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tresset_1 [31]
4 years ago
10

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $22. The total cost to re

nt 4 chairs and 8 tables is $57. What is the cost to rent each chair and each table?
Mathematics
1 answer:
leva [86]4 years ago
4 0

Answer:

A chair costs $1.25 and a table costs $6.50

Step-by-step explanation:

2(1.25) = 2.50

3(6.50) = 19.50

2.50 + 19.50 = 22

4(1.25) = 5

8(6.50) = 52

5 + 52 = 57

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find the equation of parabola when point of intersection of directrix and axis is at (0,4) and focus at (6,4) ​
Allushta [10]

Answer:

Find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x−4y=2. Find also the length of the latus-rectum.

Step-by-step explanation:

6 0
3 years ago
√16 simplify. assume that all variables are non-negative
morpeh [17]

Answer:

<em>4</em>

Step-by-step explanation:

\sqrt{16}

Square root is the opposite operation of squaring. You are looking for a number that when you square it (multiply the number by itself) you get 16.

That number is 4 since 4 * 4 = 4^2 = 16

\sqrt{16} = 4

3 0
3 years ago
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
Ede4ka [16]

Answer:

None of these choices are correct.

Step-by-step explanation:

The quoted value of 99.875, means that this bond is sold at 99.875%  of the face value and not at a price of  $99.875.

Therefore, calculate price;

Price = 0.99875 * 1000

Price = $998.75

Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;

Brokerage fees = (0.055*998.75) = $54.93

Total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the choices is correct.

3 0
3 years ago
Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
14 mm<br> 29 mm<br> Calculate the surface area.
tino4ka555 [31]

Answer:

14x29=406 2hich would be the area

Step-by-step explanation:

4 0
3 years ago
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