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2 years ago

6

Sandy has 6 sheets of colored paper. She uses 4 sheets to make posters. She cute the remaining paper into equal rectangles to ma

ke greeting cards. Each rectangle is 1/4 of a sheet of colored paper. How many cards does Sandy make?

1 answer:

katrin [286]2 years ago

7 0

Sandy have to make 8 cards

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Which inequality is true for all real numbers? check all that apply.

skad [1K]

Answer:

<h2>3. If a ≥ b, then a + c ≥ b + c </h2><h2>4. If c > d, then a– c < a – d</h2>

Step-by-step explanation:

The inequalities 3 and 4 are the right ones, because they are actually properties of inequalities.

The other choices aren't correct. For example, the first choice: a – b < a + b, it's not true, because you must apply the same change at each side of the inequality, otherwise you'll ruin the expression.

Choices 2 and 5 are also false.

Therefore, the right answers are 3 and 4.

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Which expressions are equivalent to 64’1Check all that apply.

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Answer: a,c,f (4^3, 8^2, 2^6)

Step-by-step explanation:

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2 years ago

A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

So

$P(t) = 100e^{0.0251t}$

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This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

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3 years ago

Which quantity is proportional to 12⁄4?

shutvik [7]

Answer:

3

Step-by-step explanation:

12 / 4 = 3

4 can go into 12 three times, so the fraction 12/4 is equal to 3

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3 years ago

Every 2 days, Marina spends a total of 5.25 hours baking cupcakes and 4.75 hours decorating the cupcakes. At this rate, what is

Goryan [66]

Answer:

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Step-by-step explanation:

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