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ikadub [295]
3 years ago
11

What is the value of x?

Mathematics
2 answers:
konstantin123 [22]3 years ago
8 0

Answer:

X = 1

Step-by-step explanation:

X is none number but equals to 1

ad-work [718]3 years ago
4 0

Answer:

X=11

Step-by-step explanation:

Similar triangles....

6/48 = 5/3x+7

6(3x+7) =240

3x+7=40

3x=33

x=11

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Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

Student loan                          $17,900

Total debts                             $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0
3 years ago
Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.
ololo11 [35]

Answer:

  • boat: 6 mph
  • current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

  b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

  b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

  2b = 12 mi/h

  b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

  c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

6 0
2 years ago
Prove that sinxtanx=1/cosx - cosx
maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}

Taking the RHS, note

\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}

Remember that

\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)

Therefore,

\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}

Once

\dfrac{\sin(x)}{\cos(x)} = \tan(x)

Then,

\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)

Hence, it is proved

5 0
3 years ago
Explain how numbers with a 5 in the ones place are not prime numbers
aleksandrvk [35]
Because they will always be divisible by 5
7 0
3 years ago
Read 2 more answers
What is an equivalent ratio to 3/5?
Elza [17]

Answer:

6/10

Step-by-step explanation:

multiply 3/5 by any whole number ratio equal to 1 to obtain an equivalent fraction.  

(2/2)*(3/5) = 6/10

or (3/3)*(2/5) = 9/15

etc.

3 0
3 years ago
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