Find the product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

Mathematics

2 answers:

Zolol [24]3 years ago

7 0

Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

= (1/2-3/4)×(-5/6+13/8)

= -1/4×19/24

= -19/96

4vir4ik [10]3 years ago

5 0

Using mathematical notation this would be written:
(1/2 + -3/4) x |-5/6 - 13/8|
= -1/4 x 59/24
= -59/96

“Difference” is defined as the positive distance between the values on a number line, hence the absolute value brackets.
Eg the difference between 2 and 9 is 7
The difference between -2 and -8 is 6
The difference between-5 and 4 is 9

You might be interested in

The table shows the heights in inches of trees after they have been planted. Determine the equation which relates x and y.

fenix001 [56]

To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:

Recall that the equation of a staight line is obtained from the formula
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Using the points (30, 18) and (36, 24), we have
$\frac{y-18}{x-30} = \frac{24-18}{36-30}= \frac{6}{6} =1 \\ \\ \Rightarrow y-18=x-30 \\ \\ \Rightarrow y=x-30+18 \\ \\ \Rightarrow y=x-12$

8 0

3 years ago

What are the first three terms of the sequence...plz help pt.1

svetlana [45]

$a_{n} \: = \: 2(a_{n - 1})^{2} \\ a_{1} = 4 \: (given) \\ a_{2} = \: 2(a_{2 - 1})^{2} \\ = 2(a_{ 1})^{2} \\ = 2 \times {4}^{2} \\ = 32 \\ \\ a_{3} = \: 2(a_{3 - 1})^{2} \\ = 2(a_{ 2})^{2} \\ = 2 \times {32}^{2} \\ = 2 \times 1024 \\ = 2048$

so first 3 terms are

4, 32, 2048

8 0

3 years ago

Read 2 more answers

A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in: 2 1/6 h

Sunny_sXe [5.5K]

I'm not all that familiar with that sort of representation, but I guess 3 3/4 = 15/4 and 2 1/6 = 13/6.

You will simply have to multiply the time spent walking, 13/6 hours, by the average distance traveled on an hourly basis, 15/4 km/h.

(13*15)/(4*6) = 195/24 = 8,125 km

7 0

2 years ago

Build the greatest number less than 700 that has 9 in the tens place and different digits in each of the other places

suter [353]

I think the greatest number less than 700 with 9 in the tens place and different digits in each of the other places is 698.
I chose 6 to be in the one of hundreds place because it is the greatest number that is less than 7 in the hundreds place. I also chose 8 to be in the ones place because it is different from 6 and 9 and the greatest number in the ones place that is not 9.

8 0

2 years ago

Read 2 more answers

A grocer has 2 types of tea, one for sells for $8.00 per pound and the other for $6.00. How many pounds of each kind must he use

fiasKO [112]

Equation::
value + value = value
80x + 60(50-x) = 74*50
----
80x + 60*50 - 60x = 74*50
----
20x = 14*50
x = 35 lbs (amt. of 80 cent tea to use)
50-x = 15 lbs (amt. of 60 cent tean to use)

6 0

2 years ago