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2 years ago

Pia uses 6 cups of sugar to make 8 pies. At that rate, how much sugar will it take to make 12 pies?

Mathematics

2 answers:

Volgvan2 years ago

5 0

Answer: 9 cups

Step-by-step explanation: If 6 cups make 8, then 3 cups make 4. so, 9 cups would make 12 pies

lukranit [14]2 years ago

5 0

(6cups/8pies) (xcups/12pies)
Cross multiply, 9 cups is the answer

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Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.

Ratling [72]

Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.

Step-by-step explanation:

To perpendicular bisector of line segment AB. There are following steps:

1) Draw arcs from points A and B on the both sides of AB.

2) Name the intersection points as X and Y.

3) Use the straightedge to draw a line through points X and Y.

4) Name the point as O

hence we have construct perpendicular bisector XY of AB which bisects at O.

3 0

1 year ago

What does this mean

andriy [413]

To use arithmetic to solve ot

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1 year ago

In 1970 the population of the United States was 203 million. Ten years later, in 1980, the population of the United States was 2

andrezito [222]

Answer:

The exponential function for the US population is:

$y = 203\cdot e^{0.0107\cdot t}$

Step-by-step explanation:

Let be supposed that US population can be modelled by means of the following exponential function:

$y = A \cdot e^{B\cdot t}$

Where:

$t$ - Time, measured in years. Where t = 0 for 1970.

$A$ - Initial population, in millions inhabitants.

$B$ - Exponential rate constant, in years.

$y$ - Population, in millions inhabitants.

Each constant is found hereafter:

$203 = A \cdot e^{B\cdot 0}$

$203 = A \cdot 1$

$A = 203$

$226 = 203\cdot e^{B\cdot 10}$

$\frac{226}{203} = e^{10\cdot B}$

$10\cdot B = \ln \frac{226}{203}$

$B = \frac{1}{10}\cdot \ln \frac{226}{203}$

$B = 0.0107$

The exponential function for the US population is:

$y = 203\cdot e^{0.0107\cdot t}$

4 0

2 years ago

Simplify this expression 5xy-x^2t+2xy+3x^2t

Dmitry_Shevchenko [17]

Answer:

$\large\boxed{5xy-x^2t+2xy+3x^2t=7xy+2x^2t}$

Step-by-step explanation:

$5xy-x^2t+2xy+3x^2t\\\\combine\ like\ terms\\\\(5xy+2xy)+(-x^2t+3x^2t)\\\\7xy+2x^2t$

6 0

1 year ago

Read 2 more answers

A soda factory has a special manufacturing line to fill large bottles with 2 liters of their beverage. Every process is computer

Drupady [299]

Answer:

$z= \frac{2.1-1.98}{0.08}= 1.5$

And we can use the normal standard table and the complement rule and we got:

$P(z>1.5)= 1-P(Z$

And the best answer would be:

C 0.07

Step-by-step explanation:

Let X the random variable who represent the amount of soda filled in large bottles and we know this:

$\mu = 1.98, \sigma =\sqrt{0.0064}= 0.08$

And we want to find this probability:

$P(X> \mu +1.5 \sigma = 1.98 +1.5*0.08 =2.1)$

And for this case we can use the z score formula given by:

$z=\frac{X -\mu}{\sigma}$

And replacing we got:

$z= \frac{2.1-1.98}{0.08}= 1.5$

And we can use the normal standard table and the complement rule and we got:

$P(z>1.5)= 1-P(Z$

And the best answer would be:

C 0.07

7 0

1 year ago