The combinations of batches that Rebecca can use are the solutions of:
120 ≤ 15*x + 12*y ≤ 360
One example is x = 10 and y = 0.
<h3>What combination of batches of each could Rebecca make?</h3>
Let's define the variables:
- x = number of batches of cookies.
- y = number of batches of cupcakes.
We know that she makes batches of 15 cookies and batches of 12 cupcakes, then the total number of baked goods that she makes is:
15*x + 12*y
And we know that she wants to make at least 120 and no more than 360, then we can write the inequality:
120 ≤ 15*x + 12*y ≤ 360
So any pair of values of x and y that make the inequality true, is a combination of batches that Rebecca could use.
An example is x = 10 and y = 0.
120 ≤ 15*10 + 12*0 ≤ 360
120 ≤ 150 ≤ 360
If you want to learn more about inequalities:
brainly.com/question/24372553
#SPJ1
Let
x-----------> is the <span>length of a prism
</span>y-----------> is the width of a prism
z-----------> is the height of a prism
<span>
we know that
[volume of a prism]=x*y*z------------> equation 1
x=2y-----------> equation 2
z=4+y---------> equation 3
V=48 m</span>³<span>
</span><span>I substitute 2 and 3 in 1
</span>V=x*y*z---------> V=(2y)*y*(4+y)--------> V=2y²*(4+y)
V=2y³+8y²-----------> 48=2y³+8y²---------> 2y³+8y²-48=0
the answer is
2y³+8y²-48=0 (<span>
polynomial function)
</span>
using a graph tool
see the attached figure
y=2 m
x=2y------->x=2*2-----> x=4 m
z=4+y-------> z=4+2-----> z=6 m
It's 180-50-50=180-100=80°
Steel balls are 1.5 pounds, brass are 2 pounds
Answer: ![\Large\boxed{Wage=\$240}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BWage%3D%5C%24240%7D)
Step-by-step explanation:
<u>Given information</u>
Paid = $15.00 / hour
Paid (Last 4 hours) = Doubled the usual pay rate
Total hour = 12 hours
<u>Given expression</u>
Wage = Pay rate × hours except for the last 4 hours + Double Pay rate × 4 hours
<u>Substitute values into the expression</u>
Wage = (15) × (12 - 4) + (15 × 2) × (4)
<u />
<u>Simplify values in the parenthesis</u>
Wage = 15 × 8 + 30 × 4
<u>Simplify by multiplication</u>
Wage = 120 + 120
<u>Simplify by addition</u>
![\Large\boxed{Wage=\$240}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BWage%3D%5C%24240%7D)
Hope this helps!! :)
Please let me know if you have any questions