Answers
EQUATION:
$13.25>$1.75h + $8 fee
subtract 8 from both sides
5.25>1.75h
divide both sides by 1.75
3>h
He can rent the bike for 3 hours and not spend more than $13.25
Hope this helps! :)
y=mx+b
Initial cost=initial value = b = 8 (Q did not say $8 is for any rental time).
additional cost per hour = m = 1.75
Equation becomes
y=1.75x+8
If the maximum charge is y=13.25, then we can solve for x, the maximum number of hours to be rented,
13.25=1.75x+8
Subtract 8 from each side
13.25-8=1.75x
5.25=1.75x
divide by 1.75
5.25/1.75=x
x=3
Connor can rent the bike for at most 3 hours.
Related Questions
the average airspeed velocity of an unladen European swallow is approximately 24 miles per hour at this rate how many hours will it take to swallow to fly from Appin to Glen Coe about 18 Miles??
Answers
[tex]x = \frac{18}{24} = 0.75 [/tex]
So, it would take him:
[tex]0.75(60) = 45[/tex]
So, it will be 45 mins.
Select the statements that are true for the graph of y = −(x−0.5)^2+9
1. The graph has a minimum.
2. The graph has a maximum.
3. The vertex is (0.5, 9) .
4. The vertex is (−0.5, 9)
I NEED THIS DONE BY 1:30 2/22/2018 THANK YOU! (:
Answers
The true statements are
2. The graph has a maximum.3. The vertex is (0.5, 9) How to determine the true statement?The equation of the function is given as:
[tex]y = -(x - 0.5)^2 + 9[/tex]
Because the leading term is negative, then the equation has a maximum
This is represented by the first minus sign in [tex]y = -(x - 0.5)^2 + 9[/tex]
The function can also be represented as:
[tex]y = a(x - h)^2 + k[/tex]
Where:
Vertex = (h,k)
So, we have:
Vertex = (0.5,9)
Hence, the true statements are (2) and (3)
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If the APY of a savings account is 3.2%, and if the principal in the savings account was $2400 for an entire year, what will the balance of the savings account be after all the interest is paid for the year?A. $2400
B. $2406.24
C. $2600
D. $2476.80
Answers
Answer:
The answer is $2476.80 Apex
Step-by-step explanation:
What is the slope of a line that is parallel to the line represented by the equation?
y= -2/5x + 4/5
Answers
Answer:
y= -2/5x + 4/5
The slope is -2/5
1. A rectangular prism is defined as the drawing shows. Note B at (0, 5, 0) and F (0, 0, 4). The prism is reflected over the xz-plane. The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
a.) Show the results of your calculations for points A, B, C and D from the reflection.
b.) Show the results of your calculations for points A, B, C and D from the translation.
Answers
A (0,0,0)
B (0,5,0)
C (3,5,0)
D (3,0,0)
E (3,0,4)
F (0,0,4)
G (0,5,4)
H (3,5,4)
a.) The prism is reflected over the xz-plane.
Reflection Point P(x,y,z) over the xz-plane is P'(x,-y,z):
Reflection P(x,y,z) over the xz-plane → P'(x,-y,z)
Reflection A(0,0,0) over the xz-plane → A'(0,-0,0) = A'(0,0,0)
Reflection B(0,5,0) over the xz-plane → B'(0,-5,0)
Reflection C(3,5,0) over the xz-plane → C'(3,-5,0)
Reflection D(3,0,0) over the xz-plane → D'(3,-0,0) = D'(3,0,0)
b.) The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
Translation P'(x,-y,z) 2 units back, 3 units left, and 1 unit up is P''(x-2,-y-3,z+1):
Translation P'(x,-y,z) → P''(x-2,-y-3,z+1)
Translation A'(0,0,0) →A''(0-2,0-3,0+1) = A''(-2,-3,1)
Translation B'(0,-5,0) →B''(0-2,-5-3,0+1) = B''(-2,-8,1)
Translation C'(3,-5,0) →C''(3-2,-5-3,0+1) = C''(1,-8,1)
Translation D'(3,0,0) →D''(3-2,0-3,0+1) = D''(1,-3,1)
1.The sales tax rate in a certain state is 8%. How much would you pay in total for a taxable item that costs $25.25?
2.Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
3.Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
4.An auctioneer sold items totaling $42,000. If her rate of commission was 7%, what was her income from commissions?
5.At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
6.People sometimes use credit cards to purchase items they can’t afford to pay for at the moment of purchase. If you’re one of these people, you should know that the monthly finance charge on credit purchases is based on percent. Let’s say you have an outstanding balance of $800 on your credit card. The credit card company charges 1.6% per month. What finance charge will you have to pay for one month?
Answers
P = r x b
where: P = Percentage (Portion)
r = rate
b = base amount
1. Your given for number 1 is as follows:
rate = 8%
Base amount = $25.25
You are looking for how much you would pay in total. First you need to find out how much your going to pay in taxes, based on the base amount. To get that, you need to convert the rate in its decimal form by dividing it by 100.
rate = 8/100 = 0.08
Next you need to find how much you will pay in taxes, you can do that by using the formula:
P = r x b
= 0.08 x $25.25
= $2.02 This is how much you will pay in taxes.
To get the total amount you will pay, just add it to the original price:
$25.25 + $2.02 = $27.27
2. Your given will be:
p = 20
b = 25
r = ?
All you have to do is input what you know in the formula:
P = r x b
20 = r x 25
Transpose the 25 to the other side of the equation to get the rate and divide:
20/25 = r
0.8 = r
For this case it is asking for the rate in percent, all you need to do is multiply your computed rate by 100% and you will get 80%.
3. If your given would be:
P = $42.00
r = 70%
b = ?
Base is the unknown here, because you are looking for the original price. So we put this into our equation again:
$42.00 = 0.70 x b
Transpose the 0.70 to the other side of the equation again and divide:
$42.00/0.70 = $60.00
The original price was $60.00
4. The given would be:
P = ?
r = 7% or 0.07
b = $42,000
We are looking for how much he got, or the portion he got, so we are looking for the percentage. Input what you know into our formula:
P = 0.04 x $42,000
= $2,940.00
6. Your given would be as follows:
P = ?
r = 1.6% or 0.016
b = $800
You are looking for how much you would pay in finance charge, or the portion that will be added, based on your base amount so you will be looking for the percentage. Input your given into the formula:
P = 0.016 x $800
= $12.80
As for number 5, that is a trick question. The prices are different and no matter what formula you will use, you will not come up with a mathematical sound answer. Consider the situation, what can you buy in local hardware store that has 1, 12, and 144? The answer is HOUSE NUMBERS.
2. 80%
3. $60
4. $2,940
5. Ms. Jones was buying house numbers. Her house number was 112144. Each separate number would cost $.50. Therefore, the number 1 would cost $.50, the numbers 1 and 2 (12) would cost $1.00, and the numbers 1, 4, and 4 (144) would cost $1.50.
6. $12.80
In which situation is the original price bigger? (A) after a 5% discount the price was $190; (B) after a 10% discount the price was $180; (C) after a 20% discount the price was $170; (D) after a 30% discount the price was $140.
Answers
Answer:
C
Step-by-step explanation:
Calculate each one of them to see which one is highest:
a)190/.95 = 200
b) 180/.9 = 200
c)170/.8 = 212.5
d)140/.7 = 200
A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?
Answers
the Volume of the cone=(1/3)*B*h
B= area of the base
h= height of the pyramid------> 45 cm
then
B=pi*r²=pi*12²=452.16 cm²
V=(1/3)*[452.16*45]=6782.4 cm³
the answer is 6782.4 cm³
Answer:
6782.4 π cm³
Step-by-step explanation:
I took the test and got it right!
Phillip flips a coin, rolls a standard number cube, and randomly chooses a shape from the list below. Find the probability that the coin will show tails, the cube will show an odd number, and a red shape will be chosen. 1/6 1/2 None of these 1/12 1/8 HELPPP PLZ TODAY!!!!
Answers
Answer:
thx for pts
Step-by-step explanation:
A smartphone originally worth $790 loses value at a rate of $175 each year.Write an equation to represent the value of the phone, then find value of the phone after 4years.Identify your variables
Answers
take 175 and multiply it by 4 which gives you 700
Then subtract 700 from 790 and you get $90 after 4 years.
Your variables are 175 and 4
Final answer:
The value of the smartphone after 4 years is calculated using the linear equation V = 790 - 175t, resulting in a value of $90.
Explanation:
The smartphone's value decreases by $175 each year. To represent the value of the phone after a certain number of years, we can use a linear equation. Let V be the value of the smartphone after t years, where V is in dollars and t is the number of years.
The original value of the smartphone is $790, so the equation to represent the value over time is:
V = 790 - 175t
After 4 years, the value of the smartphone would be:
V = 790 - 175(4)
V = 790 - 700
V = $90
Therefore, the value of the smartphone after 4 years is $90.
3/4,19/20,1/6,3/5,8/15 what is lcd
Answers
.. 4 = 2^2
.. 5
.. 6 = 2*3
.. 15 = 3*5
.. 20 = 2^2*5
is 2^2*3*5 = 60
The lowest common denominator is 60.
which expressions are polynomials
A) 20x^2
B)20x^2/y
C)20x^2+y^1/2
Answers
The explanation is shown below:
1. The polynomials can't have:
- Fractional exponents.
- Variables in the denominator.
2. As you can see, the option B) 20x^2/y has the variable "y" in the denominator, Therefore, it is not a polynomial.
3. The option C) 20x^2+y^1/2 has a fractional exponent, so it is not a polynomial.
The answers are : 20x^2 and 20x^2 + y^1/2
I just took the test I promise those are the correct answers.
The scale on a map is 1 cm:35 mi. The distance on the map between Los Angeles, CA, and San Francisco, CA, is 10.8 cm. What is the actual distance between Los Angeles and San Francisco?
Answers
this is answer
Step 1: Let us assign variable for the unknown that we need to find.
' x ' be the actual distance between Los Angeles and San Francisco
Step 2: Set up an equation based on the given statement "The scale on a map is 1 cm:35 mi. The distance on the map between Los Angeles, CA, and San Francisco, CA, is 10.8 cm."
[tex] \frac{distance \; in \; cm}{distance\; in\; miles}=\frac{1}{35}=\frac{10.8}{x} \\ \\ Cross \; Multiply\\ \\ 1 \cdot x = 35 \cdot 10.8\\ \\ x = 378 [/tex]
Conclusion:
The actual distance between Los Angeles and San Francisco is 378 miles.
which word phrase represents the following expression r ÷ 6 ?
Answers
Answer : The correct phrase used is, r is divided by 6.
Step-by-step explanation :
We are given an expression :
r ÷ 6
The word used for subtraction operation is 'less'.
The word used for multiplication operation is 'times'.
The word used for division operation is 'divided by'.
Thus, the verbal sentence for given equation is, r is divided by 6.
The percentage of high school students who drink and drive stood at 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.† (a) find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 20
Answers
1) The linear function : f(t) = -0.72t + 17.5
2) When t = 14 the value is 7.42
Part A
For this case we have the following information given:
t= 2001 (0) f(0)= 17.5%
t= 2011 (10) f(10)= 10.3
Slope= [tex]\frac{10.3-17.5}{10-0}[/tex]
10.3 = -0.72*10 +b
b= 10.3 +10*0.72
= 17.5
Then the equation is:
f(t) = -0.72t + 17.5
Part B
For 2015 the value of t = 2015-2001
= 14
Substitute in function,
f(14)= -0.72×14 + 17.5
= 7.42
Know more about linear functions,
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Complete question:
The percentage of high school students who drink and drive was 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.†(a) Find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 2001.f(t) = (b) If the trend continued, what was the percentage of high school students who drank and drove at the beginning of 2015? %
To find the linear function that represents the percentage of high school students who drink and drive in a given year, we can use the slope-intercept form of a linear equation. We can determine the slope and y-intercept by using the given data points. The linear function is f(t) = -0.82%t + 17.5%.
Explanation:To find a linear function f(t) giving the percentage of high school students who drink and drive in year t, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the percentage of students who drink and drive, and t represents the year. We know that at the beginning of 2001 (t=0), the percentage was 17.5%, and at the beginning of 2011 (t=10), the percentage was 10.3%. Using this information, we can find the slope (m) and the y-intercept (b) of the linear function.
Step 1: Calculate the slope (m):
m = (y2 - y1) / (t2 - t1) = (10.3% - 17.5%) / (10 - 0) = -0.82% per year.
Step 2: Substitute one of the points and the slope into the slope-intercept form to find the y-intercept (b). Using the point (0, 17.5%):
17.5% = -0.82%(0) + b
b = 17.5%.
Therefore, the linear function f(t) is: f(t) = -0.82%t + 17.5%.
what is the word form and the expanded form of 427.968?
Answers
400 + 20 + 7 + .900 + .060 + .008
I hope this helps!
The word form is four hundred twenty-seven and nine hundred sixty-eight thousandths, and the expanded form is 400 + 20 + 7 + 0.900 + 0.060 + 0.008
The number is given as: 427.968
To expand, we make use of the addition arithmetic operator.
So, we have:
[tex]\mathbf{427.968 = 400 + 20 + 7 + 0.900 + 0.060 + 0.008}[/tex]
Hence, the expanded form of 427.968 is 400 + 20 + 7 + 0.900 + 0.060 + 0.008
In the expanded form above, we have the following numbers:
400 - Four hundreds.20 - Twenty.7 - Seven.0.900 - Nine tenths.0.0600 - Six hundredths.0.008 - Eight thousandths.Combine the above words to give four hundred twenty-seven and nine hundred sixty-eight thousandths.
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Kellie called six friends with each call lasting 8 1/2 minutes. how long was Kellie on the phone
Answers
8 1/2 = 8.5 as a decimal
Multiply the number of friends Kellie called (6) by how long each call lasted (8.5 minutes):
8.5 * 6 = 51
A N S W E R:
Kallie was on the phone for 51 minutes.
A circular city park has a sidewolk directly through the rmiddle that is 111- feet long. I each bag of fertilizer covers 50 square feet, then determine how many bags of tertilizer the Parks and Recreation department needs to use to cover the circular park. Ignore oll the sidewalks around and through the park.
Answers
.. A = (π/4)d^2
.. = (π/4)*(111 ft)^2 ≈ 9676.9 ft^2
The number of bags of fertilizer required will be
.. (9676.9 ft^2)*(1 bag)/(50 ft^2) = 193.5 bags
Parks & Rec needs to use 193.5 bags of fertilizer to cover the park.
_____
No doubt, P&R has half a bag left over from a previous use of fertilizer in the park, so they will not have to purchase a whole bag to cover the fraction.
Which simplified equation is equivalent to the equation shown below?
4x+x-3-9+4x=6
a.5x-8=6
b.-3x=6
c. 9x-12=6
d. 8x-12=6
Answers
9x-12=6
Answer C
We need to group the like terms and combine like terms to get the simplified equation.
[tex] 4x+x-3-9+4x=6\\ \\ Step \; 1: \; Group \; like\; terms\\ \\ 4x+x+4x-3-9=6\\ \\ Step \; 2: \; Combine \; like\; terms\\ \\ 9x-12=6 [/tex]
Conclusion:
Option C is the right answer !!
The length of a rectangle if the length is twice the size of the width increased by one
Answers
The length of a rectangle if the length is twice the size of the width increased by 1 is it one of the following answers:
A) l= 2w-1
B) l= 2w+1
C) l= 3w
D) none of the choices given
Let
l--------------> length of a rectangle
w-------------> width of a rectangle
we know that
if the length is twice the size of the width increased by 1
l=2w+1
the answer is the option B) l= 2w+1
last year, marys vegetable garden was a rectangle that measured 6 ft by 8 ft. If she wants to increase the size this year by a scale factor of 2. the measurements should be ____ ft by 16 ft
Answers
Name the digits of pi. At least 50
Answers
The first 50 digits of pi are 3.14159265358979323846264338327950288419716939937510.
The digits of pi (π) extend infinitely and do not repeat in any known pattern, which makes this number a mathematical constant and an irrational number. Pi is crucial in various mathematical formulas, including those used to calculate the area and circumference of a circle.
Here are the digits of pi to 50 decimal places: 3.14159265358979323846264338327950288419716939937510.
The line plots show the number of hours two different age groups of teenagers spent online the previous week.
Two line plots, both are labeled from twelve to thirty six going by ones underneath the line plot. The top line represents Hours spent online parenthesis ages thirteen to fifteen parenthesis. There are three Xs over twenty eight, two Xs over twenty seven and one X over twenty one, twenty four, twenty six, thirty one and thirty four. The bottom line represents Minutes spent online parenthesis ages sixteen to eighteen years old parenthesis. There are four Xs over twenty eight and one X over twelve, twenty one, twenty seven, thirty point five, thirty four, thirty five and thirty six.
Select from the drop-down menus to complete each statement.
The range is . The mean
Answers
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
[tex]\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4[/tex]
The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
[tex]\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95[/tex]
Answer:
Step-by-step explanation:
The range is greater for data set 1 ( 13- to 15-year old ).
The mean is the same for both data sets.
What is the value of x?
Enter your answer in the box.
x=
Answers
3x + 50 = 6x - 10
3x - 6x = -10 - 50
-3x = -60
x = 20
The answer is x=20.
a triangle has two sides of lengths 4 and 15. what value could the length of the third side be?
Answers
4+15 = 19; 4 + 19 = 23; 15 + 19 = 34.
19 is a possible answer.
4 + 15 = 19; 15 + 15 = 30
15 is a possible answer.
4 + 15 = 19; 4 + 13 = 17; 15 + 13 = 28
13 is a possible answer.
4 + 12 = 16; 4 + 15 = 19; 15 + 12 = 27
12 is a possible answer.
4 + 11 = 15; 4 + 15 = 19; 11 + 15 = 26
11 is a possible answer.
15 + 4 = 19; 4 + 4 = 8
4 is NOT a possible answer because 4 + 4 is less than 15.
Hope this helps =)
Answer: The answers are 12, 15, 13
Step-by-step explanation:
PLEASE HELP 30 POINTS!!!!!!!!
Without graphing the lines to the equations, given any two linear equations explain how you can tell if the lines of the two equations are parallel.
Answers
Suppose given an isosceles triangle with a leg measuring 5 in. Two lines are drawn through some point on the base, each parallel to one of the legs. Find the perimeter of the constructed parallelogram.
Answers
Let ΔABC be isosceles triangle with legs AB=BC=5 in. Draw an arbitrary point D on the base AC and spend two lines DE and DF such that DE || BC and DF || AB.
You get the parallelogram BFDE.
1. Consider ΔAED. This triangle is isosceles, because ∠ADE≅∠ACB as corresponding angles at parallel lines. The legs of this triangle are AE=ED.
2. Consider ΔDFC. This triangle is isosceles, because ∠FDC≅∠BAC as corresponding angles at parallel lines. The legs of this triangle are DF=FC.
3. Find the perimeter of parallelogram BFDE.
[tex]P_{BFDE}=BF+FD+ED+BE.[/tex]
Since AE=ED and DF=FC, you have that
[tex]P_{BFDE}=BF+FC+AE+BE=AB+BC=5+5=10\ in.[/tex]
Answer: 10 in.
a blank is a number that uses place value and a decimal point to show a value less than 1 search as tenths and hundredths
Answers
scientific notation?
Create a system of linear equations that has the solution (3,5)?
Answers
Answer:
x + 2y = 133x - y = 4Step-by-step explanation:
I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in standard form.)
_____
Check
3 +2·5 = 3 +10 = 13 . . . first equation works
3·3 -5 = 9 -5 = 4 . . . . . second equation works
The answer should be a fraction
Answers
4y2/5y3..
now apply the exponent rule, which is : xa /xb = 1/ xb-a
so...y2/y3 = 1/ y3 - 2 = 1/y
ANSWER : 4/5y
The correct answer to your question is... [tex] 2^{3} y^{5} [/tex]
Evidence:
Step 1: Simplify [tex] y^{2} [/tex]/5
( 40 multiplied by [tex] y^{2} [/tex]/5 multiplied by [tex] y^{3} [/tex] )
Step 2: [tex] y^{2} [/tex] multiplied by [tex] ^{3} [/tex] = y(2 + 3) = [tex]y^{5} [/tex]
So the correct answer is... [tex] 2^{3} y^{5} [/tex]
I hope this helped! : )
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