Answer:
(11.7+11.2+10.5+10.3+x)/5=11.7
(43.7+x)/5=11.7
43.7+x=58.5
x=14.8lb
Answer:
terms: 5a, 2, 7
coefficient: 5
constant: 2, 7
variables: a
Step-by-step explanation:
i don't know what the like terms are sorry
Answer:
quadrant 4
Step-by-step explanation:
I find it helpful to remember that the cosine is positive in the right half-plane, and the sine is positive in the top half-plane. Knowing the relationship between sine and cosine and all the other trig functions, you can figure their signs in the various quadrants.
The bottom half-plane (sin < 0) and the right half-plane (cos > 0) overlap in the 4th quadrant.
Answer:
It is the first option
Step-by-step explanation:
They are saying the 3/5 of the class said PE was their favorite class. So, out of 65, 39 people said that was their favorite.
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
- Rectangle's Perimeter is 128 ft.
- "the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to
![L = 4 + W](https://tex.z-dn.net/?f=L%20%3D%204%20%2B%20W)
- Perimeter formula for Rectangle is
First, we find the Width by plugging the given values in the formula:
![128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30](https://tex.z-dn.net/?f=128%20%3D%202%28%284%20%2B%20W%29%20%2B%20W%29%5C%5C128%20%3D%208%20%2B2W%20%2B%202W%5C%5C120%20%3D%202W%20%2B%202W%5C%5C120%20%3D%204W%5C%5CW%20%3D%20%5Cfrac%7B120%7D%7B4%7D%5C%5C%5C%20W%20%3D%2030)
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
![128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34](https://tex.z-dn.net/?f=128%20%3D%202%28L%20%2B%2030%29%5C%5C%5Cfrac%7B128%7D%7B2%7D%20%3D%20%28L%20%2B%2030%29%5C%5C64%20%3D%20L%20%2B%2030%5C%5C64%20-%2030%20%3D%20L%5C%5CL%20%3D%2034)
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3