Answer:
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
Step-by-step explanation:
Let the first integer:
As we are looking for a consecutive integer, so
The second integer would be:
We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.
Divide both sides by 2
Therefore,
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
Answer:
0.625
Step-by-step explanation:
Given the points :
(0, 4) and (-8, -1)
x1 = 0 ; y1 = 4
x2 = - 8 ; y2 = - 1
Slope, m = rise / run
Rise = y2 - y1 = - 1 - 4 = - 5
Rise = x2 - x1 = - 8 - 0 = - 8
The slope, m = - 5 / - 8
Slope, m = 0.625
1 pizza should cost $5.65
Pizza is $5.65 then bottle of coke is $2.45
3 pizzas and coke: ($5.65*3) + $2.45 = $19.4
I solved this by setting up and solving a system of linear equations:
Variables: p = pizza, c = coke
p = c+3.2
3p+c = 19.4
Solve by substitution
3(c+3.2) + c = 19.4
4c+9.6 = 19.4
c = 2.45
Re-plug in:
p = 2.45+3.2
p = 5.65
I believe the answer is 9.8
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.