Answer:
at least 48 yotal dogs are there
Answer: John is 6. Claire is 12.
Step-by-step explanation: 12 * 5 = 60. 6 * 2 = 12. 60 + 12 = 72.
Answer:
- m = 4/3; b = -4
- m = 3; b = -6
Step-by-step explanation:
In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.
<h3>1.</h3>
-3y = -4x +12 . . . . . subtract 4x
y = 4/3x -4 . . . . . . . divide by -3
The slope is 4/3; the y-intercept is -4.
__
<h3>2.</h3>
y = 3x -6 . . . . . . divide by 2
The slope is 3; the y-intercept is -6.
_____
<em>Additional comment</em>
Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.
(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)
Answer:
27a^3b^8+8a^9b^12 (D)
Step-by-step explanation:
We are to determine which of the expression above in the options satisfy sum of a cube.
For an expression to considered sum of a cube, it must meet two conditions:
1) the expression would have same sign. It is mostly positive. If both are negative, the negative sign could be factored out.
2) Each of the term in the expression must be a cube. That is, each term must be the result of multiplying the same expression three times.
Let's check out the expressions in the options:
a) -27a^3b^6+8a^9b^12
The two terms in the expression have opposite signs
b) -9ab^6 +9610
The two terms in the expression havd opposite signs
c) 9ab^6 + 8a^12
The two terms in the expression have same signs. But 9ab^6 isn't a cube as we can't multiply a tern 3times to derive it, but 8a^12 is a cube.
d)27a^3b^8+8a^9b^12
The two terms in the expression have same signs (positive). 27a^3b^8 is a cube, 8a^9b^12 is also a cube
27a³b^8 = 3ab² × 3ab² × 3ab²
8a^9b^12 = 2a³b⁴ × 2a³b⁴ ×2a³b⁴
From the options above 27a^3b^8+8a^9b^12 is sum of a cube
Step-by-step explanation:
We can also simply calculate the total number of possible outcomes of 3 coin flips, meaning the overall probability of exactly 2 coin flips out of 3 being tails is 37.5%.