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3 years ago

Which expression is equivalent to the one below. 3/4 -1.9+1/2

Mathematics

1 answer:

noname [10]3 years ago

5 0

Step-by-step explanation:

34−1.9 + 1234-1.9 + 12

Find the common denominator.

Click to see fewer steps ...

Write −1.9-1.9 as a fraction with denominator 11.

34 + −1.91 + 1234 + -1.91 + 12

Multiply −1.91-1.91 by 4444.

34 + −1.91⋅44 + 1234 + -1.91⋅44 + 12

Multiply −1.91-1.91 by 4444.

34 + −1.9⋅44 + 1234 + -1.9⋅44 + 12

Multiply 1212 by 2222.

34 + −1.9⋅44 + 12⋅2234 + -1.9⋅44 + 12⋅22

Multiply 1212 by 2222.

34 + −1.9⋅44 + 22⋅234 + -1.9⋅44 + 22⋅2

Multiply 22 by 22.

34 + −1.9⋅44 + 2434 + -1.9⋅44 + 24

Combine the fractions.

Click to see fewer steps ...

Combine the fractions that have a common denominator.

3−1.9⋅4 + 243-1.9⋅4 + 24

Multiply −1.9-1.9 by 44.

3−7.6 + 243-7.6 + 24

Simplify the numerator.

Click to see fewer steps ...

Subtract 7.67.6 from 33.

−4.6 + 24-4.6 + 24

Add −4.6 - 4.6 and 22.

−2.64-2.64

Divide −2.6-2.6 by 44.

−0.65-0.65

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A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r

Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

$5000\cdot 1.04^x \geq 11600$

$1.04^x \geq 2.32$

log base 1.04 2.32=x

$x\approx 21.457$ years

Hope this helps!

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3 years ago

A pack of brownies cost $6.60 If the price per brownie stays the same, what would be

cupoosta [38]

Answer:

19.8

Step-by-step explanation:

3x6.6

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4 years ago

Read 2 more answers

(28 POINTS)

cestrela7 [59]

Answer:

(a) $-\sqrt{10}y$

(b) $-\sqrt{3}y$

Step-by-step explanation:

(a) $\sqrt{10y^{2}}$ can also be written as $\sqrt{10}$ x $\sqrt{y^{2}}$

the $\sqrt{y^{2}}$ = ± y

Therefore :

$\sqrt{10y^{2}}$ = ± $\sqrt{10}y$

since it was given that y < 0 , then the factor will be $-\sqrt{10}y$

(b) $\sqrt{3y^{2}}$ can also be written as : $\sqrt{3}$ x $\sqrt{y^{2}}$

Therefore , one of the factor is $-\sqrt{3}y$

3 0

3 years ago

The average score of students in Mr. Blake's science class was 73 with a standard deviation of 11, while the average score of st

Pani-rosa [81]

Answer:

Mr Blake's science class

Step-by-step explanation:

The standard deviation is a measure of variation.

It tells us how far each of the data set in the distribution are far from the mean of the distribution.

The average score of students in Mr. Blake's science class was 73 with a standard deviation of 11, while the average score of students in Mrs. Arnold's class was 75 with a standard deviation of 10.

Since 11>10, Mr Blake's science class is more variable than Mrs. Arnold's class.

3 0

3 years ago

Part C: Of the following choices, which equation is the best fit line for the data

KatRina [158]

Step-by-step explanation:

Part C: Of the following choices, which equation is the best fit line for the data

As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.

So we have: C and D left.

Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.

D f(x) = -34x + 320

Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.

year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320

<=> f(x) = -34*5 + 320

= 150 mil

The result is smaller than the real data, (201-150 = 51 mil)

Part E: In what year is the population predicted to go extinct

the population predicted to go extinct when f(x)= 0

<=> -34x + 320 = 0

<=> x ≈ 9.4

So after 10 years, the the population predicted to go extinct

3 0

4 years ago