Ken spent 1/5 of his allowance on a movie, 3/8 on snacks, and 2/7 on games. If his allowance was $20, how much did Ken have left?

Answer:

1200

Step-by-step explanation:

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Kiersten’s will earn 1200 dollars from his online business  this month.

Given,

Subscription fees received by Kiersten for a month by each subscriber is $10.

Since the number of members is 100 last month, so total earning of Kiersten will be,

[tex]100\times 10=1000[/tex] dollars.

According to the question, this month, 30 new members joined the website, and 10 members cancelled their subscription.

So the number of members increased will be 20.

Hence the kiersten have total 120 members this month, so the total earning of kiersten this month will be,

[tex]120\times 10=1200[/tex] dollars.

Thus kiersten earn 1200 dollars from his online business.

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The vertex of the given function is [tex](3,0)[/tex].

Given:

The given function is [tex]f(x)=2|x-3|[/tex].

To find:

The coordinates of the vertex of the graph of [tex]f(x)[/tex].

Explanation:

The vertex form of an absolute function is:

[tex]f(x)=a|x-h|+k[/tex]         ...(i)

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.

We have,

[tex]f(x)=2|x-3|[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]h=3[/tex]

[tex]k=0[/tex]

Therefore, the vertex of the given function is [tex](3,0)[/tex].

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The value of y at the y-intercept for the given situation, representing the cost of a pizza without any toppings, is $9.50.

The value of y at the y-intercept represents the cost of a pizza without any toppings. When we graph the cost of the pizza as a function of the number of toppings, the y-intercept occurs when the number of toppings is zero (meaning no toppings were added).

Since the pizza shop charges $9.50 for a pizza without toppings, this is the value of y at the y-intercept. We can represent this relationship with a linear equation y = mx + b, where m is the slope (the cost per topping) and b is the y-intercept (the base price of the pizza). In this case, m is $1.90 and b is $9.50, so the equation would be y = 1.90x + 9.50. Therefore, the y-intercept is $9.50.

Answer:

The answer is B 4x3

When does the total spent on your gym membership exceed the amount of your gift card is After 4 months

Given:

Sign-up fee = $20

Monthly fee = $25

Gift card = $120

Now let determine when does the total spent on gym membership exceed the amount gift card

Let x represent the number of months

Hence:

20 + 25x = 120

25x= 120-20

25x= 100

x=100/25

x=4

Inconclusion When does the total spent on your gym membership exceed the amount of your gift card is After 4 months.

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Answer:

[tex]a=6[/tex]

Step-by-step explanation:

We have been given coordinates of three points on the same line and we are asked to find the value of 'a'.      

First of all, we will find the equation of the line in slope-intercept form of equation [tex]y=mx+b[/tex].

Let us find slope of our given line using coordinates of point [tex](2,-2)[/tex] and [tex](-6,2)[/tex].

Upon substituting the coordinates of the given points in slope formula we will get,

[tex]m=\frac{2--2}{-6-2}[/tex]

[tex]m=\frac{2+2}{-8}[/tex]

[tex]m=\frac{4}{-8}[/tex]

[tex]m=-\frac{1}{2}[/tex]

Now, we will substitute [tex]m=-\frac{1}{2}[/tex] and coordinates of point [tex](2,-2)[/tex] in slope-intercept form of equation to find the y-intercept.

[tex]-2=-\frac{1}{2}*2+b[/tex]

[tex]-2=-1+b[/tex]

[tex]-2+1=-1+1+b[/tex]  

[tex]-1=b[/tex]

Therefore, the equation of line passing through the given points is [tex]y=-\frac{1}{2}x-1[/tex].

To find the value of 'a' we will substitute coordinates of point [tex](a,-4)[/tex] in our equation as:

[tex]-4=-\frac{1}{2}*a-1[/tex]

[tex]-4+1=-\frac{1}{2}*a-1+1[/tex]

[tex]-3=-\frac{1}{2}*a[/tex]

Upon multiplying both sides of our equation by -2, we will get

[tex]-3*-2=-\frac{1}{2}*a*-2[/tex]

[tex]6=a[/tex]

Therefore, the value of a is 6.

Answer:

A = 6

Step-by-step explanation:

I think this is late but i got this right hope this helps :D

Final answer:

The probability of drawing an even-numbered ball or an odd-numbered ball from the urn is 1.

Explanation:

To find the probability of drawing an even-numbered ball or an odd-numbered ball from an urn containing 6 balls numbered 1 through 6, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes.

The total number of possible outcomes is 6, as there are 6 balls in the urn.

The favorable outcomes are the even-numbered balls (2, 4, 6) and the odd-numbered balls (1, 3, 5), which is a total of 6 balls.

Therefore, the probability of drawing an even-numbered ball or an odd-numbered ball is 6/6, which simplifies to 1.

The P values, the z-scores are approximately: z score (left) = -2.22 and z score (right) = 1.13.

We are given that;

The area middle= 74%

Now,

We need to find the z-scores that bound the middle 74% of the area under the standard normal curve.

Since 74% of the middle area is bounded, this means that there is 13% on the left side and another 13% on the right side.

P (left) = 0.13 and P (right) = 1 - 0.13 = 0.87. At these P values, the z-scores are approximately: z score (left) = -2.22 and z score (right) = 1.13

Therefore, by statistics the answer will be  -2.22 and 1.13.

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The z-scores that bound the middle 74% of the area under the standard normal curve are approximately -1.04 and 1.04.

To find the z-scores that bound the middle 74% of the area under the standard normal curve, we need to find the z-scores that bound 13% on each tail of the curve (100% - 74% = 26%, divided by 2). Using the z-table, we can find the z-scores for these tail areas:

Therefore, the z-scores that bound the middle 74% of the area under the standard normal curve are -1.04 and 1.04.

Final answer:

The probability of winning the indicated ticket in the Numbers Game is 1/100 or 0.01.

Explanation:

To find the probability of winning the indicated ticket in the Numbers Game, we will calculate the probability of the first two digits in exact order.

There are 10 numbers (0-9) to choose from in each digit, and since replacement is allowed, the probability of choosing the correct first number is 1/10. Similarly, the probability of choosing the correct second number is also 1/10.

Since the two selections are independent, we can multiply the probabilities together to find the probability of both selections being correct. Therefore, the probability of winning the indicated ticket is (1/10) * (1/10) = 1/100 or 0.01.

For any integers m and n, [tex]\(6m^2 + 34n - 18\)[/tex] is always even Integer . One solution is [tex]\(m = 1, n = 2\)[/tex].

To determine if the expression [tex]\(6m^2 + 34n - 18\)[/tex] is an even integer for any integers m and n, let's analyze the terms.

The expression can be factored as [tex]\(2(3m^2 + 17n - 9)\).[/tex] Since 2 is a factor of the expression, it implies that the entire expression is even. Therefore, for any integers m and n, [tex]\(6m^2 + 34n - 18\)[/tex] is an even integer.

Now, to find possible values for m and n that satisfy the condition, consider that [tex]\(3m^2 + 17n - 9\)[/tex] must be an integer. We can choose arbitrary values for m and n and verify that [tex]\(3m^2 + 17n - 9\)[/tex]is an integer. For example, let m = 1 and n = 2:

[tex]\[3(1)^2 + 17(2) - 9 = 3 + 34 - 9 = 28\][/tex]

Since 28 is an integer, m = 1 and n = 2 are valid solutions.

conclusion, any integers m and n will make [tex]\(6m^2 + 34n - 18\)[/tex]an even integer. One such solution is m = 1 and n = 2, and there are infinitely many other possible pairs of integers that satisfy this condition.

The equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]

The correct answer is an option (C)

"It is the change in y coordinate with respect to the change in x coordinate."

"It is the point at which the line intersects the Y-axis."

"y = mx + c, where m is the slope and cis the y-intercept."

For given question,

A line has slope 2/3 and y–intercept -2.

So, m = [tex]\frac{2}{3}[/tex] and c = -2

Substitute these value in the slope-intercept form of line,

[tex]\Rightarrow y = mx + c\\\\\Rightarrow y = \frac{2}{3}x+(-2)\\\\ \Rightarrow y = \frac{2}{3}x-2[/tex]

Therefore, the equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]

The correct answer is an option (C)

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To find the median of an even-numbered data set, arrange the numbers in order, identify the two middle numbers, add them, and divide by two. The median for the given data set is 23.5.

To find the median of the data set (24, 16, 23, 30, 18, 29), follow these steps:

Applying these steps to the provided data set:

The correct median of this data set is 23.5.

Answer:

C (-1, 1/2, -3/5) is INCORRECT and I know it isn’t (1/3, -5/3, -2/5)...... but I’m pretty sure the answer is 1/2, 3, 5

Step-by-step explanation:

Answer: The answer is 46!

Step-by-step explanation:

Answer:

17:16

Step-by-step explanation:

12 ft = 144 inches, so this is

153 in : 144 in

= 9·17 : 9·16

= 17 : 16

The percent is used to compare the ratios when the wholes are different because it gives simple calculation.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The percent's are used to compare ratios when the wholes are different.

Now,

Let two ratios are,

⇒ 19/25 and 17/20

So, For compare we can find the percent of that ratios and simply by comparison we get the large and small ratio as;

⇒ 19/25 = 0.76 = 76%

⇒ 17/20 = 0.85 = 85%

Thus, The percent of ratio 17/20 is more than the percent of ratio 19/25.

So, The percent's are used to compare ratios when the wholes are different because it gives simple calculation and not to make denominator same.

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we know that

If the lines u and w are parallel

then

∠g=[tex]105\°[/tex] ------> by alternate exterior angle

therefore

the answer is

∠g=[tex]105\°[/tex]