well if he spends $30 a week the the money should last about 3 weeks. so there wold be 3 weeks worth of money each month. so you can assume that he uses $1080 a year. and he buys fast food for 36 weeks.
Answer:
13.1666666667 or 13.17
Step-by-step explanation:
The mean is the average of the numbers. So you should add 16, 12, 16, 8, 14, and 13. When you add all of these up, you get 79. Then, you divide 79 by the number of numbers there are. Since there are 6 cats, there are 6 numbers. 79 divided by 6 equals 13.1666666667. Now we round the number to the nearest tenth and we will get 13.17.
Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Answer:
y=3x+1
Step-by-step explanation:
add 3x to both sides of the equation to get it in standard form, then the slope is 3x meaning that you go up 3 units and to the right 1 unit. since our y-intercept is at 1 we start this from there as shown in the images above^
Answer:
Equations:
y + 10x = 23
y + 15x = 33
cost of basket with 25 apples = $53
Step-by-step explanation:
A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"
Cost of basket and 10 apples is $23. We can transform this statement into an equation as:
y + 10x = 23 Equation 1
Similarly,
Cost of basket and 15 apples is $33. This gives us another equation:
y + 15x = 33 Equation 2
Subtracting Equation 1 from Equation 2 , we get:
y + 15x - (y +10x) = 33 - 23
5x = 10
x = 2
Using the value of x in equation 1, we get:
y + 10(2)= 23
y = 23 - 20
y = 3
This means, cost of basket is $3 and cost of each apple is $2.
Now we can calculate the cost of basket with 25 apples, which will be:
Cost of basket + Cost of 25 apples = Total Cost
3 + 25(2) = 3 + 50 = $53
