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Daniel [21]
3 years ago
5

-3/7 +2z <49 how to work this?

Mathematics
2 answers:
Ivan3 years ago
8 0

The answer would be z < 173 / 7 . I hope this helps.


Zepler [3.9K]3 years ago
3 0

We need to isolate z on one side of the equation.

First, add 3/7 to both sides of the equation (this will cancel out the -3/7):

2z < 49 + 3/7

Let's change (49+3/7) into an improper fraction:

2z < 346/7

Divide both sides by 2 to get the answer:

z < 173/7

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A box contain 12 balls in which 4 are white 3 are blue and 5 are red.3 balls are drawn at random from the box.find the chance th
Anastasy [175]

Answer:

3/11

Step-by-step explanation:

From the above question, we have the following information

Total number of balls = 12

Number of white balls = 4

Number of blue balls = 3

Number of red balls = 5

We solve this question using combination formula

C(n, r) = nCr = n!/r!(n - r)!

We are told that 3 balls are drawn out at random.

The chance/probability of drawing out 3 balls = 12C3 = 12!/3! × (12 - 3)! = 12!/3! × 9!

= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/(3 × 2 × 1) × (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 220 ways

The chance of selecting 3 balls at random = 220

To find the chance that all the three balls are selected,

= [Chance of selecting (white ball) × Chance of selecting(blue ball) × Chance of selecting(red balls)]/ The chance/probability of drawing out 3 balls

Chance of selecting (white ball)= 4C1

Chance of selecting(blue ball) = 3C1 Chance of selecting(red balls) = 5C1

Hence,

= [4C1 × 3C1 × 5C1]/ 220

= 60/220

= 6/22

= 3/11

The chance that all three are selected is = 3/11

4 0
3 years ago
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
NikAS [45]

Answer:

y=\frac{1}{3} x+6

Step-by-step explanation:

(3,7)(-6,4)

Step 1. Find the slope (by using the slope-formula)

m = slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-7}{-6-3}

m=\frac{-3}{-9}

m=\frac{3}{9}

m=\frac{1}{3}

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula y=mx+b whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

y=\frac{1}{3} x+b

Find the y-intercept (b) by using a point and substituting their x and y values

y=\frac{1}{3} x+b

Point: (3, 7)

7=\frac{1}{3} (3)+b

7=1+b

b=7-1

b=6

Step 3. Write the equation in Slope-intercept form

y=mx+b

y=\frac{1}{3} x+6

3 0
2 years ago
The first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.
Licemer1 [7]

Answer:

Correct choice is C). mn=ac

Step-by-step explanation:

Given statement is that the first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.

We know that when we factor polynomial of type ax^2+bx+c ,product of both numbers m and n must be same as product of a and c.

Hence correct choice is C). mn=ac

4 0
3 years ago
What is the measure of
masha68 [24]

Answer:

about 54

Step-by-step explanation:

due to the fact that it is just about a reflection but the thing is that it must be around 90, but it really depends on the angle you measure it at.

6 0
2 years ago
Jamie kept track of the total hours and minutes she worked this week at the local health food store.
ddd [48]

1 hour = 60 minutes.

Convert the minutes to decimals by diving by 60

30/60 = 0.5

2 hours and 30 minutes = 2.5 hours

45/60 = 0.75

5 hours 45 minutes = 5.75 hours

15/50 = 0.25

3 hours 15 minutes = 3.25 hours

Ow add all the hours:

2.5 + 5 + 5.75 + 3.25 = 16.5 hours

Answer: B. 16.50

7 0
2 years ago
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