Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
Answer:
You'll need 18 cups of chicken broth!
Step-by-step explanation:
You are using a ratio of 1/4 cup (lentils) to 2 cup (broth). Therefore, you need to find the relationship between lentil and broth.
- In order to get from 1/4 to 2, you multiply by 8. (1/4 * 8 = 2)
- Therefore, the common relationship is multiplying the lentil amount by 8
- So, 2 1/4 * 8 = 18
Therefore, 18 cups are needed :D
Easy, 2 times 4/5 is 2/1 time 4/5 = 8/5 or 1 3/5
With this problem, we have two right triangles meaning we will end up using the Pythagorean Theorem. For the sake of the problem, let's say the boat is at point D. The two triangles we have are ΔACD and ΔABD. Let's first go through and define the lines.
Let's start with ΔACD:
Port A is 24 miles from Port C so AC = 24mi. We will represent this as line a
Port C is 25 miles from Boat D so CD (the hypotenuse) = 25mi. We will represent this as line c
We do not know the distance between Port A and Boat D (AD also known as line b) so let's calculate that since we will need it at the end.
We can calculate line b's length using the theorem: a² + b² = c²
a = 24mi
b = ?
c = 25mi
So
(24)² + b² = (25)²
576 + b² = 625
Subtract 576 from both sides to isolate b²
576 + b² - 576 = 625 - 576
b² = 49
Now take the square root of both sides
√b² = √49
b = 7 miles.
Now we know that the distance between Port A and Boat D is 7 miles.
Now let's move on to ΔABD
Port B is 15 miles from Port A so AB = 15mi. We will represent this as line a
Boat D is 7 miles from Port A so AD = 7mi. This will still be line b
We do not know the distance between Port B and Boat D (BD also known as line c).
Time to use the Pythagorean Theorem once more!
a² + b² = c²
15² + 7² = c²
225 + 49 = c²
274 = c²
Take the square root of both sides
√274 = √c²
c ≈ 16.6mi when we round to the nearest tenth
So the distance between Port B and the boat is 16.6 miles
Consecutive even numbers are represented like this
even numbers are represented like this 2x=even
consecutive even numbers are 2 apart so
the numbers are 2x, 2x+2, 2x+4
so
2x+2x+2+2x+4=162
add like terms
6x+6=162
subtract 6 from both sdies
156=6x
divide both sdies by 6
26=x
the first even number=2x so
26 ties 2=52
second number=2x+2=52+2=54
third number=2x+4=52+4=56
the numbers are 52,54,56