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almond37 [142]
3 years ago
9

The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the

numbers.
​
Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

Step-by-step explanation:

"The difference of two numbers is 15."

x-y = 15

x>y

"Five times the smaller number is the same as 9 less than twice the larger number."

5y = 2x-9

y = x-15

substitution

5(x-15) = 2x-9

5x-75 = 2x-9

3x = 66

x = 22

y = x-15 = 7

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A loan of £1000 has a compound interest rate of 2.7% charged monthly. Express the original loan as a percentage of the total amo
const2013 [10]

Answer:

£1054.729

Step-by-step explanation:

To find compound interest you need to use the equation 1000(1.027)^x.

To find the interest rate (1.027):

100 + 2.7 = 102.7

102.7 / 100 = 1.027

The value of x is the amount of months if no payment is made in this situation, so 2 would be the x value for this problem.

Hope this helps!  

8 0
3 years ago
A special discount was offered to the employees of Ryan's, a lead ing men's store. Employees were given their employee discount
Helen [10]

Answer: a) $2155, b) $1763.03.

Step-by-step explanation:

Since we have given that

Number of cable knit sweaters = 15

Cost per sweaters = $65.00

Number of pairs of khaki twill pants = 22

Cost of each pair = $50.00

Number of casual jackets = 18

Cost of each jackets = $62.00

total sale volume would be

15\times 65+22\times 50+18\times 62\\\\=\$3191

Employee discount = 35%

Additional discount = 15%

So, Total markdown dollars taken is given by

3191\times \dfrac{100-35}{100}\times \dfrac{100-15}{100}\\\\=3191\times \dfrac{65}{100}\times \dfrac{85}{100}\\\\=3191\times 0.65\times 0.85\\\\=\$1763.0275

Hence, a) $2155, b) $1763.03.

4 0
3 years ago
How many sides do 3 octagons and 3 pentagons have in all?
Neporo4naja [7]
39 sides is the answer to it
3 0
3 years ago
Read 2 more answers
The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two
wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean =\lambda=2 errors  per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that a randomly selected page does not need to be retyped is given by :-

P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767

Hence, the required probability :- 0.6767

6 0
3 years ago
Write 24 as a prime factors what is the answer
djverab [1.8K]
Write a number as prime factors means to write the number as a product of numbers, all of which are prime. We start by checking whether the number is divisible by prime numbers, starting from the smallest prime number,2.

let's divide 24 into its factors.

first, it's even, so it must divide by 2

24=2*12

12 is also even, so it must divide by 2:


24=2*12=2*2*6

6 is also even, so it must divide by 2:


24=2*12=2*2*6=2*2*2*3

3 is not even, but it's a prime number.

so the solution is
2*2*2*3



7 0
3 years ago
Read 2 more answers
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