4. One number is 16 more than another. The ratio of the smaller number to the larger number is 3: 7. What is the value of the smaller number?

12

Step-by-step explanation:

So if the difference between the two number is 16 and the distance between the two numbers in the ratio is 4, that means the real numbers are 4 times greater than the ratio (because 4 * 4 = 16).

This means that you can multiply both sides of the ratio by 4 to get the two numbers 3: 7 --> 3*4: 7 * 4 --> 12: 28.

This means that the smaller number is 12.

hope that makes sense!

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.

5/12, or 5: 12

step-by-step explanation: