Determine the smallest integer value of x in the solution of the following inequality.4x – 1 > 18

Answers

Answer 1
Answer:

Answer:

x = 5

Step-by-step explanation:

You need to find de value of x.

4x - 1 = 18

4x = 18 + 1

4x = 19

x = 19/4

x = 4,75 but, the questions says:  smallest integer value, so, the smallest is the integer number more near of 4,75, which is 5.

testing:

x = 5

4*5 - 1 > 18

20 -1 > 18

19 > 18 TRUE

x = 4

4*4 - 1 > 18

16 - 1 > 18

15 > 18 FALSE


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A circle has a radius 12 milimeters. What is its area? Use 3.14 for pie

Answers

Step-by-step explanation:

Area of a circle = pi * r^2

                        = 3.14 ( 12)^2 = 452.16 mm^2

write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

                                        m= (y1-y2)/(x1-x2)

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    

$5 out of every $100 a worker earns goes for clothes. On $4,000 a year wages, how much does he spend on clothes?

Answers

If $5 out of every $100 a worker earns goes for clothes, the worker spends $200 on clothes from a $4,000 annual wage.

To determine how much a worker spends on clothes from a $4,000 annual wage, we need to calculate 5% of that amount.

The worker spends $5 out of every $100 earned on clothes. This means the worker spends 5% of their earnings on clothes.

To find 5% of $4,000, we can multiply $4,000 by 0.05:

$4,000 * 0.05 = $200

This calculation is based on the assumption that the worker consistently spends 5% of their income on clothes throughout the year.

To learn more about amount click on,

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Answer: $200 on clothes
(If he uses the 200 on clothes he basically only earns $3,800 yearly)

What numbers add to one and multiply to negative twelve

Answers

4 and negative 3. is the answer

48/64 Which choices are equivalent to the fraction below? Check all that apply. A. 8/6 B. 3/4 C. 6/8 D. 12/16 E. 9/12 F. 24/32​

Answers

Answer:

B, C, D, F

Step-by-step explanation:

to simplify the fraction 48/64, you need to divide both the numerator and denominator by their common factors. B is correct since you can divide both by 16, C is correct since both are divisible by 8, D is correct since both are divisible by 4, and F is correct since both are divisible by 2. A, however, would be correct only if the fraction were 64/48 and E would only be correct if 9 was a factor of 48 and 12 was a factor of 64, however neither haev such factors.  

B, C, D, F are the answers :)

If you sleep 7 hours every night how many hours are you awake in a year?

Answers

24h - 7h = 17h. 17 * 365= 6 205 h a year. In a leap year, it is 6 222 h a year.