An elevator in a hotel moves at 20 feet per second. leaving from the ground floor, its height in feet after t seconds is given b

Response:

69

Detailed steps:

To calculate the total score for all tests, you take 93 and multiply it by 7 to get 651. Then, multiplying 90 by 8 results in 720. Subtracting 651 from 720 gives you 69.

Answer:

The amount of wool required for a sweater was 400 grams.

A hat needed 80 grams of wool.

A scarf required 75 grams of wool.

Step-by-step explanation:

Let

x ------> grams of wool necessary for a sweater

y -----> grams of wool necessary for a hat

z -----> grams of wool necessary for a scarf

From the information given

x+y+z=555 -----> equation A

y=x/5 ----> x=5y -----> equation B

y=z+5 ---> z=y-5 ----> equation C

By substituting equations B and C into equation A, we can solve for y:

(5y)+y+(y-5)=555

7y=560

y=80 grams

Now, find x

x=5(80)=400 grams

Next, determine z

z=80-5=75 grams

In conclusion,

400 grams of wool was required for the sweater,

the hat needed 80 grams of wool, and

the scarf required 75 grams of wool.

Response:

$888.21

Detailed explanation:

We'll split this problem into two parts.

First, determine how much money Henry earns after working for 37 hours. He makes $23.56 an hour, thus you multiply his worked hours (37) by his hourly rate (23.56) which results in $871.72.

Next, you need to account for the additional 42 minutes after the 37 hours. Since there are 60 minutes in an hour, you convert 42 minutes to hours by dividing by 60, giving you 0.7. Multiply 0.7 by $23.56 (his hourly rate) to obtain $16.49.

Combining both sums gives a total of 888.21 dollars.