MATHEMATICS HIGH SCHOOL

Present age of Ram and Ravi are in the ratio4:3.The ratio of their ages will be 5:4 after
5 years. Find Ravi's present age​

Answers

Answer 1
Answer:

Answer:

15 years old

Step-by-step explanation:

Given the ratio of their ages = 4 : 3 = 4x : 3x ( x is a multiplier )

Then in 5 years the ratio of their ages is 4x + 5 : 3x + 5 = 5 : 4, that is

(4x+5)/(3x+5) = (5)/(4) ( cross- multiply )

4(4x + 5) = 5(3x + 5) ← distribute both sides

16x + 20 = 15x + 25 ( subtract 15x from both sides )

x + 20 = 25 ( subtract 20 from both sides )

x = 5

Thus

Ravi's age is 3x = 3 × 5 = 15
Answer 2
Answer:

Answer:

Step-by-step explanation:

Ravi présent âge 15 because présent would be 20:15 and then it would turn into 25:20

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What two numbers have a sum of 9 and a product of -10

125 invitations to 75 invitation

Answers

Answer:

The complete question is

Find the percent of change. Round to the nearest tenth if necessary.

25 points to 50 points .

Notice that this change is an increase, to fint the percetange of change, we just need to divide and then multiply by 100 to have it in percetange expression:

(50)/(25) * 100=2 * 100 = 200\%

So, the percentage of change is 100%, because the change is 25, that was the increase.

125 invitations to 75 invitations .

(75)/(125) * 100 = 60\%

Which means 75 invitations represents 60% of the old number of invitations.

So, the percentage of change is 40%, because that's the percentage of the difference.

32 pages to 28 pages .

You can do another process, first find the difference:

32-28=4

Then, you divide:

(4)/(32) * 100= 12.5 \%

So, the percentage of change is 12.5%.

7 players to 10 players.

10-7=3\n(3)/(7) * 100=0.43 = 43\%

So, the percentage of change is around 43%.

Is relation t a function? Is the inverse of relation t a function? Relation t:

x; 0 , 2 , 4 , 6
y; -10 , -1 , 4 , 8

Relation t is not a function. The inverse of relation t is not a function.

Relation t is a function. The inverse of relation t is a function.

Relation t is a function. The inverse of relation t is not a function.

Relation t is not a function. The inverse of relation t is a function.

( I think its a, but not sure ? )

Answers

Answer:

Hence, Relation t is a function. The inverse of relation t is a function.


Step-by-step explanation:

We are given the relation as:


x:    0 , 2 , 4 , 6


y:   -10 , -1 , 4 , 8

Clearly from the y-values corresponding to the x-values we could see that each x has a single image (single y-value).

Hence, the corresponding relation is a function.

Now we have to find whether the inverse of this relation is a function or not.

When we take the inverse of this function that is the y-values will behave as a pre-image and x-values as its image.

Hence we will see that corresponding to each y-value there is a unique image hence the inverse relation is also a function.

Hence, Relation t is a function. The inverse of relation t is a function.
Relation t is a function and the inverse of relation t is a function because each domain element unique and it is paired to an unique range element.

Rick needs to be at school at 8:15 A.M. It takes him 20 minutes to walk to school.At what time dose he need to leave to get to school on time?

Answers

Rick needs to leave at 7:55am to get to school on time.

7:55am is 20 minutes before 8:15am.

B is the midpoint of ZA. find the length of ZA

Answers

If it was more details, it would be easier to solve. But I can suggest a logical way. ZB + BA = ZA. If B is the midpoint it devides line on two equal lines.

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).

Answers

Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
f(x) = x + 8
g(x) = x² - 6x - 7

f(g(2)) = ((2)² - 6(2) - 7) + 8
f(g(2)) = (4 - 12 - 7) + 8
f(g(2)) = (-8 - 7) + 8
f(g(2)) = -15 + 8
f(g(2)) = -7

Factorize (4y-5)²+80y ​

Answers

Answer:

16y^2+40y+25

Step-by-step explanation:

{16y}^(2) + 40y + 25

Step-by-step explanation:

(4y−5)^2+80y

Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.

16y^2−40y+25+80y

Combine −40y and 80y to get 40y.

16y^2+40y+25
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