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 using substitution y = -4x + 10 y = -x + 1.
will give brainleist if correct

Answers

Answer:

Hi! The answer to your question is (3,-2)

Step-by-step explanation:(

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?

Answers

Answer:

∠RQS = 21°

∠TQU = 28°

Step-by-step explanation:

90° + 221° + 3x + 4x = 360°

combine like terms:

7x + 311° = 360°

subtract 311° from each side of the equation:

7x = 49°

divide both sides by 7:

x = 7°

∠RQS = 3x = 3(7°) = 21°

∠TQU = 4x = 4(7°) = 28°

Need help ASAP giving away 15 points will mark brainlyist as well

Answers

Answer:

1. < 11

2. < 5

3. < 1

4. x=38

5. x=25

6. x=6

7. x=18

8. x=52

9. x=15

10. x=12

Step-by-step explanation:

1. Vertical Angles

2. complementary angles= 90

3. vertical Angles

4. Supplementary Angles- 4x+28=180

5. vertical Angles :2x+5=55

6. Right Angle: 7x+8x=90

7. Supplementary Angles: 119+3x+7=180

8. vertical Angles: 3x=156

9. vertical angles: 8x-4=116

10. right angles: 3x+7+4x-1=90

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?


8.2 inches


10.4 inches


12.1 inches


23.6 inches

Answers

C Correct ~~~~~~~~~~~~~~~~~~~~~~

By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.

How to get the radius of the cylinder?

Remember that for a cylinder of radius R and height H the volume is:

[tex]V = 3.14*R^2*H[/tex]

In this case, the height is twice the radius, so we have:

H = 2R

[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]

And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:

[tex]3,500 in^3 = 6.28*R^3[/tex]

[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]

The approximate radius of the cylinder must be 8.2 inches.

If you want to learn more about cylinders you can read:

https://brainly.com/question/9554871

Find the simple interest on the following amounts:
a K4000 invested at 6% p.a. for 4 years
b K23 000 invested at 6.5% p.a. for 8 years
K580 borrowed at 5% p.a. for 9 months
inte
с
500​

Answers

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

Find the value of x

Answers

Answer: 38

Step-by-step explanation:

Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.

Answers

Answer: sorry don't know but uhh its 5

Step-by-step explanation:

From the choices provided, select all the questions that represent statistical questions,
A What was the temperature at 5:00p.m. today in Boston?
B How many pieces of fruit were used to make Shawn's smoothie today?
How many states are there?
D What types of food do students in your school bring for lunch each day?
E How many books did each student check out at the library last year?

Answers

Answer:

all exept c i think

Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small

Answers

Answer:

a) Any sample statistic used to approximate a population parameter.

Step-by-step explanation:

An unbiased estimator is any sample statistic used to approximate a population parameter.

In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.

If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.

That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.

Which comparison statement describes the model below 6 6 6 6 24

Answers

^^^ Don’t click on that link it’s a scam

Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?

Answers

Answer:

The perimeter of one poster is 57 inches.

Step-by-step explanation:

The perimeter of a rectangle is given by:          

[tex] P = 2(w + h) [/tex]

Where:

w: is the widht = 12.5 in

h: is the height = 16 in

Hence, the perimeter is:

[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]

Therefore, the perimeter of one poster is 57 inches.

I hope it helps you!

30 points and Brainliest!
Given: ΔLFP, LF = FP LK ⊥ FP , PD ⊥ LF Prove: LK = PD
Please provide proof and the rule (AAA, ASA, etc.) as well.

Answers

Answer:

LF = PF                   given

ΔLFP is isosceles   definition of isosceles triangle

∠FLP = ∠FPL          isosceles triangle theorem: if two sides of a triangle are

                               congruent, then angles opposite those sides are

                               congruent.

LP = PL                    reflexive property

∠PDL = ∠LKP          Perpendicular lines postulate (perpendicular lines form 90

                                degree angles)

ΔPDL ≅ ΔLKP         AAS

LK = PD                    corresponding parts of congruent triangles are congruent  

evaluate 3 + jk + k ^3 when j = 2 and k = 6

Answers

231
hope this helps!

f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.

Answers

The answers (2,5) because

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.

Answers

Is there a question to answer?

A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter

Answers

if you’re really thirsty you should drink a liter

Marya has $146 in her checking account . She writes a check for $193 . What is the new balance in her checking account ?

Answers

Answer:

-$47

Step-by-step explanation:

If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.

what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5

Answers

Answer:

y = 4/5 x + 2/5

Step-by-step explanation:

NO SCAM LINKS.

please reply ASAP PLEASEEEE

Answers

Answer:

B

Step-by-step explanation:

the answer is B hope this helps

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
0
10
X
15

Answers

Answer:

x ≈ 11.180

Steps:

x = √(15²-10²)

x = √(225-100)

x = √125

x ≈ 11.180

Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?​

Answers

Answer:

345 - 40% = 207$

Step-by-step explanation:

(345 - 30%) - 15% = 205.3 (Better deal)

Answer:

30% off and additional 15% at the register

Step-by-step explanation:

Deal 1

$345 × 40% = $138

$345 - $138 = $207

Deal 2

$205.30

I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?

Answers

Answer:

[tex]\sqrt{13}[/tex] = 3.605551275......

Step-by-step explanation:

[tex]\sqrt{13}[/tex]

       3.6

3 [tex]\sqrt{13}[/tex]

     -9

36[tex]\sqrt{4}[/tex]00

do you need to know more... ??

9514 1404 393

Answer:

  √13 ≈ 3.60555127546

  "by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38

Step-by-step explanation:

Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.

Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.

__

Method 1 -- Linear approximation

You can approximate it by hand in the following way.

√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...

  3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6

This is a linear interpolation between √9 and √16.

_____

Method 2 -- Babylonian method

The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.

  x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175

  x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places

One more iteration will double the number of correct decimal digits.

  x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915

(correct digits are highlighted)

_____

Method 3 -- "long division"

There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.

_____

Method 4 -- continued fraction

Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:

  3 +x = √13 . . . . . . where x is the fractional part of the root

  (3 +x)² = 13 . . . . . . square both sides

  x² +6x +9 = 13 . . . expand the square

  x(x +6) = 4 . . . . . . . subtract 9 and factor

  x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)

At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...

  p/q = 4/(6 +p/q) = 4q/(6q +p)

That is, successive approximations of x can be had by the transformation ...

  (p, q) ⇒ (4q, 6q+p)

Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...

  (p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)

At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.

__

* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.

Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?

Select all that apply

The value of c can be found using the formula 30+837

The value of c can be found using the formula C/8.37 = 3

Each baseball cost $25.11

Each boseball cost $279

Answers

The value of c can be found using the formula 3c = 8.37
The value of c can be found using the formula c/8.37=3
Each baseball cost $2.79

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

A student purchased 9 binders for $11.07.

Solve the equation to determine the cost, in dollars, for each binder.

$

Answers

Answer:

$1.23

Step-by-step explanation:

9 binders for 11.07, where x = num of binders

9x = 11.07  [Divide both sides by 9]

x = $1.23

Answer:

each binder costs $1.23

Step-by-step explanation:

$11.07 divided by 9 equals $1.23

2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years

Answers

Answer:

A = 642.01

Step-by-step explanation:

Given:

P = 500

r = 2.5% or 0.025

t = 10

Work:

[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]

triangle: solve for x

Answers

Answer:

6 root two

Step-by-step explanation:

geometric mean for leg t.

24*3=x2

x2=72

x=root(72)

6 root two

if my answer helps please mark as brainliest.

Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How many tickets total are they trying to sell?

Answers

Answer:

350 tickets

Step-by-step explanation:

if you do 42/350, it would equal 12%, so 350 is the total

Solve for h -4(-6h - 7) = 9h + 10h - 7

Answers

Answer:

h=-7

Step-by-step explanation:

-4(-6h - 7) = 9h + 10h - 7

24h+28=19h-7

Both side -28

24h+28-28=19h-7-29

24h=19h-35

Both side -19h

24h-19h=19h-19h-35

5h=-35

h=-7

Answer:

h = -7

Step-by-step explanation:

-4(-6h-7)= 9h+ 10h-7

24h+ 28=19h-7

-19. -28. -19 -28

5h -35

h= -7

Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?

Answers

The volume of Larry’s picture is approximately 653in³

The volume of Sandra’s pitcher is approximately 905in³

How to determine their volume

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters are;

V is the volumer is the radiush is the height

Now, substitute the values, we have;

Larry's cylinder

Volume = 3.14 × 4² × 13

Find the square value and multiply the expression

Volume = 653in³

Sandra's cylinder

Volume = 3.14 × 6² × 8

Find the square value and multiply the expression

Volume = 905in³

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

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