<u>The possible answers are:
</u><u /><u /><u><em /></u>4.21
4.22
4.23
4.24
Explanation:
We want a number between 4 1/5 and 4.25. We will convert 4 1/5 to a decimal first:
Divide 1 by 5: 1/5 = 0.2.
This makes 4 1/5 = 4 + 1/5 = 4 + 0.2 = 4.2.
We want a number between 4.2, which can be written as 4.20, and 4.25. Any number between will do, so the possible answers would be
4.21, 4.22, 4.23, or 4.24.<u />
Answer:
<h2>4(5x + 6)</h2>
Step-by-step explanation:
![5(6x+4)-2(5x-2)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\=(5)(6x)+(5)(4)+(-2)(5x)+(-2)(-2)\\\\=30x+20-10x+4\qquad\text{combine like terms}\\\\=(30x-10x)+(20+4)\\\\=20x+24](https://tex.z-dn.net/?f=5%286x%2B4%29-2%285x-2%29%5Cqquad%5Ctext%7Buse%20distributive%20property%7D%5C%20a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C%3D%285%29%286x%29%2B%285%29%284%29%2B%28-2%29%285x%29%2B%28-2%29%28-2%29%5C%5C%5C%5C%3D30x%2B20-10x%2B4%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%2830x-10x%29%2B%2820%2B4%29%5C%5C%5C%5C%3D20x%2B24)
![20x=4\cdot5x\\\\24=4\cdot6\\\\20x+24=4(5x+6)](https://tex.z-dn.net/?f=20x%3D4%5Ccdot5x%5C%5C%5C%5C24%3D4%5Ccdot6%5C%5C%5C%5C20x%2B24%3D4%285x%2B6%29)
Answer:
12 months
Step-by-step explanation:
Given that:
Mario:
12 stamps per month
Since January
Karen :
18 stamps per month
Starts on july
Number of stamps collected by Mario till the end of June :
12 * 6 = 72 stamps
For Mario :
72 + 12x
For karen:
18x
Where x is the number of months after karen starts :
Equate both equations
72 + 12x = 18x
72 = 18x - 12x
72 = 6x
x = 72/6
x = 12
After 12 months
Number of months after karen starts, will they have same amount of stamp
We know that there are 16 girls. That is the first part of the ratio. Now, it says girls to students, which mean you have to add up the total of girls and boys together. 12+16=28. There are 28 students in total. Now, you have the ratio of 16:28. But, it says simplified...so we need to divide both sides of the ratio by a number. Let's choose 4 because 4 can go both into 16 and 28. 16/4=4. 28/4=7. So, the simplified ratio of girls to students in the classroom is 4:7.
Hope this helped!