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Rom4ik [11]
3 years ago
15

Nestlé water pumps 1.2 million gallons per day out of G. Springs to put in bottles.

Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0

Answer:

  3.2×10⁷ liters/week

Step-by-step explanation:

\dfrac{1.2\cdot 10^6\,gal}{1\,day}\cdot\dfrac{7\,day}{1\,week}\cdot\dfrac{8\,pint}{1\,gal}\cdot\dfrac{1\,L}{2.11\,pint}=\dfrac{1.2\cdot 10^6\cdot 7\cdot 8\,L}{2.11\,week}\\\\\approx 3.2\cdot 10^7\,\dfrac{L}{week}

tangare [24]3 years ago
3 0

Answer:

A. How many liters per week is this?

31,848,341.232 liters per week

B. Put in scientific notation

3.1848341232 × 10⁷ liters per week

Approximately = 3.2× 10⁷ liters per week

Step-by-step explanation:

A. Nestle water pumps 1.2 Million gallons per day = 1,200,000

i. Given that 1 week = 7 days

1 day = 1,200,000 gallons produced

7 days = 1,200,000 × 7 days

= 8,400,000 gallons produced in one week ( 7 days)

= 8,400,000 gallons per week

ii. Given that 8 pints = 1 gallon

1 gallon = 8 pints

8,400,000 gallons produced in one week = 8,400,000 × 8 pints

= 67,200,000 pints per week

Therefore 67,200,000 pints are produced in one week.

III. Given that 2.11 pints = 1 liter

If 2.11 pints = 1 liter

67,200,000 pints produced in one week = X liters

Cross multiplying

2.11X = 67,200,000

X = 67,200,000 ÷ 2.11

X = 31,848,341.232 liters per week

B. Put in scientific notation

3.1848341232 × 10⁷ liters per week

Approximately = 3.2 × 10⁷ liters per week

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jenyasd209 [6]

Answer:

Answers are below!

Step-by-step explanation:

(2 + g) (8)

= (2 + g) (8)

Add a 8 after the 2, and flip.

= (2)(8) + (g)(8)

= 16 + 8g

= 8g + 16

= (4) (8 + -5g)

Add another 4, then flip.

= (4) (8) + (4) (-5g)

= 32 − 20g

= - 20g + 32

−7 (5-n)

= (−7) (5 + -n)

Add another 7, then flip.

= (−7) (5) + (-7) (-n)

= −35 + 7n

= 7n - 35

Use the distributive property.

a (b + c) = ab + ac

a = 8

b = 2m

c = 1

= 8 × 2m + 8 × 1

Simplify, you get 16m + 8.

Use the distributive property.

a (b + c) = ab + ac

a = 6x

b = y

c = z

= 6xy - 6xz is the answer.

\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac

a=-3,\:b=2b,\:c=2a

=-3\cdot \:2b+\left(-3\right)\cdot \:2a

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Multiply the numbers.

3 x 2 = 6

7 0
3 years ago
Read 2 more answers
Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2
tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

m = \frac {1} {2}

Thus, the equation is of the form:

y = \frac {1} {2} x + b

We substitute the given point and find "b":

-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}

Finally, the equation is of the form:

y = \frac {1} {2} x- \frac {9} {2}

Answer:

y = \frac {1} {2} x- \frac {9} {2}

6 0
3 years ago
Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 w
BartSMP [9]

Answer:

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = \frac{88 - 16}{5 - -1} = 12

Taking another point (x ,y) on the line;

Slope is \frac{y - 16}{x - -1} = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

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So the equation, y = 12x + 28, work!

3 0
3 years ago
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cluponka [151]
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3 years ago
Does Y= -2/3x + 3 & Y=2/3x + 2 have unlimited solutions?
notsponge [240]

Answer:

x = 3/4

y = 2.5

Step-by-step explanation:

No there is just one.

Equate the ys

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3 = 2/3 x + 2/3x + 2                          Combine

3 = 4/3 x + 2                                     Subtract 2

3-2 = 4/3 x                                        Multiply by 3

1 * 3 = 4x                                          Divide by 4

3/4 = x

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

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y = 6/12 + 2

y = 1/2 + 2

y = 2 1/2

y = 2.5

6 0
3 years ago
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