MATHEMATICS HIGH SCHOOL

Tara incorrectly estimates 36,591,000,000 meters as 4x10^6 meters explain tara's mistake?

Answers

Answer 1

Answer:

Answer:

4 * 10¹⁰

Step-by-step explanation:

Estimation:

The estimate value of 36,591,000,000 is 40,000,000,000.

40,000,000,000 = 4 * 10¹⁰

Answer: 4 * 10¹⁰

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4. Twenty-five percent of the fish in anaquarium are goldfish. There are 124
total fish in the aquarium. How many of
the fish are goldfish?
A. 5
B. 25
C. 31
D. 99

Answers

$\bold{ANSWER:}$
C) 31

$\bold{SOLUTION:}$

What is 2 1/4 inches + 5 3/4 inches + 8 1/2 inches equals

Answers

2 1/4 inches + 5 3/4 inches + 8 1/2 inches:

First, to start solving this problem, we will have to add the whole numbers first. The whole numbers are the...whole numbers in front of the fraction. In this case, the whole numbers would be 2, 5, and 8. So, we have to add those three numbers up (2 + 5 + 8) to get the answer which is 15.
$15 + (1)/(4) + (3)/(4) + (1)/(2)$

Second, now we have to find the least common denominator (LCD) of the three denominators. The denominators are the bottom number of the fraction. This case the denominators would be 4, 4, and 2.To find the LCD, we will have to list the multiples of each denominator and find the first common one.

Multiples of 4: 4
Multiples of 4: 4
Multiples of 2: 2, 4

Since 4 appears in the multiples of each denominator, 4 is our LCD.

Third, since only one fraction needs their denominator changed (the other two fractions already carry the denominator of 4), we have to multiple each number by whatever gets us 4. Remember, whatever you do to the bottom, do to the top.
$15 + (1)/(4) + (3)/(4) + (1*2)/(2*2) = 15 + (1)/(4) + (3)/(4) + (2)/(4)$

Fourth, since all of our denominators are the same, we can now combine our numerators (join the denominators) and add them all up.
$15 + (1+3+2)/(4) = 15 + (6)/(4)$

Fifth, we now need to convert 6/4 into a mixed fraction. To find the mixed fraction form of 6/4, we will need to divide the denominator (4) by the numerator (6) and then write any remainder above the denominator.

Mixed fraction: $15 + 1 (2)/(4) = 16 (2)/(4)$

Sixth, we can simplify 2/4 down some more. To do so, we need to find the greatest common factor of the numerator and denominator, then divide the GCF by them. To find the GCF, we list all of the factors of them and find the first common one.

Factors of 2: 1, 2
Factors of 4: 1, 2, 4

The GCF is 4.

Seventh, we can now divide both our numerator and denominator by our recently found GCF which was 2.
$2 / 2 = 1 \n 4 / 2 = 2$

Answer in fraction form: $\fbox {16 1/2 inches}$
Answer in decimal form: $\fbox {16.5 inches}$

2.25 + 5.75 + 8.5 = 16.5 inches or 1.375 feet.

3sin(2x)-1=0 to solve

Answers

Answer is in the attachment below.

$3\sin (2x)-1=0 \n \n 3\sin(2x)=1 \qquad /:3 \n \n \sin (2x) = (1)/(3) \n \n 2x=\arcsin (1)/(3) +2\pi k\qquad \hbox{or} \qquad 2x= \pi - \arcsin (1)/(3)+2\pi k \qquad /:2 \n \n x_1=(1)/(2)\arcsin (1)/(3)+\pi k \n \n x_2=(\pi)/(2)-(1)/(2)\arcsin (1)/(3)+\pi k$

k is an integer

arcsin (1/3) is approximately 0.34 radians (19.47 degrees)

Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?

Answers

You just divide 4 by 8, which equals 1/2

So 4/8 in simplest form 1/2/ of a bunch of grapes.

(3xa+6):3+18=50 multumesc frumos

Answers

$(3a+6):3+18=50 \n\n (3a+6):3=50-18 \n\n (3a+6):3=32 \n\n 3a+6=32*3 \n\n 3a+6=96 \n\n 3a=96-6 \n\n 3a=90 \n\n a=90:3 \n\n \boxed{a=30}$

if 3xa=3 times a then
so the quantity (3xa+6) is divided by 3 so factor out the three and get3(a+2) divide by three and get (a+2)+18 and the associative propertyof addition allows us to move the parenthasees to (a+2+18)=50 or a+20=50 subtract 20 from both sides and get
a=30

or (3a+6)/3+18=50
3(a+2)/3+18=50
a+2+18=50
a+20=50
a=30

Identify all sets to which the number -3/4 belongsa. rational numbers
b. odd numbers, whole numbers, integers, rational number
c. whole numbers, integers, rational number

Answers

Answer:

a. rational numbers

Step-by-step explanation:

we observe that -3/4 is a proper fraction (i.e it is a rational number)

hence

1) It cannot be a whole number

2) it cannot be an integer

therefore any answer choices that mention whole number or integer is not correct. By default, only a is correct.

Final answer:

The number -3/4 can be found within the set of rational numbers. It does not belong to the sets of odd numbers, whole numbers, or integers, as these contain only whole numbers.

Explanation:

The number -3/4 is a rational number. Rational numbers represent any number that can be expressed as a fraction or ratio of two integers, with a non-zero denominator. Sets like odd numbers, whole numbers, and integers are part of number systems that include only whole numbers, and given that -3/4 is not a whole number, it does not belong in these sets. Therefore, from the given options, the correct one is: The number -3/4 belongs to the set of rational numbers.

Learn more about Rational Numbers here:

brainly.com/question/32678084

#SPJ2

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Need help with a math question

Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.Select the correct answer below and, if necessary, fill in the answer box to complete your choice.O A. The value of n can be any positive integer resulting in the same factorO B. The value of n can be any positive integer resulting in the distinct factors(Use a comma to separate answers as needed.)O C. The value of n can be any prime integer resulting in the same factorOD. The value of n can be any prime integer resulting in the distinct factors(Use a comma to separate answers as needed.)O E. The expression cannot be factored for the given values of n.