One way of doing this is to write the equation of ratios (15 screwdrivers / 45 screwdrivers) = ($300 / x). Solve this equation for x. To do this, you might try multiplying both sides of this equation by x to eliminate fractions.
Another way is to obtain the unit cost of each screwdriver and then multiply the result by 45 screwdrivers.
Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
Answer:
y = 5
Step-by-step explanation:
AB = | 8 - (- 4) | = | 12 |= 12
Divide 12 by the sum of the parts of the ratio, 1 + 3 = 4
12 ÷ 4 = 3
Thus
y = 8 - 3 = 5
Write the ratio as a fraction in the fourth column of the table.
Answer:
GQ=25 units
Step-by-step explanation:
we know that
Point Q is the midpoint of GH
so
GH=GQ+QH and GQ=QH
GH=2GQ -------> equation A
we have
GH=5x-5
GQ=2x+3
substitute in the equation A and solve for x
5x-5=2(2x+3)
5x-5=4x+6
5x-4x=6+5
x=11
Find the length of GQ
GQ=2x+3
substitute the value of x
GQ=2(11)+3
GQ=25 units
