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2 years ago

A teacher reviews 4-1/2 papers per hour, how many papers will that teacher review in 6-1/3 hours

Mathematics

1 answer:

MrRa [10]2 years ago

5 0

Answer:

$28\frac{1}{2}\ papers$

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

$4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}$

$6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}$

step 2

we know that

A teacher reviews 9/2 papers per hour

using proportion

Find how many papers will the teacher review in 19/3 hours

Let

x-----> the number of papers

$(9/2)/1=x/(19/3)$

$x=(19/3)(9/2)$

$x=28.5\ papers$

Convert to mixed numbers

$28.5=28\frac{1}{2}\ papers$

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After allowing 20% discount on the marked price with 13%

saveliy_v [14]

Answer:

The marked price of the article is 22,600

Explanation: 

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is

$\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)$

Discount D = 20%

Substituting the given values

SP = $\mathrm{MP}\left(1-\frac{20}{100}\right)$

18080 = $\mathrm{MP}\left(1-\frac{1}{5}\right)$

$18080=\mathrm{MP}\left(\frac{4}{5}\right)$

$\mathrm{MP}=\frac{18080 \times 5}{4}$

MP = Rs. 22,600

Therefore the marked price of the article is 22,600

6 0

2 years ago

Lisa wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 65°." Which state

JulijaS [17]

Triangles always equal 180 degrees

4 0

2 years ago

The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3,

blsea [12.9K]

Options

-2.5
-2
$-1\dfrac{9}{10}$
-1

Answer:

(B) -2

Step-by-step explanation:

Given the list

$-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15$

This list has been arranged in order from the least to the greatest.

We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.

An integer is defined as a positive or negative whole number.

Out of the given options, only -1 and -2 are integers. However:

-1 is greater than -1.5

Therefore, it cannot be our result.

The correct answer is -2.

3 0

2 years ago

Read 2 more answers

Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C

denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

i) What is the measure of Angle BOA

= length of Arc BA / Radius

= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°

ii) what is the length of arc BAC

= radius * angle BAC * $\pi /180$

angle BAC = angle AOC + angle BOA

= 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * $\pi /180$

≈ 14.7 cm

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2 years ago

Read 2 more answers

Assume that a fair die is rolled. The sample space is , 1, 2, 3, 4, 56, and all the outcomes are equally likely. Find P8. Expres

liraira [26]

Answer:

$P\left(8\right)=0$

Step-by-step explanation:

Assuming that a fair die is rolled.

The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.

Let X be the set of all possible outcomes. Let A be an outcome.

So, the probability that A occurs is:

$P\left(A\right)=\frac{|A|}{|X|}$

As the set of all possible outcomes of the roll of a single die is:

$X=\left\{1,2,3,4,5,6\right\}$

Observe that

$|X|=6$

Here

$|A|=0$ because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.

So, the probability must be zero.

In other words,

$P\left(A\right)=\frac{|A|}{|X|}$

$P\left(8\right)=\frac{0}{6}=0$

Therefore,

$P\left(8\right)=0$

5 0

2 years ago