Answer:
One rose bush = $3
One bunch of ornamental grass = $4
Step-by-step explanation:
We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:
We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:
Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:
Thus, 1 bunch of ornamental grass is $4.
In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
= 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
= 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
= 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
= (91 - 60)/8 miles
= 31/8 miles
= 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
Since the full price is $12 and the person paid one shirt full price and the other 50% off, the fraction would be 6/12. When you simplify that fraction you are left with 1/2. This means that the answer you are looking for is letter C.
Answer:
Part A: 9.75x > 195
Part B: x > 20
Step-by-step explanation:
Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.
We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195
divide both sides by 9.75 to solve for x
x > 20
Answer:
Let bags of pecans cost = x
Make an equation :
Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)
Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)
Cost for pecans = 3x
Cost for almonds = 5(x + 3) = 5x + 15
Price of pecans + price of almonds = total cost
Solve for x:
3x + 5(x + 3) = 55 (remove brackets)
3x + 5x + 15 = 55 (add like terms)
8x + 15 = 55
8x + 15 - 15 = 55 - 15 (get rid of the 15)
8x = 40
8x/8 = 40/8
x = 5
bags pecans cost is $5
bags of almonds is $5+$3 = $8
