Answer:
<span>=1<span> 3/4</span></span>Solution 1 by separating partsRewriting our equation with parts separated<span>=8+<span>1/4</span>−6−<span>1/2</span></span>Solving the whole number parts<span>8−6=2</span>Solving the fraction parts<span><span>1/4</span>−<span>1/2</span>=?</span>Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
<span><span>1/4</span>−<span>2/4</span>=−<span>1/4</span></span>Combining the whole and fraction parts<span>2−<span>1/4</span>=1<span> 3/4</span></span>Solution by Formulas converting mixed numbers to fractions, our initial equation becomes,<span><span>33/4</span>−<span>13/2
</span></span>Applying the fractions formula for subtraction,<span>=<span><span>(33×2)−(13×4)</span><span>/4×2</span></span></span><span>=<span><span>66−52</span>/8</span></span><span>=<span>14/8</span></span>Simplifying 14/8, the answer is<span>=1 <span>3<span>/4</span></span></span>
It should be 70 because 60% plus 10% equals 70
Answer:
Length 1 1/4 = 10 /8 = 10 cubes L
width = 5/8 = 5 cubes W
Height = 3/4 = 6/8 = 6 cubes H
10 x 5 x 6 = 300 little cubes
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
![2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2](https://tex.z-dn.net/?f=2%5Cleft%28P%5C%3A%2B1%5Cright%29%5C%3A%2B%5C%3A3%5Cleft%28P%5C%3A%2B%5C%3A2%5C%3A%5Cright%29%5C%3A%3E%5C%3A2)
solving the expression
![2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2](https://tex.z-dn.net/?f=2%5Cleft%28P%5C%3A%2B1%5Cright%29%5C%3A%2B%5C%3A3%5Cleft%28P%5C%3A%2B%5C%3A2%5C%3A%5Cright%29%5C%3A%3E%5C%3A2)
as
so the expression becomes
![5P+8>2](https://tex.z-dn.net/?f=5P%2B8%3E2)
subtracting 8 from both sides
![5P+8-8>2-8](https://tex.z-dn.net/?f=5P%2B8-8%3E2-8)
![5P>-6](https://tex.z-dn.net/?f=5P%3E-6)
Dividing both sides by 5
![\frac{5P}{5}>\frac{-6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5P%7D%7B5%7D%3E%5Cfrac%7B-6%7D%7B5%7D)
![P>-\frac{6}{5}](https://tex.z-dn.net/?f=P%3E-%5Cfrac%7B6%7D%7B5%7D)
Therefore,
![2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=2%5Cleft%28P%2B1%5Cright%29%2B3%5Cleft%28P%2B2%5Cright%29%3E2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3AP%3E-%5Cfrac%7B6%7D%7B5%7D%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3AP%3E-1.2%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cfrac%7B6%7D%7B5%7D%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
The graph is also attached below.