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2 years ago

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Crew b earns $315 after 3 hours, $525 after 5 hours, and $735 after 7 hours of work. Explain whether or not Crew b's data show a

proportional relationship. If the data are proportional, identify the constant of proportionality.

2 answers:

Westkost [7]2 years ago

8 0

Answer:

it in creases by 110 every hour

igomit [66]2 years ago

6 0

Answer:

Crew B's data shows a proportional relationship.

Step-by-step explanation:

This is because the constant of proportionality in each example given ($315 and 3 hours, $525 and 5 hours, $735 and 7 hours), is the same number with all of the values, which is 105. You can find this by dividing the dependant variable by the independent variable (In this case the money earned is dependant and the number of hours worked is independent).

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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>

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1 year ago

How can you add 3over 10 and 2over5

otez555 [7]

Answer:

7/10

Step-by-step explanation:

3/10+2/5

You have to make like denominators

So you multiply 2/5 by 2 since 1/ is the common denominator.

Then you add them

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son4ous [18]

Answer:

$\large\boxed{V=42\dfrac{7}{8}\ ft^3}$

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^3$

<em>a</em> - edge

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