Answer:
67
Step-by-step explanation:
You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.
Yes it is true because if 3x +15=2x+60 it is true
Answer: the final mass of the solid is 176 grams.
Step-by-step explanation:
The "change" between two quantities, one initial Qi and one final Qf is defined as:
Change = Qf - Qi.
In this case, the quantity is mass, and we know that the initial mass is 260 grams.
And we also know that the change is -84 grams.
Then we have the equation:
Qf - 260 g = -84g
Qf = -84g + 260g = 176g
So the final mass of the solid is 176 grams.
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
To convert yards to feet, you would multiply it by 3. So, since there the pipe is 2 yards long, you could multiply 2*3 to get 6 feet. Then you can convert feet to inches by multiplying it by 12. 6*12 is equal to 72, so 2 yards is equal to 72 inches. Lastly, you can subtract 18 from 72, to get 54, and 54 inches would be your final answer.
