All categories

3 years ago

The sum of four consecutive integers is 418. Find them.

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

Answer: 103, 104, 105, and 106

Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.

First represent your 4 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

X + 3 ⇒ fourth integer

Since their sum is 418, our equation reads

x + (x + 1) + (x + 2) + (x + 3) = 418.

Simplifying on the left side we get 4x + 6 = 418.

Now we can subtract 6 from both sides of the equation and we have

4x = 412.

Now just divide both sides by 4 and we find that x = 103.

Finally, make sure you list all your answers.

If x is 103, then x + 1 is 104, x + 2 is 105, and x + 3 is 106

Therefore, our 3 consecutive integers are 103, 104, 105, and 106.

You might be interested in

Susan invests

Arturiano [62]

Let f=amount invested at 4% and e=amount invested at 8%

0.04f+.08e=800

However, e=2f so the above equation becomes:

0.04f+0.08(2f)=800

0.04f+0.16f=800

0.2f=800

f=$4000, since e=2f

e=$8000

So Susan invested $4000 at 4% and $8000 at 8%.

5 0

3 years ago

There are 7 black cards and 13 red cards. The probability of selecting a red card will be

kirill115 [55]

Answer:

0.65

Step-by-step explanation:

Add together 7 and 13: there are 20 cards.

Then the theoretical probability of selecting a red card will be:

------- = 0.65

7 0

2 years ago

Read 2 more answers

What is the perimeter of the figure

Natalija [7]

Answer:

The perimeter of the figure is 111.46 units

Step-by-step explanation:

Given:

RS = 43

LS = 18√2

A right Triangle is attached to a Rectangle.

A right Triangle is having measure angle 45° , 90°

and Hypotenuse = 18√2

∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}

∴ the right angled triangle is an Isosceles triangle.

∴ Two sides are equal LT = TS

To Find:

Perimeter of figure = ?

Solution:

we have

$\sin 45 = \frac{\textrm{side opposite to angle 45}}{Hypotenuse}\\$

we Know sin 45 = 1/√2

∴ $\frac{1}{\sqrt{2} }= \frac{LT}{18\sqrt{2}}\\\\\therefore LT = 18\ unit\\\\\therefore TS = 18\ unit\\$

Now ,

ARTL is a Rectangle

∴ opposite side of a rectangle are equal

∴ LT = AR = 18 unit

and AL = RT

But,

RT = RS - TS

= 43 - 18

∴ AL = RT = 25

∴ Perimeter of figure = AL + LS + RS + AR

= 25 + 18√2 + 43 + 18

= 86 + 18√2

= 111.455

= 111.46 units

∴ Perimeter of figure = 111.46 units

7 0

3 years ago

Explain how to estimate 368+231 two different ways

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

368..........400

231...........200

400+200 = 600

300+200 =500

68.......70

31........30

70+30 =100 500+100 =600

4 0

4 years ago

A guy walks into the store and steals $100 bill from the register without the owner’s knowledge. He comes back 5 minutes later a

Artemon [7]

The answer is $100
first the guy steals $100 from the owner. Therefore that $100 is a direct loss for the owner.
the same guy comes and pays $100 for goods worth $70. and the balance is paid back to the guy.
So the owner gets 100 and pays back 30 and gives goods worth 70. Therefore that transaction is cancelled as the amounts have been paid and no net effect with that transaction . the owner gets 70 for the goods he sold so that transaction wont lose his money. the fact that the guy paid for the bill with the money he stole isn't relevant here as the transaction has been completed
so the only loss for the owner is the $100 the guy stole at first
answer is $100

3 0

3 years ago

Read 2 more answers