Answer:
- 124+73
- 73 miles
- 28% decrease
Step-by-step explanation:
1. Subtracting a number is the same as adding its opposite. The opposite of -73 is 73, so subtracting -73 is the same as adding 73:
... 124 -(-73) = 124 +73
2. Lamar drove 48+55 = 103 miles, but that is not what the question asks. Rather, it asks the straight-line distance from where he is to where he started. That distance (d) is the length of the hypotenuse of the right triangle that has 48 mile and 55 mile legs. The Pythagorean theorem is used to calculate the straight-line distance in such cases.
... d² = 48² + 55²
... d² = 2304 + 3025 = 5329
... d = √5329 = 73 . . . . miles
3. The percentage change between two numbers is calculated from ...
... percent change = ((new value) - (old value))/(old value) × 100%
Putting in your numbers, you have ...
... percent change = (120.96 -168)/168 × 100% = -47.04/168 × 100%
... = -0.28 × 100% = -28%
The minus sign indicates the change is a <em>decrease</em> of 28%.
Answer:
help me first,
Step-by-step explanation:
Focus on the bottom side of the triangle. The first one has a length of 6mm while the second one had a length of 18mm. What is the scale between these 2? 6 times 3 equals 18 so the scale factor is 3 from triangle A (first one) to triangle B (secone one). Now look at the sdie length of both triangles. These would have the same scale factor so muktipky 8 by 3 to get X, which would be 24. To find Y, you need to think what number do you multiply by 3 to get 30. That is the same thing as 30/3 which is 10. Your final answer is X=24 and Y=10.
the formula of the volume of pyramid = 1/3*h*base
the volume of prism= base*h
we know that the height of the pyramid is three times more than the height of prism so that if the height of the prism is a - the volume of a prism is a*base
the height of the prism is 3a so that the volume of the pyramid is 1/3*3a*base=a*base
the Answer of the ratio is 1/1
I hope that helps, and I hope that makes sense
Answer:
Step-by-step explanation:
Creating identical expressions involves changing quantities in a way that preserves the end values specified in the equation.
For instance, if Lei sold 4 carnations:
In the second equation listed, the expression (8 + 0.25c) was multiplied by 4, then by 0.25, for a total multiplicand of 1.
You can make a third equation through the same method. I'll multiply (8 + 0.25c) by 2, and then multiply that expression by 0.5 to keep the multiplicand unchanged:
If Lei sold 4 carnations:
0.5 * (16 + 2) = 9
This equation represents the same quantities as the other equations.