All categories

2 years ago

Find four consecutive integers such that the sum of the second and fourth is 132

Mathematics

1 answer:

Ulleksa [173]2 years ago

7 0

Remark

As long as the representation shows the numbers come one after another, you can get x to be anything.

Givens

x Can be the second number

x - 1 Can be the first number

x + 1 Can be the third number

x + 2 Can be the fourth number

Equation

x + x + 2= 132

Solution

2x + 2 = 132

2x = 130

x = 65

So the 4 numbers are 64 65 66 67

Check

The second and fourth numbers added together = 65 + 67 = 132

You might be interested in

How many ways can a group of three boys and three girls be seated in a row of six seats if boys and girls must alternate in the

IgorC [24]

Answer:

Step-by-step explanation:

there are 6 seats and 3 boys, 3 girls.

First seat can be given to either boy or a girl.

So there are two ways.

If a boy is selected say, then he has to occupy 3rd and 5th only.

There are 2 ways

Now available positions are 2nd, 4th and 6th, in this girls can be arranged in 3! ways = 6

So total number of ways =

$2x2x6 = 24$

8 0

3 years ago

Solve the equation using the Quadratic Formula: (Hint: You may select

KIM [24]

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

please mark brainly

3 0

2 years ago

Read 2 more answers

The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If S

TEA [102]

Answer:

12.5 hours

Step-by-step explanation:

budget: 200

fix cost: 50

hourly rate: 12

hours: ?

----

First we deduct the fix 50 dollars cost from the total budget.

Then we divide the remaining amount with the hourly rate

( 200 - 50 ) / 12 = ?

? = 12.5 hours

8 0

3 years ago

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18% how many

Artemon [7]

The company will have a total number of 531 employees

5 0

2 years ago

You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y

Alona [7]

Answer:

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

3 0

3 years ago