Answer:
<em>The percent error of the cyclist's estimate is 5.63%</em>
Step-by-step explanation:
<u>Percentages</u>
The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.
The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:
Error = 80 miles - 75.5 miles = 4.5 miles
To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:
Error% = 4.5 / 80 * 100 = 5.625%
Rounding to the nearest hundredth:
The percent error of the cyclist's estimate is 5.63%
243 liters represents 7/10 - 1/4 of the water.
v=243 / (7/10 - 1/4) = 243 / (14/20-5/20) = 243(20)/9 = 540 liters.
Answer: 540 liters
Check:
(7/10)(540) = 7(54) = 378
(1/4)540 = 135
difference = 378 - 135 = 243 good
Answer:
Pretty sure its 7.5 units²
Step-by-step explanation:
5·3=15÷2=7.5
Doing area with triangles is kind of the same as rectangle, just do base × height. But then divide it by two.
For example: base=3, height=7. With rectangles it would be 21 units².
But with triangles it would be 3·7=21 divided by 2, it would be 10.5 units²
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
