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marysya [2.9K]
4 years ago
8

Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Ea

ch friend gets the same number of cards. How many cards does each friend get?
Mathematics
2 answers:
Dafna1 [17]4 years ago
4 0
Let x be the number of cards in the $27 set, then Nicole has 2 friends that have $9 each. This makes 3 people, therefore each person gets x/3 cards. So each friend would get 1/3 of the cards.
hodyreva [135]4 years ago
4 0

Answer:  Number of cards each friend gets is given by

\frac{x}{3}

Step-by-step explanation:

Let the number of cards be x.

Since we have given that

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Since she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds is given by

\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}

Now, Number of cards each friend gets is given by

\frac{x}{3}


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4 0
3 years ago
Two planes are orthogonal if their normal vectors are orthogonal. Find the equation of a plane that is orthogonal to the plane 3
erica [24]

Answer:

X-5Y-4Z+12=0

Step-by-step explanation:

Plan P1 = 3x-y+2z=1. with A=(1,1,2); B=(2,2,1); we must will find V1 from P1,

V1 =(3,-1,2) and AB = (2-1,2-1,1-2) = (1,1,-1) now we find V2 by vector product.

V2 =V1.X,AB =\left[\begin{array}{ccc}i&j&k\\3&-1&2\\1&1&-1\end{array}\right] = i+2j+3k-(2i-3j-k)=V2=(-i+5j+4k); (aplying sarrus method)

according to general plan formula a(X-Xo)+b(Y-Yo)+c(Z-Zo); V=(a,b,c)

V2=(-1,5,4) ; A=(1,1,2);  so -(X-1)+5(Y-1)+4(z-2)=0  → -X+1+5Y-5+4Z-8=0  →

-X+5Y+4Z+1-5-8=0 → -X+5Y+4Z-12=0 (-1) → Plan equation X-5Y-4Z+12=0

4 0
3 years ago
Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675
kvv77 [185]

Answer:

Part a)

Mean: 13155.6

Mode:None

Median: 12700

Step-by-step explanation:

12700 : 1

15478: 2

12675: 3

11850: 4

13075: 5

Mean :  

=\frac{Sum of all values}{Total no. of values} \\=\frac{12700 + 15478 + 12675 + 11850 + 13075}{5}\\=\frac{65778}{5}\\= 13155.6

Mode:

All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.

Median:

Arrange the values in ascending order:

11850 , 12675, 12700, 12075, 15478

The mid value is median: 12700


Part b)

It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.

The reason is that there is a potential outlier in the data  i.e 15478. In case of outlier median tends to give better predictions.

6 0
3 years ago
An octagon has seven sides which have a length of k feet. The eighth side has a length of 3.9 feet, as shown below. The perimete
diamong [38]

Answer:

K is 3.4 feet

Step-by-step explanation:

To find the perimeter of the octagon, we add up the lengths of all the sides

For this particular octagon;

7 * k + 3.9 = 27.7

7k + 3.9 = 27.7

7k = 27.7-3.9

7k = 23.8

k = 23.8/7

k = 3.4 feet

7 0
3 years ago
Help me please I don’t get it :(
ioda

Answer

Im pretty sure its C

Step-by-step explanation:

8 0
3 years ago
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