Answer:
33
Step-by-step explanation:
put 4 in for x and then solve
5+7(4)
5+28
33
Answer:
His savings were of $4,200.
Step-by-step explanation:
Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:
This means that the son and daughter amount is:
![\frac{5}{14} + \frac{2}{3}(\frac{9}{14})](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B14%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28%5Cfrac%7B9%7D%7B14%7D%29)
As
is the remained that his son did not get. So
![\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B14%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28%5Cfrac%7B9%7D%7B14%7D%29%20%3D%20%5Cfrac%7B15%7D%7B42%7D%20%2B%20%5Cfrac%7B18%7D%7B42%7D%20%3D%20%5Cfrac%7B33%7D%7B42%7D)
Fraction his wife got:
![1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B33%7D%7B42%7D%20%3D%20%5Cfrac%7B42%7D%7B42%7D%20-%20%5Cfrac%7B33%7D%7B42%7D%20%3D%20%5Cfrac%7B9%7D%7B42%7D)
If his wife got $900, what were his savings?
Total savings are x, wife got
of x. So
![\frac{9x}{42} = 900](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B42%7D%20%3D%20900)
![9x = 900*42](https://tex.z-dn.net/?f=9x%20%3D%20900%2A42)
![x = \frac{900*42}{9}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B900%2A42%7D%7B9%7D)
![x = 100*42](https://tex.z-dn.net/?f=x%20%3D%20100%2A42)
![x = 4200](https://tex.z-dn.net/?f=x%20%3D%204200)
His savings were of $4,200.
2+2= 4
Easy Peary leman squeaky
Good
Answer:
JML=142 degrees
Step-by-step explanation:
This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.
So volue of a cone=area of circle base times heigt times 1/3
height=4
area of base=pi times r^2
area of abse=aprox 3.14 times 3.2^2=32.1536
32.1536 times 4 times 1/3=32.1536 times 4/3=42.87 the amount of sand is 42.9 ft^3