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Eddi Din [679]
3 years ago
6

Solve for x. 16x – 3(4x + 5) = 2x + 9

Mathematics
2 answers:
aniked [119]3 years ago
8 0

Answer:

The answer is x=12

motikmotik3 years ago
7 0

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

16x - 3(4x + 5) = 2x + 9          Distribute -3 into (4x + 5)

16x + (-3)4x + (-3)5 = 2x + 9

16x - 12x - 15 = 2x + 9         Combine like terms (terms that have the same variable and power/exponent), which are 16x - 12x, as they have the same variable "x" and a power/exponent of 1.

4x - 15 = 2x + 9        Subtract 2x on both sides

4x - 2x - 15 = 2x - 2x + 9

2x - 15 = 9     Add 15 on both sides

2x - 15 + 15 = 9 + 15

2x = 24          Divide 2 on both sides to get "x" by itself

\frac{2x}{2}=\frac{24}{2}

x = 12

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4 years ago
In a sales effectiveness seminar, a group of sales representatives tried a few approaches to selling a new automobile to a custo
Ksju [112]

Answer:

1. P(S) = 373/580

2. P(S|A) = 53/116

3. P(S|Pa) = 481/580

Step-by-step explanation:

Given

---------------------Sale ----- No Sale-----Total

Aggressive ----265 --------315 ----------580

Passive ----------481 ---------99 -----------580

Total --------------746---------414------------1160

A = aggressive approach,

Pa = passive approach,

S = sale,

N= no sale.

(a) Computing P(S)

This is calculated as the division of customers that participated in sales by total customers

Customers that participated in sales = 265 + 481 = 746

Total Customers = 1160

P(S) = 746/1160

P(S) = 373/580

b.

P(S|A) means that the probability that a sales occur given that the aggressive method was used.

To solve this, we check the cell where Sales and Aggressive intersect

The cell element = 265

Total = 580

P(S|A) = 265/580

P(S|A) = 265/580

P(S|A) = 53/116

c.

P(S|Pa) means that the probability that a sales occur given that the passive method was used.

To solve this, we check the cell where Sales and Passive intersect

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3 years ago
In ΔNOP, the measure of ∠P=90°, PO = 48, NP = 55, and ON = 73. What is the value of the sine of ∠N to the nearest hundredth?
mojhsa [17]

Answer:

0.66

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4 0
3 years ago
Solve the following inequality for mm. Write your answer in the simplest form.<br> 10m − 3 &gt; 6m+1
Georgia [21]

Answer:

m > 1

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3 0
2 years ago
Read 2 more answers
Let (3, -2) be a point on the terminal side of 0.
saveliy_v [14]

Answer:

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It means the the terminal sides of angle lies in 4rth quadrant, such that:

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tanθ = -0.667

secθ = Hypotenuse/Base

secθ = 3.61/3

secθ = 1.203

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4 years ago
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