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Alika [10]
3 years ago
11

Algebraically, determine the exact value of x for the equation 85(2)0.4x = 6000.

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer: 14,575

Step-by-step explanation:

85(2) 0.4x = 6000      Multiply 85 times 2

170 + 0.4x = 6000      Subtract 170 from both sides

         0.4x = 5830       Divide 5830 by 0.4

             x = 14,575

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How do you factor 7b^2-63b+140?
LuckyWell [14K]
You can simplify the entire equation by dividing it all by 7, resulting in 7(b^2-6b+20). 

Here, you can factor as you normally would. Your X values would have to be found using the quadratic formula.
8 0
3 years ago
14)
poizon [28]

Answer:

f(x) = 2x+5

Step-by-step explanation:

Given the arithmetic sequence shown

7,9, 11, 13, 15, 17,

THe nth term of the sequence is expressed as;

Tn = a + (n-1)d

a is the first term = 7

d is the common difference = 9-7 = 11-9 = 2

Substitute

Tn = 7 + (n -1)*2

Tn = 7 + 2n - 2

Tn = 2n + 5

Hence the required function is f(x) = 2x+5

4 0
3 years ago
Two angle of a tranigle measure 55 and 20 what is the measure of the third angle
wariber [46]

Answer:

105 degrees

Step-by-step explanation:

Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then

a + b + c = 180 ( all in degrees)

Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then

55 + 20 + T = 180

simplify

75 + T = 180

Subtract 75 from both sides

T = 180 - 75

T = 105

7 0
3 years ago
A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive,
Sonbull [250]

Answer:

\frac{1}{270}=0.00370

Step-by-step explanation:

As the numbers are only between 1 and 30

Total number of possible combinations = 30×30×30 = 27000

If there are 100 attempts then

\text{P (someone guesses correct)}=\frac{\text{Number of attempts}}{\text{Total number of possible combinations}}\\\Rightarrow \text{P (someone guesses correct)}=\frac{100}{27000}\\\Rightarrow \text{P (someone guesses correct)}=\frac{1}{270}=0.00370

∴ Probability someone can guess the correct combination given 100 attempts is \mathbf{\frac{1}{270}=0.00370}

5 0
3 years ago
The vertices of a triangle are P(-1, 3), Q(2, -1), and R(5, 3).
Morgarella [4.7K]
Ok so to find which sides are congruent we need to know their lengths.

To find the length we need the distance formula between two point ->

√(X2-X1)∧2 +(Y2-Y1)∧2

Ok lets find the first side PQ

P(-1,3) Q(2,-1)
   X1 Y1  X2 Y2

√(2-(-1)∧2 + (-1-3)∧2 = 5

Now PR

P (-1,3) R (5,3)
    X1 Y1  X2 Y2

√(5-(-1))∧2 + (3-3)∧2) = 6

Now the last side QR

Q (2, -1) R (5,3)
   X1  Y1    X2 Y2

√(5-2)∧2 + (3-(-1))∧2 = 5

From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR

Also the opposite angles of these sides are congruent. Hope this helps :).

8 0
3 years ago
Read 2 more answers
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