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

Please help!!!! largest, and smallest 6 digit number divisible by 2,3,4,5,6,8,9,10

Vadim26 [7]

Answer:

Basically it has to be divisible by 8, 9, and 10 because any number that is divisible by 2, 3, 4, 5, 6 must also be divisible by 8, 9 and 10. We know that the number has to end in 0, the sum of its digits must be divisible by 9 and the last three digits must be divisible by 8. Therefore, the smallest number is 10080 and the largest is 999360.

3 0

3 years ago

Plzz help, Find the volume of the figure

mezya [45]

Answer:

The answer is 896,000

Step-by-step explanation:

Just multiply all the numbers

6 0

3 years ago

Read 2 more answers

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFract

Lena [83]

Answer:

The correct answer is p $\geq$ $\frac{74}{80}$

Step-by-step explanation:

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( ) or less than equal to ( ) signs. We solve the above given inequality to find the solutions of the unknown p. An inequality reverses if and only if we we multiply both sides with a negative quantity. Addition or subtraction does not change the sign in the inequality.

$\frac{7}{10} \geq 1 + \frac{5}{8} + p\\\\\frac{7}{10} \geq \frac{13}{8} + p\\\\\frac{7}{10} - \frac{13}{8} \geq p\\\\\frac{-74}{80} \geq p\\p \leq \frac{-74}{80} \\p\geq \frac{74}{80}$