All categories

3 years ago

Long explanation for 4 9/14 - 2 6/7 + 8 5/6=The answer is 10 13/21 but I can not get that.

Mathematics

1 answer:

Ber [7]3 years ago

3 0

Answer:

10 13/21

Step-by-step explanation:

Convert mixed numbers into improper fractions

4 9/14 --> 65/14

2 6/7 --> 20/7

8 5/6 --> 53/6

Then calculate

65/14 - 20/7 + 53/6

Before that write it into a common denominator of 42

(195-120+371)/42

That would equal to 446/42

Divide it by 2

That would equal to 223/21

Then 223/21 = 10 13/21

P.S!!!

Don't blindly trust me, check before with others

And also hope it helped

You might be interested in

Check whether <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1" title=" \frac{4}{5} " alt=" \f

steposvetlana [31]

Answer:

Non terminating

Step-by-step explanation:

4/5=0.8 so non terminating

Hope this helps :D

6 0

2 years ago

Your new TV screen has a width that is 4 inches longer than its height. If the screen's diagonal measurement is 20 inches, find

scoundrel [369]

Answer:

So the height is 12

Step-by-step explanation:

Let W be the width

Let W- 4 be the height

W2 +(W-4)2 = 400

So: W2 -4W-192 =0

One uses the quadratic solution:

W = (4 + (16 + 4*192).5)/2 = 16

7 0

3 years ago

Walking100

vredina [299]

Complete question :

The Venn diagram relating to the question can be found in the picture attached below :

Answer:

A.) 15 ; b.) 17 ; c.) 20 ; d.) 19 ; e.) 55 ; 67; 76 ;100 ; F.) 369

Step-by-step explanation:

Let :

Cars = C ; Motorcycle = M ; Tricycle = T ; Walking = W

a) How many students ride in a tricycle, motorcycle and car going to their school

Intersection of the 3 modes;

(C n M n T) = 15 ; it is the number which sits in between all the three circles.

B.) How many students ride in both a motorcycle and a tricycle?

(M n T) = 17 ; number in the middle of both circles representing motorcycle and tricycle

C.) How many students ride in both a motorcycle and a car?

(M n C) = 20 ; number in the middle of both circles representing motorcycle and Car

D) How many students ride in both a car and tricycle?

(C n T) = 19 ; number in the middle of both circles representing Car and tricycle

e.)How many students go to school

in a car only = 55

in a motorcycle only = 67

Tricycle only = 76

Walking = 100

F.) How many Grade Seven students of Koronadal National Comprehensive High School are there in all?

(100 + 67 + 76 + 55 + 19 + 20 + 17 + 15) = 369

5 0

3 years ago

A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answe

Aloiza [94]

He answered 41 questions right.

41:50

7 0

3 years ago

A cargo grain leaves Chicago at noon travelling west at 120 km/h. At 2 pm, a passenger train leaves Chicago travelling east at 3

AfilCa [17]

Answer:

a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

Step-by-step explanation:

a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:

$x_{1} = v_{1}t_{1} = 120 km/h*2h = 240 km$

Now, we can find the time when the trains will be 1520 km apart:

$1520 km = (x_{1} + 240 km) + x_{2}$

Where 1 is for the cargo train and 2 is for the passenger train.

$1520 km = (v_{1}*t_{1} + 240 km) + v_{2}t_{2}$

Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:

$1520 km = (v_{1}*t + 240 km) + v_{2}t$

$t = \frac{1520 km - 240 km}{120 km/h + 360 km/h} = 2.667h$

For the cargo train, it will be 1520 km apart from the passenger train at:

$t_{1} = 12 pm + 2 h + 40 min = 2:40 pm$

And for a passenger train, it will be 1520 km apart from the cargo train at:

$t_{2} = 2 pm + 2 h + 40 min = 4:40 pm$

Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) The distance traveled by both trains is given by:

$x_{1} = v_{1}*t + 240 km = 120 km/h*2.667 h + 240 km = 560.04 km$

$x_{2} = v_{2}*t = 360 km/h*2.667 h = 960.12 km$

Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

I hope it helps you!

5 0

2 years ago