Answer:
c = -1
Step-by-step explanation:
3(c+5)=12
3 × c = 3c
3 × 5 = 15
3c + 15 = 12
<u> - 15 -15</u>
3c = -3
c = -3 ÷ 3 = -1
Check:
3(-1+5)=12
-3 + 15 = 12
Step-by-step explanation:
Conversion a mixed number 5 3/2
to an improper fraction: 5 3/2 = 5 3/2
= 5 · 2 + 3/2
= 10 + 3/2
= 13/2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/2
= 10/2
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Five and three halfs is thirteen halfs
Conversion a mixed number 3 6/7
to an improper fraction: 3 6/7 = 3 6/7
improper fraction: 3 6/7 = 3 6/7
3 · 7 + 6/7 = 21 + 6/7 =27/7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7
= 21/7
b) Add the answer from previous step 21 to the numerator 6. New numerator is 21 + 6 = 27
c) Write a previous answer (new numerator 27) over the denominator 7.
Three and six sevenths is twenty-seven sevenths
Multiple:
13/2 * 27/7 = 13/2 · 27/7 = 351/14
Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
12=2+c
c=$10
Carey earns $10 hourly
12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
