Solve for x<br>-8+6(-x-3)+4x

Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

The eagles won 60% of the games they played last season. They played 15 games. How many games did they win?

Romashka-Z-Leto [24]

9 games multiply 0.6 to 15

8 0

3 years ago

Read 2 more answers

Please help me with this question I’m so confused

zavuch27 [327]

$s = ut + \frac{1}{2} a {t}^{2} \\ s = 10( \frac{1}{2} ) + \frac{1}{2} ( - 2) {( \frac{1}{2}) }^{2} \\ s = 10( \frac{1}{2} ) + \frac{1}{2} ( - 2)( \frac{1}{4} ) \\ s = 5 + ( - 1)( \frac{1}{4} ) \\ s = 5 + ( - \frac{1}{4} ) \\ s = 5 - \frac{1}{4} \\ s = \frac{20}{4} - \frac{1}{4} \\ s = \frac{19}{4}$

Hope it helps

Please give brainliest

4 0

2 years ago

Read 2 more answers

If a jogger runs 2 miles and burns 185 calories, how many calories would he burn if he jogged 3 miles?

aliina [53]

The total amount of calories burnt in jogging 2 miles = 185 calories

We have to determine the number of calories burned in jogging 3 miles.

Firstly, we will determine the amount of calories burnt in jogging 1 mile. We will use unitary method to evaluate this.

So, the total amount of calories burnt in jogging 1 mile = $185 \div 2$

= 92.5 calories

So, the amount of calories burnt in 3 miles = $3 \times 92.5$

= 277.5 calories

Therefore, 277.5 calories are burned in jogging 3 miles.

6 0

4 years ago

Read 2 more answers

You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property t

CaHeK987 [17]

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

$\$ \ 144,700 \times 0.72 = \$ \ 104,184$