Answer:
Let's solve your system of equations by elimination.
8x+9y=48;12x+5y=21
Steps:
Multiply the first equation by 5,and multiply the second equation by -9.
5(8x+9y=48)
−9(12x+5y=21)
Becomes:
40x+45y=240
−108x−45y=−189
Add these equations to eliminate y:
−68x=51
Then solve−68x=51for x:
−68x
/−68
=
51
/−68 (Divide both sides by -68)
x= −3
/4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
8x+9y=48
Substitute
−3
/4
8x+9y=48:
8(
−3
/4
)+9y=48
9y−6=48 (Simplify both sides of the equation)
9y−6+6=48+6 (Add 6 to both sides)
9y=54
9y
/9 = 54
/9 (Divide both sides by 9) y=6
<em><u>Answer: x= −3
/4 and y=6</u></em>
Hope This Helps! Have A Nice Day!!
Answer:
= One-half more than three-fourths of a number
= Three-fourths minus one-half of a number
= three-fourths minus the sum of a number and one-half
Step-by-step explanation:
Suppose x be an unknown number.
∵ 3/4th of a number = 
= One-half more than three-fourths of a number
Now, half of a number = 
= Three-fourths minus one-half of a number
Sum of a number and one-half = 
= three-fourths minus the sum of a number and one-half
The probability of randomly selecting a name starting with the letter T from bowl of 24 names depends on the names that are in the bowl,. The number 24 says nothing about the names. There can be neither probability that the randomly selected name starts with T, if in the bowl none of the 24 names starts with T.
It could be also unlikely to select a name starting with T if there is a really small number of names in the bowl starting with T (for example 1 or 2 from 24). And it can be likely to chose a name that start with T if there are many names in the bowl starting with T.So, it is important to know the number of names in the bowl starting with T.
Answer:
176+216+75=467
500-467=33
so 33 is the answer
Step-by-step explanation:
