Here is number 7:
Here is number 8:
Use the quadratic formula to find the other two solutions:
Y + 4/9 = 2/3
Let's convert 2/3 into 6/9 so it will be easier to subtract.
Y + 4/9 = 6/9
Subtract 4/9 on both sides.
Y = 2/9 Hope this helps!
Answer:
21:8
Step-by-step explanation:
<u>Given information:</u>
Lori (x) is 8 years old.
In 5 years (x + 5), Philip will be twice Lori's age (y + 5 = 2(x + 5))
<u>The missing value, y, is needed to find the ratio for Lori's and Philip's ages in the present. To find y, solve this equation:</u>
y + 5 = 2(x + 5) First, distribute the 2 into x + 5.
y + 5 = 2x + 10 Next, isolate the variable y by subtracting 5 from both sides.
y = 2x + 5 After that, add in the value of x, 8.
y = 2(8) + 5 Finally, simplify the right side to find Philip's age.
y = 16 + 5
y = 21
<u>Now for the easiest part: The ratio of Philip's age now to Lori's age now.</u>
because 21 is not divisible by any of 8's factors, the current ratio of 21:8 cannot be simplified further.
So, the ratio is 21:8
Answer:
90 seconds
Step-by-step explanation:
If James eats 32 hotdogs in 60 seconds, we want to find how long it would take James to eat 48 hotdogs.
We can use proportion to solve this problem.
If 32:60, then 48:x.
Since it will required more seconds to eat 48 hotdogs, 32 will divide.
If more, less divides.
Therefore
Therefore it will take James 90 seconds if he eats at the same rate
X° =x × pie/180 radian. it's the measurement in radian scale
and for x radian it will be (180/pie) × x
