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dmitriy555 [2]
3 years ago
11

Consider the pattern shown in the table below

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

there is not table

Step-by-step explanation:

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Solve for c. -3b+ac=c-4. Please show all work.
Luden [163]
-3b+ac=4
Move c to the left and - 3b to the right
ac-c=-4+3b
Now factor by c at the left
c(a-1)=-4+3b
Divide the right by a-1
C=(-4+3b)/(a-1)
6 0
3 years ago
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Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must
Readme [11.4K]

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways  = 120 \times 220 = 26,400 \ ways

Therefore, the number of ways is 26,400 ways

8 0
3 years ago
What is the equation of the line that passes through the point (−8,1) and has a slope of -3/4?
Marrrta [24]

Answer:

y-1=-3/4(x+8)

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept,

y-y1=m(x-x1)

y-1=-3/4(x-(-8))

y-1=-3/4(x+8)

6 0
3 years ago
Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha
faltersainse [42]

Answer:

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x  be the minutes used each month

So, if x\leq 200

So, coat will be $39

If x>200

So, Ben is charged $0.35 per minute

So, when x>200

So, charge = 39+(x-200)\times 0.35

So, the piecewise functions accurately represents charges based on Ben's cell phone :

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

4 0
3 years ago
Read 2 more answers
Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha
posledela

Answer:

1. D

2. B


Step-by-step explanation:

<u>Question 1:</u>

We can get Avon's earnings using the equation  W=HR+1.5VR+B+T

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)


<em>Substituting the given info into the equation, we get:</em>

<em>W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25</em>


<em>So avon's earnings are $341.25</em>

<em>Answer choice D is right.</em>


<u>Question 2:</u>

The other employee needs to work x hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

(15)(x)=428\\x=\frac{428}{15}\\x=28.53

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.


6 0
3 years ago
Read 2 more answers
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