Answer:
The width is ![6x^2](https://tex.z-dn.net/?f=6x%5E2)
Step-by-step explanation:
The area of a rectangle is given as : ![Area=l\times w](https://tex.z-dn.net/?f=Area%3Dl%5Ctimes%20w)
This implies that: ![w=\frac{Area}{l}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7BArea%7D%7Bl%7D)
We have that the length is
and the area is ![Area=24x^4+72x^3](https://tex.z-dn.net/?f=Area%3D24x%5E4%2B72x%5E3)
We substitute to get:
![w=\frac{24x^4+72x^3}{4x^2+12x}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B24x%5E4%2B72x%5E3%7D%7B4x%5E2%2B12x%7D)
![\implies w=\frac{24x^2(x^2+3x)}{4(x^2+3x)}](https://tex.z-dn.net/?f=%5Cimplies%20w%3D%5Cfrac%7B24x%5E2%28x%5E2%2B3x%29%7D%7B4%28x%5E2%2B3x%29%7D)
We cancel out the common factors to get:
![w=6x^2](https://tex.z-dn.net/?f=w%3D6x%5E2)
Angles in a triangle add up to 180°
since the other two are 21 and 104, you add them together = 21 + 104 = 125
to make it 180, you take 125 away from 180 = 180 - 125 = 55<span>°
</span>so angle F = 55°
1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6
2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5
3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.
When working with problems like these, you need to isolate the variable on one side and get it by itself.
Answer:
cups of sugar.
Step-by-step explanation:
We have been given that Sabrina is baking cookies the recipe calls for 3/4 of a cup of sugar. Sabrina needs to double the recipe because she has a large cookie loving family.
To find the amount of sugar needed for recipe, we need to multiply 3/4 by 2 as:
![\text{Sugar needed for double recipe}=2\times \frac{3}{4}](https://tex.z-dn.net/?f=%5Ctext%7BSugar%20needed%20for%20double%20recipe%7D%3D2%5Ctimes%20%5Cfrac%7B3%7D%7B4%7D)
![\text{Sugar needed for double recipe}=1\times \frac{3}{2}](https://tex.z-dn.net/?f=%5Ctext%7BSugar%20needed%20for%20double%20recipe%7D%3D1%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D)
![\text{Sugar needed for double recipe}=\frac{3}{2}](https://tex.z-dn.net/?f=%5Ctext%7BSugar%20needed%20for%20double%20recipe%7D%3D%5Cfrac%7B3%7D%7B2%7D)
![\text{Sugar needed for double recipe}=1\frac{1}{2}](https://tex.z-dn.net/?f=%5Ctext%7BSugar%20needed%20for%20double%20recipe%7D%3D1%5Cfrac%7B1%7D%7B2%7D)
Therefore, Sabrina needs
cups of sugar.