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Dovator [93]
3 years ago
15

find four consecutive even integers such that the sum of the third and fourth is 6 less than four times the first​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

The numbers are 2, 4, 6 and 8

Step-by-step explanation:

let the four numbers be x, y, z and l respectively

then:

x+y+z+l

(z+l)–6=4x

since they are all four consecutive even integers

then y=x+2

z=y+2=x+4

l=z+2=x+6

since (z+l)–6=4x

then ((x+4)+(x+6))–6=4x

2x+4=4x

4=4x–2x

4=2x

2=x

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an projectile is launched upward with a velocity of 256 feet per second from the top of a 35 foot structure. what is the maximum
Anettt [7]

1052.64 feet

Step-by-step explanation:

Step 1:

Given,

The projectile is launched upward with a velocity of 256 feet per second

The height of the structure is 35 foot.

Step 2 :

The velocity becomes 0 at the highest point.

The equation of motion is v² = u² +2as

where

v represents the final velocity

u represents the initial velocity

a represents the acceleration due to gravity

s is the height

Step 3:

Here  we have

u = 256 feet/sec

v = 0

a = -32.2 feet/sec²

Substituting in the above equation, we have

0 = 256² + 2 *(-32.2) *s

=>  -64.4 s = -65536

= > s = 65536/64.4 = 1017.64 feet

Hence the projectile travels 1017.64 feet from the top of the structure. Since the height of the structure is given as 35 feet, the maximum height attained by the projectile is 1017.64 +35 = 1052.64 feet

8 0
3 years ago
You roll a 6 sided die. What is P(roll great her than 4)? If necessary round your answer to 2 decimal place
brilliants [131]

Answer:

1/3 = 0.33

Step-by-step explanation:

in a 6 sided die, there are numbers 1, 2, 3, 4, 5 and 6. So if you roll it once, there are 6 possible outcomes. so 6 is your sample space.

Out of all the possible outcomes, 5 and 6 are the only outcomes greater than 4.

P(an event occurring) = (number of ways it can occur)/(sample space)

∴p(roll greater than 4) = 2/6

                                     =1/3

                                     =0.333333333333333333333333............................

                                     =0.33 (when rounded off to the 2nd decimal place)

So that's it!!! Hope i helped ya :)

                                       

4 0
3 years ago
Henry wants to build a structure with his new LEGO set. The LEGO set contains five hundred legos. The structure will be three le
evablogger [386]

Answer:

243

Step-by-step explanation:

7 0
3 years ago
-4x-y=24<br> Whats the missing value in the solution to the equation.<br> (__,8)
never [62]

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

                                           

                                             

4 0
3 years ago
The figure is made up of a hemisphere and a cone.
Dmitry [639]

Answer:

Volume of the figure = 2413.71 cubic inches.

Step-by-step explanation:

Volume of the figure = Volume of the hemisphere + Volume of the cone

= \frac{2}{3} \pi r^{3} +\frac{1}{3} \pi r^{2} h

=\frac{1}{3} \pi r^{2} (2r + h)

=\frac{1}{3} (\frac{22}{7} )(8)(8)(16+20)

=\frac{22(8)(8)(12)}{7}

= 2413.71 cubic inches.

4 0
3 years ago
Read 2 more answers
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