Answer: g > 7
Graph has an open circle at 7 on the number line, shading to the right
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Explanation:
Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.
We subtract to undo the addition happening to the 'g'.
g+5 > 12
g+5-5 > 12-5
g > 7
So the number is larger than 7. For instance, if g = 8, then,
g+5 > 12
8+5 > 12
13 > 12
This is a true statement.
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If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.
In summary, the graph has an open circle at 7 and shading to the right.
Answer:
x = 3
y = 2
Step-by-step explanation:
Given
y = -2x + 8
y = x - 1
Substitute x - 1 for y in the first equation
We have
y = -2x + 8
x - 1 = -2x + 8
Add 1 to both sides to eliminate 1 on the left side
x - 1 + 1 = -2x + 8 + 1
x = -2x + 9
Add 2x to both sides to eliminate 2x on the right side
x + 2x = -2x + 2x + 9
3x = 9
Divide both sides by 3 to isolate x
3x/3 = 9/3
x = 3
Now substitute 3 for x in either equations to get y
Using the second equation, we have
y = x - 1
y = 3 - 1
y = 2
x = 3 and
y = 2
Answer:
The improper fraction is 39/4.
Step-by-step explanation:
9 3/4 = 36 + 3 / 4
= 39/4
Thus the improper fraction is 39/4.
Hope I helped!
Answer: 160 cans
Step-by-step explanation:
Step 1: Write out what you know and what your equation is
1/4 pound = 8 cans
5 pounds = x cans
Step 2: Find how many can you need to make 1 pound
1/4 pounds = .25 pounds
.25 x 4 = 1 pound 8 x 4 = 32
1 pound = 32 cans
Step 3: Finish Solving
1 pound = 32 cans
5 pounds = x cans
5 pounds = 32 x 5
5 pounds = 160 cans
Hope This Helps!
