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fredd [130]
2 years ago
10

1/2r + 2 (3/4r - 1) = 1/4r + 6​

Mathematics
2 answers:
gtnhenbr [62]2 years ago
7 0

Answer:

r=32/7

Step-by-step explanation:

bazaltina [42]2 years ago
4 0

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)

1/2r+3/2r+-2=1/4r+6

(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)

2r+-2=1/4r+6

2r-2=1/4r+6

Step 2: Subtract 1/4r from both sides.

2r-2-1/4r=14r+6-14r

7/4r-2=6

Step 3: Add 2 to both sides.

7/4r-2+2=6+2

7/4r=8

Step 4: Multiply both sides by 4/7.

(4/7)*(7/4r)=(4/7)*(8)

r=32/7

Answer: r=32/7

hope this helps :)

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9(2*2+4➗2)= can you show how to get the answer. Which is 54.
Katen [24]
Here I'll Simplify it to show the work.
You need PEMDAS

9(2*2+4÷2)
9(4+4÷2)
9(8÷2)
9(4)
9(4) = 9 × 4 = 36

The Answer is 36.
6 0
3 years ago
Read 2 more answers
What is k+3 3/4 = 5 2/3 - 1 1/3
zhenek [66]
K+3 3/4=5 2/3-1 1/3
k+3 3/4=4 1/3
lets find the lcm first then multiply both sides by it but first change it to improper fraction
LCM is  12

[k+15/4]=[13/3]12
12k+45=52
12k=7
k=7/12
4 0
2 years ago
Stefan sells Jin a bicycle for $138 and a helmet for $18. The total cost for Jin is 130% of what
lys-0071 [83]

Answer:

1. $109.20 2. $46.80

Step-by-step explanation:

Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.

Good luck! Hope this helps!

5 0
2 years ago
A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome
Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), <em>p</em> = 0.52

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.

(1)

Compute the probability of overbooking  as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

                                        =P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

=P(X

Thus, the probability that the flight has empty seats is 0.4625.

4 0
3 years ago
Joy Co. allocates overhead expenses to all departments on the basis of floor space (sq. ft.) occupied by each department. This y
salantis [7]
The ratio between the departments is

A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3

The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14

The budget for department B is \frac{22000}{14}*6=9428.571428
Rounded to the nearest dollar, the budget is $9429
7 0
3 years ago
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