Answer:
136+ m ≥ 189 is the required inequality : m: The earning in 4th week
Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least $189.
Step-by-step explanation:
The amount earned by Arthur in first 3 weeks = $136
The amount needed to buy a coat = AT LEAST $189
Let us assume the amount Arthur needs to earn more to buy coat = $m
⇒ $ 136 + Amount Earned in 4th week ≥ $189
⇒ 136+ m ≥ 189
The above equation is the NEEDED inequality of the given situation.
Now, solving for the value of m, we get:
136+ m ≥ 189
⇒ m ≥ 189 - 136 = 53
or, m ≥ $53
Hence, Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least 189.
Answer:
Thus # 2 is correct (5 (y + 4))/2
Step-by-step explanation:
Simplify the following:
(5 y (y^2 - 16))/(2 y (y - 4))
(5 y (y^2 - 16))/(2 y (y - 4)) = y/y×(5 (y^2 - 16))/(2 (y - 4)) = (5 (y^2 - 16))/(2 (y - 4)):
(5 (y^2 - 16))/(2 (y - 4))
y^2 - 16 = y^2 - 4^2:
(5 (y^2 - 4^2))/(2 (y - 4))
Factor the difference of two squares. y^2 - 4^2 = (y - 4) (y + 4):
(5 (y - 4) (y + 4))/(2 (y - 4))
Cancel terms. (5 (y - 4) (y + 4))/(2 (y - 4)) = (5 (y + 4))/2:
Answer: (5 (y + 4))/2
First we divide all of the ingredients by 18 to see how much we nee for one rock cake.
9 / 18 = 0.5
6 / 18 = 0.33
2 / 18 = 0.11
6 / 18 = 0.33
8 / 18 = 0.44
Now we multiply all of these by 12.
0.5 * 12 = 6 ounces of flour
0.33 * 12 = 3.96 ounces of margarine
0.11 * 12 = 1.32 large eggs
0.33 * 12 = 3.96 ounces of sugar
0.44 * 12 = 5.28 ounces of fruit
Answer:
10
Step-by-step explanation:
We know that area is 50km^2 and to find area we know the formula it is Area = base * height, 50 = b*5, so b must be 10
You did #1 correctly.
#2). The question gives you the equation, and the numbers to use for 'a' and 'b', and it just wants you to plug in those numbers and do the arithmetic.
It says: The number of tiles needed is (a²) divided by (b²).
Then it says: a = 96 and b = 8. I know you can handle that !
Number needed = (96)² divided by (8)² .
Use your calculator:
(96)² = 9,216
(8)² = 64
Number needed = (9,216) divided by (64) = 144 tiles
#3). While reading #3 carefully, I realized that there's a table printed near it,
and you need the table to do the problem. But you can't see the table in the
picture, so we're stuck on this one.