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Kazeer [188]
4 years ago
7

When ordering a sundae, you may choose three toppings from their list of 10 available. Assuming that your chosen toppings must b

e different, how many different sundaes with three toppings can you order?
Mathematics
1 answer:
Nastasia [14]4 years ago
8 0

Answer:

there are 120 different sundaes with three toppings you can order.

Step-by-step explanation:

If the chosen toppings must be different, then that means it's a Combination where the order doesn't matter (as long as they're all different).

Equation: 10C3

Forming Equation: 10!/(10-3)!*3!=10*9*8*7!/7!*3!=10*9*8/6=720/6=120

Therefore, there are 120 different sundaes with three toppings you can order.

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PLEASE ANSWER I WILL GIVE BRAINLIEST PLEASE ANSWER BOTH!!
garri49 [273]

Answer:

t = 130s

Step-by-step explanation:

s = 3.9 * 10^{7} km

v = 3 * 10^{5} km/s

t = ?

t = \frac{s}{v}

t = \frac{3.9 * 10^{7} km}{3 * 10^{5}km/s }

t = 130 s

If the speed signal sent was actually less, meaning that it would take more time to signal arrives from Earth to Mars. The lower the speed, the higher the time.

7 0
3 years ago
Please help i will give brainliest and thanks !!!!
Juliette [100K]

Answer:

6 trees and 12 bushes

Step-by-step explanation:

6 trees will be 474

12 bushes will be 276

474+276=750

6+12=18

hope this helps

6 0
3 years ago
The coordinates of one point of a line segment ate (-2,-7). The line segment is 12 units long. Give three possible coordinates o
Paul [167]

Answer:

  (-2, 5), (-2, -19), (5.2, 2.6)

Step-by-step explanation:

You can add ±12 to either the x- or the y-coordinate, as was done in the first two answers above.

Or, you can figure the side lengths of a triangle with hypotenuse 12 and add those to the coordinates. For example, a 3-4-5 right triangle multiplied by 2.4 will have side lengths of 7.2, 9.6 and a hypotenuse of 12. Hence we can find one of your end points to be ...

  (-2+7.2, -7+9.6) = (5.2, 2.6)

4 0
4 years ago
Find the difference. (-ab+8a-5)-(-8ab-4)
Minchanka [31]
<span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>−5</span>−<span>(<span><span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>−4</span>)</span></span> 

So first
Distribute the Negative Sign:

<span>=<span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>−5</span>+<span><span>−1</span><span>(<span><span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>−4</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>−1</span><span>(<span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−4</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>8a</span>b</span></span>+4</span></span><span>=<span><span><span><span><span><span>−<span>ab</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>8a</span>b</span></span>+4
</span></span>
Then after all of that 

Combine Like Terms:<span>=<span><span><span><span><span>−<span>ab</span></span>+<span>8a</span></span>+<span>−5</span></span>+<span><span>8a</span>b</span></span>+4
</span></span><span>=<span><span><span>(<span><span>−<span>ab</span></span>+<span><span>8a</span>b</span></span>)</span>+<span>(<span>8a</span>)</span></span>+<span>(<span><span>−5</span>+4</span>)

So now your answer is </span></span></span><span>=<span><span><span><span>7a</span>b</span>+<span>8a</span></span>+<span>−<span>1</span></span></span></span>
3 0
4 years ago
Read 2 more answers
How do you find the volume of a cylinder with these dimensions Diameter 25cm Height 7cm
Kryger [21]

Check the picture below.

\bf V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12.5\\ h=7 \end{cases}\implies V=\pi (12.5)^2(7) \\\\\\ V=1093.75\pi \implies V\approx 3436.12

8 0
3 years ago
Read 2 more answers
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