Solve for x:
2/3+1/3x=2x

Answer:

x= square root of 6/5

Step-by-step explanation:

-5x^2+6=0

-5x*2=-6

5x^2=6

5x=square root of 6

x= square root of 6/5

Answer:

[tex]\frac{\sqrt{30}}{5}, -\frac{\sqrt{30}}{5}[/tex]

Step-by-step explanation:

We have the equation [tex]-5x^2 + 6 = 0[/tex]

Since we know that any number multiplied by 0 is 0, we can safely make the term [tex]0x[/tex] to add to this.

So our equation now is [tex]-5x^2 + 0x + 6[/tex]

We can now solve for this using the quadratic formula, which is [tex]\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].

b is the coefficient on the x term, a is the coefficient on the [tex]x^2[/tex] term, and c is the constant.

Let's substitute inside the equation, since we know [tex]a = -5[/tex], [tex]b = 0[/tex] and [tex]c = 6[/tex].

[tex]\frac{{ - 0 \pm \sqrt {0^2 - 4\cdot-5\cdot6} }}{{2\cdot-5}}}\\\\\frac{{ 0 \pm \sqrt {0 -( -120)} }}{{-10}}}\\\\\frac{{ 0 \pm \sqrt {120} }}{{-10}}}\\\\\frac{{\pm \sqrt {120} }}{{-10}}}\\\\[/tex]

[tex]\frac{\sqrt{30}}{5}, -\frac{\sqrt{30}}{5}[/tex]

Hope this helped!

Answer:

35

Step-by-step explanation:

140 divided by 4 is 30

We are being told that:

A leaf fell in the river:

We are to determine how many meters the leaf travel per minute.

SO;

Let the number of meters he traveled in one minute be (x).

i.e.

∴

140 meters = 4 minutes

x meters = 1 minutes

By cross multiply and making x the subject of the formula; we have:

[tex]\mathbf{(x) meters = \dfrac{140 meters \times 1 minute}{ 4 minutes}}[/tex]

x = 35 meters

Therefore, we can conclude that the leaf travels a distance of 35 meters per minute.

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Answer:

I think the answer would be x = 3, 4, 5, 6 (Anything greater than 3)

The answer is: x ≥ 3

Step-by-step explanation:

I think this is the answer because:

1) Since the sign ≥ means equal to or less than, x has to equal 3 or greater.

2) This is because if x = 3 then, 2 x 3 equals to 6.  6 and 6 are equal. If x = 4 then, 2 x 4 would equal 8. 8 is greater than 6.

3) Since 2x has to be something equal to or greater than 6, x has to equal 3 or something greater than 3.

Hope this helps!

The solution of the inequality 2x ≥ 6 is greater than or equal to three.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The inequality is given as,

2x ≥ 6

Simplify the inequality, then the value of x will be

x ≥ 6/2

x ≥ 3

Thus, the value of the variable x is greater than or equal to three.

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Answer: r=9

Step-by-step explanation: 54/6=9

Answer:

r=54/6

r=9.

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Step-by-step explanation:

7/8 ÷ 40 = 0.0218

7/8 x 40 = 35

Answer:

The numbers in 7/8 divided by 40 are labeled below:

7 = numerator

8 = denominator

40 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

7

8 x 40

 =    

7

320

Thus, the answer to 7/8 divided by 40 in fraction form is:

7

320

To make the answer to 7/8 divided by 40 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

7/320 = 0.0219

The answer is rounded to the nearest four decimal points if necessary.

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{45 - 21h}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(5 - 3h)}[/tex]

Distribute 7 through the parentheses

[tex] \dashrightarrow{ \sf{7 \times 5 - 7 \times 3h}}[/tex]

[tex] \dashrightarrow{ \sf{45 - 21h}}[/tex]

Hope I helped!

Best regards! :D

Answer:

14h

Step-by-step explanation:

7(5-3h)

you do distributive property on the first step.

35-21h

then you subtract the two.

14h is your answer.

Answer:

12

Step-by-step explanation:

13 + 6 + 2x -18 = 4x - 29

19 + 2x -18 = 4x -29

2x + 1 = 4x - 29

30 = 2x

15 = x

CD = 2(15) -18

CD = 30 -18

CD = 12

Answer:

= (57/5)×(19/8) =(57/5)×(8/19) =456/95

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity

Step-by-step explanation:

The coefficient of determination can be computed from the data

Movie                Twitter Activity Receipts

The Devil Inside            219509 14763

The Dictator                        6405 5796

Paranormal Activity 3        165128 15829

The Hunger Games         579288 36871

Bridesmaids                        6564 8995

Red Tails                         11104 7477

Act of Valor                         9152 8054

Here twitter activity be the independent variable and Receipts be the response variable.

Using MS Excel for regression analysis

DATA>DATA ANALYSIS>REGRESSION

Selecting twitter activity as X variable and Receipts as Y variable. We get the following output

SUMMARY OUTPUT                

Regression Statistics        

Multiple R                0.987916601        

R Square                 0.97597921        

Adjusted R Square 0.971175052        

Standard Error         35967.08167        

Observations             7        

ANOVA        

                df SS                    MS              F                 Significance F  

Regression  1  2.62805E+11 2.62805E+11 203.1530224 3.06274E-05  

Residual         5 6468154818 1293630964      

Total       6 2.69273E+11      

            Coefficients Standard Error   t Stat       P-value

Intercept   -128751.8007 23384.79926  -5.505790293 0.002702573

Receipts     19.41414946 1.362092886  14.25317587        3.06274E-05

We can see that R Square=0.97597921, So the 97.6% of variation in Receipts is explained by its linear relationship with twitter activity or we can say that 97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity.

Answer:

9/14

Step-by-step explanation:

When you find the quotient of 3/7 and 2/3, you flip 2/3 and multiply the numerators and the denominators.

Answer:

9 over 14

Step-by-step explanation:

keep the first fraction the same. change the division sign to multiply, and flip the 2 over 3 to 3 over 2 and just multiply from there

Answer:17

Step-by-step explanation:

The length of segment AB is,

AB = 9 units

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

In triangle ADC,

AC = 9

AD = 16

Hence, We have;

Line l is divide the base AC in two equal parts.

Hence,

⇒ AB = AC

This gives,

AB = 9 units.

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Answer:

One package costs 2.24.

Step-by-step explanation:

Let x be the cost of one package:

3x = 6.72

x = 6.72 / 3 = 2.24

Answer:

About 1.05 US quart

Answer:

One liter is like 1.05668821 quarts and just round it to whatever your teacher wants

Answer:

a

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

4y - 9 - 13y

Combine like terms

4y-13y-9

-9y -9

2 + 4u - 7 +3u + 10 -12u

Combine like terms

4u+3u-12u+2-7+10

-5u+5

16j +8-9j -4-7j

Combine like terms

16j-9j-7j+8-4

0j +4

4

Answer:

13.5

Step-by-step explanation:

106.65 mi / 7.9 gallons = 13.5 miles per gallon

Formula for the term of a geometric sequences has been defined as,

"Each number is 4 less than 3 times the previous numbers"

Therefore, recursive formula will be,

[tex]T_n=3(T_{n-1})-4[/tex]

Now we will use this formula to build the sequence,

A). If [tex]T_1=10[/tex],

    Then [tex]T_2=3(10)-4=26[/tex]

     [tex]T_3=3(26)-4=74[/tex]

     [tex]T_4=3(74)-4=218[/tex]

     [tex]T_5=3(218)-4=650[/tex]

     Therefore, the sequence will be,

      [tex]10,26,74,218,650[/tex]

B). If [tex]T_1=1[/tex],

    Then [tex]T_2=3(1)-4=-1[/tex]

    [tex]T_3=3(-1)-4=-7[/tex]

    [tex]T_4=3(-7)-4=-25[/tex]

    [tex]T_5=3(-25)-4=-79[/tex]

    Therefore, the sequence will be,

    [tex]1,-1,-7,-25,-79[/tex]

C). If, [tex]T_1=5[/tex],

    Then, [tex]T_2=3(5)-4=11[/tex]

     [tex]T_3=3(11)-4=29[/tex]

     [tex]T_4=3(29)-4=83[/tex]

     [tex]T_5=3(83)-4=245[/tex]

    Therefore, the sequence will be,

     [tex]5,11,29,83,245[/tex]

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Answer:

Step-by-step explanation:

Each of the triangles is similar, so we have ...

  3/5 = (3+x)/20

  x = 20(3/5) -3

  x = 9

__

  4/5 = (4+y)/20

  y = 20(4/5) -4

  y = 12

__

  3/5 = (3 + x + u)/60

  u = 60(3/5) -3 -9

  u = 24

__

  4/5 = (4 +y +v)/60

  v = 60(4/5) -4 -12

  v = 32

Answer:

The inverse of this function is f(x) = 3x - 6.

You can find the inverse of any function by switching the f(x) and x values. Once you've done that, solve for the new f(x). The result will be the inverse function. The step-by-step process is below.

f(x) = 1/3x + 2 ---> Switch f(x) and x values

x = 1/3f(x) + 2 ---> Subtract 2 from both sides

x - 2 = 1/3f(x) ----> Multiply both sides by 3

3(x - 2) = f(x) ----> Distribute the 3

3x - 6 = f(x) ----> Place in the proper order for formatting purposes

f(x) = 3x - 6

And that is your inverse function.

Step-by-step explanation:

Answer:

540 miles

Step-by-step explanation:

60 miles per 1 hour

120 per 2 hours... etc.

multiply 60 and 9 to get 540