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LekaFEV [45]
3 years ago
6

PLEASE HELP!!! A plumber charges $14 per hour and a $20 flat fee for service. If Ashley's total comes to $111, how many hours di

d the plumber work? Write an equation to show how you would solve.
Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0

Answer:

The plumber worked for 6.5 hours.

Step-by-step explanation:

$111 - $20 = 91

91 / 14 = 6.5

Alchen [17]3 years ago
5 0

Answer:

6.5 hours

Step-by-step explanation:

111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!

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Solve the equation for x 2x+34=4(x+5)​
pochemuha

Answer:

7

Step-by-step explanation:

2x+34=4(x+5)

2x+34=4x+20

-2x=-14

x=7

8 0
3 years ago
The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

7 0
3 years ago
Read 2 more answers
What is the value of x + 186 when x = -21
fredd [130]

Answer:

165

Step-by-step explanation:

-21+186=165 .....

7 0
4 years ago
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You give a delivery driver 15. 50for a pizza that cost 12.50 you tell the driver to keep the change as a tip is the tip more tha
DiKsa [7]
Tips = 15.50 - 12.50 = 3.00

Covert the tips to percentage
3 ÷ 12.50 x100% = 24%

It is more than 20%
3 0
3 years ago
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If your starting salary were $40,000 and you received a 3% increase at the end of every year for 15 years, what would be the tot
Dmitry [639]

T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15


Multiply the above equation by 1.03 giving


1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16


Now subtract the first equation from the second to give


0.03T = 40000(1.03)^16 - 40000


0.03T = 40000(1.03^16 - 1)


0.03T = 24188.26


T = 24188.26 / 0.03 = $806275.25


6 0
4 years ago
Read 2 more answers
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