Answer: B
Step-by-step explanation: The number line has tally marks up to 3, so 3 has to be divided by something, meaning A and C do not work. There are 9 total tally marks circled, so the equation equals 9, leaving B as the only possible answer. Also, there are three tally marks per whole number, so each tally is 1/3, which is equal to 2/6, further proving it is B.
0 + (6/10) + (8/100) + (5/1000)
Answer:
v=12
Step-by-step explanation:
3v-8v+7v=24
3v-v=24
2v=24
v=12
Answer: 3 in.
Step-by-step explanation:
Given
The base of the triangle is ![3\frac{2}{5}\ inches](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B5%7D%5C%20inches)
The area of the triangle is ![5\frac{1}{10}\ inches^2](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B10%7D%5C%20inches%5E2)
Solve mixed fraction
Base is
![=3\dfrac{2}{5}\\\\=\dfrac{17}{5}\ in.](https://tex.z-dn.net/?f=%3D3%5Cdfrac%7B2%7D%7B5%7D%5C%5C%5C%5C%3D%5Cdfrac%7B17%7D%7B5%7D%5C%20in.)
Area is
![=5\dfrac{1}{10}\\\\=\dfrac{51}{10}\ in.^2](https://tex.z-dn.net/?f=%3D5%5Cdfrac%7B1%7D%7B10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B51%7D%7B10%7D%5C%20in.%5E2)
The area of the triangle is given by
![\Rightarrow \text{Area A=}\dfrac{1}{2}\times \text{base}\times \text{height}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BArea%20A%3D%7D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7Bbase%7D%5Ctimes%20%5Ctext%7Bheight%7D)
Insert the values to get the height
![\Rightarrow \dfrac{51}{10}=\dfrac{1}{2}\times \dfrac{17}{5}\times \text{height}\\\\\Rightarrow \text{height}=3\ in.](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B51%7D%7B10%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cdfrac%7B17%7D%7B5%7D%5Ctimes%20%5Ctext%7Bheight%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7Bheight%7D%3D3%5C%20in.)