Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Answer:
All in the explanation.
Step-by-step explanation:
Since we will only be renting the car for one day it will only be a $50 dollar base fee. If we drive 192 miles and just rent it for one day the equation modeled will be $0.18(192) + 50 = 34.56 + 50 = $84.56 total.
Length = 6x - 12
Width = x
Area of a rectangle:
A = length x width
3744 = (x)(6x - 12)
3744 = 6x^2 - 12x
6x^2 - 12x - 3744 = 0
Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.
Width = 26 inches
Length = 6(26) - 12 = 144 inches
Hope this helps!! :)
Answer:
In 9 days will the second warehouse have 1.5 times more coal than the first one
Step-by-step explanation:
The coal left in warehouses after x days can be found using the equation:
- first warehouse: 185 - 15x
- second warehouse= 237-18x
Let the second warehouse have 1.5 times more coal than the first one after n days then
- 1.5 ×(185 - 15n)=237-18n which gives:
- 277,5-22,5n=237-18n and
- 40,5=4,5n
- 9=n
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
We have two complex solutions.
If D = 0
√0 = 0
then:
We have only one real solution (or two equal solutions, depending on how you see it)
