Answer:
32
Step-by-step explanation:
I did the mathmathics
In the step after -6x+10=4x+20, he moved the terms incorrectly. you have to add 6x to both sides so it would be 10=4x+6x+20 which simplifies to 10=10x+20. subtract 20 from both sides to get -10=10x. divide both sides by 10. the answer is x=-1
Answer:
The range of the oven is
Step-by-step explanation:
Consider the provided information.
The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.
You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.
The internal temperature falls to 20 degrees, therefore the lowest set can be:
405-20=385 degree.
The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.
Hence, the temperature will be lying between 385 degree and 410 degree.
This can be written as:
Hence, the range of the oven is
9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
<em>Additional comment</em>
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
To factor a number out of an expression means to divide each term of the expression by that number.
So, if you want to factor from the expression , you'll write it as
So, in your case, when you divide both terms by -5 you get
So, the expression becomes