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topjm [15]
2 years ago
9

Detailed answers appreciated: (7a -4) (2a -5)

Mathematics
2 answers:
igor_vitrenko [27]2 years ago
5 0
Expand the expression?

Perform indicated multiplication:

7a(2a)+7a(-5)-4(2a)-4(-5)

14a^2-35a-8a+20  combine like terms, ie (-35a-8a)=-43a

14a^2-43a+20
lana66690 [7]2 years ago
5 0
1. Us the FOIL method: (a + b)(c + d) = ac + ad + bc + bd:
14a^2 - 35a - 8a + 20
2. Collect like terms:
14a^2 + (-35a - 8a) + 20
3. Simplify:
14a^2 - 43a + 20
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Paul's family drove 377 mi to the beach averaging 58 ​ mi/h ​ on the way there. On the return trip home, they averaged 65 ​ mi/h
sashaice [31]
The answer is 12.3 hours
6 0
3 years ago
Remainder of 42325/47=
m_a_m_a [10]
The answer is 900 r25
7 0
3 years ago
1. The probability of telesales representative making a sale on a customer call is 0.15.
Mumz [18]

Answer:

1c

 n = 33

1d

 n = 19

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  p = 0.15

     The mean is  \mu  =  5

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \mu =  n*  p

=>  5= n *  0.15

=>  n = 33

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      P( X \ge 1) = 1 - P( X < 1 ) > 0.95

=>    P( X \ge 1) = 1 - P( X =0 ) > 0.95

=>    P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95

=>    1 - [1  *  1*  (0.85)^{n}] > 0.95

=>    [(0.85)^{n}] > 0.05

taking natural  log of both sides

n = \frac{ln(0.05)}{ln(0.85)}

=>  n = 19

3 0
2 years ago
6(x-8)+10=5x-6<br> This question has how many solutions
alina1380 [7]

Answer:

x=32 so one solution only

Step-by-step explanation:

6(x-8)+10=5x-6

6x-48+10=5x-6

6x-38=5x-6

x-38=-6

x=32

Therefore, the equation only has one solution which is x=32

4 0
2 years ago
Read 2 more answers
10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of
svet-max [94.6K]

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

Ratio = \frac{Minutes}{Mile}

When minutes = 16; mile = 4

So, we have:

Ratio = \frac{16}{4}

Ratio = 4

Next, we multiply the ratio by 7.5

Minutes = Ratio * 7.5

Minutes =4 * 7.5

Minutes = 30

<em>Hence, option B answers the question.</em>

7 0
3 years ago
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