Answer:
a). true
b). true
Step-by-step explanation:
a).
Given : If a = 5, then ac = 5c
Let c be any constant.
a = 5 (given)
Therefore, ac = 5c
Here a is given a constant value (5), also let assume c to be a constant. So when we multiply each term we will get a constant value of 5c. The ratio does not change.
Hence proved.
b).
Given : If ac = 5c, then a = 5
Let c be any constant
It is given, a = 5
Therefore, ac = 5c
Here the product of two terms is given as 5c, where c is assume to be a constant. Then as a product rule, the value of a will be 5. The ratio will not change.
Hence proved.
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer:
22.
23.
Step-by-step explanation:
To change the equation to polar form replace x with 
and y with 
Answer:
1.y = -5/3 = -1.667
2. y = -3/2 = -1.500
Step-by-step explanation:
90 + -1 = -91
-45 + -2 = -47
-30 + -3 = -33
-18 + -5 = -23
-15 + -6 = -21
-10 + -9 = -19
-9 + -10 = -19
-6 + -15 = -21
-5 + -18 = -23
-3 + -30 = -33
-2 + -45 = -47
-1 + -90 = -91
1 + 90 = 91
2 + 45 = 47
3 + 30 = 33
5 + 18 = 23
6 + 15 = 21
9 + 10 = 19
