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3 years ago

The discount on a pack of socks is 15%. It is on sale for $17. What is the original price of the pack of socks?

Mathematics

1 answer:

Aneli [31]3 years ago

4 0

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

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3 years ago

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Ayanna bought three dozen donuts from Dunkin Donuts. She wants to share these between herself and three friends. How many donuts

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

Ok... So there are 12 donuts in a dozen. And if she bought 3 dozen, she will have 36 donuts. If she plans to share them with her 3 friends, there will be 4 people total sharing the donuts. Then all you have to do is divide the 36 donuts among the 4 friends. 36/4=9. So they will all get 9 donuts.

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3 years ago

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There are eight hamsters at crazy peds pet shop that are completely brown. The rest of the hamsters at the shop or mixed colors.

Alina [70]

There are a total of 20 hamsters. I solved it by dividing the 8 hamster by 2 to get what 1/5 would be. After i know 1/5=4 hamsters i multiplied 4*5

4 hamsters is the same as 1/4 of all the hamster

8 hamsters=2/5

12 hamster=3/5

16 hamster=4/5

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3 years ago

There are 25 students that would like to go on a field trip, but only 18 may go. How many different combinations of students cou

Naya [18.7K]

480700. The different combinations of students that could go on the trip with a total of 25 student, but only 18 may go, is 480700.

The key to solve this problem is using the combination formula $nC_{r}=\frac{n!}{r!(n-r)!}$ . This mean the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

The total of students is n and the only that 18 students may go is r:

$25C_{18}=\frac{25!}{18!(7!)}=480700$

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3 years ago

Let the vector \mathbf{v}v have an initial point at (1, -2)(1,−2) and a terminal point at (0, 0)(0,0). Plot the vector \mathbf{v

ASHA 777 [7]

Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).

So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector, $\vec{v}$ , has been shown in the figure.

The magnitude of the vector:

$|\vec{v}|=\sqrt{(1-0)^2+(-2-0)^2}=\sqrt{1+4}=\sqrt{5}$

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.

From the figure, $\theta = 180 \degree\tan ^{-1} \left|\frac {0-(-2)}{0-1}\right|$

$\theta = 180 ^{\circ} - \tan^{-1}(2) = 180 ^{\circ} - 63.43^{\circ}$

$\theta =116.57 ^{\circ}$

Hence, the required vector having a magnitude $\sqrt {5}$ and direction $116.57 ^{\circ}$ has been shown in the figure.

4 0

3 years ago