Answer: (1.) 1/3
(2.)2/3
(3.) 2:1
(4.) 1/2
Step-by-step explanation:
(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3
(2.) 24 div. problems and 36 totals so 24/36 =2/3
(3.) 24 div and 12 mult =24/12 or 2/1
(4.) 12 mult and 24div =12/24=1/2
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
First you need to set up your decimal as a fraction
45 9
---- divided by 5 ------
100 20
9/20 is your answer
You need to multiply the two numbers. Or you can use long addition.
