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Nataly [62]
3 years ago
9

Can yall help me with this. -4(2x-7)<10-2x Write the solution in the form x ? A, where ? Represents the correct inequality sy

mbol and a represents the value of the solution.
Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer: x > 3

Step-by-step explanation:

We have the inequality:

-4*(2*x - 7) < 10 - 2*x

We want to find the possible values for x.

first, we expand the left side.

-8x + 28 < 10 - 2x

now we want to have all the terms with x in one side and the terms without x in the other side.

-8x + 2x < 10 - 28

-6x < -18

now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:

x > 18/6 = 3

x > 3

This means that x must be larger than 3.

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Which expression uses the associative property to make it easier to evaluate? (50points)
Naily [24]

The correct answer is option 4: (8.\frac{1}{4}).\frac{3}{5}

Step-by-step explanation:

Given expression is:

8.(\frac{1}{4}.\frac{3}{5})

The associative property states that for any three terms that are being multiplied, different order of multiplication (i.e. which two terms are multiplied first) will give the same answer.

Let a,b and c be the three terms

then

a.(b.c) = (a.b).c

So applying the associative property on given expression

8.(\frac{1}{4}.\frac{3}{5}) = (8.\frac{1}{4}).\frac{3}{5}

Hence,

The correct answer is option 4: (8.\frac{1}{4}).\frac{3}{5}

Keywords: Associative property, Properties

Learn more about associative property at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#learnwithBrainly

5 0
3 years ago
Which is a solution to 2x + 1 = 21?
Bezzdna [24]

Answer:

x = 10 is your answer

- Explain -

Step 1: subtract 1 from both sides (subtraction of equality)

which will give us:

2x = 21 - 1

which equals to

2x = 20

Step 2: Divide both sides by 2

which is

2x/2 = 20/2

2/2 = 1 and 20/2 = 10

Therefore the answer is x = 10

4 0
3 years ago
What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po
kolbaska11 [484]
Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
    n = total sample size

Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>
7 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS ASAP!
bonufazy [111]

Answer:

y=20

Step-by-step explanation:

0.6(y-10)=6

0.6y-6=6

0.6y=6+6

0.6y=12

y=12/0.6

y=20

the mistake is added 10 to both sides

6 0
3 years ago
Olivia thinks of a number she multiplies her number by 6 and gets an answear of -54 what was her original number
erastovalidia [21]

Answer:

-9

Step-by-step explanation:

7 0
3 years ago
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