Joe's Warehouse has banquet facilities to accommodate a maximum of 250 people. When the manager quotes a price for a
banquet, she is including the cost of renting the room plus the cost of the meal for each person. A banquet for 70 people
costs $1300. For 120 people, the cost is $2200. 10 points total
2
What does the independent variable represent in the situation? 1 point

Answer:

x=130, x=-77.5, x=1/3

Step-by-step explanation:

1st equation:

1/5x + 24 = 50

1/5x = 26

x = 26(5)

x = 130

2nd equation:

0.4x + 18=-13

0.4x = -31

x=-77.5

3rd equation:

3x - 5/6 = 1/6

3x = 1

x=1/3

Answer:

Your answer is correct.

Step-by-step explanation:

Answer:

-3*-6*2^2+1

18*4+1

72+1

73

Step-by-step explanation:

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

Answer: 122°F

Step-by-step explanation:substitute 50°C anywhere in the formula that has the C

Answer:

125,000

Step-by-step explanation:

Answer:

yes they are equivalent

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3

Answer:

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

Answer:

I think its B but dont keep my word as facts thats just what i think hope this helps even a little

Step-by-step explanation:

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

∴ r = 30

∴ The rate of the second car is 30 miles/hour

Florence should buy 6 gallons of sealant for 1200 ft² of decking.

A ratio indicates the number of times one number contains another.

Given that, 400 ft² of decking requires 2 gallons of sealant.

400 ft² = 2 gallons

400 ×3 ft² = 2 × 3 gallons

1200 ft² = 6 gallons

Hence, Florence should buy 6 gallons of sealant for 1200 ft² of decking.

To learn more about ratios, click here:

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SP of a machine = Rs. 990

Profit% = 10 %

SP of other machine = Rs. 1960

loss% = 2 %

his gain or loss percentage​

We know that,

CP * (100 + profit%)/100 = SP

So,

First machine :

CP * (100 + 10)/100 = 990

⟹ CP = 990 * 100/110

⟹ CP = Rs. 900

Second machine :

We know that,

CP * (100 - loss%)/100 = SP

⟹ CP * (100 - 2)/100 = 1960

⟹ CP = 1960 * 100/98

⟹ CP = Rs. 2000

Now,

We have to find the total loss or profit percentage.

We observe that,

SP > CP.

so, a gain is occured.

gain % = gain/CP * 100

gain = SP - CP

So,

gain% = (2950 - 2900)/2900 * 100

⟹ gain% = 50/29

⟹ gain% = 1.72 %

∴ A gain of 1.72% is occured in the whole transaction.

I hope it will help you.

Regards.

Answer:

HELLO SISO❤

IT'S ME YIREN

Step-by-step explanation:

→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%

Answer: 50%

Step-by-step explanation: math

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

Answer:

this isn't a social studies stream

ask the question again but in a social studies thingy

Answer:

17

Step-by-step explanation:

the answer would have been 16.75 but you cant divide a class, so you round up.

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9

Answer:

€20,000

Step-by-step explanation:

% decrease = (original price of the car - new price) ÷ original price × 100

Let "x' represents the original price before the decrease.

New price = €13,000

% decrease = 35%

Plug in the values into the equation

[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]

[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]

Multiply both sides by x

[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]

[tex] 35x = 100x - 1,300,000 [/tex]

Subtract 100x from both sides

[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]

[tex] -65x = -1,300,000 [/tex]

Divide both sides by -65

[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]

[tex] x = 20,000 [/tex]

The car was worth €20,000 before the decrease.

Answer:

2 cups

Step-by-step explanation:

18/6 = 3

3 x 2/3 = 6/3

6/3 = 2

Answer:

7 4/100

Step-by-step explanation:

[tex] \green {\boxed{Answer}}[/tex]

[tex] = 704\%[/tex]

[tex] = \frac{704}{100} [/tex]

[tex] = \frac{704 \div 4}{100 \div 4} [/tex]

[tex] = \frac{176}{25} [/tex]

[tex] = 7 \frac{1}{25} [/tex]

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Answer:

Step-by-step explanation:

step one;

In this problem, we are expected to solve for the distance between Jenifer and Jim

given that

Jennifer is 29ft above and

Jim is 8ft bellow

step two:

the distance between them can be calculated as

distance= 29+8

distance=37ft

Answer:

42

Step-by-step explanation:

if I'm understand the question you add 12 and 30

Answer:

5

Step-by-step explanation:

Answer:

it would 35 feet long 100x0.35

The length of the movie theater will be 35 feet.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -

2x + 3y + 5

3y + 5

5 + 6

Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.

Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.

Mathematically, we can write -

{K} = final dimensions/initial dimensions

In the question given, the scale factor is -{K} = 100.

Assume the length of the movie theater to be {x}. So, we can write -

{x} = 0.35 x 100

{x} = 35/100 x 100

{x} = 35 feet

Therefore, the length of the movie theater will be 35 feet.

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