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Svetradugi [14.3K]
2 years ago
6

Paul drinks 6 cups of coffee each day. Each cup contains 275 milliliters of coffee. How

Mathematics
2 answers:
scZoUnD [109]2 years ago
5 0
<h3>Answer:  11.55 liters</h3>

=================================================

Work Shown:

275 mL = 275/1000 = 0.275 L

1 cup = 0.275 L

6 cups = 6*0.275 L = 1.65 L

He drinks 1.65 L per day, so over 7 days he drinks a total of 7*1.65 = 11.55 liters.

lubasha [3.4K]2 years ago
5 0

Answer:

11.55 liters

Step-by-step explanation:

6 cups per day

1 cup = 275 milliliters

6 cups per day x 7 days = 42 cups per week

275 milliliters x 42 cups = 11,550 milliliters

to convert milliliters to liters, divide the amount of milliliters by 1000

11,550 mL ÷ 1000 L

11.55 liters

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What is the slope of line n?
svet-max [94.6K]

Answer:

2

Step-by-step explanation:

2 - 1            1

------   =     -----     =    2

1 - 1/2         .5

5 0
2 years ago
What is the logarithmic function modeled by the following table?
cupoosta [38]
Answer: option 1.

log_{4} x

x      f(x)

4      log (4) 4 = 1 ... because 4^1 = 4

16    log(4) 16 = 2 .... because 4^2 = 16

64    log (4) 64 = 3 .... because 4^3 = 64


3 0
3 years ago
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A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are
Katarina [22]

Answer: Area = 6m²

              Smaller number = 16

              Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m                                2) w = x + 1 m

     l = x + 5  m                               l = x + 5 - 2 = x + 3 m

A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2

A₁ = A₂

x² + 5x = x² + 3x + 2

5x - 3x = 2

2x = 2

x = 1

A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

<u> 2 </u> = <u> x </u>

5     40

5x = 80

x = 80/5 = 16

Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers                      hours

    16                              3

     5                               x

↑                                          ↓              inversely proportional

<u> 5 </u> = <u> 3 </u>

16      x

5x = 16*3

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x = 9.6 h

 

6 0
3 years ago
2/3*x+3/4=8 what is x
matrenka [14]

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Step-by-step explanation:

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7 0
3 years ago
What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu
inn [45]

Answer:

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

Step-by-step explanation:

The given expression is

\frac{2x+5}{x^{2} -3x} -\frac{3x+5}{x^{3} -9x} -\frac{x+1}{x^{2}-9}

First, we need to factor each denominator

\frac{2x+5}{x(x-3)} -\frac{3x+5}{x(x+3)(x-3)} -\frac{x+1}{(x-3)(x+3)}

So, the least common factor (LCF) is x(x-3)(x+3), because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

Therefore, the expression is equivalent to

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

8 0
2 years ago
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