Let's Just See How Many Times 30 Goes Into 180
![\frac{180}{30} = 6](https://tex.z-dn.net/?f=%20%5Cfrac%7B180%7D%7B30%7D%20%20%3D%206)
Since 8 trash bags last 30 days, let's multiply
![6 \times 8 = 48 \: bags](https://tex.z-dn.net/?f=6%20%5Ctimes%208%20%3D%2048%20%5C%3A%20bags)
ANSWER
You'll Need 48 Trash Bags For 180 Days
The present age of mother and her daughter respectively are; 40 and 10 years respectively.
<h3>How to Solve Algebra Word Problems?</h3>
Let x and y be the present age of mother and her daughter respectively.
Therefore;
x + y = 50
x = 50 − y .....(1)
After 20 years, mother's age will be twice her daughter's age at the time. Thus;
x + 20 = 2(y + 20)
x − 2y = 20 .....(2)
Plugging eq 1 into eq 2 gives us;
50 − y − 2y = 20
3y = 30
y = 10
Thus;
x = 50 − 10
x = 40
Thus, the present age of mother and her daughter is 40 and 10 years respectively.
Translation of the question into English is;
The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.
Read more about Algebra Word Problems at; brainly.com/question/21405634
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9514 1404 393
Answer:
90 miles
Step-by-step explanation:
Let d represent the distance to Grandma's house.
The speed going was ...
speed = distance/time
speed = d/2
The speed coming home was ...
speed = d/2.25
The difference of these speeds is 5 miles per hour:
d/2 -d/2.25 = 5
2.25d -2d = 5(4.50) . . . . . multiply by 4.50
0.25d = 22.5 . . . . . . . . . . .simplify
d = 90 . . . . . . . . . . . . . . . . multiply by 4
Grandma's house is 90 miles away.
Answer:
We conclude that the simplified expression is:
![0.10\left(7l\:+\:2s\right)=0.7l+0.2s](https://tex.z-dn.net/?f=0.10%5Cleft%287l%5C%3A%2B%5C%3A2s%5Cright%29%3D0.7l%2B0.2s)
Step-by-step explanation:
Given the expression
![0.10\left(7l\:+\:2s\right)](https://tex.z-dn.net/?f=0.10%5Cleft%287l%5C%3A%2B%5C%3A2s%5Cright%29)
Apply the distributive law: a(b+c) = ab+ac
a = 0.1, b = 7l, c = 2s
![0.10\left(7l\:+\:2s\right)=0.1\cdot \:7l+0.1\cdot \:2s](https://tex.z-dn.net/?f=0.10%5Cleft%287l%5C%3A%2B%5C%3A2s%5Cright%29%3D0.1%5Ccdot%20%5C%3A7l%2B0.1%5Ccdot%20%5C%3A2s)
![=7\cdot \:0.1l+2\cdot \:0.1s](https://tex.z-dn.net/?f=%3D7%5Ccdot%20%5C%3A0.1l%2B2%5Ccdot%20%5C%3A0.1s)
![=0.7l+0.2s](https://tex.z-dn.net/?f=%3D0.7l%2B0.2s)
Therefore, we conclude that the simplified expression is:
![0.10\left(7l\:+\:2s\right)=0.7l+0.2s](https://tex.z-dn.net/?f=0.10%5Cleft%287l%5C%3A%2B%5C%3A2s%5Cright%29%3D0.7l%2B0.2s)
Answer:
It's D: 3x - 12 ≤ 8x + 13
Step-by-step explanation:
<u>The first step in this inequality is to take out the parentheses so you multiply 3 by x and -4.</u>