Well the sequence is each number is multiplied by 4. 5*4=20. 20*4=80. 80*4=320. 320*4=1280. 1280*4=5120. The sixth term is 5120.
Answer:
<h3>
Therefore total amount of money that he got is = $(5+0.50x) [ x = number of correct math]</h3>
Step-by-step explanation:
Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.
Let , the number of math that he answers correctly on his his math exam for the year is x
Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.
Therefore total amount of money that he got is = $(5+0.50x) [ x = number of correct math]
Best to factor 5 out of the first 2 terms:
5x^2-7x+2=0 => <span>5(x^2 - [7/5]x) +2=0
Take half of [-7/5]: That'd be -7/10.
Square 7/10, add it to </span>5(x^2 - [7/5]x) +2=0 and then subtract it:
5(x^2 - [7/5]x)+ 49/100 - 49/100 ) +2=0
Then we have 5(x- [7/10] )^2 - 49/100 ) + 200/100 = 0
5(x-7/5)^2 - 245/100 + 200/100 = 0
5(x-7/5)^2 - 45/100 = 0
Dividing all terms by 5, x-7/5 = plus or minus sqrt( 9/100 )
x-7/5 = plus or minus 3/10
Then one root is x = 7/5 + 3/10, or x= 17/10 (answer #1)
The other is x = 7/5 - 3/10, or x = 14/10 - 3/10, or x = 7/10 (answer #2)
The number of pumpkins sold will be the total number multiplied by the fraction sold...
294 x 2/3 =
588 / 3 =
196 pumpkins were sold
Step-by-step explanation:
It means "a divided by 3". You need to divide a by 3. You can also write it as "1/3a".