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Elan Coil [88]
3 years ago
10

If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

Since AB and BC are two parts of AC, AC = AB + BC

let's plug the expressions from the question into our equation above.

19 = 3x + 1 + 2x - 7

Combine like terms

19 = 5x - 6

Add 6 to both sides.

25 = 5x

Divide both sides by 5

5 = x

Nataly [62]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Given that B is between A and C then

AB + BC = AC , substitute values

3x + 1 + 2x - 7 = 19 , that is

5x - 6 = 19 ( add 6 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5

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7 0
3 years ago
Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

A =P(1+\frac{r}{n})^n*t

Where

A = Accumulated amount  

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.  

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17  (as she will withdraw 3 month before the completion of five years)

A = 7100(1+\frac{2.8}{100} )^17

  = 7100( 1 + 0.028)^17

  =  7100(1.028)^17  

   = 7100 * 1.599

  = 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0
3 years ago
What is the equation of the line that passes through the point (2,-1) and has a slope of 3/2
Assoli18 [71]

Answer:

y=3/2x-4

Step-by-step explanation:

y=3/2x+b

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5 0
2 years ago
14c^3d^2-21c^2d^3/14cd
levacccp [35]

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I hope that's help !

3 0
3 years ago
QUICKLY PLEASE
Greeley [361]

Answer:

the answer is d e and fans f

6 0
3 years ago
Read 2 more answers
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