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2 years ago

It takes 3 hours to type 6 memos. How long will it take to type 48 memos?

Mathematics

2 answers:

barxatty [35]2 years ago

4 0

Answer:

24 hours

Step-by-step explanation:

First find Unit Rate which is, 6 ÷ 3 = 2 memos per hour.

2. We know she writes 2 memos in one hour so, \frac{hour}{memos} , \frac{1}{2} = \frac{?}{48} .

? is equal to 24 hours since 48 ÷ 2 = 24

vredina [299]2 years ago

3 0

Answer:

24 hours.

Step-by-step explanation:

We will solve this problem by unitary method.

∵ Time taken to type 6 memos = 3 hours

∴ Time taken to type 1 memos = $\frac{3}{6}$ hours

∴ Time take to type 48 memos = $\frac{3}{6}$ × 48

= $\frac{1}{2}$ × 48

= 24 hours

It will take 24 hours to type 48 memos.

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Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted f

kirza4 [7]

Answer:

1. Emily scored 60 points in the first round

2. Emily scored minus 30 points in the second round

3. Emily's final score is 15 points.

Step-by-step explanation:

1. Let's review all the information given to us to answer the questions correctly:

Points awarded for a correct answer = 20

Points deducted for a incorrect answer = 10

2. Let's calculate the score of Emily in the first round:

Score = 7 * 20 - 8 * 10

Score = 140 - 80

Score = 60

Emily scored 60 points in the first round

3. Let's calculate the score of Emily in the second round:

Score = 4 * 20 - 11 * 10

Score = 80 - 110

Score = - 30

Emily scored minus 30 points in the second round

4. Let's calculate the final score of Emily:

Final score = (Score 1st round + Score 2nd round)/2

Final score = (60 + - 30)/2

Final score = (60 - 30)/2 = 30/2 = 15

Emily's final score is 15 points.

4 0

2 years ago

you are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

ira [324]

It is given in the question that

You are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

Let the price of scanner be $ x .

So we have

$x+ 80\leq 150$

Subtracting 80 from both sides

$x\leq 70$

It means , the price should be not more then $70 .

Therefore in case, the price of scanner is $75, then you will not remain within your budget .

6 0

2 years ago

A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can

alukav5142 [94]

Part a) if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?

Let

x---------> the percent enlargement

we know that

the original size is the 100%

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

therefore

the answer Part a) is

the percent enlargement is 125%

Part b) Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original

we know that

A photocopy machine can reduce copies to 80% of their original size

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

therefore

the answer Part b) is

the number of times in succession is 9

6 0

2 years ago

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened

jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

Let the third angle be x.

Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

⇒ 70° + 2 x° = 180°

⇒ 2 x° = 180° - 70°

⇒ 2 x° = 110°

Dividing both sides by 2, we get

x= 55°

5 0

1 year ago

Fruit juice comes in two types of containers. The first is a rectangular prism that is 9 inches tall and has a rectangular base

My name is Ann [436]

The volume of a rectangular prism:

$V_p=Bh\\\\B=wl\\\\w=2\ in;\ l=3\ in;\ h=9\ in$

substitute

$V_p=2\cdot3\cdot9=54\ in^3$

The volume of a cylinder:

$V_c=\pi r^2h\\\\r=1.5\ in;\ h=8\ in$

substitute:

$V_c=\pi\cdot(1.5)^2\cdot8=\pi\cdot2.25\cdot8=18\pi\ in^3\approx18\cdot3.14=56.52\ in^3$

Answer: C. The cylinder has the greater volume.

3 0

1 year ago