MATHEMATICS HIGH SCHOOL

the sum of present ages of ria and abby is 48 years. today abby is 4 years older than shweta. the respective ratio of the present ages of ria and shweta is 4: 7. what was abby's age two years ago?

Answers

Answer 1

Answer:

Answer:

30 years then.

Step-by-step explanation:

Let the present age of Ria be x and Abby be y, and of Sweta be z.

Then, according to the question,

x + y = 48 ..1

Today, Abby is 4 yrs older than Sweta,i.e.,

y = 4+z.(2)

Also, ratio of present ages of Ria:Sweta

x:z = 4:7
x/z = 4/7
4z = 7x..(3)

Putting the value of y from eqn (2) to eqn 1,

x + 4 + z = 48
x + z = 44( eqn : 4)

From eqn (3),

4z = 7x
x = 4z/7(eqn:5)

Putting the value of x in eqn (4),

4z/7 + z = 44
11z/7 = 44
z = 4*7 = 28

From eqn 5, putting the value of z in it,

x = 4*28/7
x = 4*4 = 16

Putting the value of x in eqn 1,

x+y = 48
y = 48 -16 =32

We have to find the age of Abby two years ago, i.e. 32-2 = 30 years old then back.

Answer

g(x) = (x + 5^)2

Explanation

Remember that:

- The translation $f(x+b)$ shifts the function $b$ units to the left

- The translation $f(x-b)$ shifts the function $b$ units to the right

We can infer from our vertices, that the vertex of g(x) is the vertex of f(x) shifted 2 units to the right. Since $f(x-b)$ shifts the function $b$ units to the right, we just need to subtract 2 units from f(x) = (x + 7)^2 to find g(x):

$g(x)=(x+7-2)^2$

$g(x)=(x+5)^2$

Answer:

The answer is B.

Step-by-step explanation:

I took the test

If the circumference is 34.54 units what is the radius

Answers

5.497211734394065. radius confirmed!

Can 12,35,37 be a right triangle

Answers

Answer:

Yes

Step-by-step explanation:

If it could be a right triangle, then 12^2 + 35^2 would have to equal 37^2

12^2 = 144

35^2 = 1225

37^2 = 1369

1225 + 144 = 1369, which is 1369.

That means that it CAN form a right triangle

Answer:

yes

Step-by-step explanation:

Publix has a 12 oz. box of Cheerios for $3.49. What is the unit rate per ounce?

Answers

Usually when in involves money, the format of the unit rate should be written as price per ______.

If we set up the rate given now, in a money/ounce format, it will be written like this:
$3.49 / 12 oz.

Because we're trying to find how much one ounce will cost (unit rate), we must divide $3.49 by 12 oz.

When dividing, you will get $0.29083....., which can be rounded to $0.29

The unit rate per ounce is $0.29.

Answer:

$3.49 / 12 oz.=0.29

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided by nine, ...

Answers

The sequence is decreasing so it is r<1, therefore it is converging

This is the formula for how to find the sum/limit of the convergence (or how to find a infinite geometric sequence): a1/(1-r)

a1=48

r=8/48=.167

Verifying r:

a1/r=48*.167=8.016=8

a1/r^2=48*.167^2=1.338672=1.34

4/3=1.33

(close enough)

Putting it into equation:

a1/(1-r)=48/(1-.167)=48/.833=57.62304922

Answer Choices:

A. Converges; 288/5

B. Converges; 0

C. Diverges

D. Converges; -12432

288/5=57.6

ANSWER IS A. Converges; 288/5

48, 8 , 4/3,2/9

note that each term after the first one is calculated by multiplying the previous on by 1/6. The sequence converges

Limit = a1 / (1 -r) = 48 / ( 1- 1/6) = 57.6 or 57 3/5

25% of 68000 is how much