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2 years ago

Work out a) 5 3/4- 2 1/4

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

7 0

Answer:

The answer is 3 1/2.

Step-by-step explanation:

-There are 2 simple ways to do this.

-The first is just subtracting 3/4 and 1/4 which equals 2/4 or 1/2.

-The second way is to turn it into an improper fraction.

-(5*4)+3=23 and (2*4)+1=9.

-23/4-9/4=14/4

-14/4=3 1/2

xenn [34]2 years ago

3 0

Answer:

3 1/4

Step-by-step explanation:

5 3/4 - 2 1/4

First subtract the whole numbers of the two mixed fractions, so:

= 5 - 2

= 3

Now, combine the leftover fractions:

= 3/4 - 1/4

= 2/4

= 1/4

Lastly, put the whole number and fraction together:

= 3 1/4

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What is the greatest common factor of 49 and 84? 3 4 7 9

bonufazy [111]

49: 1 7, 49
84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The GCF is 7

6 0

3 years ago

Read 2 more answers

Which fraction is close to, but less than 1/2?

qwelly [4]

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

8 0

3 years ago

From the top of a vertical cliff 50 m high, the angle of depression of an object that is level with the base of the cliff is 70°

Svetlanka [38]

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

Now, from figure

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

I.e TanФ = $\dfrac{\textrm AB}{\textrm OA}$

Or, TanФ = $\dfrac{\textrm h}{\textrm x}$

Or, Tan 70° = $\dfrac{\textrm 50 meters}{\textrm x meters}$

Or, 2.74 = $\dfrac{\textrm 50}{\textrm x}$

∴ x = $\dfrac{\textrm 50}{\textrm 2.74}$

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

5 0

3 years ago

what is the mode of the following data: 52 bowls of spaghetti, 37 bowls of cereal, 14 sandwhiches, and 17 personal pizzas

Katarina [22]

The mode of the given data is equal to bowls of spaghetti.

Given the following data:

Bowls of spaghetti = 57.

Bowls of cereal = 37.

Quantity of sandwiches = 14.

Personal pizzas = 17.

In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.

Read more on mode here: brainly.com/question/542771

4 0

2 years ago

I need help ASAP! It's urgent.. PLISSSSS

natali 33 [55]

Answer:

a) 6 mins

b) 70km/h

c) t= 45

Step-by-step explanation:

a) The bus stops from t=10 to t=16 minutes since the distance the busvtravelled remained constant at 15km

Duration

= 16 -10

= 6 minutes

b) Average speed

= total distance ÷ total time

Total time

= 24min

= (24÷60) hr

= 0.4 h

Average speed

= 28 ÷0.4

= 70 km/h

c) Average speed= total distance/ total time

Average speed

= 80km/h

= (80÷60) km/min

= 1⅓ km/min

1⅓= 28 ÷(t -24)

since duration for return journey is from t=24 mins to t mins.

$\frac{4}{3}$ (t -24)= 28

$\frac{4}{3}$ t - 32= 28

$\frac{4}{3}$ t= 32 +28

$\frac{4}{3}$ t= 60

t= $6 0\div \frac{4}{3}$

t= 45

*Here, I assume that this is a displacement- time graph, so the distance shown is the distance of the bus from the starting point because technically if it is a distance-time graph, the distance would still increase as the bus travels the 'return journey'.

Thus, distance is decreasing after t=24 and reaches zero at time= t mins so that is the return journey. (because when the bus returns back to starting point, displacement/ distance from starting point= 0km)

5 0

3 years ago