Answer:
He has 30 penguins and 10 cats.
Step-by-step explanation:
Let's define the variables:
C = number of cats.
P = number of penguins.
We know that he has a total of 40 pets, then:
C + P = 40
We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)
Then we have the equation:
40 + 2*P = 4*C + 2*P
Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:
(40 + 2*P) - 2*P = 4*C + 2*P - 2*P
40 = 4*C
Now with this, we can find the value of C.
40/4 = C = 10
Then he has 10 cats.
Now we can replace this in the equation:
P + C = 40
to find the value of P
P + 10 = 40
P = 40 - 10 = 30
P = 30
He has 30 penguins.
Answer: 31500 to 38500
Step-by-step explanation:
Lets find lower limit of guess
35000 - ( 35000 * 10% )
= 31500
Upper limit of guess
35000 + ( 35000 * 10% )
= 38500
So your guess can be anything between these two values.
-4× = 16 answer: -4
Step-by-step explanation:
-4 × -4 = 16
Answer: For a translation, you need a distance and a direction.
For a rotation, you need a point that is the center of the rotation and the degree (and sometimes direction) of rotation.
For reflection you need the axis or a defined line that the triangle is reflected across.
Step-by-step explanation:
After two years with the interest compounded annually the amount would be $1,060.90.
After two years with the interest compounded monthly the amount would be $1,061.76.
After two years with the interest compounded quarterly the amount would be $1,061.60.
After two years with the interest compounded semiannually the amount would be $1,061.36.
