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IgorLugansk [536]
3 years ago
12

You helped organize a birthday party for twenty kids. You filled 150 water balloons and the kids smashed 4/5 of them in ten minu

tes. How many total balloons are leftover?
Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

30

Step-by-step explanation:

Okay, to find the number of balloons left over, disregard the number of kids and focus only on 150 balloons and that only 4/5 were "smashed." Multiply 150 by 4/5 to find the amount of balloons used, which is 120, and find the difference between 150 and 120, which is 30.

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Answer:

I Believe you are correct

Step-by-step explanation:

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3 years ago
Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to
Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, we have that the center is at point (0,2), hence:

x^2 + (y - 2)^2 = r^2

It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0
2 years ago
An item is regularly priced at $97. Lucy bought it at a discount of 55% off the regular price.
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7,14/5, 8/25 find the 7th term
tiny-mole [99]
I believe that would be 7
4 0
3 years ago
99 POINTS
yan [13]

Answer:

the function given f(x)=x^3

for 4 units up, just add 4 as a constant

4 units up means, every old value will now be 4 more than previous value. at x=0, y=0 in the transformed curse it should x=0 and y=4, so just add it.

f(x)=x^3+4

for 6 units left,

each old value of y should now occur 6 units before the old value of x i.e. X=x+6

for example, the point (0,0) should occur at (-6,0) in the transformed graph,

hence, f(x)=(x+6)^3

so the final curve is

f(x)=(x+6)^3+4

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3 years ago
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