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2 years ago

Which equations may be used to determine the 3 consecutive integers whose sum is 127?

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

a and b.

Step-by-step explanation:

I’ll explain by giving an example.

Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.

=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.

b) n+(n+1)+(n+2)= 3+4+5=12=> correct.

c)n+2n+3n=3+6+9=18=>incorrect.

d)3n=3*3=9=>incorrect.

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What is the slope and the y-intercept.

storchak [24]

Answer:

slope = 1

y-intercept = 5

Step-by-step explanation:

change in y-values = 1

change in x-values = 1

slope = 1/1 or 1

to find the y-intercept ('b'), select an ordered pair: (1, 6)

use the slope-intercept formula and solve for 'b':

6 = 1(1) + b

6 = 1 + b

5 = b

slope = 1

y-intercept = 5

5 0

2 years ago

If a scale is 1:250,000 and the distance is 8.5cm on the map what's the actual distance

timurjin [86]

8.5cm · 250,000 = 2,125,000cm

1m = 100cm therefore 1cm = 0.01m

2,125,000cm = 2,125,000 · 0.01 = 21,250m

1km = 1,000m therefore 1m = 0.001km

21,250m = 21,250 · 0.001km = 21.25km

Answer: 21,250m = 21,25km

7 0

3 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

$450 = 100e^{60k}$

$e^{60k} = 4.5$

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

$60k = \ln{4.5}$

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

$k = 0.0251$

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

Doubling time:

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.

7 0

3 years ago

Please answer question. I need some math to explain the answer, not just the answer. Ignore my work, that was wrong. Please help

Virty [35]

The correct answer to your question is number 2

3 0

3 years ago

2x2 +5x+8<br> Given x 3-2, the expression<br> x+2.<br> is equivalent to

Masteriza [31]

Answer:

x=-1

Step-by-step explanation:

so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!

6 0

3 years ago