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3 years ago

How many solutions can be found for the linear equation? 4(x + 5) - 5 = 8x + 18/ 2

Mathematics

2 answers:

mylen [45]3 years ago

6 0

Answer: The correct option is A.

Explanation:

The given equation is,

$4(x+5)-5=\frac{8x+18}{2}$

Multiply both sides by 2.

$2[4(x+5)-5]=\frac{8x+18}{2}$

$8(x+5)+2(-5)=8x+18$

$8x+40-10=8x+18$

$8x+30=8x+18$

Subtract both sides by 8x.

$30=18$

This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.

iVinArrow [24]3 years ago

4 0

Answer:

Option A is correct

No solutions

Step-by-step explanation:

The distributive property says that:-

$a \cdot (b+c) = a\cdot b+ a\cdot c$

Given the equation:

$4(x+5)-5 = \frac{8x+18}{2}$

Using distributive property we have;

$4x+20-5 = \frac{8x+18}{2}$

⇒ $4x+15= \frac{8x+18}{2}$

Multiply both sides by 2 we have;

$8x+30 = 8x+18$

Subtract 8x from both sides we have;

$30=18$ False.

For any value of x, there is no solutions for the given system of equation

Therefore, No solution can be found for the linear equation

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Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round

diamong [38]

Volume=height times area of base
area of base=pi times r^2

volume=(h)(pi)(r^2)

diameter=2r
diameger=8
8=2r
divide 2
4=r

h=3 times r
h=3r
r=4
h=3(4)
h=12

r=4
h=12
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subsitute
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volume=(12)(3.14)(16)
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7 0

3 years ago

The bowling alley and the swimming pool both offer birthday party rentals the bowling alley coast $5 per person plus a $15 room

Vanyuwa [196]

Answer:

Swimming pool

Step-by-step explanation:

Let's say that we invite x people. The cost of the bowling alley will be $15 for the room, and we add $5 dollars for each person. Therefore, we can represent the cost of the bowling alley as

5 * x + 15

Similarly, the cost of the swimming pool is

4 * x + 12

To find the maximum of the function, one thing we can do is set the expressions of the cost equal to 40. This will give us the amount of people we can invite for exactly 40 dollars. Because cost increases with amount of people, this will give us the maximum number of people we can invite with $40.

We thus have

5 * x+ 15 = 40

subtract 15 from both sides to isolate the x and its coefficient

25 = 5 * x

divide both sides by 5 to isolate x

25/5 = x = 5

We can therefore invite 5 people to the bowling alley

4 * x+ 12 = 40

subtract both sides by 12 to isolate the x and its coefficient

28 = 4 * x

divide both sides by 4 to isolate x

x = 7

Therefore, we can invite 7 people to the swimming pool. As 7 > 5, we can invite more people to the swimming pool.

A quicker way to solve this could be by looking at the cost of each location. Because the bowling alley costs more both per person and for the room, and there is no way to decrease the cost except by decreasing the amount of people, there is no way that the bowling alley could get as many people as the swimming pool with the same amount of money

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2 years ago

Let P (n) be the statement that 12 + 22 + · · · + n2 = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P

andriy [413]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

4 0

3 years ago

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Rufina [12.5K]

The best answer would be D

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7 0

3 years ago

What is the length of AC?

Blizzard [7]

Answer:

10 + 20 = 30

Step-by-step explanation:

If you subtract 5 from 25 you get 20 which is the length distance from b to c. Let's do the same to 15, 15 - 5 = 10. So now let's add our given lengths: 10 + 20 = 30.

4 0

2 years ago