Answer:
minimum of 13 chairs must be sold to reach a target of $6500
and a max of 20 chairs can be solved.
Step-by-step explanation:
Given that:
Price of chair = $150
Price of table = $400
Let the number of chairs be denoted by c and tables by t,
According to given condition:
t + c = 30 ----------- eq1
t(150) + c(400) = 6500 ------ eq2
Given that:
10 tables were sold so:
t = 10
Putting in eq1
c = 20 (max)
As the minimum target is $6500 so from eq2
10(150) + 400c = 6500
400c = 6500 - 1500
400c = 5000
c = 5000/400
c = 12.5
by rounding off
c = 13
So a minimum of 13 chairs must be sold to reach a target of $6500
i hope it will help you!
Answer:
<h2>195 plants (verified) ✅</h2>
Step-by-step explanation:
We will use a proportion to solve this.
x/y = x/y
let x = the number of families in each case
let y = the number of plants in each case
Since we don't know the second y, we will leave that as y and solve for it.
50/150 = 65/y
Cross-multiply
50y = 9750
Divide
195 = y
Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.
50 (195) = 9750
9750 = 9750 ✅
Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume (
) is calculated by:
Where 
is the radius of the tumor.
The percentage decrease in the volume of the tumor (
) is expressed by:
Where:
- Absolute decrease in the volume of the tumor.
- Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
The percentage decrease is finally simplified:
![\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7BR_%7Bf%7D%7D%7BR_%7Bo%7D%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
Given that 
and 
, the percentage decrease in the volume of tumor is:
![\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7B0.77%5Ccdot%20R%7D%7BR%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
The volume of the tumor experimented a decrease of 54.34 percent.
Answer:
Not equivalent
Step-by-step explanation:
if we simplify our two equations we get 6x + 2y and 4x + 4y. Which is not equivalent to each other
Answer:
50 % alcohol solution = 10 millimetres
30 % alcohol solution = 90 millimetres
Step-by-step explanation:
two equations can be derived from this question
x + y = 100 equation 1
0.3x + 0.5y = 100 x 0.32 = 32
0.3x + 0.5y = 32 equation 2
where :
x = 30% alcohol solution
y = 50% alcohol solution
multiply equation 1 by 0.3
0.3x + 0.3y = 30 equation 3
subtract equation 3 from 2
0.2y = 2
y = 10
substitute for y in equation 1
x + 10 = 100
x = 100 - 10
x = 90
