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3 years ago

13

A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $49 . The total cost to r

ent 9 chairs and 7 tables is $77 . What is the cost to rent each chair and each table?

2 answers:

andreev551 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Fed [463]3 years ago

5 0

Modeling the above problem in matrix form we have,
[3 5;9 7]*[x y]'=[49 77]'
AX=b
X=inv(A)*b
X=[1.7500 8.7500]'
ie x=1.7500 and y=8.7500

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For questions 13 – 15, find x so that q || r. State the converse used.

Grace [21]

Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14. x=12; Converse used : Linear pair

15. x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure

Given: q || r

$\angle CBE =\angle DEB$ (Alternate interior angles )

So, 15x+3=108

15x=108-3

15x=105

$x=\frac{105}{15}$

x=7

So, x = 7 ; Converse : Alternate interior angles are equal .

14.

Refer the attached figure

Given q||r

$\angle PQT = \angle STQ$ (Alternate interior angles

So, $\angle PQT = \angle STQ=11x-28$

Now $\angle UTQ + \angle STQ = 180^{\circ}$ (Linear pair)

So,7x-8+11x-28=180

18x-36= 180

18x=216

$x=\frac{216}{18}$

x=12

So, x=12; Converse used : Linear pair

15.

Refer the attached figure

Given q||r

$\angle BDC+\angle CDE = 90+2x$

$\angle BDE=\angle PBC$ (corresponding angles)

90+2x=5x+21

90-21=5x-2x

69=3x

23=x

So, x = 23; Converse: Corresponding angles are equal

5 0

2 years ago

Whats is the sum (2/5x + 5/8) + (1/5x - 1/4)?

Leviafan [203]

<span>Whats is the sum (2/5x + 5/8) + (1/5x - 1/4)?
A.3/5x + 1/8
B.3/5x + 3/8
C.3/5x + 5/8
D.3/5x + 7/8

The answer is </span><span>B.) 3/5x + 3/8</span>

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2 years ago

Check all that apply. I need help pls

Maru [420]

A,D,E that’s the awnser I came up with

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3 years ago

The price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months. Oil costs $0.45 per gallon and in

kompoz [17]

You subtract 3 cents and add up how many months it is tiil it reaches the same ammout as adding 5 cents and adding up six months every time

4 0

2 years ago

hammer [34]

Answer:

a) $y=-3950\cdot{x}+21500$

b) f(x) $=21500\cdot{(0.7953)^x}$

c) Year 1: Linear $17550, exponential $17099

Year 4: Linear $5700, exponential $8601

d) Exponential model

e) The linear model depreciates the value quicker than exponential model long term around 4 years

Step-by-step explanation:

a) At year 0 the price is 21500 and at year 2 the price is 13600

WE can use points (0,21500) and (2,13600)

We can determine the gradient

$m=(13600-21500)/(2-0)=-3950$

We can use the point slow formula:

$y-y_1=m\cdot{(x-x_1)}$

$y-21500=-3950\cdot{(x-0)}$

$y=-3950\cdot{x}+21500$

b) We can use the following equation:

f(x) $=a\cdot{(1+r)^x}$

f(x) is the depreciation value after amount of time t, a is the new value, r is the rate of depreciation and x is the time.

$13600=21500\cdot{(1+r)^2}$

$r=-0.2047$

The depreciation rate is 20.47% and is negative because it decreases the new value of the car

c) Year 1:

$y=-3950\cdot{1}+21500=17550$

f(x) $=21500\cdot{(0.7953)^1}=17099$

Year 4:

$y=-3950\cdot{4}+21500=5700$

f(x) $=21500\cdot{(0.7953)^4}=8601$

d) Year 2

$y=-3950\cdot{2}+21500=13600$

f(x) $=21500\cdot{(0.7953)^2}=13598$

3 0

2 years ago