The sum of three consecutive even numbers is 48. what is the largest of these numbers?

1 answer:

3 0

Let's name the three consecutive even numbers n, n+2, and n+4. We know that their sum will be divisible by 2 because they are all even, so we can set x = n/2, and say that x + x+1 + x+2 = 48/2 = 24. Then, we can solve for 3x + 3 = 24, 3x = 24-3 = 21, and x = 21/3 = 7.
Final answer: n/2 = 7, so n = 14, so n+4 (the greatest number) is 14+4 =
18.

You might be interested in

To fit between two Windows the width of a bookshelf must be no greater than 6 1/2 feet. Mrs. Aguilar purchases a bookshelf that

Ann [662]

To convert the measurement in feet to inches, multiply it by 12. 6 1/2 feet is equal to 78 inches. The bookshelf bought by Mrs. Aguilar has a width that is 1 inch lesser than the distance between windows. This suggests that the bookshelf will fit in the allotted space.

4 0

4 years ago

Quickly help me..!!!

NikAS [45]

The answer you have selected is correct. The answer to this question is 90.

5 0

4 years ago

Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.

Nimfa-mama [501]

Answer:

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

x(x-2)-1(x-2)=0

(x-2)(x-1)=0

x-2=0 or x-1=0

x=2 or x=1

6 0

3 years ago

Part : Find g(x) by identifying the function you are taking the square root of

aksik [14]

Answer:

g(x) = (3x-4)

Step-by-step explanation:

F(x) = sqrt( 3x-4)

We are taking the square root of (3x-4)

so g(x) = (3x-4)

4 0

3 years ago

The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.

saw5 [17]

Answer:

$x^2 + x -12$

Step-by-step explanation:

If the solutions are x=-4 and x=3, then it must have factors (x+4)(x-3). Assuming there is no GCF or leading coefficient other than 1, multiply with FOIL to find the standard form.

$(x+4)(x-3)\\x^2 + 4x -3x -12\\x^2 + x -12$

7 0

3 years ago

Read 2 more answers