Answer:
The minimum boxes of cookies is 39
Step-by-step explanation:
Let
x ----> the number of boxes of cookies sold
y ----> the number of boxes of candies sold
we know that
The word "at least" means "greater than or equal to"
so
The inequality that represent this problem is
![5.25x+8.75y\geq 200](https://tex.z-dn.net/?f=5.25x%2B8.75y%5Cgeq%20200)
The solution is the shaded area above the solid line ![5.25x+8.75y=200](https://tex.z-dn.net/?f=5.25x%2B8.75y%3D200)
using a graphing tool
The solution is the shaded area -----> see the attached figure
Find out the minimum boxes of cookies needed to sell to reach the goal
assuming only cookies are sold
For y=0
![5.25x+8.75(0)\geq 200](https://tex.z-dn.net/?f=5.25x%2B8.75%280%29%5Cgeq%20200)
![5.25x\geq 200](https://tex.z-dn.net/?f=5.25x%5Cgeq%20200)
solve for x
![x\geq 38.1](https://tex.z-dn.net/?f=x%5Cgeq%2038.1)
Round up
therefore
The minimum boxes of cookies is 39
Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.
Step-by-step explanation:
for a linear function y = a*x + b
Rate = coefficient that is multiplicating the variable. ( a in this case)
Initial value = value taken of y, when we have x = 0 (b in this case)
Specific value = value forced on y.
In this case, we have:
y = 6 = 2*x + 4
Then:
The coefficient multiplicating x is 2, so the rate is 2.
The constant term is 4, so the initial value is 4.
The value equal to y is 6, so the specific value is 6.
The correct option is B.
Answer:
Step-by-step explanation:
No esay but they just do
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240 proportion
160e = (100)(240)
160e = 24000
elves = 150
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
![\Rightarrow m_1 \cdot m_2=-1](https://tex.z-dn.net/?f=%5CRightarrow%20m_1%20%5Ccdot%20m_2%3D-1)
![\Rightarrow 0.25\cdot m_2=-1](https://tex.z-dn.net/?f=%5CRightarrow%200.25%5Ccdot%20m_2%3D-1)
![\Rightarrow m_2=\frac{-1}{0.25}](https://tex.z-dn.net/?f=%5CRightarrow%20m_2%3D%5Cfrac%7B-1%7D%7B0.25%7D)
![\Rightarrow m_2=-4](https://tex.z-dn.net/?f=%5CRightarrow%20m_2%3D-4)
Point-slope intercept formula:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
and ![m=-4](https://tex.z-dn.net/?f=m%3D-4)
Substitute these in the formula, we get
![y-8=-4(x-(-6))](https://tex.z-dn.net/?f=y-8%3D-4%28x-%28-6%29%29)
![y-8=-4(x+6)](https://tex.z-dn.net/?f=y-8%3D-4%28x%2B6%29)
![y-8=-4x-24](https://tex.z-dn.net/?f=y-8%3D-4x-24)
Add 8 on both sides of the equation.
![y-8+8=-4x-24+8](https://tex.z-dn.net/?f=y-8%2B8%3D-4x-24%2B8)
![y=-4x-16](https://tex.z-dn.net/?f=y%3D-4x-16)
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16