Mathematics, 25.07.2019 15:30 delanorpalmer24

The sum of 5 consecutive even numbers is 200. what is the fifth number in this sequence?

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Answer from: nyny980

44

solution: x+(x+2)+(x+4)+(x+6)+(x+8)=200
5x+20=200
5x=180
x=36
5th number - x+8=36+8=44

Answer from: jjjp3993

Step-by-step explanation:

In order to solve this you just have to consider the first even number: 2x, because X could be an uneven number, but once you multiply it by 2 you make sure you are representing an even number. So there are 5 consecutive even numbers:

First number: 2x

Second number: 2x+2

Third number: 2x+4

Fourth number: 2x+6

Fifth number: 2x+8

So the equation would be:

2x+2x+2x+2x+2x+2+4+6+8=200

10x+20=200

10x=180

x=18

In order to calculate the fifth number we just insert the value of X into the fifth number equation:

2x+8

2(18)+8

36+8=44

The fifth number will be 44.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94

Can someone plz answer this for me? whoever answers it first, i will give !

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