Answer: a package of cookies cost $ 5 and each bag of chips cost $5
Step-by-step explanation:
Let x represent the cost of a package of cookies and y represent the cost of a bap of chips ,then from the first statement :
4x + 4y = 40
dividing through by 4 , we have
x + y = 10 ........................... equation 1
From the second statement
3x + 5y = 40 ..................... equation 2
Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is
x = 10 - y ................... equation 3
substitute x = 10 - y into equation 2 , we have :
3 (10 - y ) + 5y = 40
30 - 3y + 5y = 40
30 + 2y = 40
subtract 30 from both sides
2y = 40 -30
2y = 10
y = 5
substitute y = 5 into equation 3 , equation 3 becomes
x = 10 - 5
x = 5
Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5
Answer:
The ordered pairs that are presented are (7, 99.5) and (3, 51.5)
Step-by-step explanation:
We are given the cost function of the carnival rides as
which is a typical linear expression of the form 
where here 
, 
, 
and 
. To check if an ordered pair i.e. a point 
, is represented by the table we can simply plug in the equivalent 
value in the equation, and check if the result matches the 
value.
So, lets assume that all points are given correctly and they are as follow:
Now let us check each point with our function as follow:
<u>Point A</u>
So point A is part of the equation.
<u>Point B</u>
So point B is NOT part of the equation.
<u>Point C</u>
<u />
<u />
So point C is part of the equation.
<u>Point D</u>
<u />
<u />
So point D is NOT part of the equation.
It is 60,000 since its rounded to the nearest ten thousand.
if it were 60,500 it would round up to 70,000 but since the number is lower than 500, the answer is 60,000
Answer:
Step-by-step explanation:
They are equivalent. Use the distributive property.
3(x+3)
the 3 on the outside of the parenthesis is multiplied by the variable(the letter) and thenthe constant(number) inside the parenthesis.
makes and equivalent equation 3x+9
Answer:
C, (-3, -2, 3)
Step-by-step explanation:
I literally just had this question and i got a 100. You just find what the points are, and choose the y-axis point because it's the output, like the x-axis point is the input. So for starters, we can look at the point in the upper right square corner on the grid. You would go to the left 3 times, along the x-axis, and it would be -3. Then you would go up 2 times, along the y-axis, and it would be positive 2. So the plot for that point is (-3, 2) but we want the output which is the y-axis so it would be 2. Do the same with all of the points. [you can already rule out the first 2 choices because that's giving all of the points, not just the outputs] That leaves you with the bottom 2 and only one of the choices has the positive 2 which we already found. Hence, the answer is C. Trust me, it's not hard, i didn't have to read anything, i just figured it out. And if i can, you can. You got this!
