Answer:
1. Distributive Property
2. Addition Property of Equality
3. Multiplicative Property of Equality
Step-by-step explanation:
1. The 3 is multiplied by each number in the parenthesis
3*10=30
3*2=6
So 3*(10-2x)=30-6x
2. The 30 is subtracted from both sides
30-6x-30 = -6x
6-30 = -24
30-6x-30=6-30
So -6x=-24
3. The -6 is divided from both sides
-6x/-6 = x
-24/-6 = 4
-6x/-6 = -24/-6
So x=4
Answer:
0.75
Step-by-step explanation:
if you divide 100 by 4 you get 25 so 25 is 1/4 so 25 times 3 gets 0.75 out of 100
Answer:it will take the two plants 6 weeks before the heights are the same
Step-by-step explanation:
Jill planted two flowers in her garden.
The first flower is 2 inches tall, and it is growing 2.25 inches each week. Since the growth rate is in an arithmetic progression, we will apply the formula for finding the nth term of the series
Tn = a + (n - 1)d
Tn = the nth height of the first flower
a = the initial height of the first flower
d = the common difference in height of the first flower weekly
n = number of weeks
From the information given,
For the first flower,
a = 2
d = 2.25
Tn ?
n ?
Tn = 2 + (n - 1)2.25
For the second flower,
a = 5.75
d = 1.5
Tn ?
n ?
Tn = 5.75 + (n - 1)1.5
To determine the number of weeks that it will take until the two plants are the same height, we would equate Tn for both flowers. It becomes
2 + (n - 1)2.25 = 5.75 + (n - 1)1.5
2 + 2.25n - 2.25 = 5.75 + 1.5n - 1.5
Collecting like terms
2.25n - 1.5n = 5.75 - 1.5 - 2 + 2.25
0.75n = 4.5
n = 4.5/0.75
n = 6 weeks
Answer:
5
Step-by-step explanation:
Answer: Question not very clear
Step-by-step explanation:
I will like to see the original question, then I will attempt to help you. Surely.
