Answer:
x=3+3/4
Step-by-step explanation:
1+4x/6=3.5
We move all terms to the left:
1+4x/6-(3.5)=0
We add all the numbers together, and all the variables
4x/6-2.5=0
We multiply all the terms by the denominator
4x-(2.5)*6=0
We add all the numbers together, and all the variables
4x-15=0
We move all terms containing x to the left, all other terms to the right
4x=15
x=15/4
x=3+3/4
2(4x-3) ≥ - 3(3x) + 5x
2* 4x - 2*3 ≥ - 9x + 5x
8 x - 6 ≥ -4x
8 x + 4 x ≥ 6
12 x ≥ 6
x = 6/12 divide 6/6 = 1 and 12 / 6 = 2
x = 1/2
hope this helps!
Answer:
a. $45 an hour
b. 5.25 hours
Step-by-step explanation:
a. The plumber charges $75 per job, so it is irrelevant to the number of hours they work. 45(h) is $45 multiplied by the number of hours they work.
b.
First, plug the numbers into the equation, the cost being C(h):
311.25 = 45(h) + 75
Next, subtract $75 as it is a set price that is always payed:
236.25 = 45(h)
Then, divide both sides by 45 to find how many hours were worked:
h = 5.25
Hours = $5.25
All will apply except for (A, C, and E) because those lengths are less than 4/6. So (B, D and F) are the correct answers.
Answer:
12.7 cm
Step-by-step explanation:
ABC
12² = 6² + BC²
12² - 6² = BC²
144 - 36 = 108
CB² = 108
√108 = 10.392
CB = 10.392
CBD
Sin (55°) = CB / CD
0.81915 = √108 / CD
CD = 10.392 / 0.81915
CD = 12.686
CD = 12.7cm
