Tony rents a bike that costs $4 per hour and $10 for the lock. He has $32 to spend. How long can he rent the bike? Write an equation that represents this situation. Be sure to explain how you got your equation and specify what the variables represent.

Answers

Answer 1

Answer:

5 hours; 4x+10=32

Step-by-step explanation:

4x = 4 multiplied by the amount of hours

10 = the cost for the lock

so y = 4x+10

In this case y= 32 so plug it in

4x+10=32

    -10  -10

4x=22

/4   /4

x=5.5

So assuming you can only rent whole hours, it would be 5 hours

Hope this helps.

Answer 2

Answer:

he can rent the bike for 5 hours

Step-by-step explanation:

32-10=22

22*4=5


Related Questions

What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?

Answers

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

[tex]P = 19x^2 + 15x + 12[/tex]

[tex]D = x -2[/tex]

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

[tex]D = 0[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Substitute 2 for x in the polynomial.

This gives remainder (R)

[tex]R = 19*2^2 + 15*2 + 12[/tex]

[tex]R = 19*4 + 15*2 + 12[/tex]

[tex]R = 76 + 30 + 12[/tex]

[tex]R = 118[/tex]

Hence, the remainder is 118

Simplify each expression, Help plz

Answers

Answer:

I believe that the answer is the second one.

Step-by-step explanation:

a^4/b^5 then add two to each exponent
a^6/b^7

The negative exponents become positive when you switch them to the top or bottom.

Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65. 87.
What is the mean height of Bella's corn stalks?
A 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm

Answers

Answer:

d

Step-by-step explanation:

.................have a great day

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.
f(x) = −one twelfth(x − 5)2 + 2
f(x) = one twelfth(x − 5)2 + 2
f(x) = −one twelfth(x + 5)2 + 2
f(x) = one twelfth(x + 5)2 + 2

Answers

Answer:

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].

Step-by-step explanation:

From statement we understand that parabola has its axis of symmetry in an axis parallel to y-axis. According to Analytical Geometry, the minimum distance between focus and directrix equals to twice the distance between vertex and any of endpoints.

If endpoints are (-5, 5) and (-5, -1), respectively, then such distance ([tex]r[/tex]), dimensionless, is calculated by means of the Pythagorean Theorem:

[tex]r = \frac{1}{2}\cdot \sqrt{[-5-(-5)]^{2}+[5-(-1)]^{2}}[/tex]

[tex]r = 3[/tex]

And the location of the vertex ([tex]V(x,y)[/tex]), dimensionless, which is below the focus, is:

[tex]V(x,y) = F(x,y)-R(x,y)[/tex] (1)

Where:

[tex]F(x,y)[/tex] - Focus, dimensionless.

[tex]R(x,y)[/tex] - Vector distance, dimensionless.

If we know that [tex]F(x,y) = (-5,5)[/tex] and [tex]R(x,y) = (0,3)[/tex], then the location of the vertex is:

[tex]V(x,y) = (-5,5)-(0,3)[/tex]

[tex]V(x,y) =(-5,2)[/tex]

In addition, we define a parabola by the following expression:

[tex]y-k = \frac{(x-h)^{2}}{4\cdot r}[/tex] (2)

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.

[tex]r[/tex] - Distance of the focus with respect to vertex, dimensionless.

If we know that [tex]h = -5[/tex], [tex]k = 2[/tex] and [tex]r = 3[/tex], then the equation of the parabola is:

[tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex]

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].

oredr -3/4, 3/8, -1 1/8, - 1/2 from least to greatest.​

Answers

Answer: -1 1/8 -3/4 -1/2 3/8

A commuter train travels 45 miles in 34 minutes. What is its speed in miles per hour?

Answers

I think the answer is 79.41

What is the perimeter of the figure?

A. 22.0 yd2
B. 21.1 yd
C. 22.0 yd
D. 21.1 yd2

Answers

Answer:

B. 21.1 yd

Step-by-step explanation:

The perimeter of the figure is the sum of all its three sides.

Take note that the dotted line is not a side length of the figure.

The side lengths are 9 yd, 5 yd, and 7.1 yd.

Therefore, the perimeter of the figure = 9 + 5 + 7.1

Perimeter = 21.1 yd.

Also, take note of the unit of the perimeter. Unit of the perimeter would not be squared. Only area has a unit that is squarred.

3x = 8
3x + y = 15

???

Answers

3x=8

Solve for x by dividing by 3 on both sides

x=8/3

Now plug 8/3 in for x in second equation

3(8/3)+y=15

This gives you

8+y=15

Subtract by 8 on both sides to find y

y=8

Now write it in ordered pair form (x,y)

So your answer is (8/3,8)

Determine if this data is an example
of a function.
(-2,5); (0, 3); (-2, 8); (1, 14)
Relation
Function

Answers

Answer:

Step-by-step explanation:

it is not a function because -2 has two y values

Apply the distributive property to the expression to write an equivalent expression.


5x + 35


Complete the statements.


Find the GCF of

.

Now, factor out the GCF by dividing each term in the expression by

.

5x divided by the GCF is

, and 35 divided by the GCF is

.


The equivalent expression is

.




SOMEONE PLS HELP I'M. DYING PLS

Answers

5 • 30 = 150 5•5= 25 so 175x 175x / 5x = 35

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

3(x+5) +2(2x+3)=0 solveeeeeeeeeeeedddddddddedddddd

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 3 (x+5)+2 (2x+3)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+15+4x+6=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4x+15+6=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7x+21=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7x=-21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-21}{7}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-3 [/tex]

[tex]\maltese{\underline{\boxed{\bf {x=-3}}}}[/tex]

y - 2/5 = 1 3/5 (plz show work)

Answers

Answer:

y=2

Step-by-step explanation:

that's the answer hope u understand it

Answer:

[tex]y = 2[/tex]

Step-by-step explanation:

Sure.

[tex]y - \frac{2}{5} = 1 \frac{3}{5} \\[/tex]

Convert to improper fraction

[tex]y - \frac{2}{5} = \frac{8}{5}[/tex]

Combine like terms

[tex]y - \frac{2}{5} = \frac{8}{5} \\[/tex]

[tex]+\frac{2}{5}[/tex] from both sides

[tex]y = \frac{8}{5} + \frac{2}{5} \\y = 2[/tex]

Love from Nepal :)

PLZ HELP ASAP (This is not a text or an exam)

Answers

Answer:

x=4

Step-by-step explanation:

As the two angles are clearly congruent because of the bisector, we set them equal to each other:

7x=3x+16

4x=16

x=4

Therefore, the value of x is 4 and not 9

What is the factored form of the equation 4x^2-11+6=0

Answers

Answer:

(4x−3)(x−2)=0

Step-by-step explanation:

Step-by-step explanation:

4x²-11+6=0

4x²-5=0

x²=5

4

x=√5

4

hope it help u

Erica makes $27 an hour how much does ahe make in 140 hours​

Answers

$27*140=

$3780 is your answer

Answer:

$3,780

Step-by-step explanation:

27*140=3780

How to reduce 0.35 to the lowest term

Answers

0.35 is equivalent to 7/20

The data from the U.S. Census Bureau for 1980-2010 shows that the median weekly earnings of full-time


male employees who have at least a bachelor's degree can be modeled by the function


M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6 where x Is the number of years after 1980 and M(x) Is the


median weekly earnings in dollars. The median weekly earnings of all full-time employees who have at


least a Bachelor's degree can be modeled by the function T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3 where


x Is the number of years after 1980 and T(x) Is the median weekly earnings in dollars.


Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in


2006. Round to the nearest dollar.


The median weekly earnings of a female employee in 2006 is about

Answers

Answer:

890.908

Step-by-step explanation:

Given that :

Median weekly salary for males :

M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6

x = number of years after 1980

Median weekly salary for all employees :

T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3

Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006

Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)

F(x) = T(x) - M(x)

F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)

F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)

F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7

x = 2006 - 1980 = 26

F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7

0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908

=

answer in percent 20/80 = x/100

Answers

25
Hope this helps H

Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.

Answers

Answer:

We can only take positive number , Because negative is always smaller than positive.

We can take ,

6 + 6 = 12 .

6 x 6 = 36.

Where both are largest numbers possible.

Thus, the answer is 36.

The required pair of values which gives a sum of 12 and the largest product is 12

For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.

11 and 1 = (11 × 1) = 11

10 and 2 = (10 × 2) 20

9 and 3 = (9 × 3) = 27

8 and 4 = (8 × 4) = 32

7 and 5 = (7 × 5) = 35

6 and 6 = (6 × 6) = 36

From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.

Learn more : https://brainly.com/question/10905928

A charity sells tickets for a fundraising dinner. Each adult's ticket cost $10 and each child's ticket cost $5. A total of $1050 was raised by selling 130 tickets. How many adult and child tickets were sold? Let x represent the number of adult tickets and y represent the number of child tickets.
Number of Adult Tickets Sold =
Number of Child Tickets Sold =

Answers

Answer:43

Step-by-step explanation:

You are given the explicit formula below. Identify if will produce an arithmetic or geometric sequence. Also identify the common difference or common ratio

f(n) = 25(4)^n-1

1. Geometric, common ratio of 1/4

2. Geometric, common ratio of 4

3. Arithmetic, common ratio of 25

4. Arithmetic, common ratio of 4

Answers

Answer:

2. Geometric, common ratio of 4

Step-by-step explanation:

Given is the exponential function which  is a geometric sequence

It has common ratio of 4

Correct answer option:

2. Geometric, common ratio of 4

Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?

Answers

Answer:

14.5 feet

Step-by-step explanation:

the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2

Answer:

7.5 m above sea level

__________________________________________________________

Step-by-step explanation:

We are given:

The elevation of Homer = -30 feet                         [30 feet below sea level]

The elevation of Marge = +45 feet                         [45 feet above sea level]

The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

The elevation of Bart:

We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

So, Half the distance between the elevation of Homer and Marge is the elevation of Bart

Elevation of Bart (with respect to the elevation of Homer) =

(elevation of Marge - Elevation of Homer) / 2

replacing the variables with the suitable values:

(+45 - (-30))/2

(45 + 30) / 2

75 / 2

Elevation of Bart (w.r.t. Homer) = 37.5 feet

Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer

So, we can say that:

Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer

replacing the values

37.5 = Elevation of Bart -(-30)

37.5 = Elevation of Bart + 30

Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]

What is the simplest form of 1.764?

0 21
0 42
0 3²(7²)
22(32)(74)

please explain why because I don’t want someone to guess this is kinda important, ty

Answers

Answer:

[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]

Step-by-step explanation:

Divide by the prime numbers in increasing order until you find all the prime factors.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17

1764/2 = 882

882/2 = 441

441/3 = 147

147/3 = 49

49/7 = 7

7/7 = 1

[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]

I WILL GIVE BRAINLIEST
Rewrite 12x + 3y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Answer:

12x + 3y = 6 in slope-intercept form.y = -4x+2m = -4b =(0,2)

About 50% of babies born with a certain ailment recover fully. A hospital is caring for six babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.(a) Is the experiment a binomial experiment?⪠Yes⪠No(b) What is a success in this experiment?⪠This is not a binomial experiment.⪠Baby recovers⪠Baby doesn't recover(c) Specify the value of n.A. n = _____B. This is not a binomial experiment.(d) Specify the value of p.A. p = _____B. This is not a binomial experiment.

Answers

Answer:

a. yes it is a binomial experiment

b. success is that baby recovers

c. n = 6

d. p = 0.5

e. q = 0.5

f. X: 0,1,2,3,4,5,6

Step-by-step explanation:

a.

the answer is yes this is a binomial experiment. This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.

b.

success: baby recovers

c.

n = number of babies born with ailment. n = 6

d.

p = 50% = 0.5

e.

q = 1-p = 1-0.5

q = 0.5

f.

possible values of X: 0,1,2,3,4,5,6

What type of transformation has occurred?
A Translation
B Dilation
C Reflection
D Rotation

Answers

Answer:

B dilation

Step-by-step explanation:

the shape didnt move but it got bigger

There are 36 doughnuts in 3 boxes.
How many doughnuts are in 7 boxes?

Answers

Answer:

x=84

Step-by-step explanation:

[tex]\frac{36}{3}=\frac{x}{7}[/tex]

(cross multiply)

252=3x

(divide both sides by 3)

x=84

ucjvlvjcyxgxjglhlchzfzhckcj​

Answers

Answer:

Huhuhuhhuh?!!!

Step-by-step explanation:

LOL.. What's that?

Answer: approximately oihfviauegfvyabgfiubaqvuoa

Step-by-step explanation:

first you gotta ohgnvailuerfhivlugehiuvlh the fepoghvapirugv93hrv9igp

then once thats done you edjfahuilurevh the p8eufhavipuhgfv8i7uh to the rfugvhligauerhgiuvlwhreaoiuvh

finally, you ifujevhoaiug the iujhfliauerhgifu with the oifuhewiuasrhfi and uirjewg it to the iudfhvailkvkaebrfvilhjb, and you get your answer

need help on this 1 its really hard but i stilll can get it please help

Answers

Answer:

A.

92%

Step-by-step explanation:

What is the difference between an expression and an any quality

Answers

Answer:

A expression is a number, variable, or a combination of numbers and variables and operation symbols. A equality is a relationship between 2 quantities or more . Hope it helps:)))

Step-by-step explanation:

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