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Brrunno [24]
3 years ago
8

Trent earned a total of $18 by selling 6 cups of lemonade. After selling a total of 12 cups of lemonade, how much money will Tre

nt have made in all?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:$36


Step-by-step explanation:

He has sold 6 and made $18 6x2=12 2x18=36

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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
Please answer below thx.
slava [35]

Answer:

24 cm

Step-by-step explanation:

since the two triangles are similar,

10cm/20cm = 36cm _ h/h

8 0
3 years ago
CAN SOMEONE HELP ME PLSSS THIS IS THE END OF THE YEAR TEST AND ITS DUE TODAY
sammy [17]

Answer:

I gotchu <333

Step-by-step explanation:

A: y = 0.50x + 5

(y= total amount of money)

(+5 = birthday money)

B: (25) = 0.50x+5

   -5                  -5

--------------------------------

                20 = 0.50x                gilberto needs to get 40 correct answers

(divided) / 0.50    /0.50

-------------------------------------

40 = x          

C:

y= 0.50 (12) + 5                gilberto will recieve 11 dollars !

y = 6+ 5

y = 11

3 0
2 years ago
Why is the vertex of vertex form y=a(x-h)^2+k (h,k) rather than (-h,k)? If that was y=2(x-5)^2+6, the vertex would be at (5,6) w
Sindrei [870]

9514 1404 393

Answer:

  (5, 6) is (h, k)

Step-by-step explanation:

Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).

Parent:

  f(x) = x^2

Transformed:

  f(x) = a(x -h)^2 +k

__

When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...

  • a = 2
  • -h = -5   ⇒   h = 5
  • k = 6

Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.

7 0
3 years ago
mya average 86 points on five tests. what would she have to score on the sixth test to bring her average up by one point
Ray Of Light [21]

Answer:

The answer is 88.

She would have to score 88

Step-by-step explanation:

86 + 88 = 174

174 ÷ 2 = 87

4 0
3 years ago
Read 2 more answers
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