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bonufazy [111]
3 years ago
13

Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a repr

esent the number of pairs of socks purchased and b the number of belts purchased
Mathematics
2 answers:
ratelena [41]3 years ago
5 0

Answer:

4.95a + 6.55b = 27.95

Step-by-step explanation:

it is C

Nookie1986 [14]3 years ago
3 0

Answer:

4.95a + 6.55b = 27.95

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Destiny paid $6.60 for a dozen cupcakes for a birthday patry. What is the unit cost for each cupcake?
Digiron [165]

Answer: $.55

Step-by-step explanation:

An important thing to know is that a dozen is equal to 12.

12x= 6.60

/12     /12

x=.55

3 0
3 years ago
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On Friday, 80 children and 48 adults went to a movie. What was the ratio of children to adults? A 5 to 3 B 10 to 4 C 6 to 3 D 2
Setler79 [48]
A .  Because one you make the ratio 80:48 you simplify (divide until you can divide anymore ).
7 0
2 years ago
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When a dummy variable is included in a regression model that has one numerical independent variable, what assumption do you need
sukhopar [10]

Answer:

Step-by-step explanation:

You need to assume that the slope between the dependent Varian and the numerical independent variable is zero.

In regression analysis, to find the effect of one independent variable on the dependent variable, there has to be no interference from the other independent variables whether they be categorical (dummy) or numerical independent variables.

A dummy variable is one which takes on the value of 0 or 1, to represent the absence or presence (respectively) of a given category which is expected to influence the dependent variable.

When a dummy independent variable is included in a regression model, to know the effect of that dummy or category (e.g. day =1, night =0) on the dependent variable, the influence of the numerical independent variable has to be removed temporarily.

In a regression equation,

Y=a+bX+cK

Y is the dependent variable

a is the intercept on the vertical axis on the graph

b is the slope between the dependent variable Y and the independent numerical variable X

c is the slope between the dependent variable Y and the dummy variable K

3 0
2 years ago
Maria needs to read a 1,500 page book in 10 days how many page does she has to read everyday
BabaBlast [244]
You simply do 1500 ÷ 10 to work out how many pages she needs to read in one day. The answer is 150 pages everyday.
3 0
2 years ago
Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]
Kay [80]

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set  S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, n^{13} \equiv n \mod p if p-1 divides 12.

Since the  of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in 2^{13}-2 and 3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

5 0
3 years ago
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