Answer:
-28
Step-by-step explanation:
It is -28 because you have two numbers with a (-) sign. Therefore you add the both of them together instead of subtracting.
19+9=28 then add the negative sign. -28
Thread left on the spool in meters is 6.3152 meter (Approx.)
<u>Given that;</u>
Total spool = 8 yards
Allison used = 1 meter of spool
Find:
Thread left on the spool in meters
Computation:
Total spool = 8 yards
Total spool in meter = 8 × 0.9144
Total spool in meter = 7.3152 meter (Approx.)
Thread left on the spool in meters = Total spool in meter - Allison used
Thread left on the spool in meters = 7.3152 - 1
Thread left on the spool in meters = 6.3152 meter (Approx.)
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Answer:
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Step-by-step explanation:
Given equations of lines are:
Line p: x+2y=1
Line q: y=2x+1
We can determine if two lines are parallel or perpendicular by comparing the slopes of line.
Slope intercept form of line is given by the formula

Equation of line q is already in slope intercept form.
We have to convert the equation of line p in slope-intercept form

Slope of line p = 2
Slope of line q = -1/2
We can see that

The product of slopes of both lines is -1, hence, the lines are perpendicular.
Hence,
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Answer: 80
Step-by-step explanation:
Let the number of girls be x
Therefore, the number of boys will be: = x + 60
The ratio of boys to girls is 5:1. Using this and equating to the number of bits and girls will be:
5/1 = x + 60/ x
Cross multiply
5x = x + 60
5x - x = 60
4x = 60
x = 60/4
x = 15
Number of girls = 15
Therefore boys will be: = x + 60 = 15 + 60 = 75.
Total number of people = 15 + 75 = 80