The larger number is 576, the smaller number is 170.
Let x = the larger number and y = the smaller number.
We know that the larger number is 406 larger than the smaller one; therefore
x = y + 406
We also know

Substituting for x we have:

When we convert mixed numbers to improper fractions, we multiply the whole number by the denominator and add the numerator:

Since the denominators are the same, we can just set the numerators equal
y+406=3y+66
We cannot have a variable on both sides, so we will subtract y from both sides:
y+406-y=3y+66-y
406=2y+66
Subtract 66 from both sides:
406-66=2y+66-66
340=2y
Divide both sides by 2:
340/2 = 2y/2
170=y
The smaller number is 170. Since the larger number is 406 larger, then it is 170+406=576.
Answer:
74.47%
Step-by-step explanation:
Divide the total number of students by the number who passed
passed/total
35/47
0.74468085
As a percent:
0.74468085*100=74.4680851
Rounded to the nearest hundreth:
74.4680851
74.47%
So, 74.47% passed the geometry test
Hope this helps! :)
Answer:
14 units²
Step-by-step explanation:
The area of the shape = area of a triangle
Area of triangle = ½ × base × height
base = 7
height = 4
Plug in the value into the formula:
Area = ½ × 7 × 4
Area = ½ × 28
Area = 14 units²
1. If y<span>ou have jogged 5 miles from the park at a rate of r miles per hour, then the time you need to do this is

hours (

, where S is distance, v-speed and t-time).
</span>
2. W<span>hen you run back to the park, your average speed increases by 1 mph and become r+1 mph.
</span>
3. I<span>t takes

hours to jog 5 miles back to the park</span>
4. T<span>he total jogging time T is

hours.</span>
<span />
5. If you jogged away from the park at an average speed of 4 miles per hour, then r+1=4 and r=3. The expression

will take look
<span>

hours.</span>