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aksik [14]
3 years ago
11

Cate wants to buy calzones and sodas for her friends she finds that when she buys two calzones and three sodas she pays $13 when

she buys three calzones and two sodas she pays $17 the prices for a calzone c and a soda s can be found with the following system of equations 2c+3s=13 write the prices for a calzone and for soda as an ordered pair (c,s) 3c+2s=17 Help!!

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)

Step-by-step explanation:

Let c be the prize of calazone

Let s be the prize of soda

She buys two calzones and three sodas she pays $13

So, 2c+3s=13

She buys three calzones and two sodas she pays $17

So, 3c+2s=17

Plot the equations on graph

2c+3s=13 --- Green

3c+2s=17 --- Blue

Intersection point will give the intersection point

So,(c,s)=(5,1)

So, Option c is correct

The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)

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Answer:

a) the area of a square is in terms of x is

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b)The length of the rectangle is l = (x+1)

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The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

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3 years ago
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Answer:

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Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

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Probability of a defective item:

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