is low.

6 0
3 years ago
What is the value of the expression <br> 3<br> 6 - (- 11.5)?<br> 4
Digiron [165]

Answer: 31 hope this helped

Step-by-step explanation: I'm assuming your problem looks like this: 4+5*6-3 =? To solve this problem you need to use the order of operations. PEMDAS which stands for Parentheses, exponents, multiply and divide, and lastly add and subtract. You must multiply and divide before you add and subtract so you must do 5*6 first. You now get 4+30-3. Now all you have left is addition and subtraction so you now just go from right to left and do one at a time. So 4+30 = 34 , 34-3=31. Therefore your answer should be 31. Hope that helped!

8 0
3 years ago
Could someone please help me with this? Solution set of lx^2+mx+n=0 is...?
IgorLugansk [536]

Answer:

Simplifying

lx2 + mx + n = 0

Solving

lx2 + mx + n = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1mx' to each side of the equation.

lx2 + mx + -1mx + n = 0 + -1mx

Combine like terms: mx + -1mx = 0

lx2 + 0 + n = 0 + -1mx

lx2 + n = 0 + -1mx

Remove the zero:

lx2 + n = -1mx

Add '-1n' to each side of the equation.

lx2 + n + -1n = -1mx + -1n

Combine like terms: n + -1n = 0

lx2 + 0 = -1mx + -1n

lx2 = -1mx + -1n

Divide each side by 'x2'.

l = -1mx-1 + -1nx-2

Simplifying

l = -1mx-1 + -1nx-2

Step-by-step explanation:

Hope this helped you!

6 0
3 years ago
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