Brianna has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $261.04.
She buys 3 bicycle reflectors for $13.07 each and a pair of bike gloves for $13.57.
She plans to spend some or all of the money she has left to buy new biking outfits for $51.03 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Brianna can purchase while staying within her budget.

Answers

Answer 1

Answer: 6 outfits

Step-by-step explanation:

$620 should be greater than the price of the new bicycle + 3 * bicycle reflectors + a pair of bike gloves + unknown number of biking outfits

Therefore, the inequality will be:

620 ≥ 261.04 + 3 × 13.07 + 13.57 + 51.03x

620  ≥ 313.82 + 51.03x

[tex]\text{Solving \ for \ x}[/tex]

[tex]620\ge \:313.82+51.03x[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]313.82+51.03x\le \:620[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]

[tex]313.82\cdot \:100+51.03x\cdot \:100\le \:620\cdot \:100[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]31382+5103x\le \:62000[/tex]

[tex]\mathrm{Subtract\:}31382\mathrm{\:from\:both\:sides}[/tex]

[tex]31382+5103x-31382\le \:62000-31382[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5103x\le \:30618[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5103[/tex]

[tex]\frac{5103x}{5103}\le \frac{30618}{5103}[/tex]

[tex]\text{Simplify}[/tex]

[tex]{x\le \:6}[/tex]

Therefore, Brianna can buy 6 or fewer outfits while staying within her budget


Related Questions

how to draw a line of best fit and calculate it?

Answers

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.

Solution:

Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same

can someone help me solve this logarithm function

Answers

Answer:

[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

log x + log8=2

[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]

First, subtract by log₁₀(8) from both sides.

[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]

Solve.

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]

Therefore, the correct answer is x=25/2=12.5.

I hope this helps you! Let me know if my answer is wrong or not.

Which comparison is correct?
0.29<0.279
1.32<1.319
0.420>0.42
3.544>3.455

Answers

Answer:

3.544>3.455

Step-by-step explanation:

This is because if you look at the numbers .5 is greater than (>) .4

Which of the following is equivalent to 3(y + 4) – 7? (А) Зу — 5 - В Зу – 3 С Зу + 5 D Зу +6​

Answers

hello!

Use the Distributive Property, which states the following:-

a(b+c)[tex]\rightarrow[/tex]ab+ac

Simplify:-

3(y+4)-7

3y+12-7

Combine Like terms:-

[tex]\sf{3y+5}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

You must set up a proportion, it is called finding the geometric mean.

[tex] \frac{x}{4} = \frac{36}{x} [/tex]

Then, you must cross multiply to get:

[tex] {x}^{2} = 144[/tex]

Then, take the square root

[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]

[tex]x = 12[/tex]

If this answer helped you, I would greatly appreciate the brainliest :D

Is this correct?

(Brainliest.)

Answers

Answer:

I think it is since i already passed that i think that is correct , well good job !!

Step-by-step explanation:

What is the solution to x^3 + 4x^2 > x + 4?

Answers

Answer:

-4 < x < -1 or x > 1 (the third option)

Step-by-step explanation:

hope this helps

If a certain recipe takes 1 1/2 cups of flour and 2 cups of milk, how much milk should be added if the cook only has 1 cup of flour?

Answers

Answer:

1 1/3 cups of milk

Step-by-step explanation:

In our recipe

For every 1 1/2 cups of flour we need  2 cups of milk

then the flour and milk are two proportional quantities

1 1/2 ————-> 2

We know that 1 1/2 = 1/2 + 1/2 + 1/2  then

1/2 + 1/2 + 1/2 ————-> 2

Then (we divide both sides by 3)

1/2 ————-> 2/3

Then (we multiply  both sides by 2)

1 ————-> 4/3

finally , 4/3 = 1 1/3

solve for x !
[tex]x {}^{2} - 36 = 0[/tex]

thankyou ~​

Answers

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6


The equation c= 0.20t +3.50 shows the relationship between the charge, c in dollars, for renting a kayak for t minutes.
What is the meaning of the y-intercept?
O For So you can rent a kayak for 3.5 minutes.
It costs $3.50 per minute to rent a kayak
Every 3.50 minutes you have to pay $1.00
O You have to pay $3.50 up front before using the kayak.

Answers

Answer:

You have to pay $3.50 up front before using the kayak

I need help ASAP! I took a screenshot of the question and linked it.

Answers

Before we solve this problem:

    ⇒ let's figure out what all the variables in the equation stand for

t: number of years after initial rabbit populationr(t): number rabbits in 't' years

Question 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years

         ⇒ that means we substitute 8 into 't' of the equation

                 [tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]

          *we will round down the number of rabbits since it is impossible to

           have 0.2 of a rabbit

       There will be 4519 rabbits in 8 years.

Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000

         ⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'

                [tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]

            *in this case, you want it to the nearest year, round it up since we

             asked for how many years, and if we were to say 11, the

            the population of rabbits wouldn't have reached that number yet,

           so we will round up to ensure that number has been reached by

           that year.

       

       It will take at least 12 years for the rabbit population to reach 15000

Hope that helps!

       

What is the value of w?

Answers

Answer:

amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w

on solving we get w= 5

A taxi company charges a flat fee of $3.50 per ride plus an additional $0.65 per mile. If Ian has only $10, what is the farthest he can ride?

Answers

Answer:

10 miles

Step-by-step explanation:
Before he goes anywhere there is a fee of $3.50. $10 - $3.50 = $6.50. If you divide $6.50 by $0.65 you can find how many miles he can ride. $6.50 divided by $0.65 = 10. That means Ian can ride the taxi for 10 miles.

I really need help thank you!
10 points

Answers

Step-by-step explanation:

sum of angles in ∆ = 180

48+6x-28+2x = 180

20+4x = 180

4x = 160

x = 40

b = 212

c = 80

a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?​

Answers

Answer:

1/12

THIS DESERVES BRAINLISTTT

Step-by-step explanation:

There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.

A die has 6 sides. A coin has two.

The probability of rolling a 5 on the die is 1/6.

The probability of getting tails is 1/2.

To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.

The probability of rolling a 5 and getting tails is 1/12.

Find the Mean Absolute Deviation: {6, 6, 3, 4, 4}​

Answers

Answer:

To find the mean absolute deviation take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

6,6,3,4,4 - Mean Absolute Deviation: 1.12

Please can anyone solve this question I need it...
I'll mark as BRAINLIEST ANSWER...​

Answers

Answer:

x = 4/3

y = 0

z = 5/4

Step-by-step explanation:

PQ means multiplied matrices.

P+Q means added matrices.

PQ = =

4x+0 4y+0z 4x 4y

0x+5×0 0y+5z 0 5z

P+Q = =

4+x 0+y 4+x y

0+0 5+z 0 5+z

so, for PQ = P+Q we have

4x = 4+x

4y = y

5z = 5+z

4x = 4 + x

3x = 4

x = 4/3

4y = y

3y = 0

y = 0/3 = 0

5z = 5 + z

4z = 5

z = 5/4

can some one help, Write the inequality 3x - y > -4 in slope intercept form​

Answers

Answer:

[tex]y < 3x+4[/tex]

short explanation:

1) the common view of slope-interception form is:

y < slope*x+intercept or y>slope*x+intercept. Then

2) according the form above:

3x-y>-4;

y<3x+4.

Please answer. Show work. Find volume. Thanks!

Answers

Answer:

225

Step-by-step explanation:

if you convirt them all to fractions and make it 5/1*10/1*36/1=225

PLEASEE HELPPP!!!!

The area of a rectangle is 140 square inches. The
perimeter of the same rectangle is 48 inches. What
are the length and width of the rectangle?

Answers

Answer:

Length can be 14 - 10 inches

Width can be 10 - 14 inches

Zoe has $45. She needs to buy a dress pattern for $12 and fabric that costs $9 per yard. What is the maximum number of yards of fabric can she buy?

Answers

45-12 (pattern) = 33
33:9 = 3.6 (yards)
so she can only buy 3 full yards

45-12=33

then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.

need help with geometry (number 22)

Answers

Answer: 8

Step-by-step explanation:  if FH=34 and EG should also =34 then what times 4 +2 would = 34 and that would be 8.    EG=4x+2 put the 8 as the x so 4*8+2 and that = 34.


Please help. You get imaginary money if you help

Answers

Answer:

perimeter: 73.81 inarea: 284.955 in²

Step-by-step explanation:

You want to find the perimeter and area of a sector that is 3/4 of the circle. The perimeter will be the sum of twice the radius and the length of the arc. The area will be 3/4 of the area of the full circle.

__

Perimeter

The length of a circular arc is ...

  s = rθ . . . . . where θ is the central angle in radians

  s = (11 in)(3/2π) . . . . . . . a 3/4 circle has a central angle of 3/2 radians

  s = (11 in)(3/2)(3.14) = 51.81 in

When we add the two radii to this, we get a total perimeter of ...

  P = 2r +s = 2(11 in) +51.81 in = 73.81 in . . . . perimeter of the figure

__

Area

The area of a sector is given by the formula ...

  A = 1/2r²θ . . . . . where r and θ are the radius and central angle (in radians)

  A = 1/2(11 in)²(3/2π) = (1/2)(121 in²)(3/2)(3.14)

  A = 284.955 in² . . . . area of the figure

Two rooms in a tiny house share a wall.

Answers

Answer:

54 + 42 = 6 (9 + 7)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The equation already gives the 7 in the parenthesis, so we know that 7 x 6 = 42.

The 6 will be on the outside of the equation since we will be using Distributive Property to multiply the 6 and 7.

Since we already know the 6 is on the outside, your new equation is:

6 x (what number) = 54

54 divided by 6 = 9

1 message What is the graph of the solution set of b - 4 ≥ -1?

Answers

Answer:

Hope the picture will help you!!

Which decimal is greater: 7.09 or 7.1?

Answers

Answer: 7.1

Step-by-step explanation:

7.09<7.10

7.10=7.1

sometimes adding a zero helps

A. 108
B. 792
C. 891
D. 126

Answers

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

I need help or my grade is going to go to a f-

Answers

Answer:

1

Step-by-step explanation:

65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000

6 x 10 = 60

5 x 1 = 5

7 x 1/10 = 0.7

5 x 1/100 = 0.05

1 x 1/1000 = 0.001

60 + 5 + 0.7 + 0.05 + 0.001 = 65.751

The weights of five different dogs are shown below. What are the minimum and maximum weights? Give your answers in kilograms (kg) Clifford 25kg
Amber 34kg
Beryl 47kg
Poppy 23kg
Toby 31kg
(please I need help right now)​

Answers

Answer:

Minimum weight = 23kg

Maximum weight= 34kg

Step-by-step explanation:

Find the lowest and highest weight

Answer:

See below ↓↓

Step-by-step explanation:

Minimum weight = lowest numerical value of weight⇒ Poppy (23 kg)

Maximum weight = highest numerical value of weight⇒ Beryl (47 kg)

IM STUCK CAN SOMEBODY SOLVE THIS EQUATION

Answers

Okay, so the first one will be 15,15
18,15. 21,18 22,25. 36,30 38,33 39,34
41,4-
Other Questions
Synthesis is a combination of different ideas to form a new whole the width of a rectangle is a third as long as the length. If the primeter is 24 inches, what is the area of the rectangle? Which pair shows equivalent expressions?2x+10=-2(x-5)-2(x+5)=2x-10-2x-10=-2(x-5)-2(x-5)=-2x-10 In what way has the Taliban attempted to oppress women in their society? Can you solve for x please? this one has me by the balls. A box of breakfast cereal is 20 centimeters long, 7.5 centimeters wide, and 30 centimeters high. what is the volume of the box HELP PLEASEE!!!A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units? Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water. Martinez family decides to fill their pool using their garden hose to save money even though they know it will take a really long time the swimming pool is 10 m long and 5 m wide and Martinez family wants to the water to be 2 m deep water from the garden holes flows at a rate of 2500 l or 2.5 m per hour how long will it take to fill the pool Religious violence between Hindus and Muslims broke out due to which of the following developments? the Vietnam war, the decolonization of Africa, the creation of Palestine and Israel, the partition of independent India How does Elisa's attitude change after the fixer leaves? A shift towards a higher proportion of sales of products with a lower contribution margin per unit will most likely result in a(n) ________. Can someone please help me with this questions I would really appreciate it thank you !! How do you write 0.92 as a percentage? Help me please :(( ...... How could these sentences be effectively combined with a coordinating conjunction?I'll go to the Rockies. I'm afraid of heights.I'll go to the Rockies, and I'm afraid of heights.I'll go to the Rockies, but I'm afraid of heights. Find x.Round to the nearest tenth:31X400 ftx = [ ? ]ft Which of the following statements represents a significant difference between the First Crusade and the Second Crusade? Megan played 5 Sudoku games that were at mediumdifficulty level. The mean completion time per gamewas 5.9 minutes. She completed a sixth Sidoku gamein 2 minutes and 54 seconds. Which of the followingstatements must be true about the changes betweenMegan's completion times for the 6 games and hercompletion times for the 5 games?A) The mode of the 6 completion times decreased.B) The median of the 6 completion times remainedthe same.C) The mean completion time per game for the6 games increased by 2.9 minutes.D) The mean completion time per game for the6 games decreased by 30 seconds. The diameter of a cylindrical construction pipe is 5 ft. If the pipe is 25 ft long, what is its volume? Why does it benefit an imperial shrimp to travel on a sea cucumber? A. The shrimp feeds on the sea cucumber as it rides. B. The shrimp could move to a new feeding ground. C. The sea cucumber is one of the shrimps predators. D. The sea cucumber carries parasites that the shrimp eat.