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vova2212 [387]
3 years ago
11

If w=-4, which inequality is true

Mathematics
2 answers:
monitta3 years ago
6 0

Answer:

The inequality -5 - 4w > 10 is the TRUE option.

Step-by-step explanation:

Given

w = -4

To determine

We have to determine which inequality is true

Let us substitute w = -4 one by one in all the inequalities

2 - w < -3

substitute w = -4

2 - (-4) < -3

2+4 < -3

6 < -3

FALSE!

Reason: 6 can not be less than -3

-3 - 5w < -14

substitute w = -4

-3 - 5(-4) < -14

-3 + 20 < -14

17 < -14

FALSE!

Reason: 17 can not be less than -14

1- 2w > 13

substitute w = -4

1 - 2(-4) > 13

1+8 > 13

9 > 13

FALSE!

Reason: 9 can not be greater than 13

-5 - 4w > 10

substitute w = -4

-5 - 4(-4) > 10

-5 + 16 > 10

11 > 10

TRUE!

Reason: 11 is indeed greater than 10.

Thus, the inequality -5 - 4w > 10 is the TRUE option.

vlabodo [156]3 years ago
4 0

Step-by-step explanation:

the answer would be the last one

cuz if u do -4(-4) it equals 20

and if u do -5+20 it equals 15

and 15>10

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The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Rasek [7]
<span>The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Solutions:
=> 16 dollars is the amount of book
=> 6% is the sales tax which is equals to (6% / 100% = 0.06)
Let’s follow the formula to get the total amount to be paid.
=> 16 dollars * .06 = .96 dollars
Now, let’s add this together:
=> .96 + 16 dollars = 16.96 dollars.</span>



5 0
3 years ago
Read 2 more answers
Matthew is packing 120 pencils and 108 notebooks
Rasek [7]

9514 1404 393

Answer:

  • 12 boxes
  • 10 pencils, 9 notebooks

Step-by-step explanation:

a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.

  120 = 12×10

  108 = 12×9 . . . . 12 is the greatest common divisor

Matthew can make 12 boxes with equal numbers of the items.

__

b) 120 pencils divided by 12 will be 10 pencils per box.

108 notebooks divided by 12 will be 9 notebooks per box.

_____

<em>Additional comment</em>

It helps to be familiar with multiplication tables up to about 12×12.

The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.

Here, we have ...

  120/108 = 1 r 12.

  108/12 = 9 r 0   ⇒   12 is the GCD

7 0
3 years ago
What is the place the 8 is in in the number 38,341,097.54
Sophie [7]
It’s in the Millions place
4 0
3 years ago
Find a common difference of the arithmetic sequence -2, -1 4/5, -1 3/5, -1 2/5,
elixir [45]

Answer:

The common difference is \frac{1}{5} or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term      = a₁ = -2

Second term = a₂ = \frac{-9}{5}

Third term     = a₃ = \frac{-8}{5}

Fourth term = a₄ = \frac{-7}{5}

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,\textrm{common difference}= \textrm{Second Term} -\textrm{First Term}=\textrm{Third Term}-\textrm{Second Term}

\textrm{common difference} = a_{2}- a_{1}= a_{3}- a_{2}=a_{4}- a_{3}

∴ d = \frac{-9}{5}-(-2)\\d=\frac{-9}{5}+2\\d=\frac{1}{5}\\ \therefore d =0.2\\

The common difference is \frac{1}{5} or 0.2

6 0
3 years ago
How do i do the problem
cluponka [151]
The correct answer is 4 and 1/8
6 0
3 years ago
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