Let the coordinates of the treasure be (x,y).
Let
= distance from the rock to the treasure.
Let
= distance from the tree to the treasure.
We want
= 5/9 in order to locate the treasure.
Note that 5/9 = 0.556 (approx)
Test (11.4, 14.2)
d1 = 14.8, d2 = 8.2, d1/d2 = 1.8 Incorrect
Test (7.6, 8.8)
d1 = 8.2, d2 = 14.8, d1/d2 = 0.554 Correct
Test (5.7, 7.5)
d1 = 6.13, d2 = 16.98, d1/d2 = 0.36 Incorrect
Test (10.2, 12.6)
d1 = 12.8, d2 = 10.2, d1/d2 = 1.255 Incorrect
Answer:
The correct answer is (7.6, 8.8)
The speed at which Mario can walk is given in the question and it is 3.9 miles/hour. Also we get to know from the question that Mario walked for 0.72 hours. The question requires the answer to the distance for which Mario walked.
Now
Mario in 1 hour can cover a distance of 3.9 miles
The n
The distance covered by Mario in 0.72 hours = (3.9 * 0.72) miles
= 2.808 miles
Then the distance covered by mario in o.72 hours is 2.808 miles.
Answer: You bought 7 books and you also bought 4 magazines
Explanation:
x = # of books purchased
y = # of magazines purchased
System of equations:
8x + 5y = 76
x + y = 11
Let’s use elimination in this case, but substitution can also work.
8x + 5y = 76
Multiply the (x + y = 11) by -8
We get:
8x + 5y = 76
-8x - 8y = -88
The xs cancel.
Add like terms.
-3y = -12
Divide by -3 on both sides
y = 4
Now plug in 4 into the (x + y = 11) equation to get x.
x + (4) = 11
Subtract 4 on both sides
x = 7
Answer:
8/13 cups of sugar
Step-by-step explanation:
Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?
For the above question
1 batch of chocolate chips cookies = 2/13 cups of sugar
4 batches = x
Cross Multiply
x = 4 × 2/13 cups of sugar
x = 8/13 cups of sugar
Answer:
Factored form (linear): (4x+3)(x-3)(x-5)
Step-by-step explanation:
Using long division and factoring, we can find the answer. Since the root/zero of <em>5 </em>is given already, we can change this into a factor of <em>(x - 5)</em><em> </em>as 5 is a root.
Step 1: Long division. Divide f(x) by (x-5)
Once you do long division, you should have left over (x-5)(4x²+9x-9)
Step 2: Factor the quadratic
Since you can't do gcf, you have to leave the 4x as a factor. Once you factor out the quadratic, you should get the answer:
(x-5)(4x+3)(x-3)
Step 3: Rearrange (Optional)
(4x+3)(x-3)(x-5)
