3 years ago

The sum of three consecutive terms x, y and z of an arithmetic progression is 45. If y=1/2(x+z), find the value of y.

Mathematics

1 answer:

Len [333]3 years ago

3 0

Answer:

y = 15

Step-by-step explanation:

x + y + z = 45 → (1)

Given

y = $\frac{1}{2}$ (x + z)

Multiply both sides by 2 to clear the fraction

2y = x + z ← substitute into (1)

2y + y = 45

3y = 45 ( divide both sides by 3 )

y = 15

You might be interested in

For the polynomial below,what is the power of the term with the coefficient of 1? X^3+1/3x^4+6x+5

valentina_108 [34]

Original Polynomial
${x}^{3} + \frac{1}{ {3x}^{4} } + 6x + 5$
Coefficient Concept Expansion
$1 \times {x}^{3} = {x}^{3}$
The Power of the term with 1 as the coefficient is 3.

A coefficient is a number multiplied by some variable. For instance, 4x has a coefficient of 4 or 56x has a coefficient of 56.

5 0

3 years ago

Read 2 more answers

Nancy borrows $5000 at a rate of 16% interest per year. What is the amount due at the of 5 hears if the interest is compunded co

Julli [10]

The amount due in 5 years is 11,000

4 0

3 years ago

Read 2 more answers

Admira is painting a rectangular banner 2 1/4 yards wide on a wall in the cafeteria. The Banner will have a blue background. Adm

bagirrra123 [75]

The solution to the problem is as follows:

Area=h×w

1(1/2) = h × 2 (1/4)

⟹3/2 = h × 9/4

h = 3/2 ÷ 9/4

Therefore, the height will be 2/3 yards if we use all the blue paint.


I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

8 0

3 years ago

If n(A) =15 n (B) = 9 n(A∩B) =4 find n(A U B)

Xelga [282]

Answer:

Step-by-step explanation:

n(A) only =15-4=11

n(B) only=9-4=5

n(A n B)=4

n(A U B)=11+5+4=20

5 0

2 years ago

5(p - 3) = 63 Who ever get this right Cash app 300 dollars to u

lesya [120]

Answer:

oh wait nevermind

8 0

2 years ago

Read 2 more answers

The sum of three consecutive terms x, y and z of an arithmetic progression is 45. If y=1/2(x+z), find the value of y.​

The sum of three consecutive terms x, y and z of an arithmetic progression is 45. If y=1/2(x+z), find the value of y.