The length of a rectangle is represented by 9x - 5. The width of the rectangle is represented by 3.

Problem #1: Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A. Of those students, 1/9 got a perfe

ser-zykov [4K]

Answer:

3 students got a perfect score.

Step-by-step explanation:

Total number of students in Mrs. Grape's class = 90

Number of students who earned an A = 3/10 of 90

= $\frac{3}{10}\times 90$

= 27 students

Out of 27 students the number of students who got perfect score

= $\frac{1}{9}\times 27$

= 3 students

3 students got a perfect score.

5 0

3 years ago

Number 24 only A B C and D

stepan [7]

Answer:

a) V = 288 - h

b) (0,288)(1,276)(2,264)(3,252)(4,240)

c) graph the above point

d) Volume decreases as height increases

Step-by-step explanation:

Step 1 :

a)

The given equation is V = 12(24-h)

Using the distributive property we have

V= 12*24 - 12 * h = 288-h

b)

The ordered pairs (h,V) can be obtained by giving different values for h and computing the corresponding V values

When h = 0 ,V= 288 -0= 288

When h = 1 ,V= 288 -12*1= 276

When h = 2 ,V= 288 -12*2= 264

When h = 3 ,V= 288 -12*3= 252

When h = 4 ,V= 288 -12*4= 240

Hence the ordered pairs are (0,288)(1,276)(2,264)(3,252)(4,240)

Step 3 :

The above points can be graphed using the values of h in the x axis and the values of V in the y axis

Step 4:

The above equation shows that the value of the volume V decreases as the value of h increases and becomes negative for values of h >24

7 0

3 years ago

1

Tcecarenko [31]

Answer:

It is not possible for the student to receive an A grade in the class.

It is possible for the student to receive a B grade in the class.

Step-by-step explanation:

We are given that in the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 exams that are worth 100 points each.

A student has received homework scores of 7, 8, 7, 5, and 8, and the first two exam scores are 81 and 80.

Firstly, we will calculate how many points have been scored by the student.

Number of possible points = 350

The points scored by the student in homework = 7 + 8 + 7 + 5 + 8 = 35 points.

The scores of the student on the two exams = 81 + 80 = 161 points

So, the total points scored by the students = 35 + 161 = 196 points.

As it is given in the question that if the grade percentage is 0.9 or higher then the student will get an A, i.e;

If the total possible points are 350 points; $90\% \text{ of } 350 = \frac{90}{100}\times 350 = 315 \text{ points}$

This means that the student must have to score 315 points to get an A grade.

Till the second exam, the total points scored by the students are 196 points. If the student scored full 100 marks in the third exam, then the total points scored by the student will be = 196 + 100 = 296 points.

Since 296 < 315, this means that it is not possible for the student to receive an A in the class.

Also, it is given in the question that if the grade percentage is between 0.8 and 0.9 the student will get a B, i.e, the student must obtain a minimum of 80% to get B grade.

If the total possible points are 350 points; $80\% \text{ of } 350 = \frac{80}{100}\times 350 = 280 \text{ points}$

This means that the student must have to score a minimum of 280 points to get a B grade.

Till the second exam, the total points scored by the students are 196 points. If the student scored full 100 marks in the third exam, then the total points scored by the student will be = 196 + 100 = 296 points.

Since 296 > 280, this means that it is possible for the student to receive a B grade in the class.

3 0

3 years ago

Solve: 4|x| = 32 a 8 b –8 or 8 c 24 d No solution

anyanavicka [17]

x= -8 , 8

your answer

b –8 or 8

4 0

3 years ago

Question 1 <br> Convert from parametric to rectangular:<br> x=t+4, y = t^2

vampirchik [111]

Answer:

y = x^2 +8x +16

Step-by-step explanation:

t can be written in terms of x, then substituted into the equation for y.

x = t -4

x + 4 = t

y = t^2 = (x +4)^2

y = x^2 +8x +16

5 0

3 years ago