Simplified: -23x+71
15-8(3x-7)+x
distribute
15-24x+56+x
combine like terms
-23x + 71
Answer:
Step-by-step explanation:
We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36
a.
<u>Prime numbers:</u>
- 2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)
b.
<u>Perfect squares:</u>
- 4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)
- P(perfect square) = (3 + 4)/36 = 7/36
c.
<u>Perfect cube:</u>
- 8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)
- P(perfect cube) = 5/36
Answer:
2 1/10 miles.
Step-by-step explanation:
She has already jogged 2 1/2 + 3 2/5 miles. This is 2 5/10 + 3 4/10 or 5 9/10. 8 miles is also equal to 7 10/10 miles. So, to find the remaining amount of miles, we can do 7 10/10 - 5 9/10 = 2 1/10.
Answer:
2.370
Step-by-step explanation:
In this, the word "and" means the decimal point so:
two and 3
=
2.3
so the tenths place would be the first number after the decimal point, you can think of it as counting backwards. 1000 100 10 "0" 0.1 0.01 0.001
thousnd hundrd tn zro tnths hundrds thousndths
so the 3 hundred would be 0.3 and the sevenTY thousandths would be 0.070
so add that all up and you get:
2.370
or
two and three hundreds seventy thousandths
Hope this helped! Pls Brainliest! It would help and mean a lot! ; )
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
