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2 years ago

The area of a square is 321 square feet. Which best represents the length of a side?

Mathematics

1 answer:

sdas [7]2 years ago

7 0

The side length is about 17.916

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A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

2 years ago

What is the slope of the line passing through the points -2,6 and 0,4

tensa zangetsu [6.8K]

x : -2 , 0

y: 6, 4

×: -2

y: 2

2/-2

8 0

3 years ago

Given the formula K = LMN, what is the formula for M?

Andre45 [30]

To start off devide both sides by M i.e
K/M=LMN/M
-> K/M=LN
Then devide by K to remove it on the left , this will end you up with M=LN/K
So the answer is (c).
Hope this helps :).

5 0

3 years ago

(-3)*(-5) =

vlabodo [156]

Answer:

9×5=45

Step-by-step explanation:

hope it helps and use brainly it never lies

8 0

2 years ago

Read 2 more answers

A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the e

fomenos

Answer:

y = 50·3^x
(2, 450), (3, 1350), (4, 4050), (5, 12150)

Step-by-step explanation:

The problem statement tells you each observed count is 3 times the last one.

Expressed as an exponential function with an initial value of 50 and a growth factor of 3, the formula is ...

y = (initial value)×(growth factor)^x

y = 50·3^x

3 0

3 years ago

The area of a square is 321 square feet. Which best represents the length of a side?​

The area of a square is 321 square feet. Which best represents the length of a side?