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aleksandr82 [10.1K]
2 years ago
10

Write an expression that represents the sum of m and 5 divided by 14.​

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

Answer:

(m+5)/14

Step-by-step explanation:

Sum= addition. M+5

divided= division. dividing m+5 by 14.

You might be interested in
A family discount card offers deals for the cinema. The card states:
Rufina [12.5K]

Answer:

a)£21.80

b) 3 trips

Step-by-step explanation:

The cost of an adult is $10.

A child’s ticket is $6.

FAMILY DISCOUNT CARD

- 45% off all adults tickets

- Children save 2/5 off of full price tickets

a) How much will it cost to buy 2 adult tickets and children’s tickets?

(a)

Adults: 2 × £10 = £20

(45 ÷ 100) x £20 = £9

£20 - £9 = £11

Children: 3 × £6 = £18

2 /5 of £18 = £7.20

£18 - £7.20 = £10.80

Total: £11 + £10.80 = £21.80

b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?

(b) Cost without discount = £20 + £18 = £38b)

No card

1 trip

1 × £38 = £38

2 × £38 = £76

3 × £ 38 = £114

With card

£40 + (1 × £21.80) = £61.80

2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60

3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40

3 trips before the discount card starts being cheaper than regular price

3 0
3 years ago
What’s the value of x?
lozanna [386]

x=13 because you put all of them in an equation and set them equal to 180 bc that is how many degrees are in a triangle so it would be 6x+19+5x-15+3x-6=180 and then you solve the equation so it would be 14x-2=180 then you would add to to both side which would cancel out on the left and make 182 on the right then divide 182 by 14 and you get 13.

6 0
3 years ago
How many colchicine tablets, each containing 600 mcg, may be prepared from 30 g of colchicine?
Leto [7]

Answer:

50,000 tablets may be prepared from 30g of colchicine

Step-by-step explanation:

This problem can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First Step:

The first step is knowing how many g are in a tablet.

Each gram has 1,000,000 mcg. So:

1g - 1,000,000 mcg

xg - 600 mcg

1,000,000x = 600

x = \frac{600}{1,000,000} = 0.0006

Each tablet has 0.0006g

Final step:

How many tablets may be prepared from 30g of colchicine?

1 tablet - 0.0006g

x tablets - 30g

0.0006x = 30

x = \frac{30}{0.0006}

x = 50,000

50,000 tablets may be prepared from 30g of colchicine

4 0
3 years ago
26% of college students live in campus housing. a random sample of 15 college students is selected. find the probability that 10
Sloan [31]

Answer:

<em>The probability that 10 or more students will live in campus housing is approximately 0.111%</em>

Step-by-step explanation:

<u>Binomial distribution formula:</u>

<em>If the probability of success is p, then the probability of r successes out of n trials will be:   ^nC_{r}(p)^r(1-p)^n^-^r</em>

26% of college students live in campus housing. So here,  p= 26\%= 0.26

A random sample of 15 college students is selected. So,  n= 15

Now, "10 or more students" means  10 or 11 or 12 or 13 or 14 or 15 students. That means,  r= 10, 11, 12, 13, 14, 15

Thus, the probability that 10 or more students will live in campus housing will be........

[^1^5C_{10}(0.26)^1^0(1-0.26)^5]+[^1^5C_{11}(0.26)^1^1(1-0.26)^4]+[^1^5C_{12}(0.26)^1^2(1-0.26)^3]+[^1^5C_{13}(0.26)^1^3(1-0.26)^2]+[^1^5C_{14}(0.26)^1^4(1-0.26)^1]+[^1^5C_{15}(0.26)^1^5(1-0.26)^0]\\ \\ = 0.00094...+0.00015...+0.00001...+ 0.0000014...+ 0.000000071...+0.0000000016...\\ \\ =0.00111002... =0.111002...\% \approx 0.111\%


3 0
3 years ago
Is the data set “the number of leaves on a branch” quantitative or qualitative? If it is quantitative, is it discrete or continu
bazaltina [42]
It is quantitive and from that, I'm pretty sure it's discreet, sorry if the second part isn't very helpful.

5 0
3 years ago
Read 2 more answers
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