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3 years ago

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

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A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

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Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

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2 years ago

Which statement is not always true?

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Statement #3: The product of two irrational numbers is not always irrational.

If you multiply √3 and 1/√3, both irrational numbers that are inverses of each other, you end up getting 1, which is rational.

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2 years ago

Which expression is equivalent to 20c - 8d?

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3 years ago

During a trip, a driver travelled a distance of 80km at an average speed of 60km/hr.He then changed his speed and travelled the

oksian1 [2.3K]

Answer:

50 km/hr

Step-by-step explanation:

D = RT

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Time for second part of trip = 20/30 = 2/3 hr.

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2 years ago

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swat32

Answer:

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2 years ago

Read 2 more answers