Create an equation modeling the scenario. Use the equation to solve for the missing number. In your final answer, include the equation and all necessary calculations. Twice the sum of a number and seven is three times the number. 20 points

The number is 14.

The calculation is as follows:

Based on the above information, the calculation is as follows:

2(x+7)=3x  

2x+14=3x

x = 14

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Number = 14

Step-by-step explanation:

It is given that,

Twice the sum of a number and seven is three times the number

Let the number be x. Twice of the number is 2x. Three times of the number is 3x.

So,

2(x+7)=3x is the equation that models the given scenario

Opening brackets on LHS,

2x+14=3x

Subtracting 2x on both the sides

2x-2x+14=3x-2x

14=x

So, the number is 14.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

a

step-by-step explanation:

u take $30 minus $24. the answer/original($30)