Width of rectangle is 8.4 cm
Step-by-step explanation:
Length of rectangle = x+4
Width of rectangle = 12x
Perimeter = 26 cm
We need to find width of rectangle.
The formula used is:
Putting values and finding x first:
So, value of x is 0.7
Now width= 12x = 12(0.7)
=8.4 cm
So, width of rectangle is 8.4 cm.
Keywords: Perimeter of Rectangle
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Answer:
1
Step-by-step explanation:
The discriminant of the quadratic equation 2x2+4x-7=0 is 1
Answer:
-8
Step-by-step explanation:
Given that x and y are two variables. they are related by the function
y =8-2x
Since x and y are related, given one value we can find the other using this equation.
In our question, given that x =8
Substitute x value in the equation
y = 8-2x
y =8-2(8) = -8
Hence answer is -8:
Verify: We verify by putting -8 for y and check whether x =8
-8=8-2x
Or 2x = 16
x =8
Verified
Answer:
x = 16.6666666667
Step-by-step explanation:
24x4 - 18x3 + 4x2 - 3x =0
24x4 = 96
18 x 3 = 54
4x2 = 8
96-54+8= 50
50/3 = 16.6666666667
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work.
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant.
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120
What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours?
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours
What is the maximum amount of money Lia can earn in a week?
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
