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3 years ago

Round 26,634 to 27,000 using a number line

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

6 0

To the nearest 10: 26630

To the nearest 100: 26600

To the nearest 1000: 27000

If the number after the tens/hundreds/thousands unit is under five, you round down. If the number after is five or above, you round up.

Hope I helped, although the question is a bit ambiguous and there is no picture of a number line.

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Consider the expressions 4t+t and 1t+4t .

algol [13]

So the full equation would be

4(3)+3 and 1(3)+4(3)

12+3 and 3+12

15 and 15

So your answer is 15 for both problems

Hope this helped. Have a great day!

5 0

3 years ago

(3x+15) (6x+3) m<1 is

Allisa [31]

Answer:

x = 4

Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

Reorder the terms:

15 + 3x = 6x + 3

Reorder the terms:

15 + 3x = 3 + 6x

Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

Combine like terms: 3x + -6x = -3x

15 + -3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0

15 + -3x = 3 + 0

15 + -3x = 3

Add '-15' to each side of the equation.

15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

0 + -3x = 3 + -15

-3x = 3 + -15

Combine like terms: 3 + -15 = -12

-3x = -12

Divide each side by '-3'.

x = 4

Simplifying

x = 4

8 0

2 years ago

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t

sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

$\frac{dy}{dt}\ \alpha\ y(1-y)$

$\frac{dy}{dt}=ky(1-y)$

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

$\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\$

$y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}$

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

$y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days$

5 0

2 years ago

identify a two-digit dividend that will result in a quotient with a remainder 1 when the divisor is 4

Afina-wow [57]

17, 21, 25, etc. because when you divided 4 by any of these numbers you will get your answer with a remainder of 1. For example, 17/4 is 4 R.1 because 4 times 4 is 16, then you will have one left over. (At my school you always go to a decimal not a remainder)

3 0

3 years ago

Which American Indian group formed an alliance with the British as the French and Indian War began?

goblinko [34]

I think the correct answer is A

7 0

3 years ago

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