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Alekssandra [29.7K]
3 years ago
13

a group of 4 people go out to eat. they decide to split the bill so each person pays 1/4 of the total price. appetizers are $6 a

nd main dishes are $9. write an expression to show how many each person pays.
Mathematics
2 answers:
Llana [10]3 years ago
8 0
Assuming y is the price each person pays and each person gets and appetizer and a main dish...

y = ($9 + $6) × 4 people × 1/4
y = ($15) × 4 × 1/4
y = $60 × 1/4
y = $15 each
KonstantinChe [14]3 years ago
8 0
($9+$6)•4•1/4=$15 that is my answer I think it is right.
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Write the equation of circle b with center B(-2,3) that passes through (1,2)
professor190 [17]

Answer:

(x+2)^2 + (y-3)^2 = 10

Step-by-step explanation:

The standard equation for circle is

(x-a)^2 + (y-b)^2 = r^2

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

(x-a)^2 + (y-b)^2 = r^2    \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2  \\=>(x+2)^2 + (y-3)^2 = r^2    (1)

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

\\=>(x+2)^2 + (y-3)^2 = r^2    \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=>  r^2  = 10\\

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is =>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10

7 0
3 years ago
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0
3 years ago
Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck was in the week tot
GrogVix [38]

Answer:

12.2%

Step-by-step explanation:

Her total paycheck minus her salary = the commission amount

So

6500 - 1000 = 5500

So....her commission as a percentage of sales  = 5500/ 45000 = about 12.2%

3 0
3 years ago
Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression
faust18 [17]

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

7 0
3 years ago
Make t the subject of 5(t − g) = 2t + 7
Alla [95]

Answer:

5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t =  \frac{7 + 5g}{3}

5 0
3 years ago
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