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4 years ago

Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.

Mathematics

1 answer:

melomori [17]4 years ago

4 0

Answer:

x>5

Step-by-step explanation:

The given inequality is -3(2x - 5) <5(2 - x). We are supposed to select two representations of this inequality.

Since the options are not given, I will just solve this inequality.

Expanding the parenthesis, we get:

-6x+15<10-5x

We then group similar terms to obtain:

-6x+5x<10-15

Simplify to get:

-x<-5

Divide both sides by -1 and reverse the inequality sign.

x>5

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Doss [256]

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5 0

4 years ago

Find a number such that 17 less than twice a number is 109.

Mashcka [7]

Answer:

-15

Step-by-step explanation:

2x-17=-47

2x=-47+17

2x=-30

x=-30/2

x=-15

3 0

3 years ago

Find the GCF of 14a5 and 22a3

miskamm [114]

I am assuming that you mean $14 a^{5}$ and $22 a^{3}$

Now, let's look for common factors. The first one is $a^{3}$ After we take that out, we are left with 14 and 22. We can take a 2 out of both of these, so the greatest common factors is $2a^{3}$

4 0

3 years ago

A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour.

Thepotemich [5.8K]

The time for the job for which the two company are the same is 16

<h3>How to form the equation and find the cost?</h3>

A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,

using linear equation,

y = mx + c

where

y = total cost
x = time

Therefore,

y = 345 + 16.25x

Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,

y = 213 + 24.50x

Hence, the time when both cost are the same is as follows;

213 + 24.50x = 345 + 16.25x

213 - 345 = 16.25x - 24.50x

-132 = -8.25x

x = 132 / 8.25

x = 16

learn more on equation here: brainly.com/question/2072580

4 0

3 years ago

The first four numbers of the pattern are shown below, what would be the 6th number in the pattern.

Tatiana [17]

$a_{n} = a_{1} r^{n-1}$ ; where a₁ is the first term, r is the ratio, and n is the term

0.08, 0.4, 2, 10 ,

x5 x5 x5 do you see the pattern? <em>a₁ = 0.08 and r = 5</em>

$a_{n} = 0.08 (5)^{n-1}$

$a_{6} = 0.08 (5)^{6-1}$

$= 0.08 (5)^{5}$

= 0.08(3125)

= 250

Answer: B

4 0

3 years ago