Rafael spent 24 dollars on a movie ticket, popcorn, and a soft drink. if the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, what was the cost of the movie ticket?

Answer: n has two distinct prime factors 2 and 3.

Step-by-step explanation:

As given the smallest composite number such that it can be written as the product of two positive integers that differ by 10.

i.e. if first number be x then the other number be x+10 and n=x(x+10), where n must be composite number.

So after putting the values of x by positive integer

1) x=0 then n=0(10+0)=0...which is not a composite number.

2) x=1 then n=1(1+10)=11..... which is not a composite number.

3)x=2 then n=2(2+10)=24......which is a composite number.

so our n=24 and we know that 24=2×2×2×3

Therefore its distinct prime factors are 2 and 3.

Answer:

2

Step-by-step explanation:

Solution:

The smallest pair of numbers that differ by 10 is 1 and 11; however, they multiply to 11 which is not composite. We try the next pair up: 2 and 12, which multiply to 24 which is composite, so [tex]$n=24$[/tex].  [tex]$24$[/tex]  factors as [tex]$2^3 \cdot 3$[/tex], so it has [tex]$\boxed{2}$[/tex] prime factors: 2 and 3.

Hope this helped! :)

4/75 = x/60

75x = 240

divide each side by 75

x = 3.2

Davids jogging rph/rate per hour would most likely be 3.5 /3.7

Answer:

B

Step-by-step explanation:

3(x - 4) + 5x = 9x - 36   Given

(3)(x) + (3)(-4) + 5x = 9x - 36       Distributive Property

3x - 12 + 5x = 9x - 36

(3x + 5x) - 12 = 9x - 36      Combine like terms

8x - 12 = 9x - 36

8x - 8x - 12 = 9x - 8x - 36   Subtraction Property of Equality

0 - 12 = x - 36         Additive Identity Property

-12 = x - 36

-12 + 36 = x - 36 + 36       Addition Property of Equality

24 = x

Answer: Additive Identity Property

Answer:Additive Identity Property

Step-by-step explanation:

Hello!

Answer:⇒15√6 i

Step-by-step explanation:

√-54=3√6 i

5*3√6 i

Multiply the numbers.

5*3=15

=15√6 i

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

[tex]i=\sqrt{-1}[/tex]

[tex]5\sqrt{-54}=5\sqrt{9(-6)}=5\cdot\sqrt9\cdot\sqrt{-6}=5(3)\sqrt{(6)(-1)}\\\\=15\cdot\sqrt6\cdot\sqrt{-1}=15\cdot\sqrt6\cdot i=15i\sqrt6[/tex]

53√2

using the ' law of radicals '

√a × √b = √ab

simplifying the radicals

√200 = √( 100 × 2 ) = √100 × √2 = 10√2

√162 = √( 81 × 2 ) = √81 × √2 = 9√2

8(10√2 - 3(9√2) = 80√2 - 27√2 = 53√2

Answer:

2.88095238095

Step-by-step explanation:

Because the 2 triangles are similar, find the ratio of 2 known sides.

Side XY = 10

Side AB = 25

25 / 10 = 2.5

This means the larger triangle is 2.5 times larger than the smaller one.

Now find the side of the smaller triangle, that would be the same side as X on the larger triangle and multiply that by 2.5.

XZ is the same side as AC

So X = 6 x 2.5

X = 15

If it were 3:00 precisely then it would be 90 degrees.

The minute hand moves 360 degrees per hour so 5 minutes makes it 30 degrees closer to the hour haned.

The hour hand moves 360 degrees per 12 hours (720 minutes) so 5 minutes make it move 2.5 degrees further from the minute hand.

90 degrees -30 degrees + 2.5 degrees = 62.5 degrees

Answer:

30° angle between the minute and the hour hands, when they show 3:05 PM.

Step-by-step explanation:

Given  : 3:05 PM

To find :  What is the measure of the angle between the minute and the hour hands.

Solution : We have given clock that showing time 3:05 PM

We know that clock make the complete angle that is 360 degree.

We know 1 hour = 60 minute.

So, angle formed by 60 minute  = 360 °.

Angle formed by 1 minute = [tex]\frac{360}{60}[/tex].

Angle formed by 1 minute = 6°.

According to question :

At 3:05 pm

Total minute between minute hand and hour hand is 5.

So. Angle formed by 5 minute = 5 * 6 .

Angle formed by 5 minute = 30° .

Therefore, 30° angle between the minute and the hour hands, when they show 3:05 PM.

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.

2x^2 + 3x^2 = 5x^2

9x + -2x = 9x-2x = 7x

-9 + 14 = 5

Total area = 5x^2 + 7x + 5

Keep the bases of 6 and add exponents: [tex]6^{16}[/tex]

Keep the bases of 11 and add exponents: [tex]11^{26}[/tex]

So its C.

hope that helps :)

Answer:

c apex im positive

Step-by-step explanation:

Option C of the following is an arithmetic sequence. 3,0,-3,-6 is the correct arithmetic sequence.

A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other. A series is a collection of sequences.

3,0,-3,-6 is the correct arithmetic sequence.

d is the common difference of the series;

3,0,-3,-6

d=0 - 3= - 3 - 0 = -6 - (-3)

d= - 3

An arithmetic sequence has an equal common difference in each progressive term.

Hence, option C of the following is an arithmetic sequence.

To learn more about the sequence, refer to https://brainly.com/question/9737262.

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If the street is already 24 m wide, and it is being expanded by 125%, then the correct answer is C. 30 m!

125% simply means 1 1/4.     1/4 of 24 is 6.    So, you have 24 + 6 = 30!

Answer:

The correct answer is C: the new street should be 30m wide.

Step-by-step explanation:

This is a simple problem of per-cents. Perhaps the easiest way to do it is to use a basic ‘‘rule of three’’. In this particular case the 100% is the width of the old street, i.e. 24 m; and we want to know the new width, that is 125% of the old street. So,

                   24 ---- 100%

                    x  ----- 125%

To find x we use the formula

[tex]x = \frac{24*125}{100} = 3000/100=30[/tex]

So, the width of the new street is 30m.

The multiplicative inverse of 6 1/8 (49/8) is

8/49

The multiplicative inverse of 6 1/8 is 49/8

Equation: You have to multiple the whole number by the denominator and add that to the numerator.

Hope this helps!

-John

If you divide 7 by 2 it equals 3.5 meaning each game is 3.5 dollars.  So you can find how much any number of games would be by using this equation g (3.5) = c  For example, if there were 3 games then you would do 3 (3.5) = c and the cost would be 10.5 dollars.  

Final answer:

The relationship between the cost and the number of games bowled can be represented by the equation c = 3.5g, where c is the total cost and g is the number of games bowled.

Explanation:

To determine the relationship between the cost (c) and the number of games (g) bowled, we need to find a formula that connects these two quantities based on the information provided. Given that bowling two games costs $7 and bowling four games costs $14, we can see that the cost is directly proportional to the number of games bowled. This means for every game bowled, there is a fixed rate being paid.

Let's break down the information given:

2 games = $7

4 games = $14

From this, we can see that each game costs $3.50 because $7 divided by 2 equals $3.50. Therefore, the relationship between the cost and the number of games can be represented by the equation:

c = 3.5g

Where c represents the total cost and g represents the number of games bowled. This equation can be used to calculate the cost for any number of games bowled.

i bleieve the answer is 1796

Out of 4041 students in a school where 5/9 are girls, the number of boys in the school will be 1796.

In this mathematics problem, we are looking to find the number of boys in a school where we know the total number of students (4041) and the proportion that are girls (5/9). To start, you can determine the number of girls in the school by multiplying the total number of students by the proportion of students that are girls (4041 * 5/9 = 2245). Taking this number of girls away from the total number of students gives us the number of boys: 4041 - 2245 = 1796. So, out of 4041 students, 1796 of them are boys.

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The answer might be c

The first option is the right answer

Range are the y-values. Plug the x-values into the equation and solve for y.

f(x) = 3x - 2

f(-1) = 3(-1) - 2

     =   -3  - 2

     = -5

f(0) = 3(0) - 2

     =   0  - 2

      = -2

R: -5 ≤ y < -2   ⇒   [-5, -2)

********************************

f(x) = 2x + 3

f(0) = 2(0) + 3

     =   0  + 3

     =    3

f(5) = 2(5) + 3

      =  10 + 3

      =  13

R: 3 ≤ y < 13    ⇒  [3, 13)

Now, put them together:  [-5, -2) U [3, 13)

Answer: A

To find the y value in this line, we can simply plug 2 into the variable x and solve.

2(2) + 5

4 + 5 = 9

The y value for x 2, is 9.

This can be displayed as (2, 9).

Using the slope intercept relation, the missing y value in the points given is 9.

Given the slope intercept equation :

Substituting the value of x into the equation and solving for y :

y = 2(2) + 5

y = 4 + 5

y = 9

Therefore, the value of y which is missing is 9 ; the point is( 2, 9)

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The formula for area of this shape is (a+b)/2 * h

a = 8

b= 12

h = 6

Area = (8+12)/2 * 6

Area = 20/2 * 6

Area = 10 * 6

Area = 60 sq. m.

Answer:

It's true that  [tex]JK \cong MN[/tex]

Step-by-step explanation:

If the lengths of two line segments are equal, then they are said to be congruent to each other.

[tex]JK[/tex] has endpoints as [tex]J(-1, 10)[/tex], [tex]K(-5,2)[/tex] and [tex]MN[/tex] has endpoints as [tex]M(9,-7), N(1,-3)[/tex]

Formula for finding the length of line segment: [tex]\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two endpoints.

So, the length of [tex]JK = \sqrt{(-1-(-5))^2+(10-2)^2}= \sqrt{(4)^2+(8)^2}= \sqrt{16+64}= \sqrt{80}[/tex]

and the length of [tex]MN=\sqrt{(9-1)^2+(-7-(-3))^2}= \sqrt{(8)^2+(-4)^2}= \sqrt{64+16}= \sqrt{80}[/tex]

As, the lengths of [tex]JK[/tex] and [tex]MN[/tex] are equal, so we can say that, [tex]JK[/tex] is congruent to [tex]MN[/tex].

To determine if JK is congruent to MN, use the distance formula to find the lengths of the line segments. If the lengths are equal, then the segments are congruent.

To determine if JK is congruent to MN, we need to compare the lengths of these line segments. The formula for finding the length of a line segment with endpoints (x1, y1) and (x2, y2) is the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Since the lengths of JK and MN are equal (sqrt(80) = sqrt(80)), we can conclude that JK is congruent to MN.

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"The correct answer is that diagrams showing how matter moves through organisms and the environment are called cycles because they depict continuous, circular pathways.

In ecosystems, matter is not created or destroyed but is continuously recycled. This recycling process occurs in a loop or cycle, where matter moves from the environment to organisms and then back to the environment. For example, in the carbon cycle, carbon dioxide is taken in by plants during photosynthesis, then passed on to animals that consume the plants, and eventually returned to the environment through processes like respiration and decomposition.

These cycles are essential for the sustainability of ecosystems because they ensure that nutrients and other materials are reused and not depleted. The term ""cycle"" reflects the repeating and ongoing nature of these processes, highlighting the interconnectedness and interdependence of organisms and their environment. By using diagrams to represent these cycles, we can visualize and better understand the complex interactions and pathways that matter follows in ecosystems."

The answer you want would be C.52

Reason: 32+5= 37 that is the 1st and 2nd term. 37+5=42 thatis the 3rd term. 42+5=47 that's the 4th term. And 47+5=52 that's the 5th term.

Hope it helps!!

When the 12 numbers are listed in order, they are ...

... 13, 15, 18, 20, 23, 23, 27, 29, 30, 32, 36, 38

The extreme values are 13 and 38. Only the third plot has the ends of the whiskers on these values.

Since there are an even number of numbers, the median is the average of the middle two: (23 +27)/2 = 25. Only the third plot shows the median at 25.

Since each half of the data set has an even number of numbers, the 1st and 3rd quartile values are the averages of the middle two numbers in each half:

The third plot has the ends of the box in these places, confirming it is the correct choice.

The appropriate choice is the third one.

[tex]a_n=-6+7n\\\\a_{30}\to \text{substitute n = 30}\\\\a_{30}=-6+(7)(30)=-6+210=214[/tex]

50.94339623 percent boiii

Answer:

50.9%

Step-by-step explanation:

We are asked to find 27 pounds of recyclable trash is what percentage of the barrel of 53 pounds of trash.

We need to find 27 is what percent of 53. We can represent this information in an equation as:]

[tex]\frac{27}{53}\times 100[/tex]

[tex]0.5094339\times 100[/tex]

[tex]50.94339\%\approx 50.9\%[/tex]

Therefore, 27 pounds of recyclable trash is 50.9% of the barrel of 53 pounds of trash.

The answer is 199.198.

Answer: x = {199.28959,  0.00000278768}

Step by step explanation:

0.00216140848x² - 0.43046552x + 0.0000012=0

[tex]x = \frac{-b +/- \sqrt{b^{2}- 4ac} }{2a}[/tex]

[tex]x = \frac{-(-0.43046552) +/- \sqrt{-0.43046552^{2}- 4(0.00216140848)(0.0000012)} }{2(0.00216140848)}[/tex]

You can do each step manually or use a quadratic calculator to do the calculations.

x = 199.28959, x = 0.00000278768

Whenever you want to write the equation of a parallel line through some point (h, k), you can ...

Using this formula here, we get

... 2(y +5) = 3(x -2)

Your answer form requires you solve this for y.

... 2y + 10 = 3x -6 . . . . . eliminate parentheses

... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)

... y = (3/2)x -8 . . . . . . divide by 2