The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
Answer:
Kelly is wrong and the recipe will make 19 cups of punch.
Step-by-step explanation:
It says:
The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,
Pineapple juice = 3 pints = 6 cups (1 pint ≈ 2 cups)
Orange juice = 5 cups
Lemonade = 1/4 gallon = 4 cups (1 gallon = 16 cups)
Apricot nectar = 1 quart = 4 cups(1 quart = 4 cups)
Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.
Thus, Kelly is wrong and the recipe will make 19 cups of punch.
Answer:
The measure of angle CKJ is 44°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠LKJ=m∠LKC+m∠CKJ ----> by addition angle postulate
substitute the given values
solve for x
<em>Find the measure of angle CKJ</em>
m∠CKJ=(x+53)°
substitute the value of x
m∠CKJ=(-9+53)=44°
A + b = 50
a = 2b - 43
2b - 43 + b = 50
+43 +43
3b = 93
b = 31
(31 x 2) - 43 = 19
a = 19 b = 31
31 + 19 = 50
