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Harrizon [31]
4 years ago
14

If z is directly proprotional to x and z = 12 when x = 3, find the value of x when z = 18

Mathematics
1 answer:
elixir [45]4 years ago
3 0

Answer:

  • 4.5

Step-by-step explanation:

<u>z is directly proportional to x</u>

  • z = kx, where k is coefficient

If z = 12 when x = 3

<u>Then we have</u>

  • 12 = 3k
  • k = 4

So the coefficient is 4

<u>When z = 18, we have</u>

  • 18 = 4x
  • x = 18/4
  • x = 4.5
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Which pair of expressions are equivalent?
Zielflug [23.3K]

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

4 0
3 years ago
Is it weird to be listening to Christmas songs right now
Verdich [7]

Answer:

Yes and No

Step-by-step explanation:

Yes, it is weird because Halloween comes first.

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3 years ago
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Bryce intended to swim directly across a stream that is 99 meters wide. But the current caused him to arrive at the opposite sho
Misha Larkins [42]

Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

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6 0
3 years ago
Im Confused… <br><br> ( The question is in the image )
erma4kov [3.2K]

Answer:

488

Step-by-step explanation:

Area of rectangle: 17 x 22 = 374

Area of triangle: 22 - 10 = 12

0.5(12 x 19) = 114

Add them together: 374 + 114 = 488

6 0
3 years ago
It is known that 1.4&lt; square root of 2 &lt;1.5. Find all possible values of the expression 2-square root of 2. How do I find
horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

4 0
3 years ago
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