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Naily [24]
3 years ago
8

Lucia buys a backpack that is 30% off. The original price was $39.99.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

6. Because to decrease = number × 100-% over 100(as a fraction)

which is =39.99 ×100-30% over 100

= 39.99 × 70/100

=27.993

After you take your answer from the decrease and subtract from the original price which is 39.99

39.99-27.993 *note the 39.99 has a zero at the end

the answer = 11.997 Rounded off it becomes 12

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Brian flips a fair coin 3 times.<br> What is the probability of getting 3 tails?
Sliva [168]

Answer:

the answer is one over eight

the formula says required outcome divided by sample space

the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails

3 0
3 years ago
Read 2 more answers
What is the x value?
Black_prince [1.1K]

Answer:

The correct answer is x = 12.

Step-by-step explanation:

To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles.  This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected.  This is modeled below:

9x - 54 = 4x + 6

Now, we can solve this equation like any other.  The first step is to subtract 4x from both sides.

9x - 4x - 54 = 4x - 4x + 6

5x - 54 = 6

Then, we should add 54 to both sides.

5x - 54 + 54 = 6 + 54

5x = 60

Finally, we can divide both sides by 5.

5x/5 = 60/5

x = 12

Therefore, the correct answer is x = 12.

Hope this helps!

5 0
4 years ago
Read 2 more answers
Find two numbers that multiply to 36 and add to -20
wel

Answer:

-18+2 hope it will help u

5 0
3 years ago
Which of the following is a mixed number. 2/5,5/2,2.3,2 1/2
icang [17]
2 1/2 is a mixed number

5 0
3 years ago
You are given the polar curve r = e^θ
galina1969 [7]

The tangent to r(\theta)=e^\theta has slope \frac{\mathrm dy}{\mathrm dx}, where

\begin{cases}x(\theta)=r(\theta)\cos\theta\\y(\theta)=r(\theta)=\sin\theta\end{cases}

By the chain rule, we have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}

and by the product rule,

\dfrac{\mathrm dx}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\cos\theta-r(\theta)\sin\theta

\dfrac{\mathrm dy}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\sin\theta+r(\theta)\cos\theta

so that with \frac{\mathrm dr}{\mathrm d\theta}=e^\theta, we get

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^\theta\sin\theta+e^\theta\cos\theta}{e^\theta\cos\theta-e^\theta\sin\theta}=\dfrac{\sin\theta+\cos\theta}{\cos\theta-\sin\theta}=-\dfrac{1+\sin(2\theta)}{\cos(2\theta)}

The tangent line is horizontal when the slope is 0; this happens for

-\dfrac{1+\sin(2\theta)}{\cos(2\theta)}=0\implies\sin(2\theta)=-1\implies2\theta=-\dfrac\pi2+2n\pi\implies\theta=-\dfrac\pi4+n\pi

where n is any integer. In the interval 0\le\theta\le2\pi, this happens for n=1,2, or

\theta=\dfrac{3\pi}4\text{ and }\theta=\dfrac{7\pi}4

i.e at the points

(r,\theta)=\left(e^{3\pi/4},\dfrac{3\pi}4\right)

and

(r,\theta)=\left(e^{7\pi/4},\dfrac{7\pi}4\right)

8 0
3 years ago
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