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geniusboy [140]
2 years ago
6

Can y’all help me with this?

Mathematics
1 answer:
Makovka662 [10]2 years ago
3 0

9514 1404 393

Answer:

  A.  5 1/3

Step-by-step explanation:

The distance Amy ran on Tuesday was 2/3 mile. 8 times that distance is ...

  8(2/3 mi) = 16/3 mi = 5 1/3 mi

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at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
3 years ago
Given that y is directly proportional to x^2 and that y=2 when x=3 find the value of y when x=6
Sergio039 [100]

Answer:y=4/3

y is directly proportional to x^2 is written as

y \alpha  {x}^{2} introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

2 =  {3}^{2}  \times k

2=9k . <em>divi</em><em>ding</em><em> </em><em>throu</em><em>gh</em><em> </em><em>by</em><em> </em><em>9</em><em> </em><em>to</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>valu</em><em>e</em><em> </em><em>of</em><em> </em><em>k</em>

<em>\frac{2}{9}  =  \frac{9k}{9}</em>

<em>k =  \frac{2}{9}</em>

<em>pu</em><em>tting</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>ge</em><em>neral</em><em> </em><em>expres</em><em>sion</em>

<em>y =  \frac{2}{9} x</em>

<em>the</em><em> </em><em>valu</em><em>e</em><em> </em><em>of</em><em> </em><em>y</em><em> </em><em>whe</em><em>n</em><em> </em><em>x</em><em>=</em><em>6</em>

<em>y =  \frac{2}{9}  \times 6</em>

<em>y =  \frac{4}{3}</em>

<em>there</em><em>fore</em><em> </em><em>the</em><em> </em><em>valu</em><em>e</em><em> </em><em>of</em><em> </em><em>y</em><em> </em><em>when</em><em> </em><em>x</em><em>=</em><em>6</em><em> </em><em>is</em>

<em>4</em><em>/</em><em>3</em>

3 0
3 years ago
Anyone know how to solve this?
vampirchik [111]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
A scuba diver is at an elevation of −18 ft. She then descends 30 ft deeper. What is the scuba diver's new elevation?
sladkih [1.3K]
-18 - 30 = -48
The Scuba Diver is now 48 feet below sea level.
7 0
2 years ago
Solve this question<br>What is 511+85​
labwork [276]

Answer:596

Step-by-step explanation:

511+85​(5 is by itself),(8+1=9)(1+5=6)

511

+85

596

Hope I helped :D

7 0
3 years ago
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