1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
3 years ago
15

How many solutions, if any, does the equation 2(3x-5) = 6x+3 have?

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0
Hi there.

2(3x - 5) = 6x + 3;
6x - 10 = 6x + 3;
-10 = 3.

There are no solutions to this equation.

I hope this helps!
You might be interested in
Write an equation of a circle that has the center at the origin and goes through (-3,-6)
dexar [7]

Answer:

x^{2} +y^{2} = 45

Step-by-step explanation:

General Equation of circle is

(x-x_1)^{2} +(y-y_1)^{2} = r^{2}----------- (1)

Here

(x_1, y_1)= (0, 0)

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }

r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }

r= \sqrt{9+36}

r=\sqrt{45}

Substituting values in equation (1)

(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}

x^{2} +y^{2} = 45

6 0
2 years ago
Three plus the reciprocal of a number equals 7 divided by that number. What is the number?
tester [92]
3+1/x *x = 7/x*x
3x+1 = 7
3x+1-1=7-1
3x=6
3x/3 =6/3
x =2


3 0
3 years ago
The table below shows all outcomes for rolling 2 dice. The bold numbers 1 through 6 show the possible results for each die. All
Leokris [45]

Part I:

1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.

2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.

Part II:

Here you can see 36 possible outcomes.

1. The probability that at least 1 die is a 4 is:

Pr(A)=\dfrac{11}{36} - (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).

2. The probability that the sum of the dice is greater than 5 is:

Pr(B)=\dfrac{26}{36}=\dfrac{13}{18}.

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

Pr(A\cap B)=\dfrac{9}{36}=\dfrac{1}{4}.

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

Pr(A\cup B)=\dfrac{28}{36}=\dfrac{7}{9}.

4 0
3 years ago
What is the unknown fraction?
daser333 [38]

Answer:

A. 31/100

Step-by-step explanation:

Change 3/10 to hundreds:

3/10 × 10/10 = 30/100

The denominator (the bottom number) must be 100.

61 - 30 is 31.

The missing number is 31/100. See image.

4 0
2 years ago
A recent study examined hearing loss data for 1981 U.S. teenagers. In this sample, 369 were found to have some level of hearing
ruslelena [56]

Answer:

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

P-value=0.12

Step-by-step explanation:

We have to perform a test of hypothesis on the proportion.

The claim is that the proportion of US teens that have some level of hearing loss differs from 20%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.20\\\\H_a:\pi\neq0.20

The significance level is assumed to be 0.05.

The sample, of size n=1981, has 369 positive cases. Then, the proportion is:

p=X/n=369/1981=0.186

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{1981}}=\sqrt{ 0.000081 }= 0.009

Now, we can calculate the statistic z:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.186-0.20+0.5/1981}{0.009}=\dfrac{-0.014}{0.009}=-1.556

The P-value for this two-tailed test is:

P-value=2*P(z

The P-value is below the significance level, so the effect is not significant. The null hypothesis failed to be rejected.

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

7 0
3 years ago
Other questions:
  • if no digit may be used more than once how many two digit numbers can be formed using only the digits 5 6 3 and 2
    13·1 answer
  • Find the values of x and y.<br>​
    9·1 answer
  • Explain whether a logarithmic equation can have a negative number as a solution. Justify your answer. Give an example if possibl
    11·1 answer
  • I was hoping that someone can help me get the right answer
    11·2 answers
  • Which relation is a function? Select all that apply.
    6·2 answers
  • Which verbal expression represents the following algebraic expression?<br> 10+4(9)
    15·1 answer
  • Given that f ( x ) = 5 x − 5 and g ( x ) = 4 x , evaluate g ( g ( − 2 ) )
    10·1 answer
  • Find the sum of<br>number line .<br>a) 8+(-3)<br>b) (-2)+(-3)+(-4)​
    8·1 answer
  • A group of friends were working on a student film that had a budget of $1000. They used $370 of their budget on costumes. What p
    14·1 answer
  • Solve: √x+1=√x+6=1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!