Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. each apple cost $1.25 and each banana costs $0.40. she bought a total of 15 apples and bananas altogether. determine the number of apples and the number of bananas that nora bought.

apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number  of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 equation 1

Also,

1.25x + 0.40y = 11.95 equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is