The ages of amit and archana are in ratio 4:5. If amit is 4 years 8 months old, find the age of archana

Answers

Answer 1

Answer: 1 yr = 12 months...so 4 yrs = (12 x 4) = 48 months + 8 months = 56 months

4/5 = 56/x
cross multiply
4x = 280
x = 280/4
x = 70 months = 5 yrs and 10 months

Answer 2

Answer: convert 4 years 8 months into months=56 months
4+5=9
4/5 * X=56
x=280/4=70
therefore to find archana's age
5/9*70=39 months=3 years and 3 months

Related Questions

What are the 2 important elements to find in a linear function?
Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.
lois wants to send a box of oranges to a friend by mail. The box of oranges cannot excede a mass of 10 kg. If each orange has a mass of 200g, what is the maximum number she can send?
Posie plotted 3 points from the equation y = 2x on this coordinate grid. She drew a straight line through the points. Which ordered pair would also be on this line? A. (0, +2) B. (+8, +10) C. (+8, +16) D. (+4, +2)
Evaluate the summation of 2 n plus 5, from n equals 1 to 12..

Please hurry will mark as brainlyest.

Answers

Answer:

a is a pentagon and the angles inside are 108°

b is an octagon with angles of 135°

Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall contractor to complete her repairs for $1,200. Her neighbor Steve says he can complete the same job for $800. Sally could use a credit card to pay the contractor, but Steve can only accept cash. Sally’s credit card has a 14% APR for credit purchases and a 32% interest rate for cash advances. Expecting to pay $50 of the principle plus appropriate interest each month, Sally estimates that it would take her 24 months to pay off the contractor balance and 16 months to pay off the cash advance balance. In the end, would it be cheaper for Sally to hire the contractor or her neighbor to complete the repairs?

Answers

Answer:

Sally can chose Steve to work with.

Step-by-step explanation:

We will calculate EMI for both the contractor and Steve.

Contractor:

EMI formula = $(p*r*(1+r)^(n) )/((1+r)^(n)-1 )$

p = 1200

r = 14/12/100=0.0116

n = 24

Putting values in formula we get,

$(1200*0.0116*(1.0116)^(24) )/((1.0116)^(24)-1 )$

= $57.62

So, for $1200 at 14% for 24 months, Sally would have to pay $57.62 per month, or 57.62*24 = $1382.88 after 24 months.

Steve:

Similarly putting these values : (p=800, r=32/12/100= 0.0266 and n=16) in above formula we get, $62.08 per month or 62.08*16= $993.28 after 16 months.

Hence, even with the higher interest rate, Sally would pay:

1382.88-993.28 = $389.60 less if she chooses to work with Steve.

Though the monthly payments are almost same for the given timelines, still Sally can chose Steve.

It said the correct answer was the contractor

Whats the least common denominator for 2 ∕3 , 5 ∕6 , and 9 ∕4

Answers

Finding the least common denominator-
What is the smallest number that all denominators can go into? Well I see that the 2/3 has a relation to 5/6. ( 3 * 2 = 6 ).

4 (9/4) does not have a relation to the 6 in 5/6. So, what is the smallest number that 6 and 4 can go into? I see that it is 12. So the answer is 12.
All three numbers, 4, 6, and 3 can go into 12 and 12 is the smallest.

For what values of k does the equation x^2 - (5k+1)x + 9k^2 = 0 have real roots?

Answers

K has a range from[ -1/11 to 1]

real roots occur when the determinant b^2-4ac >= 0

so substituting:-

(5k + 1)^2 - 4*1* (9k^2) >= 0
25k^2 + 10k + 1 - 36k^2 >= 0
-11k^2 +10k + 1 >= 0
11k^2 - 10k - 1 <= 0
(11k + 1)(k - 1) <= 0

the equation will have real roots for -1/11 =< k <= 1

Recall, $\pi$ is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, $\pi$ =c/d. This seems to contradict the fact that $\pi$ is irrational. How will you resolve this contradiction?

Answers

Though $\pi$ = $(c)/(d)$ , it is an approximate value. As we get an approximate value and not a fixed one, there is no contradiction. Mathematically,
$(c)/(d)$ = $(2 \pi r)/(2r)$ = $\pi$ .
Hence, no contradiction.

Yes, it is true that π = c / d . However, note here that c or the circumference is known by the equation c = 2πr. In finding the circumference, we take value of pi approximately, and hence there is no contradiction. However, even if the circumference is accurate, it will be an irrational number. Recall that an irrational number operated in any way results again into an irrational number.

(50 POINTS) Composite Functions MATH please help

Answers

Answer:

a. C(x(h)) = 600h + 500

b. C(8) = 5,300

c. See below.

Step-by-step explanation:

a. C(x(h)) = C(30h) = 20(30h) + 500 = 600h + 500

b. C(8) = 600(8) + 500 = 5,300

c. 5,300 is the cost of making the number of shovels that can be made in 8 hours.

Other Questions

Newton and his friends were watching a movie. They watch 50% of the movie and then take a break. Then they watch the remaining 65 minutes of the movie. How long was the whole movie

What is the correct classsification of 23x+16 monomial binomial trinomial

What is the solution of the system of equations below?2x + 3y = 7x + y = 3(1) (1,2) (2) (2,1) (3) (4,-1)(4) (4,1)

For non-zero denominators, simplify: