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3 years ago

Solve the inequalityx - 3 < 3x - 7.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Step-by-step explanation:

▪ x - 3 < 3x - 7

▪ x + 4 < 3x

▪ 4 < 2x

▪ 2 < x

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There are 5 persons and at a time only 3 can be arranged. What is the total number of arrangements?

disa [49]

Answer:

If there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60

Option C is correct

Step-by-step explanation:

There are 5 persons and at a time only 3 can be arranged.

The total number of arrangements = nPr = n!/(n-r)!

Here n = 5 and r = 3

nPr = n!/(n-r)!

nPr = 5!(5-3)!

nPr = 5!/2!

nPr = 5*4*3*2!/2!

nPr = 5*4*3

nPr = 60

So, if there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60

Option C is correct.

7 0

3 years ago

Questions and answers attached

Black_prince [1.1K]

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100

3 0

3 years ago

Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?

Bad White [126]

Answer:

$\frac{3}{r}+\frac{3}{8}=1$

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.

Let Sam can change the bulbs in the office alone in 'r' hours

Per hour work done by Sam alone = $\frac{1}{r}$

Let Sam takes he time to change the same bulbs in the office alone = 8 hours

Per hour work done by Sam = $\frac{1}{8}$

Since, Sam and Charlie complete the work together in time = 3 hours

Therefore, per hour work done by both = $\frac{1}{3}$

Equation for per work done by both will be,

Per hour work done by both = Per hour work done by Sam alone + Per hour work done by Charlie

$\frac{1}{r}+\frac{1}{8}=\frac{1}{3}$

Therefore, equation for the rate 'r' will be,

$\frac{1}{r}+\frac{1}{8}=\frac{1}{3}$

$\frac{3}{r}+\frac{3}{8}=1$

8 0

3 years ago

Read 2 more answers

Math Help PLEASE ASAP

enyata [817]

(B) Opposite sides are equal (otherwise, trapezoid, etc)

7 0

3 years ago

If anyone’s good with geometry, help me out please. I would really appreciate it.

lakkis [162]

Answer: X=2, PR=40

Step-by-step explanation:

given that the two triangles are equal/congruent

------------------------

solve for x

10x+5=25

10x=20

x=2

--------------------

solve for y

33=7y-2

35=7y

y=5

------------------

solve for PR

PR=8y

PR=8(5)

PR=40

Hope this helps!! :)

5 0

3 years ago

Solve the inequalityx - 3 < 3x - 7.​

Solve the inequalityx - 3 < 3x - 7.