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3 years ago

Order the rational numbers 0.69,13/20,1/2,0.6,17/25 from least to greatest

Mathematics

2 answers:

fredd [130]3 years ago

4 0

1/2,0.6,13/20,17/25,0.69

alukav5142 [94]3 years ago

4 0

We have to order the given rational numbers from least to greatest.

$0.69 , \frac{13}{20} , \frac{1}{2} , 0.6 , \frac{17}{25}$

Firstly, we will convert the fractions into decimal form.

$\frac{13}{20}$ = 0.65

$\frac{1}{2}$ = 0.5

$\frac{17}{25}$ = 0.68

Therefore, the given rational numbers in decimal form are:

$0.69 , 0.65 , 0.5 , 0.6 , 0.68$

Therefore, the rational numbers arranged in the order from least to greatest is:

0.5 , 0.6 , 0.65 , 0.68 , 0.69

Expressing again in fraction form, we get

$\frac{1}{2}$ , 0.6 , $\frac{13}{20}$ , $\frac{17}{25}$ , 0.69

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3 years ago

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4 years ago

Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, appro

Ilya [14]

The time it will take Jesse to finish sanding the table is approximately 22.61 hours.

<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

$A = \pi \times (r)^2$ sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

$A = \pi \times (\dfrac{d}{2})^2$ sq. units

For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: $A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2$

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

$\rm T \times 5\: ft^2 = A \approx 113.04 \: ft^2\\\\\text{Dividing all sides by 5, we get}\\\\T = \dfrac{113.04}{5} \approx 22.61 \: hours$

(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

brainly.com/question/13056790

8 0

2 years ago

Read 2 more answers

Please help me. This is real confusing.

katrin2010 [14]

Answer:

1st problem: b) $A=2500(1.01)^{12t}$

2nd problem: c) $A=2500e^{.12t}$

Step-by-step explanation:

1st problem:

The formula/equation you want to use is:

$A=P(1+\frac{r}{n})^{nt}$

where

t=number of years

A=amount he will owe in t years

P=principal (initial amount)

r=rate

n=number of times the interest is compounded per year t.

We are given:

P=2500

r=12%=.12

n=12 (since there are 12 months in a year and the interest is being compounded per month)

$A=2500(1+\frac{.12}{12})^{12t}$

Time to clean up the inside of the ( ).

$A=2500(1+.01)^{12t}$

$A=2500(1.01)^{12t}$

----------------------------------------------------

2nd Problem:

Compounded continuously problems use base as e.

$A=Pe^{rt}$

P is still the principal

r is still the rate

t is still the number of years

A is still the amount.

You are given:

P=2500

r=12%=.12

Let's plug that information in:

$A=2500e^{.12t}$ .

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3 years ago

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Neko [114]

Jack must score 28 problems correct. To get a 92% he must answer 92% of the 30 questions right. which means 0.92*30=27.6, but it is not possible to score 0.6 of a problem right so you would round to 28, which guarantees Jack scores a 92 because if we round down, Jack would score less than a 92

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3 years ago

Read 2 more answers