MATHEMATICS HIGH SCHOOL

Emily is three years older than twice her sister mary’s age. the sum of their ages is less than 30. let x represent mary's age. which inequality represents mary’s possible age? responses •0​

Answers

Answer 1
Answer:
  • x < 9

Step-by-step explanation:

Let's use the information given to create an inequality for Mary's age (represented as x):

↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.

↪ The sum of their ages is less than 30, so we can write an inequality:

  • x (Mary's age) + 2x + 3 (Emily's age) < 30

Now, We can simplify the inequality:

  • 3x + 3 < 30

Subtract 3 from both sides of the inequality:

  • 3x < 27

Now, divide both sides by 3 to isolate x:

  • x < 9

So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.

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Is 12.06060606 a rational number?

Answers

12.06060606 IS  a rational number .

(Numbers which have no end are irrational. they have infinite number of digits.)

Let f(x)=(4x^2-11)^3 and g(x)=4x^2-11. given that f(x)=(h^o g)(x), find h(x).

Answers

So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).

Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.

Therefore, h(x) = x^3

You can check this by working it backwards.

Start with: h(x) = x^3
Substitute: x = g(x) = 4x^2-11
Now you have: h(x) = (g(x))^3 = (4x^2-11)^3

Hope this helps!

Answer:

this is the answer

Step-by-step explanation:

Find the value of the expression below for r = 4 and t = 2
t^3 - r + 20 divided by r

Answers

Answer:

The value of the expression t^3-r+(20)/(r) is, 9

Step-by-step explanation:

Given: The expression t^3-r+(20)/(r)

Substitute the value of r=4 and t=2 in above expression to find its value;

t^3-r+(20)/(r) = (2)^3-4+(20)/(4)

Cube: the cube of a number t is its third power, the result of the number multiplied by itself twice. i.e, t^3 = t * t * t

Now, solve further we have;

(2)^3-4+(20)/(4) = 8 -4+(20)/(4)

Further, divide the number 20 by 4 we get the result 5 ;

⇒ 8-4+5 = 4+5 =9

Therefore, the value of the expression t^3-r+(20)/(r) is, 9.

the sum of Marys age and her moms age is 67.  Three times Marys age increased by 7 is her moms age.  How old is Mary and her mother

Answers

Sove the system:

x: Mary´s age
y: Mom´s age:

x + y = 67
3x + 7 = y

Replace y in the first equation:

x + 3x + 7 = 67
4x = 67 - 7
4x = 60
x = 15 yrs.

y = 67  - 15 = 52 yrs
Labels:
-- Mary's age = D (for 'daughter')
-- Mom's age = M (for 'mom')

The problem says 2 things:

         D + M = 67
and
       3D + 7 = M .

Let's subtract 'M' from each side of the first one:  D = 67 - M

Now we can plug that into the second one, in place of 'D'.
 
       3D          + 7 = M

       3(67 - M) + 7 = M .

Clear the parentheses on the left side.  I assume you know how to do that.

       201 - 3M + 7 = M

Add 3m to each side:

       201        + 7 = 4M

       208              = 4M

Divide each side by 4 :

       52 = Mom's age

Daughter's age = 67 - Mom's age = 67 - 52 = 15

If 6y-8=28, what is the value of y

Answers

The answer would be y = 6
6y-8=28
add 8 to both sides
6y=36
divide both sides by 6
y=6

What is 0.121212 expressed as the quotient of two integers in simplest form?

Answers

4/33

the way i do it, is i want 12 to be recurring, so i do 12/100, then i take away one from the denominator, so i get 12/99 = 0.121212.....

similarly, if i wanted 0.123123123, 

i could do 123/1000 then take away one from the denominator to get 123/999 and that should give us 0.123123123123
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