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Tanzania [10]
2 years ago
11

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 4(7x - 1) =

3(2x + 1) - 4(x + 6)
Mathematics
2 answers:
vesna_86 [32]2 years ago
7 0

Answer:

The correct answer is x= -17/26

Step-by-step explanation:

First, what we do is expand this equation:

4(7x-1)=28x-4

and

3(2x+1)-4(x+6)=6x+3-4x-24=2x-21

Equalling this two equations:

28x-4=2x-21

Passing terms

28x-2x=-21+4  =>  26x= -17  => x= -17/26

Thus the answer is x= -17/26

AVprozaik [17]2 years ago
7 0

The correct answer is:  -17/26

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Write and solve an equation to find the number n. The difference of three times a number and 4 is -19.
Law Incorporation [45]

Answer:

-5

Step-by-step explanation:

Let n be the unknown number

difference is subtraction

3n -4 = -19

Add 4 to each side

3n-4+4 = -19+4

3n = -15

Divide by 3

3n/3 = -15/3

n = -5

4 0
2 years ago
Need help with math question
mote1985 [20]

Answer:

(-7,4)

Step-by-step explanation:

goal: (y-k)^2=4p(x-h)

y^2-8y=4x+12    Rearranged and added 4x and 12 on both sides

y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)

y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)

(y-4)^2=4x+12+16  (now write the left hand side as a square)

(y-4)^2=4x+28

(y-4)^2=4(x+7)    factored...

vertex is (-7,4)

4 0
3 years ago
Read 2 more answers
A recent survey found that 7575​% of all adults over 50 wear glasses for driving. In a random sample of 4040 adults over​ 50, wh
malfutka [58]

Answer:

Mean = 30

standard Deviation = 2.74

Step-by-step explanation:

Formula

mean = np

Standard Deviation = \sqrt{npq}

from the question = 40

P = 75% or 0.75

q = 1 - p = 1 - 75% or 1 - 0.75

To find mean

mean = 40 x 0.75

           = 30

For Standard Deviation (SD)

Standard Deviation = \sqrt{npq}

       = \sqrt{40 X 0.75 X 0.25

      = \sqrt{7.5}

:. Standard  Deviation       = 2.74

5 0
2 years ago
A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questio
nadezda [96]

There are total 500 ways in which Caroline can answer the exam.

Step-by-step explanation:

Here, the total number of questions in the test  = 5

The total number of multiple choice questions = 3

The total number of True/False question = 2

Let the numbers of the given question be 1,2 ,3,4, and 5.

Now, the total number of options available to answer question 1 = 5 options

Similarly,  number of options available to answer question 2 = 5 options

The number of options available to answer question 3 = 5 options

The number of options available to answer question 4 = 2 options ( T or F)

The number of options available to answer question 5 = 2 options ( T or F)

So, here the total available options to answer all 5 questions

= The total option available for  question ( 1 x 2 x 3 x 4 x 5)

= ( 5 ways  x 5 ways x 5 ways x 2 ways x 2 ways)

= 500 ways

Hence, there are total 500 ways in which Caroline can answer the exam.

8 0
3 years ago
What is the surface area of the square pyramid represented by the net?
jeyben [28]
The surface area is 252 m
8 0
2 years ago
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