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pishuonlain [190]
3 years ago
7

The area of a rectangular classroom is given by the trinomial a - 4a - 21. The length of the rectangle is a+3. What is the expre

ssion for the width of the classroom?
Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
I am assuming you wrote the problem wrong. Is it a^2?
A^2 -4A-21=0
(A-7)(A+3)=0
A=7 A=-3, ignore the negative number because it doesn't make sense if you plug in for a.
length=a+3=7+3=10
Width=7=a
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Angel has 8 DVD movies on a shelf, 2 dramas,5 sicence fiction movies, and 1 comedy. Two movies will be selected at random. Deter
mr Goodwill [35]

Answer:

A) Pd = 13/28

B) Pd = 7/16

Step-by-step explanation:

Given;

Drama = 2

Comedy = 1

Science fiction = 5

Total = 8

a) The probability of selectingat least one drama movie Pd;

Pd = 1 - Pd'

Without replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 5/7 = 15/28

Pd = 1 - 15/28

Pd = 13/28

b) with replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 6/8 = 9/16

Pd = 1 - 9/16

Pd = 7/16

8 0
3 years ago
the diameter D of a sphere is 13m calculate the sphere volume V use the value 3.14 round your answer to the nearest tenth
fgiga [73]

Answer:

1149.8 m³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³ ( r is the radius )

Here diameter = 13, thus radius = 13 ÷ 2 = 6.5

V = \frac{4}{3} × 3.14 × 6.5³

   = \frac{4}{3} × 3.14 × 274.625

   = \frac{4(3.14)(274.625)}{3} ≈ 1149.8 m³ ( to the nearest tenth )

5 0
3 years ago
(6+23) x (32-25) + 72<br> I just need to see what the answer is to check my work
Vlad1618 [11]

Answer:

275

Step-by-step explanation:

6+23=29 and 32-25=7

29 x 7 = 203

203 + 72 = 275

The final answer is 275.

Hope this helps!

7 0
3 years ago
Each of the 459 guests attending the Honor Roll breakfast gets a muffin. Muffins come in packages of 12. How many packages are n
baherus [9]

Answer:

38.25 packages

Step-by-step explanation:

Number of guests = 459

Each guest gets 1 muffin

Muffin comes in packages of 12

Hence,

The number of packages is calculated as:

459/12 = 38.25 packages

Hence, 38.25 packages are needed so there are enough muffins for every guest.

7 0
2 years ago
How to solve this problem for every question
SOVA2 [1]
Do you know how to solve it because I can't see the problem
8 0
3 years ago
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