Alice’s Athletic Arena requires members to pay $20 to join and members must pay $1.50 for each time they come to work out. Roy’s Romper Room requires members to pay $5 to join and members must pay $4 for each time they come to work out. How many visits will it take for the costs to both be the same?

Answer:

I believe is 3 4/6

Step-by-step explanation:

22/5  : 6/5

22/5 * 5/6

22/6

11/3

3 4/6

Answer:

11/3 or 3and2/3

Step-by-step explanation:

To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.

4 and 2/5 = 22/5

1 and 1/5 = 6/5

To divide fractions, flip one upside down and then multiply top by top, bottom by bottom

(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3

Answer:

x-5+ [tex]\frac{3}{x+2}[/tex]

Step-by-step explanation:

If x+2 is a factor, -2 is a zero. So we can put -2 in the left-hand corner of your synthetic division, bring the coefficients down so you'll have a set up like this:

-2 |   1    -3    -7

____________

1. bring down the 1:

-2 |   1    -3    -7

____________

       1

2. multiply that by -2 and enter the result underneath 3:

-2 |   1    -3    -7

             -2

___________

       1

a. then, add through:

-2 |   1    -3    -7

             -2

___________

       1     -5

3. Do the same for -5 (multiply by the zero -2), enter that underneath -7 and add through:

-2 |   1    -3    -7

             -2    10

___________

       1     -5    3

Now, reassign the coefficients to their x. Because we already factored out an x with the zero, the 1 is assigned to 'x' rather than back to '[tex]x^{2}[/tex]'. The '-5' will not have an x attached. '3' is your remainder and cannot be divided out any further, so it will be written as [tex]\frac{3}{x+2}[/tex]. Finally, just put them back together to get x-5+[tex]\frac{3}{x+2}[/tex].

Hope this helped!

Answer:

4

Step-by-step explanation:

46+4 = 50

50/5 = 10

Answer:

60.5% chance

Step-by-step explanation:

it is 23/38, since there are 23 girls and 38 ppl in total

If three members are selected to lead the parade, 23/38 is  the probability that all three are girls.

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

The number of students  involved in planning the homecoming parade are thirty eight 38.

Among these thirty eight students, there are fifteen number of boys 15 and Twenty three number of girls (23).

Given a condition that  If three members are selected to lead the parade,

We need to find the probability of all three girls.

The number of students =P(B)=38

The number of girls=P(A)=23

The probability of all three girls is P(A)/P(B)

23/38

Hence 23/38 is the probability that all three are girls.

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Answer:

y = 8.25x

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.

We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)

Computing the equation of the line we have:

[tex]\displaystyle y-33=\frac{57.75-33}{7-4}(x-4)[/tex]

Operating:

[tex]\displaystyle y-33=\frac{24.75}{3}(x-4)[/tex]

[tex]y - 33 = 8.25( x - 4 )[/tex]

[tex]y = 8.25x - 33 + 33[/tex]

y = 8.25x

There is a proportional relationship.

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{4}+\frac{1}{3}\\Find a common denominator\\2*3=6\\4*3=12\\1*4=4\\3*4=12\\\frac{6}{12}+\frac{4}{12}\\6+4=10\\\frac{10}{12}=\frac{5}{6}[/tex]

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

Step-by-step explanation:

-4x - 28 = -4(x + 7) or 4(-x - 7)

Topic: Algebraic factorization

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.

Answer:

2,350,000,000

Step-by-step explanation:

Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 100°

Answer:

Please check the explanation.

Step-by-step explanation:

As an airplane travels 780 miles in 4 hours.

We need to determine the table and graph to show the mileage for 2,8 and 12 hours.

as

The airplane covers the distance in 4 hours: 780 miles

so

The airplane covers miles in 1 hour will be: 780/4 = 195 miles

Hence, the table can be calculated as:

Hours                             Distance Mileage in Miles

[tex]2[/tex]                                       [tex]2\times195\:=\:390[/tex] miles

[tex]8[/tex]                                       [tex]8\times195 = 1560[/tex] miles

[tex]12[/tex]                                     [tex]12\times195 = 2340[/tex] miles

It is clear from the table that it is a direct variation as the constant is 195 miles per hour.

Please check the attached graph. The graph clearly indicates a direct variation.

Answer:

The slope is 4/60. Simplified is 1/15

Step-by-step explanation:

Rise over run :)

Answer:

Please check the explanation!

Step-by-step explanation:

Given the expression what Lizzet said was correct

[tex]6^3\times \:\:3^6=18^8[/tex]

No, she is not right. Let me solve the expression

Let us solve the expression

[tex]6^3\times \:\:3^6[/tex]

[tex]=\left(3\times \:2\right)^3\times \:3^6[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c[/tex]

[tex]=3^3\times \:2^3\times \:3^6[/tex]          ∵  [tex]\left(3\times \:2\right)^3=3^3\times \:2^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}[/tex]

[tex]=2^3\times \:3^{3+6}[/tex]                 ∵  [tex]3^3\times \:3^6=\:3^{3+6}[/tex]

[tex]=2^3\times \:3^9[/tex]

Therefore, the correct expression will be:

[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]

which can be further simplified such as:

[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]

             [tex]=8\times \:19683[/tex]

             [tex]=157464[/tex]

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz mark as brainliest!!!

Answer:

The equation is already in slope intercept form, -3/2 is the slope and 12 is the y intercept.

Is this a trick question?

Step-by-step explanation:

May I have brainliest please? :)

Answer:

43°

Step-by-step explanation:

1. You need to create an equation: 3c+64+5c+82=90°

(Why 90°?)- this is a right triangle as you can see the little square

2. Then combine like terms

8c+146=90°

3. Subtract 146 from both sides

4. 8c=-56

5. Then divide 8 from both sides

C= -7

6. Then plug in -7 in 3c+64 and solve!

7. The final answer is 43

Answer:

43.5

Step-by-step explanation:

Hope this helps! Consider Brainiest!

Answer:

43.5

Step-by-step explanation:

15%= 15/100

=0.15 × 290

= 43.5

Answer:

What does the vertical rectangle with intersecting lines in the shape of an "x" mean? A rectangle which has an X inside means there is a Unicode character or emoji that is meant to show there, but your system doesn't support it.

Step-by-step explanation:

go to google

Answer:

26

Step-by-step explanation:

Answer:

[tex]m=-\frac{2}{3}[/tex]

Step-by-step explanation:

Taking any two points on the line to find the slope

Let us find the slope between the two points we took from the line graph

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-6,\:5\right)[/tex]

[tex]m=\frac{5-\left(-3\right)}{-6-6}[/tex]

[tex]m=-\frac{2}{3}[/tex]

Answer:

3/4=n/8

Step-by-step explanation:

An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, mix 3 liters of water with 4 lemons to make lemonade.

Let n be the number of liters of water mixed with 8 lemons.

So, an equation is 3/4 = n/8

3/1 = n/2

n=6

Therefore, option A is the correct answer.

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Answer:

The slope of a line that is perpendicular to the line

y = -1/8x +3​ will be: 8

Step-by-step explanation:

Given the equation

y = -1/8x +3​

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is -1/8.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-1}{8}}=8[/tex]      ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]

Therefore, the slope of a line that is perpendicular to the line

y = -1/8x +3​ will be: 8