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AlladinOne [14]
1 year ago
9

Solve for x. one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6 A. x= -19 and x =-11 b.

x=-41 and x =49
c. x=-19 and x =11 d. x =-11 and x =19
Mathematics
1 answer:
Firdavs [7]1 year ago
6 0

The value of x in the given expression can be either -41 or 45. The correct option is B.

<h3>What is Absolute Value?</h3>

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.

  • When x>0,

(1/5)(x-4) - 3 = 6

(x/5) - (4/5) - 3 = 6

(x - 4 - 15)/5 = 6

x - 4 -15 = 30

x = 30 + 15 + 4

x = 45

  • When x<0

(1/5)(-x+4) - 3 = 6

(-x/5) + (4/5) - 3 = 6

(- x + 4 - 15)/5 = 6

- x + 4 -15 = 30

-x = 30 + 15 - 4

-x = 41

x = -41

Hence, the value of x in the given expression can be either -41 or 45.

Learn more about Absolute value here:

brainly.com/question/1301718

#SPJ1

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A 3” x 5” photo is enlarged so that the length of the new photo is 7 inches. Find the width of the new photo.. a. 4.20 inches. c
Andrej [43]
As far as the old dimensions of the photo are concerned,
Width of the photo = 3"
Length of the photo = 5"
New length of the photo = 7 inches
Let us assume the new width of the photo = x inches
Then
3/5 = x/7
5x = 7 * 3
5x = 21
x = 21/5
   = 4.20 inches
So the correct option among all the options that are given in the question is the first option. I hope that the answer has come to your help.
3 0
3 years ago
The edge of the square is 33 cm.
Aleks [24]

Answer:

46.6

Step-by-step explanation:

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4 0
2 years ago
3. Calvin has a bucket of marbles. The table shows the number of marbles of each color Color Amount Red Blue 3 Yellow 4 Green Ca
dalvyx [7]

The false statement is (c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.

<h3>What are probabilities?</h3>

Probabilities are used to determine the chances of events

The table entry is given as:

  • Red  - 2
  • Blue - 3
  • Yellow  - 4
  • Green - 3

From the list of options, the false statement is

(c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.

This is so because:

  • Blue or Yellow = 3 + 4 = 7
  • Red or Green = 2 + 3 = 5

Notice the count of blue or yellow marbles (7) is greater than the number of  red or green marbles (5)

This means that, the probability of selecting a blue or yellow marble is greater than the probability of selecting a red or green marble.

Read more about probabilities at:

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2 years ago
Thanks for the help number 11
jasenka [17]

Answer:

C

Step-by-step explanation:

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I hope this helps you




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