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strojnjashka [21]
3 years ago
11

Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of

8?
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

22/25

Step-by-step explanation:

Multiples of 8 betwen 1 - 50 =

8

16

24

32

40

48

there are 6 multiples of 8

Numbers that are not multiples of 8 = 50 - 6 = 44

Probability  the operator will choose a unit that is not a multiple of 8 = 44/50

Expressing in simpler terms = 22/25

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What is the equation of the lines that passes through the points (-2, -3) and (4, -5)?
antoniya [11.8K]
Since all the options are in the slope intercept form, we find the equation using the formula,

y = mx + c
We can find m, the slope using the formula,

m = \frac{ change \: in \: y }{change \: in \: x}
m = \frac{ - 5 - - 3}{4 - - 2}
m = \frac{ - 2}{6} = - \frac{1}{3}

On substitution,

y = - \frac{ 1}{3} x + c

We use any of the points, say (-2,-3) to determine the value of c.

- 3 = - \frac{1}{3} ( - 2) + c
c = - \frac{11}{3}

The equation is therefore,

y = - \frac{1}{3} x - \frac{11}{3}

The correct answer is D.
6 0
3 years ago
There is a special at the store: $61 for 10 roses. Larry is trying to figure out if it's a good deal. Help Larry figure out the
Law Incorporation [45]

Answer:

$6.10 per rose, i would say that it is not the best deal.

Hope this helps!!

3 0
3 years ago
Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le
julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is 6x-3 centimeters.

The width is  2x+6 centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u>\frac{4}{5} of the length.

2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\

Adding both sides by \frac{12}{5}

2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}

Subtracting both sides by 2x

2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\

By cross multiplication:-

5\times14x=5\times42\\ \\ 70x=210\\ \\

By diving both sides by 70

x=3

<u>Now, substituting the value:-</u>

The length = 6x-3 cm

                  = 6\times3-3=18-3=15\ cm

The width = 2x+6 cm

                 = 2\times3+6=6+6=12\ cm

Thus, length and width of canvas are 15 cm and 12 cm.

7 0
3 years ago
Find the lowest common denominator for the following fractions.
Marat540 [252]
Your answer is 6 because 6 is the smallest number that is divisible by both 2 and 3
6 0
3 years ago
Read 2 more answers
What is the value of g(2)? Please show work
4vir4ik [10]

By the inequality for x over on the right side if x is equal to or greater than 2 you use the bottom equation.

G(2) means x is 2.

Using the bottom equation replace the x’s with 2 and solve.

X^3 -9x^2 +27x-25

2^3 -9(2)^2+27(2)-25

Simplify:

8 -36 + 54-25 =1

The answer is A. 1

8 0
3 years ago
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