a movie club charges a one time fee of $25 it allows members to purchase movies for $7 each another club does not charge a membership fee and sells movies $12 how many movies must a member purchase for the total cost of the two clubs to be equal
The number of movies in which the total cost of the two clubs should be equal is 5.
Given that,
The one-time fee is $25.The other club should be $7.The selling price of the movies should be $12.Let us assume the number of movies be x.25 + 7x= 12x
Now put -7x in both sides
So,
25 + 7x -7x = 12x - 7x
25= 5x
x = 5
Therefore we can conclude that the number of movies in which the total cost of the two clubs should be equal is 5.
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8.51 is what percent of 18.5
dive the two numbers:
8.51 / 18.5 = 0.46
0.46 = 46%
What number can be written as 40 plus 5
add them together: 40+5 = 45
the number is 45
in a sale there is 25% off all prices a bed costs £33 in the sale what was the original price
Tina and Bruce are each rolling a 1 to 6 number cube . they are looking for different ways to roll two factors whose product is greater than 14. how many different ways will they find ?
Final answer:
To find the different ways to roll two factors whose product is greater than 14, we list the different outcomes when rolling a number cube twice.
Explanation:
To find the different ways to roll two factors whose product is greater than 14, we need to consider the possible outcomes when rolling a number cube twice.
First, we look at the factors of 14 and determine that they are 1, 2, 7, and 14.
Now, we can list the different ways to roll two factors:
If Tina rolls a 1 and Bruce rolls a 15 (6 + 9), the product is 15 which is greater than 14.
If Tina rolls a 2 and Bruce rolls a 10 (3 + 7), the product is 20 which is greater than 14.
If Tina rolls a 7 and Bruce rolls a 3, the product is 21 which is greater than 14.
If Tina rolls a 14 and Bruce rolls a 2, the product is 28 which is greater than 14.
Therefore, there are 4 different ways for Tina and Bruce to roll two factors whose product is greater than 14.
sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
The value of sin (α - β), where sin α = 21/29 and α is in the 2nd quadrant, and cos β = 15/17 and β is in the 1st quadrant, is calculated to be 379/493.
Explanation:In trigonometry, the formula for sin (α - β) is defined as sin α cos β - cos α sin β. Given the problem, we know sin α is 21/29 and cos β is 15/17.
However, we need to determine cos α and sin β. In these cases, we use the identity sin² α + cos² α = 1, and its counterpart for β. For α being in the second quadrant, cos α would be negative. Therefore, cos α = -√(1 - (21/29)²), which simplifies to -8/29. Similarly, for β in the first quadrant (where sin β is positive), sin β = √(1 - (15/17)²), which simplifies to 8/17.
Substitute these values into the formula for sin (α - β), we have sin (α - β) = (21/29 * 15/17) - (-8/29 * 8/17) = 315/493 + 64/493 = 379/493.
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Kalesha is purchasing a laptop. The original price of the laptop is $900. The store is offering 10% off on all computers. Kalesha has a $100 gift card.
How should Kalesha determine the amount she will pay for her computer?The amount Kalesha will pay for her computer is:
$ 710
Step-by-step explanation:It is given that:
The original price of the laptop is $900.
The store is offering 10% off on all computers.
Kalesha has a $100 gift card.
Now in order to calculate the amount Kalesha will pay we first have to find the cost that will be reduced on a offer of 10% provided by the store and subtract this reduced price from the original price ; and finally we again subtract $ 100 from this resulting price.
When a offer of 10% is applied to the computer we have:
Price reduced on offer=10% of original price
i.e.
Price reduced on offer=10%×900
i.e.
Price reduced on offer=0.10×900
i.e.
Price reduced on offer=$ 90
Cost of Computer= Original price-Price reduced on offer
i.e.
Cost of computer= 900-90
i.e.
Cost of Computer=$ 810
Now, when Kalesha uses her gift card of $ 100 then,
Amount Kalesha will pay= $ (810-100)
i.e.
Amount Kalesha will pay= $ 710
If 12 less than 4 times a number is 8, the number is 5. What difference sentence where the unknown number is also 5?
or parallelogram ABCD, A(0, 0), B(a, b), and D(c, 0) are three of its vertices. Find the coordinates of C in terms of a, b, c.
Answer:
(a + b, c)
Step-by-step explanation:
I did this is school and this was the correct answer!
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Find an equation of the sphere that passes through the origin and whose center is (â2,2,3). be sure that your formula is monic.
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site.Write and solve an equation to determine how many total hours you have to work
The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he correctly rounded to the nearest hundred
Three fourths of college students use the Internet more than the library. Nine hundredths use the library more. How many times more students use the internet?
I am not sure how to solve this
The entrance fee for an exhibition is $6 for an adult and $4 for a child. $700 was collected from the sale of tickets. There were 5 more adults than children. How many adults were there?
Michael plays 1/5 of a song in 1/15 pf a minute. How many minutes will it take to play whole song
4/9 divided by what equals 12
99 Point question - Consider the graph of f(x) below. (See attachment)
Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, or logarithmic.
Which number sentence correctly solves this problem?
Jill's dad spent $783 for home repairs and $390 for car repairs. How much did Jill's dad spend on the repairs?
A.
783 – 390 = 393
B.
783 + 390 = 1,073
C.
783 + 390 = 1,173
D.
783 – 390 = 493
Explain why the function is differentiable at the given point then find the linearization of x/(x+y)
a number is double and than increased by nine. the result is ninety-one. what is the original number?
A store is giving away a $10 to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store . which person will be the first to get both coupons?
DVD cases are sold in packages of 20 padded mailing envelopes or so in packets of 12 what is the least number of cases and envelopes you could buy so that there is one case for each envelope with none left over
Housing expenses are commonly referred to as PITI. What does PITI stand for?
Answer:
Step-by-step explanation:
PITI: principal, interest, taxes, and insurance
What is the volume of the frustum?
depending on the value used for PI the answers vary
but attached picture is solution
Answer is A.503.77
Can someone help me understand why the mean travel for women is greater than the mean travel for men?
Problem Words:
"In San Jose, the amount of time it took each person to get to work was recorded and rounded up to the nearest 555 minutes. The data collected for men and women are shown in the bar graph to the left"
To ascertain why mean travel time for women could be greater than for men, one would analyze commuting data for both genders and possibly use hypothesis testing to determine if any observed difference is statistically significant.
Explanation:Understanding the differences in mean travel time between men and women requires analysis of provided data and consideration of statistical methods. For instance, if in San Jose, the recorded commuting times were higher for women, this could be a result of many factors including job location, availability of transportation, or societal roles affecting women's work commute. In the hypothetical scenario provided, it appears there were no actual data points or a graph to refer to, but typically, one would calculate the average commute time for each gender groups and then compare the two means.
For example, if you have a dataset and you're trying to establish whether the mean travel time for women is greater than that for men, you could perform a hypothesis test. The null hypothesis would state there is no difference in the commuting times between men and women, while the alternative hypothesis would state that There is a significant difference in mean commute times. You would then use the data findings, such as sample means and standard deviations, to perform an appropriate statistical test, like a t-test, to determine if there is a statistically significant difference between the mean commute times of the two groups.
Concluding if this difference is significant would involve looking at a predefined significance level (like 5% or 10%) and comparing the p-value from the test to this level. If the p-value is less than the significance level, we reject the null hypothesis and can claim there is a significant difference in the mean travel times between men and women.
What is the area of a circle with a diameter of 8 meters (use 3.14 for O
)
Which number is 1/10 as great as 0.7?
Answer:
Step-by-step explanation:
It’s actually 7.
f(t)=10t2+5t+1 . Find the value of t for which the tangent line to the graph of f(t) has slope 1.
The value of t for which the tangent line to the graph of f(t) has slope 1 is -1/5.
The given function is f(t)=10t²+5t+1.
We need to find the value of t for which the tangent line to the graph of f(t) has slope 1.
What is the tangent line to the graph?In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.
Now, f'(t) = slope of the tangent line to the curve at the point (t, f(t)).
Given, f'(t) = 1
f(t)=10t²+5t+1
⇒f'(t)=20t+5
⇒1=20t+5
⇒20t=-4
⇒t=-4/20
⇒t=-1/5
Therefore, the value of t for which the tangent line to the graph of f(t) has slope 1 is -1/5.
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What is the factored form of x2 − 4x − 5?
(x + 5)(x − 1)
(x + 5)(x + 1)
(x − 5)(x − 1)
(x − 5)(x + 1)
The factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ). The correct option is D.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that the quadratic equation is x² − 4x − 5. The value of x will be calculated as:-
x² − 4x − 5 = 0
x² - 5x + x - 5 = 0
x( x - 5 ) + 1 ( x - 5 ) = 0
( x - 5 ) ( x + 1 ) = 0
Hence, the factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ).
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