Answer:
73 dimes and 133 nickels
Step-by-step explanation:
$13.95 = 1395 cents
5n + 10d = 1395 (since each nickel is 5 cents and each dime is 10 cents)
5n = 1395 - 10d (subtract 10d from both sides to solve for n)
n = 279 - 2d
n + d = 206
279 - 2d + d = 206 (substitute n with the previous expression)
279 - d = 206 (add variable d and -2d)
-d = -73 (solve for d and divide both sides by negative 1)
d = 73
n + 73 = 206 (solve for n and subtract both sides by 73)
n = 133
Answer:
32 3/4 lb
Step-by-step explanation:
32 lb 12 oz = ? lb
Rewrite 12 oz as (12/16) lb.
Then:
32 lb 12 oz = 32 lb + (3/4) lb, or 32 3/4 lb
24x⁶ - 1029y³ =
3(8x⁶ - 343y³) =
3((2x²)³ - (7y)³) =
3(2x²-7y)(4x⁴ + 14x²y + 49y²)
Answer is <span>D) All of the above.</span>
Answer:
Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.
Angle 1=Angle 3
4x+30=2x+48
2x+30=48
2x=18
x=9
Angle 1=4(9)+30
Angle 1=36+30
Angle 1=66
Angle 1=Angle 3
Angle 1+ Angle 3=132
360-132=228
228/2=114
Angle 2= 114
