Answer:
C. -3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
We know that line <em>m </em>is perpendicular to line <em>l. </em>
Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.
Negative: switch the sign
2/3 --> -2/3
Reciprocal: switch the numerator (top number) and denominator (bottom number)
-2/3 --> -3/2
Line <em>m</em> has a slope of -3/2 and C is correct.
Answer:
D)
Step-by-step explanation:
7x + 4 = 3x + 68
7x - 3x = 68 - 4
4x = 64
x = 64/4
x = 16
I Hope I've helped you.
Answer:
60
Step-by-step explanation:
let a = 22 / kg, and b = 12 / kg
a + b = 20 kg
22a + 12b = 15 * 20
12a + 12b = 240
10a = 60
Answer:
Distance cover by Frank and family each day = 300 miles per day
Step-by-step explanation:
Given:
Total distance cover by Frank and family = 3,000 miles
Number of days = 10
Find:
Distance cover by Frank and family each day
Computation:
Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days
Distance cover by Frank and family each day = 3,000 / 10
Distance cover by Frank and family each day = 300 miles per day
Answer:
35 quarters
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
is an equation representing the total number of coins
is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get 
. We now substitute this for d in the second equation.
After simplifying, we subtract 6 across and divide by the coefficient of q.
We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.
