Answer:
The answer to your question is 14 students
Step-by-step explanation:
Data
Total students = 70
40% sixth-graders
20% seventh graders
40% eighth graders
The Number of seventh-graders = ?
Process
1.- Use proportions and cross multiplication to solve this problem
70 students ----------------------- 100 %
x ---------------------- 20 %
x = (20 x 70) / 100
x = 1400 / 100
x = 14 students are seventh-graders
70 students --------------------- 100 %
x --------------------- 40%
x = (40 x 70) / 100
x = 2800 / 100
x = 28 students are sixth graders
Eighth-graders = 70 - 14 - 28
= 28
GIVEN
the dimensions ofrectangular prism are
length = 54 in
breadth = 32.25in
height = 24.5 in
formula
volume of the rectangular prism = length×breadth×height
= 54 ×32.25×24.5
= 42997.5 in³
first statement is false because the volume of the rectangular prism in two significant digit.
Second statement is false because the volume of the rectangular prism in two significant digit.
FORMULA
surface area of a rectangular prism = 2(wl+hl+hw)
by putting the value of the length , breadth & height
we get
= 2 (54×32.25 + 32.25×24.5 + 24.5×54)
= 7709.25 in²
= 7709.3 in²(approx)
Third statement is true the surface area of the container is rounded to ones place.
Hence proved
Answer:
The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit
Step-by-step explanation:
Here, we want to know the temperature after 9 hours
Per hour rise each hour is 3/4 degree = 0.75 degree
In 6 hours that will be 0.75 * 6 = 4.5 degrees
Or hour drop is 1/4 = 0.25 degree
In 3 hours, that will be 0.25 * 3 = 0.75 degree
Since it is a drop, we have -0.75 degree
Temperature after 9 hours will be;
-5 + 4.5 -0.75
= -5.75 + 4.5 = -1.25 degrees fahrenheit
<span>Using the information we have
3x+4=40
Do the same to each side of the equation to eliminate for x.
3x+4=40 Minus 4 from each side
3x=40-4
3x=36
Divide 3 from each side
x=36/3
x=12
AC=3x+4
insert the value of x
3(12)+4=40
AC=40
AD=20</span>
ANSWER
The correct option is,

EXPLANATION
We were given that the solutions of the quadratic equation are

and

This tells us that,

and

are factors of the quadratic equation.
This implies that the quadratic equation is of the form,

We were also told that

is a non zero constant.
This means that we can use k to multiply the whole equation and the solution will not be affected.
Our equation now becomes,

Hence the correct answer is A.