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4 years ago

Find three consecutive even integers have a sum of 48.

Mathematics

2 answers:

yan [13]4 years ago

7 0

Answer:

14, 16, 18

Step-by-step explanation:

x + (x+2) + (x+4)= 48

3x + 6 = 48

3x = 42

x = 14

x+2 = 16

x+4 = 18

yanalaym [24]4 years ago

7 0

Answer:

14, 16 and 18

Step-by-step explanation:

let the numbers be defined as x, x+2 and x+4.

Now,

x+x+2+x+4=48

3x+6=48

subtract 6 from both sides

3x=48-6

3x=42

divide both sides by 3

x=42/3=14

therefore

x=14

x+2=16

X+4=18

Hence, the numbers are 14, 16 and 18.

You might be interested in

Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 18 mph, and ship B sails east at 17 mph.

ladessa [460]

Answer:

24.8 mph

Step-by-step explanation:

as we know if one sailed north and another east, the angle with respect to the port will be 90 degrees

This means that the distance of each ship to the pier can be the legs of a rectangular triangle

The distance of a ship from the other would be represented by the hypotenuse

h: Hipotenuse

c1: leg 1

c2: leg 2

By Pythagoras we know that the hypotenuse is equal to

h = √(c1^2 + c^2)

if we replace with the values we have left

h = √(18^2 + 17^2)

h = √(324 + 289)

h = √613

h = 24.758

we round a decimal place

h = 24.8

3 0

3 years ago

Simplify the expression. 10C7 A. 1 B. 3,628,800 C. 604,800 D. 120

Sophie [7]

Answer:

Combination

Step-by-step explanation:

Here by 10C7 we actually mean, $C_{7}^{10}$

And the formula for evaluating mCn is

$=\frac{m!}{n!*(m-n)!}$

Therefore

10C7 =

$=\frac{10!}{7!*(10-7)!} \\=\frac{10!}{7!*3!} \\$

Where m! is called m factorial and can be evaluated as

m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1

Hence

10!= 10*9*8......*3*2*1

7!= 7*8*6.....3*2*1

3!=3*2*1

With these we can evaluate

10C7

$=\frac{10*9*8*7*.....3*2*1}{(3*2*1)*(7*6*5....3*2*1)}\\=\frac{10*9*8}{3*2*1} \\=\frac{10*3*4}{1} \\=120$

Hence the answer is D

4 0

3 years ago

Solve the equation for y in terms of x 3x-2y=6

Katarina [22]

Answer: 3/2x - 3 = y

Step-by-step explanation:

3x - 2y = 6

+2y = +2y

3x = 6 + 2y

-6 = -6

3x-6 = 2y

/2 = /2

3/2X - 6/2 = y

3/2x - 3 = y

6 0

3 years ago

Solve the system. Enter the smallest x-coordinate first

pentagon [3]

$y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2$

Step-by-step explanation:

Solving the following system of equations:

$x^2-y=1\\2x^2+y^2=17$

Let

$x^2-y=1\,\,\,(1)\\2x^2+y^2=17\,\,\,(2)$

Putting value of x^2 in eq(2)

$x^2 = 1+y\\Putting\,\,value\,\,of\,\,x^2\,\,in\,\,eq(2)\\2(1+y)+y^2=17\\2+2y+y^2=17\\y^2+2y+2-17=0\\y^2+2y-15=0\\Factorizing:\\y^2-3y+5y-15=0\\y(y-3)+5(y-3)=0\\(y+5)(y-3)=0\\y+5=0 \,\,and \,\, y-3=0\\y = -5 \,\,and \,\, y=3$

Now, finding value of x

Putting y=-5

$x^2 = 1+y\\x^2=1-5\\x^2=-4\\Taking\,\,square\,\,root\\x= \pm2i$

y=-5, x= 2i and y=-5 , x= -2i

Since we need to find x and y coordinates and its value cannot be in terms of i so we will not consider these as answer

Putting y=3

$x^2 = 1+y\\x^2=1+3\\x^2=4\\Taking\,\,square\,\,root\\x= \pm2$

So, $y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2$

Keywords: system of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

3 years ago

The image point of A after a translation right 1 unit and down 2 units is the point B (9,3). Determine the coordinates of the pr

oksano4ka [1.4K]

Alright, it went 1 to the right and down 2 times.

So for point B, you calculate the opposite.

Point B goes 1 left while going up by 2.

(9 - 1, 3 + 2) = (8, 5)

Pre-image point A is (8, 5)

7 0

3 years ago