All categories

3 years ago

find three consecutive integers. such that 4 times of first integer is 18 more than the sum of the second and third integer

Mathematics

1 answer:

Juliette [100K]3 years ago

8 0

Three consecutive numbers are x, x+1 and x+2.

Four times the first integer is 4x

The sum of the second and third is (x+1)+(x+2)=2x+3.

So, we have

$4x = 2x+3+18\iff 4x=2x+21$

Subtract 2x from both sides:

$2x=21$

Divide both sides by 2:

$x=10.5$

So, you can't have three consecutive integers such that four times the first is 18 more than the sum of the other two: the three numbers would be 10.5, 11.5, 12.5.

In fact, you have

$4\cdot 10.5 = 42$

and

$11.5+12.5+18 = 24+18=42$

You might be interested in

A.) which of these expressions is equivalent to 4 x x

Law Incorporation [45]

Answer:

a) The correct option is C: 4x

b) The correct option is B: 2x

Step-by-step explanation:

a) Usually when we have a real number multiplying a variable, we do not need to write the multiplication symbol.

So instead of writing:

4×x

We can write:

And this will be equivalent.

Then in this case the correct option is C.

b) We know that if we have the multiplication of A by n, this will be equivalent to add A n times.

Then if we have the sum of A, for example, 4 times, we have:

A + A + A + A

And this can be written as 4*A

In this case, we have the expression x + x.

So we are adding x two times, then this can be written as: 2*x, or, as we said earlier, this also can be written as 2x.

Then the correct option is option B.

8 0

2 years ago

What is the sum of (2+4i) and (7+11i)

Romashka [77]

Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
9+15i

3 0

3 years ago

Read 2 more answers

If a person gets paid $290 a load and receive 5% increase on top of that, how much more is he getting paid?

lesya [120]

That person is getting $14.50 more. Since he gets a 5% increase from the set $290, you must multiply .05 (the percentage) with 290 (that person's original load payment). When you do so, you get $14.50 and that would be how much more the person is getting paid.

8 0

3 years ago

The diameter of the base of the cone measures 8 units.

kati45 [8]

Answer: $32\pi$ cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_{cone}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

$r=\frac{8units}{2}\\\\r=4units$

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi (4units)^2(6units)$

$V_{cone}=32\pi \ units^3$

8 0

3 years ago

after the holiday season, the average number of costumers per day at the game galaxy store decreased from 612 to 450. find the p

andrey2020 [161]

Simple, finding markdown, use these two formulas.

Markdown=Original-New
and
Percent Markdown= Markdown Amount/Original*100

So,

Markdown=612-450
M=162

Markdown%= 162/612*100
M%=0.2647*100
M%=26.5 (rounded)

Thus, there was a 26.5% decrease.

5 0

3 years ago