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3 years ago

Find the absolute value of each rational number |3.7|

Mathematics

2 answers:

Aloiza [94]3 years ago

6 0

$|a|=a \hbox{ if } a \geq 0 \\
|a|=-a \hbox{ if } a \leq 0 \\ \\
|3.7|=3.7$

Furkat [3]3 years ago

6 0

The correct answer is:

3.7

Explanation:

Absolute value is the distance a number is from 0. The number 3.7 is 3.7 units away from 0 on a number line; this means the absolute value is 3.7.

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Martin had 100 trees in his orchard the first year. Each year after that, he

alexgriva [62]

Answer:

177

Step-by-step explanation:

This scenario can be modeled as an exponential function.

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the number of trees increase by 10% each year, then the number of trees each year will be 110% of the number of trees the previous year. Therefore, the growth factor is 110%.

Given:

a = 100 trees
b = 110% = 1.10 (in decimal form)
x = time (in years)
y = number of trees in the orchard

Substituting the given values into the function:

$\implies y=100(1.10)^x$

(where x is time in years and y is the number of trees in the orchard)

To find how many trees are in the orchard in the 6th year, input x = 6 into the found equation:

$\implies 100(1.10)^6=177.1561=177\: \sf (nearest\:whole\:number)$

Therefore, Martin had 177 trees in his orchard in the sixth year.

7 0

2 years ago

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At a local shop Sissi spends one third of her money on milk and two fifths of her money on bread and a one ninth on a lolipop

finlep [7]

Answer:

the answer for a is 38 over 45 that is the total fraction of her money that she spent in the local shop for b the answer is 7/45

This came about as for a when we added the total number of expenditures that CeCe had made that is 1/3 + 2/5 + 1/9 and that is 38/45 so that is the fraction of money that she said that she spent in the local shop.

as for b it said what fraction of sissies money does she have left and we know that the total fraction is 38 over 45 and we are going to subtract it from 1.

and that will give us 7/45

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xxMikexx [17]

The sprinter can run 30 feet per second.