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dexar [7]
3 years ago
5

please help John's age increased by 11 is 5 less than 5 times his age. How old is he? If x represents John's age, which of the f

ollowing equations could be used to solve this problem? x + 11 - 5 = 5x x + 11 = 5x - 5 x + 11 = 5 - 5x
Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0
So x is John's age.
We can solve this problem by working backwards.
Since it's 5 times his age, we first do 5x.
And then since it's five less, we move on to 5x - 5
And then we add the John's age is increased by 11: 5x - 5 = x + 11
I hope this helped :)
(It should be the second one you listed)
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Joshua uses the Small Business Administration (SBA) Loan Program to obtain a loan to help expand his vending machine business. J
TiliK225 [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

Principal amount Joshua borrowed, P = $ 25000

rate of interest, r = 1.5 %

time, t = 2 years

simple interest = \frac{P*r*t}{100}

simple interest = \frac{25000*1.5*2}{100}=750

Means $ 750 will be the interest of Joshua's loan.

So, Joshua needs to repay the SBA = 25000+750=25750

Hence, Joshua will repay $ 25750 to SBA after two years.   :   Answer

Hope it will help :)





5 0
3 years ago
Please help <br> Show workings <br> Pleasssssseeeeee
Ad libitum [116K]
Just set them equal to each other
2x-2= x+3

2x-5=x
-5= -x
X=5

Hope it helps
7 0
3 years ago
Find the total number of diagonals for a polygon of 10 sides.
Ugo [173]
Diagonals = n(n-3)/n where n is the number of sides

if a polygon have 10 sides
= 10(10-3)/10
= 7

thus, the polygon have 7 diagonals.
7 0
2 years ago
A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
3 years ago
Help me pls what is 3(3)+1
drek231 [11]

Answer:its 10 :)

Step-by-step explanation:

4 0
2 years ago
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