All categories

3 years ago

Sum of three consecutive multiples of 6 is 648. One of these multiple is

Mathematics

2 answers:

Vsevolod [243]3 years ago

7 0

Answer:

The three consecutive multiples are 210, 216, 222

Step-by-step explanation:

3 consecutive multiples of 6 be : 6n , 6n + 6 , 6n + 12

Given sum of these 3 numbers is = 648

That is ,

6n + 6n + 6 + 6n + 12 = 648

18 n + 18 = 648

18n = 648 - 18

18 n = 630

n = 35

Therefore the three consecutive multiples are :

6 x 35 , 6 x 35 + 6, 6 x 35 + 12

210 , 210 + 6 , 210 + 12

210 , 216, 222

Ber [7]3 years ago

3 0

Answer:

Let two consecutive multiples of 3 be x and (x+3)

A/q,

x * (x+3) = 648

➡ x² + 3x = 648

➡ x² + 3x -648 = 0

➡ x² + 27x - 24x -648 = 0

➡ x ( x + 27 ) -24 ( x +27)

➡ ( x - 24) ( x + 27)

➡ x = 24 and x = -27

so, we take x = 24.

Required multiples of 3

➡ x = 24

➡ x +3 = 24+3 = 27.

You might be interested in

Mrs. Zabel, the yearbook adviser, always likes to sell a large amount of yearbooks because after the initial set-up costs are pa

mart [117]

(50,45)(125,37.50)
slope(m) = (37.50 - 45) / (125 - 50) = -7.5/75 = -0.1

y = mx + b
slope(m) = -0.1
(50,45)...x = 50 and y = 45
now we sub and find b, the y int
45 = -0.1(50) + b
45 = - 5 + b
45 + 5 = b
50 = b

so ur equation is : y = -0.1x + 50

so it the staff sells 150 yearbooks...
y = -0.1x + 50
y = -0.1(150) + 50
y = -15 + 50
y = 35 <== price per yearbook

5 0

3 years ago

Liam and his twin sister, Lexi, are frosting cupcakes for a school bake sale. Liam frosts 8 vanilla cupcakes and 16 chocolate cu

nydimaria [60]

They both frosted the same simplified ratio

5 0

3 years ago

Find the solutions of 6(2-7x)+x(7x-2=0)

azamat

$6(2-7x)+x(7x-2)=0$

Use distributive property: a(b - c) = ab - ac

$(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}$

Answer:\ $x=6\ \vee\ x=\dfrac{2}{7}$

8 0

3 years ago

5. During the eruption of Mount St. Helens in 1980. debris was ejected at a speed of over 440 feet per second

skelet666 [1.2K]

Answer:

3500 ft

Step-by-step explanation:

We assume you intend the equations to be ...

$y(t)=-16t^2+425t+8200\\x(t)=113t$

Then we can solve the second equation for t and use that in the first equation. We can solve the first equation for y=6000.

x = 113t

t = x/113

y(t) = y(x/113) = -16(x/113)² +425(x/113) +8200 = 6000

(16/12769)x² -(425/113)x -2200 = 0 . . . . . . subtract 6000, multiply by -1

Using the quadratic formula, the positive solution is ...

x = ((425/113) +√((-425/113)² -4(16/12769)(-2200))/(2(16/12769))

The fraction in the denominator can be inverted and used as a multiplier. We also use a√b = √(a²b) to simplify the radical.

x = (48025 +√4104275825)/32

x ≈ 3502.8

Rock was thrown about 3500 feet horizontally.

7 0

3 years ago

A rectangle has an area of 12 m find the perimeter in terms of one of its lengths

user100 [1]

Area = length x width
Perimeter = 2(l + w)

Let's imagine one of the sides is 6. The other side would have to be two, and the perimeter would be 16.

If one of the sides is 4, the perimeter would be 14.

If one of the sides is 1, the perimeter would be 26.

6 0

3 years ago

Sum of three consecutive multiples of 6 is 648. One of these multiple is​

Sum of three consecutive multiples of 6 is 648. One of these multiple is