The cost or unit price for purchasing each pair of work gloves is $1.19.
The cost of 7 dozen pairs of padded work gloves purchased by the contractor is $99.96.
The incorrect unit price calculated by the contractor is $14.28 per pair.
Now, we know 1 dozen is equal to 12 units.
Therefore,
The number of pairs of gloves purchased = 7 × 12 = 84
As the total cost is $99.96, the cost of each pair will be:
= $99.96 ÷ 84
= $1.19
The error by the contractor was that she didn't consider the word dozen in his calculation. She simply divided the total cost by 7 to calculate the price per pair.
The unit price of purchasing each pair of work gloves is $1.19.
Learn more about unit price here:
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68.54 of the surface of the water
Let's plug in what x =, y-3 into 2x+y=12
2 (y-3)+y=12
distribute 2 to both y and -3
2y-6+y=12
add all ys
3y-6=12
+6 both sides
3y=18
÷3 both sides
y=6
plug in y into x=y-3 to find x
x=6-3
x=3
cos a = 3/4
Step-by-step explanation:
Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8
Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²
⇒ (cos²a)² - (sin²a)² = 1/8
Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a
⇒ (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8
⇒ (cos²a - sin²a) = 1/8 since cos²a + sin²a = 1
⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a
⇒ 2 cos²a - 1 = 1/8
⇒ 2 cos²a = 1 + 1/8 = 9/8
⇒ cos²a = 9/16
⇒ cos a = 3/4
Answer:
28 questions
Step-by-step explanation:
In the first 10 mins she answered 2/5 of 40 which is 16. The remaining amount is 24 questions and half of that is 12. So she answered 12 questions in 15 mins. Finally you add them to get 28 questions in 25 minutes.
