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3 years ago

What interval includes all possible values of x, where -3(6 - 2x) >4x + 12

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Step-by-step explanation:

-3(6 - 2x) > 4x + 12

-18 + 6x > 4x + 12

2x > 30

x > 15

The solution set is (15, ∞).

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3 years ago

X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

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3 years ago