Cleo is 38 years old, which is twice as old as clara will be in 7 years. part a in how many years will clara be as old as cleo is now? a 12 years b 19 years c 26 years d 33 years part b how old will cleo be when clara is as old as cleo is now? a 57 years old b 64 years old c 71 years old d 78 years old

Part A : The answer is 26 years (C)

Part B : The answer is 64 years old (B)

Step-by-step explanation:

Part A:

If Clara now has x years old

Then her age after 7 years will be x + 7

∵ 38 = 2 ( x + 7) ⇒ Cleo age now is twice Clara age after 7 years

∴ 38 = 2x + 14

∴ 2x = 38 - 14 = 24

∴ x = 24 ÷ 2 = 12

∴ Clara age now is 12 years old

∴ Clara age will be equal Cleo age now after 38 - 12 = 26 years ⇒ (C)

Part B:

∵ Clara age will be as old as Cleo now after 26 years

∴ Cleo age will be = 38 + 26 = 64 years old ⇒ (B)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.