Answer:
there is no solution
Step-by-step explanation:
Expand.
15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45
2 Simplify 15x+35+2x15x+35+2x to 17x+3517x+35.
17x+35=7x+10x-4517x+35=7x+10x−45
3 Simplify 7x+10x-457x+10x−45 to 17x-4517x−45.
17x+35=17x-4517x+35=17x−45
4 Cancel 17x17x on both sides.
35=-4535=−45
5 Since 35=-4535=−45 is false, there is no solution.
No Solution
Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3
Answer:
y²/25+x²/4=1
Step-by-step explanation:
The equation for an ellipse is either categorized as
x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)
In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.
Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1
Our answer is therefore the fourth option, or
y²/25+x²/4=1
Answer:
Discount = $290.76 × 0.2 = $58.15
Cost After Discount = $290.76 - $58.15 = $232.61
Sales Tax = 0.0625 × $232.61 = $14.56
How Much You Pay = $232.61 + $14.56 = $247.17
Step-by-step explanation:
Discount:
290.76 × 0.2* = 58.152
Round that to 58.15
* Turn 20% into a decimal (0.2)
Cost after Discount:
290.76 - 58.15 = 232.61
Sales Tax:
First turn 6.25 % into a decimal. Which would be 0.0625.
0.0625 × 232.61* = 14.556875
Then we round to the nearest hundredth and you get 14.56.
* We us the amount after the discount instead of the original price.
How much you pay:
232.61 + 14.56 = 247.17