The 2 angles add up to 90 degrees so
x + y = 90, also:-
x - y = 72 (given)
adding the 2 equations:-
2x = 162
x = 81
and therefore
y + 81 = 90
y = 9
Answer the 2 angles are 81 and 9 degrees
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So, 
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
Answer:
x = -10
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
Let the unknown number be x
If an unknown number is added to 8, this is expressed as;
8 + x
<em>If The sum is then divided by 9 to give the answer 10, then;</em>
<em>(8+x)/9 = 10</em>
<em>Cross multiply</em>
<em>8 + x = 9 * 10</em>
<em>8 + x = 90</em>
<em>x = 90 - 8</em>
<em>x = 82</em>
Hence the unknown number is 82
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
