Answer:
Step-by-step explanation:
No. Of quarters n(Q)= 3
No. Of dimes n(D) = 5
No. Of nickels n(N) = 2
Total T = 3+5+2 = 10
Prob(D) = n(D)/T = 5/10 = 1/2
Now there are 9 left since it is not replaced back
Prob(Q) = 3/9 = 1/3
Prob(D and Q) = 1/2 × 1/3 = 1/6
Answer:
3) D
4) B
5) A
6) 2 (x + 7)
Step-by-step explanation:
3)
D. Distributive Property
The distributive property of multiplication over addition can be used when you multiply a number by a sum.
4)
B. 2 + 8 = 8 + 2
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.
5)
A. 4 x 1 = 4
The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.
6)
3 ( x + 3) - X + 5
3x + 9 - x + 5
2x + 14
2 (x + 7)
The sum of the angles of a triangle is 180°. So you can do:
91° + (8x + 3)° + (10x - 4)° = 180° To find x, you need to isolate/get the variable "x" by itself in the equation. First combine like terms (terms that have the same variable and power/exponent]
91 + 3 - 4 + 8x + 10x = 180 (I rearranged for the like terms to be next to each other)
90 + 18x = 180 Subtract 90 on both sides
18x = 90 Divide 18 on both sides to get "x" by itself
x = 5
PROOF
91° + (8x + 3)° + (10x - 4)° = 180° Plug in 5 for "x"
91° + (8(5) + 3)° + (10(5) - 4)° = 180°
91° + (40 + 3)° + (50 - 4)° = 180°
91° + 43° + 46° = 180°
180° = 180°
Answer:
Step-by-step explanation:
3rd one
Because the line is already written in slope-intercept form, we can find the slope and y-intercept just by looking at it.
<u>The slope is 6.</u>
<u>The y-intercept is -12.</u>
