Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.

Answers

Answer 1
Answer:
He can buy 3 outfits
Step-by-step explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.

Related Questions

Solve the following equation: *

Answers

Answer:

Step-by-step explanation:

x/3 + 6 = 17

Bringing like terms on one side

x/3 = 17 - 6

x/3 = 11

Dividing by 3 on both sides

x = 11/3

22% of _ peaches is 11 peaches

Answers

I’m pretty sure it’s 50 peaches

https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do

Answers

Answer:

so fun and amazing!

Step-by-step explanation:

Need the answer for x and y

Answers

Answer:

How many molecules of water are there in 10 lbs of water?

Step-by-step explanation:

Answer:

x = 15

AC = 95

Step-by-step explanation:

6x + 5 = 8x - 25

combine like terms:

2x = 30

x = 15

AC = 95

One third is equivalent to what number over 12?

Answers

Answer:

4/12

Step-by-step explanation:

1/3=x/12

using the butterfly method you see that

12=3x

and when solved you get

x=4

giving you

4/12

Also multiply 1/3 by 4 on each side

One third is equivalent to 4 over 12.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Let the unknown number be x.

Here, 1/3 = x/12

Multiply both the numerator and denominator of 1/3 by 4, we get

4/12

So, 4/12 = x/12

x=12

Therefore, the unknown number is 12.

To learn more about the fraction visit:

brainly.com/question/1301963.

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Find the value of x

Answers

B

as a traingle is 180 degrees

2x+72=180
2x=180-72
2x=108
x=108/2
x=54 degrees

Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many students at Midwood High School are left-handed?
A.21 students
B.210 students
C.140 students
D.12 students

Answers

Answer:

21 students because 3% = 0.03 . When you multiply 0.03 by 700, you get 21.

Answer:

[tex] \frac{3}{100} \times 700[/tex][tex]3 \times 7[/tex][tex]21[/tex]

there are total 21 left handed students in the school.

log 3x^2y fully expanded

Answers

Answer:

6xy

Step-by-step explanation:

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

x = 2

Step-by-step explanation:

a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.

Answers

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

What is distance?

"It is the length of the line joining the two points."

Angle properties:

In any triangle,

the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

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Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

what is the slope of 4x-3y=18

Answers

Answer:

Look below

Step-by-step explanation:

[tex]4x-3y=18\\-3y=18-4x\\y=4/3x-6[/tex]

Answer:

Slope: 4/3

y-intercept: -6

What is the area of the school crossing sign represented below?
15 inches 15 inches
15 inches
15 inches
help me plsss

Answers

C. 675 square inches

"A driving instructor is investigating whether the time a driver spends in a driverâs education course improves their score on the driverâs test. The instructor randomly selected 10 drivers from a driverâs education course and recorded the number of hours each driver attended the driverâs education course and their corresponding score on the driverâs test. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?"

a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference

Answers

Answer:

e. A matched pairs t-test for a mean difference

Step-by-step explanation:

When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.

Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .

When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.

Please help will give brainliest

Answers

Answer:

A+B=180°(linear pair)

a+ 52°=180°

a=180°-52°

a=128° is your answer


The population of a country has been increasing for several decades. In 1990, the population was about 263 million people In 2014, the population was about 307 million people Determine the percent in + The country's population increased by about % during this time period


Answers

Answer:

The country's population increased by about 16.73% during this time period.

Step-by-step explanation:

Percent increase:

The percent increase is given by the change multiplied by 100 and divided by the initial value.

In 1990, the population was about 263 million people In 2014, the population was about 307 million people.

Change: 307 - 263 = 44

Initial population: 263

Percentage increase:

44*100/263 = 16.73%

The country's population increased by about 16.73% during this time period.

WHAT IS 3/20 IN DECIMAL AND PERCENTAGE

Answers

0.15 or 15%. .........

What is the unit rate for the following rate: 5 pounds of potatoes costs $10


Answers

Answer:

$2 per round of potatoes

Step-by-step explanation:

$10/5 pounds of potatoes= $2

Which of these forms a perfect square: Select all expressions that are prefect squares. Group of answer choices (a+3)(3+a) (a+b)(b+a) (2x-1)(2x+1) (x+5)(x+5) (-9+c)(c-9) (y-10)(10-y) (4-3x)(3-4x)

Answers

Answer:

Step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

\frac{sb}{cs} = \frac{ra}{cr} ← substitute values

\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

1. Which of the following is not a true statement?

Group of answer choices

Angle 1 and Angle 3 are supplementary angles.

Angle 2 and Angle 7 are congruent

Angle 5 and Angle 8 are congruent.​

Angle 3 and Angle 7 are supplementary angles.

Answers

[tex]\bf{Hello!}[/tex]

Angle 3 and Angle 7 are supplementary is the wrong statement

Because, they are corresponding angles and they are equal.

ok soo ima need help !! {re-posting this one}


question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48

Answers

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots

Answers

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

Determine which polynomial is a perfect square trinomial. Explain your answer.

Group of answer choices
A. 49x2 − 28x + 16
B. 9a2 − 30a + 25
C. 25b2 − 45b − 81
D. 16x2 − 24x − 9

Answers

Answer:

The answer is B. 9a2-30a+25

Step-by-step explanation:

First of all, the second sign is going to be +, so you can toss out C and D without checking.

Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.

sqrt(49) * sqrt(16) = 7 * 4 = 28

28 * 2 = 56

56 <> 28

So toss A.

sqrt(9) * sqrt(25) = 3 * 5 = 15

15 * 2 = 30

So the answer is B

(3a - 5)^2 = 9a^2 - 30a + 25

By the way, use ^ to indicate an exponent.

) Cars are parked in line as they come off the assembly lines. There are three models: red cars which take up 2 spaces, blue cars which also take up 2 spaces, and green cars which take up only 1 space. Let an be the number of ways of filling the first n parking spaces with red, blue and green cars.

Answers

Answer:

Hello your question has some missing information below is the complete question

answer :

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

Step-by-step explanation:

Red car and Blue car take up 2 spaces each

Green cars take up 1 space

lets determine the number of ways of filling up the parking spaces

i) First lets assume the last space is filled by Green car then there will be [tex]n^{th}[/tex] space occupied hence there will be ( n - 1 ) spaces left to be filled in [tex]a_{n-1}[/tex] ways

ii) lets assume the last space is filled by either a Red car or a Blue car then there will be [tex]n^{th} + ( n -1 )^{st}[/tex]  parking space occupied hence there will be

( n - 2 ) spaces left to be filled in [tex]a_{n-2}[/tex] ways

Hence A closed formula for [tex]a_{n}[/tex]

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

where : a1 = 1 way ,  a2 = 3 ways

Evaluate the expression for x = 2 and y = 4 . (x ^ 5 * y ^ 7) / (x ^ 3 * y ^ 5) numbers only

Answers

Answer:

Answer is 64.

Step-by-step explanation:

524288/8192 = 64

Nicole received the following scores on her last 10 math assignments.

Answers

Answer: 89

Step-by-step explanation:

right on edge

Hi, I need the are to this question, I just need to show my work btw​

Answers

what is the question?

Amy needs to estimate how many students at her school like online testing. She needs to create a random sample of students. How should Amy collect her sample? Select two that apply.
O Amy should ask every 10th person leaving the school at the end of the day.
O Amy should ask 3 people at every table in the cafeteria
O Amy should ask her 10 closest friends.
O Amy should ask the 35 students in her honors math class
O Amy should ask the 50 students in the computer club.​

Answers

Answer:
The answer should be the second one and 4th

Simplify: (3^5)^2 / 3^-2


A) 3^10

B) 3^9

C) 3^12

D) 3^8

Answers

Answer:

3^12

Step-by-step explanation:

(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441

= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12

Me.Bernstein will cut 8 pies into pieces that are each 1/6 of the whole After he cuts the 8 pies. how many pieces will Mr.Bernstein have

Answers

9514 1404 393

Answer:

  48

Step-by-step explanation:

If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...

  (8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces

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