Answer:
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Step-by-step explanation:
Answer:
x is less than or equal to negative 14.
Step-by-step explanation:
so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side
remove 5 from each side
-x/3=1/3-5
-x/3=14/3
multiply both sides by 3
-x=14
x=-14
so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14
Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
Answer:
Can't tell if it went through...
1. Shop A = 2x
2. Shop B = 2x - 580
3. Total = Shop A + Shop B
1949 = 2x + 2x - 580
4. Combine like terms
2x + 2x = 4x
1949 = 4x - 580
5. Add 580 to both sides (to remove -580 from right side)
1949 + 580 = 4x - 580 + 580
2529 = 4x
6. Divide both sides by 4 (to get x)
2529 / 4 = 4x / 4
632.25 = x
7. Shop A = 2x
2 * 632.25 = 1264.50
Shop A = 1264.50
8. Shop B = 2x - 580
2 * 632.25 - 580 = 684.50
Shop B = 684.50
Check: Shop A + Shop B = 1949
1264.50 + 684.50 = 1949
Shop A = 1264.50
Shop B = 684.50
Step-by-step explanation:
Complete question:
Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal
Answer: 3/4 hours
Step-by-step explanation:
Target hours = 4 1/2 hours = 9/2 hours
Number of hours so far :
(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours
Total so far :
L. C. M of denominator = 4
(6 + 5 + 4) /4 = 15/4
Number of hours left to meet his target equals :
Target hours - total so far
( 9/2 - 15/4)
L. C. M of denominator = 4
(18 - 15) / 4 = 3/4 hours
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