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3 years ago

Help me substitution method define variables

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

$\left \{ {{S=14+L} (I) \atop {S+L=124}(II)} \right.$

Substitute (I) into (II), we have:
 $S+L=124$
$(14+L)+L=124$
$14 + 2L = 124$
$2L = 124 - 14$
$2L = 110$
$L = \frac{110}{2}$
$\boxed{L = 55}$

Replace (II) in (I), we have:
 $S=14+L$
$S = 14+ 55$
$\boxed{S = 69}$

Answer:
each student sell:
Lori = 55 pizzas
Steve = 69 pizzas

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To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry c

Dafna1 [17]

Answer:

To spend at most $93, they need to rent the room less than or equal 13 hours.

Step-by-step explanation:

The complete question is

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,

Let

t ----> the number of hours

we know that

I this problem the word "at most" means "less than or equal to"

The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93

The inequality that represent this situation is

$6t+15\leq 93$

solve for t

subtract 15 both sides

$6t\leq 93-15$

$6t\leq 78$

Divide by 6 both sides

$t\leq 13\ hours$

therefore

To spend at most $93, they need to rent the room less than or equal 13 hours.

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2 years ago

Which of the following reasons could be used to conclude that the lines are parallel based on the given information?

rewona [7]

We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.

Statement 1:

If right angles are formed, then lines are parallel.

This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.

Statement 2:

If two lines are perpendicular to another line, then they are parallel.

This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.

Statement 3:

If alternate interior angles are equal, then lines are parallel.

This is valid as explained above.

Hence final answer are statement 2 and statement 3 both.

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3 years ago

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Nesterboy [21]

Step-by-step explanation :

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