I will rewrite the question for better understanding:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answer:
- <em><u>5.3 hours</u></em>
Explanation:
<u>1) Time it takes Ashley to preprate one bag: </u>
<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>
- 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
- 2/3 min + 1/2 min = 7/6 min
<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>
- Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:
- Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min
- Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min
- Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min
<u>4) Time of prepare 1575 bags of samples:</u>
- time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min
<u>5) Convert minutes to hours:</u>
- 356.56 min × 1 hour / 60 min = 5.3 hours
We have to find how the chess player can move a knight from one location to another.
Also we have to remember that the bottom - left square is labelled ( 1 , 1 ).
First he wants to move a knight from ( 3 , 2 ) to ( 5 , 1 ).
Answer: 2 squares left, 1 square down.
Then he wants to move it from ( 5 , 1 ) to ( 6 , 3 ).
Answer: 2 squares right, 2 squares up, 1 square left.
<span>Number line refers to a mathematical process of
solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally
count another 123.
Then from zero start counting the total number to the line you stopped when
adding 123 to 235.
This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here
x+y=64 and x-y=16 can be used to solve the system.
Step-by-step explanation:
Let,
x,y be the two shirts.
According to given statement;
Bob spent $64 on both shirts;
x+y=64 Eqn 1
The difference between the costs of the shirts was $16 means subtraction;
x-y=16 Eqn 2
x+y=64 and x-y=16 can be used to solve the system.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly
H represents the height of the ball at a given time, symbolised as t.
Thus, we just need to find when h = 0 so that we find when it hits the ground.
0 = -4.9t² + 19.6t + 58.8
0 = 4.9t² - 19.6t - 58.8
0 = 49t² - 196t - 588
0 = t² - 4t - 12
0 = (t - 6)(t + 2)
So, t = 6 or -2, but t ≠ -2, since time cannot be negative in this instance.
Hence, at 6 seconds, the ball will strike the ground.
