21. The table shows the fees two bike rental stores charge. For any fraction ofan hour, both stores charge for a full hour, Write and solve an inequality tofind when it is more expensive to rent a bike from City Cyeles,Two Stores that Rent BikesCostCompanyCity CyclesVillage Sports$10 plus $5.25 per hour$25 plus $2.50 per hour
Answers
We will solve as follows:
*First: We write the expressions that describe each company [In order]:
\(cc=5.25h+10\)&
\(vs=2.50h+25\)Here h represents the number of hours.
*Second: We find the interception point:
\(5.25h+10=2.50h+25\)\(\Rightarrow5.25h-2.50h=25-10\Rightarrow2.75h=15\)\(\Rightarrow h=\frac{60}{11}\Rightarrow h\approx5.4545454545\ldots\Rightarrow h\approx5.5\)So, approximately after 6 hours it will be more expensive to rent on City Cicles.
Related Questions
What is zn in the periodic table?
Answers
Answer:
Zn is zinc in the periodic table.
Hope this helps plz hit the crown :D
Answer:
Zn is Zinc, which is #30 on the Periodic Table of Elements.
Step-by-step explanation:
log₂ 16? What is the answer
Answers
Answer:
4 is the correct answer to your question
explanation: 2^?= 16
2^4=16
Subtract the integers. 22−(−10)
Answers
Answer:
32
Step-by-step explanation:
Step 1: change 22 - ( - 10) into 22 + 10
Step 2: solve it like normal
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
Answers
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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Prove that for any natural n: a the number 7^(n+4) −7^n is divisible by 30.
Answers
For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.
What is mathematical induction?An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.
Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.
Let, n = 0.
Therefore,
7⁴ - 7⁰.
= 2401 - 1.
= 2400.
= 30×80, Divisible by 30.
Similarly for n = 1 we have,
7⁵ - 7¹.
= 16807 - 7.
= 16800.
= 30×560.
Hence by induction, the cycle will continue.
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The National Park Service is interested in comparing the amount of money that visitors in two different national parks spend. They sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a _______ design.Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.Your answer:
Answers
Answer:
Analysis for these data will be based on a __survey__ design.
Step-by-step explanation:
A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest. In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend. Visitors are sampled from each park to get the required information. The mean spends are calculated and then compared.
Andre pidió prestado al prestado al banco un capital de 350,000 por lo cual el banco le cobrará un 6%de interés mensual cuánto debe pagar por un mes de interés
Answers
Andre borrowed 350,000 from the bank and the bank will charge him 6% interest per month. To calculate the amount he has to pay for one month of interest, we can use the following formula:
Interest = Capital * Interest rate
In this case, the capital is 350,000 and the interest rate is 6%. So, we can plug in the values:
Interest = 350,000 * 0.06
Interest = 21,000
Therefore, Andre has to pay 21,000 for one month of interest.
What is the slope for (-3, -8) and (-12, -20)
Answers
Answer:
4/3
Explanation:
Given the points (-3, -8) and (-12, -20), let's go ahead and determine the slope(m) of the line using the below slope formula;
\(m=\frac{y_2-y_1}{x_2-x_1}\)From the given points;
\(\begin{gathered} x_1=-3 \\ y_1=-8 \\ x_2=-12 \\ y_2=-20 \end{gathered}\)Substituting the above values into the slope formula, we'll have;
\(m=\frac{-20-(-8)}{-12-(-3)}=\frac{-20+8}{-12+3}=\frac{-12}{-9}=\frac{4}{3}\)Therefore, the slope is 4/3
What is the equation of the line that passes through the point (-4,1) and has a slope of -5/4
Answers
Answer:
y = -5/4x -4
Step-by-step explanation:
slope(m)= -5/4
x1=-4,y1=1
using the formula for one point form
y-y1=m(x-x1)
y-1= -5/4(x-(-4))
y-1 = -5/4x + -5/4 × +4
y - 1 = -5/4x -5
y=-5/4x -5 + 1
y = -5/4x -4.
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what is the length of AB? A(-1,5), B(2,-4)
Answers
Answer:
3 sqrt(10)
Step-by-step explanation:
To find the distance, we use the formula
d = sqrt( ( x2-x1)^2 + (y2-y1)^2)
= sqrt( ( 2- -1)^2 + ( -4-5)^2)
= sqrt( (2+1)^2 +(-4-5)^2)
= sqrt( 3^2 +(-9)^2)
= sqrt( 9+81)
= sqrt(90)
= sqrt ( 9*10)
3 sqrt(10)
A soap company made a batch of 9,550 ounces of liquid dish soap. If the soap is put into 75-ounce bottles, how many full bottles of soap can the company fill?
Answers
Answer
There will be 127 full bottles.
Explanation
The total batch of 9550 ounces of liquid dish soap.
1 bottle = 75 ounces
Let the number of bottles that will take 9550 ounces be n
1 bottle = 75 ounces
n bottles = 9550 ounces
We can write a mathematical relationship by cross multiplying
(75) (n) = (1) (9550)
75n = 9550
Divide both sides by 75
(75n/75) = (9550/75)
n = 127.333 bottles.
This means there will be 127 full bottles.
Hope this Helps!!!
Match each step with the correct ordered description for how to construct a copy of an angle. (There are 10 steps)
Answers
A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
The steps for constructing a copy of an angle:
Step 1: Draw the angle.
Step 2: Place the center of the protractor on the vertex of the angle.
Step 3: Line up the baseline of the protractor with one of the angle's rays.
Step 4: Read the degree measure where the other ray crosses the protractor.
Step 5: Draw a ray from the vertex of the angle to the right.
Step 6: Use a ruler to mark the same distance on the ray that was just drawn.
Step 7: Draw a ray from the vertex through the point just marked on the ray.
This is the copy of the angle's second ray.
Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.
Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.
Step 10: Draw a ray from the vertex through the point where the two arcs intersect.
This is the copy of the original angle.
Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the
compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.
Draws another arc that intersects the previous arc at a point without adjusting the compass.
Draw a second arc that intersects the first arc at another point, keeping the compass latitude.
Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
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Q7. There are five envelopes on a table. Four of the envelopes are marked 8, 2, 4 and 1. You are told that the mean of the numbers on the envelopes is 4. What is the number on the fifth envelope?
Answers
Answer:
5
Step-by-step explanation:
The mean value is simply the average of the numbers.
(8+2+4+1+x)/5=4
15+x=20
x=5
The number on the fifth envelope is 5 if there are five envelopes on a table. Four of the envelopes are marked 8, 2, 4, and 1.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
There are five envelopes on a table. Four of the envelopes are marked 8, 2, 4 and 1.
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
From the data given in the question:
Let x be the number on the fifths envelope:
(8 + 2 + 4 + 1 + x)/5=4
15 + x = 20
x = 5
Thus, the number on the fifth envelope is 5 if there are five envelopes on a table. Four of the envelopes are marked 8, 2, 4, and 1.
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Tell whether the statement is true or false. Explain. If p/q= 3/5 , then 5/p=3/q
Answers
Answer:
THIS IS FALSE.
Step-by-step explanation:
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10. Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
Answers
The equation formed by Preston in slope intercept form is given by
y = 3/2 x - 12.
The slope-intercept form is described here. Analytical geometry teaches us that two distinct points on even a Cartesian plane can be used to produce linear functions.
An unrelated variable is x.
y is a dependent variable.
The coordinates of the known point are x1 and y1.
In m, slope
Since a change in x causes a change in y of 3 and vice versa, the table shows that the function has a slope of 1.5. The line equation using the slope-intercept form is as follows: m = 1.5, x1 = 8, y1 = 0.
y = 1.5 · (x - 8) (x - 8) (x - 8)
And the y-intercept is calculated when x = 0:
y = 1.5 · (0 - 8) (0 - 8) (0 - 8)
y = -12
y = 3/2 x - 12
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What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Assume that when human resource managers are randomly selected, 42% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that at least 2 of them say job applicants should follow up within two weeks.
Answers
The probability of getting exactly k successes out of n trials is given by the binomial probability formula:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the number of ways to choose k successes out of n trials, p is the success probability, and (1-p) is the failure probability.
To find the probability of at least 2 successes out of 5 trials, we need to sum the probabilities of getting 2, 3, 4, or 5 successes:
P(at least 2) = P(2) + P(3) + P(4) + P(5)
P(2) = (5 choose 2) * 0.42^2 * 0.58^3 = 0.3249
P(3) = (5 choose 3) * 0.42^3 * 0.58^2 = 0.1645
P(4) = (5 choose 4) * 0.42^4 * 0.58^1 = 0.0419
P(5) = (5 choose 5) * 0.42^5 * 0.58^0 = 0.0053
P(at least 2) = 0.3249 + 0.1645 + 0.0419 + 0.0053 = 0.5366
Therefore, the probability that at least 2 out of 5 human resource managers say job applicants should follow up within two weeks is approximately 0.5366.
.Anne bought 12 kg of pizza dough to make pizzas. She used 3/5 of the
dough and made 15 pizzas. How many kilograms of dough did she
use for 1 pizza?
Answers
Answer:
Step-by-step explanation:
Annie used \(12\times 3/5=7.2\) kg to make 15 pizzas
He needs 0.48kg of dough to make 1 pizza
Step-by-step explanation:Known :Anne bought 12kg of pizza dough to make pizzasShe used 3/5 of the dough to make 15 pizzasAsked :The amount of kg she use to make 1 pizzaSolution :Dough used = 12 x 3/5
Dough used = 7.2kg
Kg of dough/pizza = 7.2/15
Kg of dough/pizza = 72/150
Kg of dough/pizza = 0.48
Conclusion :He needs 0.48kg of dough to make 1 pizza
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT.What is the solution to the inequality 3+5/7x>1+x?
Answers
Answer:
C: X <= 7
Step-by-step explanation:
Reimagine the inequality as
3 - 1 >= X - 5/7*X
2 >= 2/7*X
1 >= 1/7 * X
7 >= X
The total distance a ball rolls varies directly with the time in seconds. The ball rolls a total distance of 78 centimeters in 6 seconds.
What is the time in seconds the ball rolls when the total distance is 130 centimeters?
10 s
13 s
22 s
25 s
Answers
The time the balls roll when the total distance is 130 cm is 10 seconds.
let
d = total distance the ball rolls
t = time in seconds
The total distance is directly proportional to the time in seconds. Therefore,
d ∝ t
d = kt
where
∝ is the proportionality sign
k = constant of proportionality
when d = 78 cm, t = 6 seconds
Therefore, let's find the constant of proportionality.
k = d / t
k = 78 / 6
k = 13
The constanst of proportionality is known . Now let's find the time(seconds) when d = 130 cm .
d = kt
make t the subject of the formula
t = d / k
t = 130 / 13
t = 10 secs
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plzz hellp this is so hard
Answers
Answer:
the correct answer is 290 / 605
the number 37 is a prime or a composite
Answers
Prime numbers is a natural number greater than one
Prime has only one number that equals that number
For example: 37x1= 37
1x1=1
2x1=2
Answer: 37 is a prime number
Step-by-step explanation:
Iron makes up 4.5% of the Earth's crust. Which is another way to write 4.5% of a value?
Answers
Answer:
0.045 or 9/2
Step-by-step explanation:
The integrated curriculm mode, sometimes referred to as integrative teaching, is both a method of teaching and a way of organising the teaching programme so that many subject areas and skills provided in the curriculum can be linked to one another. Provide an example of how you, as the teacher, could use the content in Social Sciences as a vehicle for mathematical skills development.
Answers
The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.
As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.
Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.
For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.
In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,
the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.
They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.
It enables students to see connections between subjects and fosters an integrated approach to learning.
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A cookie recipe calls for 1/4 of a cup of sugar for one batch. How many complete batches can you make if you have 3 1/3 cups of sugar?
Answers
Answer:
Step-by-step explanation:
none
how many 2/3 quarts portions are in 7 1/3 quarts of soup ?
Answers
Answer:
11 1/4
Step-by-step explanation:
ANSWER= 11 1/4 is your answer
Step-by-step explanation:
A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answers
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
Find the sum 3/5 + 1/8
Answers
Answer:
.725 or 29/40
Step-by-step explanation:
Answer:
0.725
Step-by-step explanation:
in fraction form 29/40
to make one cup of hot chocolate, 1 1/2 tablespoons of hot cocoa mix must be used. if a snack bar wants to make 70 cups of hot chocolate, how much mix will they need?
Answers
Given:
1 cup of hot chocolate = 1½ tablespoons of cocoa mix.
70 cups of hot chocolate = x tablespoons of cocoa mix.
Note that 1½ = 1.5
Let's find how much mix will they need below:
\(\begin{gathered} \frac{1}{1.5}=\frac{70}{x} \\ \text{Cross multiply} \\ x\text{ = 70 }\ast\text{ 1.5 } \\ \text{ = }105 \end{gathered}\)Therefore the amount of hot cocoa mix they will need is 105 tablespoons
ANSWER:
105 tablespoons of hot cocoa mix
Determine the correct order of the numbers from least to greatest. 1.3, -2.875, 6.75, -4, -1.67, -3.75, 3.5
Answers
By definition, the Positive numbers are those numbers greater than zero and Negative numbers are those numbers less than zero.
Therefore, you know that the Positive numbers are greater than the Negative numbers.
For this exercise it is also important to remember that the Absolute value of a number tells you its distance from zero on the Number line. The Absolute value of a number is always positive.
Knowing the above, you can set up that:
\(-4<-3.75<-2.875<-1.67<1.3<3.5<6.75\)Remember that this symbol means "Less than":
\(<\)The answer is:
\(-4,-3.75,-2.875,-1.67,1.3,3.5,6.75\)