Answer:
48 Siamese cats were surveyed
Step-by-step explanation:
Let x represent the total number of surveyed Siamese cats.
Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:
Number of cats who lapped = (5/8)x
Also, 3/16 admitted they would have preferred to use a straw:
Number of cats who used straw = (3/16)x
Taking into consideration that 39 of the Siamese cats gave one of those two answers:
(5/8)x + (3/16)x = 39
(13 / 16)x = 39
x = 39 * 16 / 13
x = 48
48 Siamese cats were surveyed
Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be <u>w = 2.4 inches.</u>
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer:
Step-by-step explanation:
What's the line look like?
First we need to use two point to find the slope (m)
m=(y2-y1)/(x2-x1)
X1=-8
Y1=-4
X2=6
Y2=10
m=(10-(-4))/(6-(-8))
m=(10+4)/(6+8)
m=14/14
m=1
Eq of the line formula :
Y-y1=m(x-x1)
Y-(-4)=1(x-(-8))
Y+4=x+8
Y=x+4
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.
n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.
n (n - 5) = 84
n^2 - 5n = 84
Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.
<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84
The answer is C = 12
