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KATRIN_1 [288]
3 years ago
5

Lela purchased three mechanical pencils and a notebook that cost five dollars per purchase totaled $11 how much was each pencil

use P to represent the cost of each pencil
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer: 3p+5=11

Step-by-step explanation:

3p+5=11

-5 -5

3p=6

3p/3=6/3

P=2

$2

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Write an equation of the line satisfying the given conditions. Through (2, -5), parallel to 5x 6y + 7
mojhsa [17]

We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 5x = 6y+7

When two lines are parallel, then the slopes of the two lines are equal.

Equation of line with point (x_1, y_1) and slope 'm' is given by:

(y-y_1) = m(x-x_1)

Since, we have to determine the equation of a line with point (2,-5).

So, the equation of the line is : (y-(-5)) = m(x-2)

y+5 = m(x-2)

Since, the line is parallel to the line 5x = 6y+ 7

So, 6y +7 = 5x

6y = 5x - 7

y = \frac{5}{6}x - \frac{7}{6}

So, slope of the line  'm' is \frac{5}{6}.

Therefore, the equation of the line is:

(y+5) = \frac{5}{6}(x-2)

6y + 30 = 5x - 10

6y - 5x = -10-30

6y - 5x = -40

Therefore, 6y - 5x = -40 is the required equation of the line.

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3 years ago
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A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $
Allisa [31]

Answer:

$86 is she spending on the party.

Step-by-step explanation:

As per the statement: A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each.

⇒ 6 pizzas for $7 each

Total cost for 6 pizzas = 6 \times 7 = \$42

2 bowls of mixed salad for $12 each.

Total cost for 2 bowls = 2 \times 12 = \$24

and

4 cases of assorted soft drinks for $5 each.

Total cost for 4 cases of assorted soft drinks = 4 \times 5 = \$20

She spending on party = Total cost for 6 pizzas + Total cost for 2 bowls + Total cost for 4 cases of assorted soft drinks

Substitute the values we get;

Total cost she spending on party = \$42 + \$24 + \$20 =\$86

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Answer:

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