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sattari [20]
3 years ago
12

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students pref

er hip-hop music, how many sixth-grade students are at the school? Explain and show your reasoning.
Mathematics
1 answer:
Rainbow [258]3 years ago
7 0
100 x 0.4 = 40. So 40 students listen to hip hop
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HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
2 years ago
Find a polar equation for the curve represented by the given cartesian equation. X2 + y2 = 2cx
Tanzania [10]
Hi,


Work:

Equation;

x2 + y2 = 2cx

Factor out 2x from expression.


2x \times (1 + yc)

Use commutative property to reorder yc.

2x \times (1 + cy) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: result


Hope this helps.
r3t40
4 0
3 years ago
The sum of two numbers is 76 and their difference is 52. Find the two numbers.<br> Please explain
Yanka [14]

Step-by-step explanation:

hope it helps first find one number and then multiply one number by 2

6 0
3 years ago
A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?
Anna71 [15]
The y-intercept is 1
3 0
3 years ago
Read 2 more answers
Someone please help me
kap26 [50]

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

8 0
3 years ago
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