Answer:
1 100
2 300
Step-by-step explanation:
If there are 15 boards there are 14 gaps in-between.
But first, 15 boards each 9 and 1/4th inches so you get a total of 138 inches and 3/4th
If you subtract that from 144 you get 5 inches and 1/4th. The remaining amount is the total of all of the distance from the spacing.
Then you divide that by 14 (number of gaps/spacing in-between.)
So you get .375 inches. (3/8)
So width of the spacing between each board is 3/8ths of a inch
Answer:
3/8
Step-by-step explanation:
First,
convert 3/4 of an hour to minutes;
If 1 hr = 60 mins
then 3/4 of 1hr = ![\frac{3}{4} *60\\ \\ =45 mins.Next, If 1/2 of 3/4 was spent practicing recital piece, it means that it is half of 45 mins;1/2 *45 = 22.5 minsLastly, convert the 22.5 mins into a fraction of an hour;22.5/60 = [tex]\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A60%5C%5C%20%5C%5C%20%3D45%20mins.%3C%2Fp%3E%3Cp%3ENext%2C%20%3C%2Fp%3E%3Cp%3EIf%201%2F2%20of%203%2F4%20was%20spent%20practicing%20recital%20piece%2C%20it%20means%20that%20it%20is%20half%20of%2045%20mins%3B%3C%2Fp%3E%3Cp%3E1%2F2%20%2A45%20%3D%2022.5%20mins%3C%2Fp%3E%3Cp%3ELastly%2C%20convert%20the%2022.5%20mins%20into%20a%20fraction%20of%20an%20hour%3B%3C%2Fp%3E%3Cp%3E22.5%2F60%20%3D%20%5Btex%5D%5Cfrac%7B3%7D%7B8%7D)
Answer:
See below.
Step-by-step explanation:
The x - 1 will move whole graph 1 unit to the right.
The 1/2 will stretch it horizontally by a factor 2.
The 2 will stretch it vertically by a factor 2.
The -7 translates it 7 units down.
Answer: x=−2
Step-by-step explanation:
x^3+2x^2+3x+6=0
(x+2)(x^2+3)=0
x+2=0 or x^2+3=0
x=−2
