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3 years ago

Nancy decides to roll a Die 3 times what is the possibility she would get all even numbers

1 answer:

7 0

The probability of getting an even number is 1/2 on each throw. So getting an even number on all three throws is 1/23=1/8.

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

7x-11=5(x-2)+2x-1= ?

yan [13]

0 = 0

Simplifying
7x + -11 = 5(x + -2) + 2x + -1

Reorder the terms:
-11 + 7x = 5(x + -2) + 2x + -1

Reorder the terms:
-11 + 7x = 5(-2 + x) + 2x + -1
-11 + 7x = (-2 * 5 + x * 5) + 2x + -1
-11 + 7x = (-10 + 5x) + 2x + -1

Reorder the terms:
-11 + 7x = -10 + -1 + 5x + 2x

Combine like terms: -10 + -1 = -11
-11 + 7x = -11 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-11 + 7x = -11 + 7x

Add '11' to each side of the equation.
-11 + 11 + 7x = -11 + 11 + 7x

Combine like terms: -11 + 11 = 0
0 + 7x = -11 + 11 + 7x
7x = -11 + 11 + 7x

Combine like terms: -11 + 11 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 0

Solving
0 = 0

3 0

3 years ago

Drew collins purchased a new treadmill for $1,662. He made 15% down payment and financed the remainder. What amount did he finan

BigorU [14]

Given that Collins made 15% down payment, the amount to be financed will be given by:
(Price of treadmill)-(down payment)
down payment=15/100×1662
=$249.3
thus the amount to be financed will be:
1662-249.3
=$1412.7

8 0

3 years ago

This is a really hard question

Anastasy [175]

Answer: