Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Answers

Answer 1

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

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Related Questions

Determine whether the function g(x)= -x +2 is increasing or decreasing.​

Answers

Answer:

its decreasing :) the person above me is correcto

Help
Djdjdjjdjdjdjdjdjdjdjdjdjdj

Answers

Answer:

B. Corresponding

Step-by-step explanation:

The angles are across from each other so they are corresponding angles.

Answer:

It's C. Vertical angle! Please mark me brainliest!!

Step-by-step explanation:

It's not B because look at this pic.

It's C. look at this pic.

−6x + 6y = 6 −6x + 3y = −12

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

simplify: 10x-6(7+x)

Answers

Answer:

4 x − 4 2

Step-by-step explanation:

Answer:

4x−42

Step-by-step explanation:

10x-6(7+x)

Distribute

10x+(−6)(7)+(−6)(x)

combine like terms

10x+−42+−6x

10x-6x-42

4x+−42

Which phrase best completes the list?

Types of Expenses - Taxes

Apply to money earned and spent

Usually take up about 14 percent of a person's income

?

A. Are paid to the government
B. Allow a person to buy a home
C. Pay for vital services like water
D. Do not need to be paid every year

Answers

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

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If the height of a falling object after a certain amount of time is given by the equation ​, which of the following is​ true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.

Answers

Answer:

B

Step-by-step explanation:

Time can't go backwards

Please help!! Will mark brainilest ☺️

Answers

Answer:

B

Step-by-step explanation:

x = -3

Means we go 3 units to the left of the origin and draw a vertical line ( up and down)

Answer:

B

Step-by-step explanation:

B because , it would be a straight line and it needs to cross x=-3. Its straight because there's no y. B is the only one that actually has -3 as x so B would be the only correct answer.

Do me this options same value of 65% of 20

Answers

Answer:

65% of 20 is 13

Step-by-step explanation:

Multiply 0.65 by 20

(0.65 is the same as 65%)

13

Eldrick finished at the percentile of a men's tennis league with players in it. How many tennis players finished above him

Answers

Answer:

The number of tennis players who finished above Eldrick are 20 players.

Step-by-step explanation:

Note: The question is not complete as the data in it are omitted. The complete question is therefore provided before answering the question as follows:

Eldrick finished at the 77th percentile of a men's tennis league with 88 players in it. How many tennis players finished above him?

The explanation of the answer is now given as follows:

The 77th percentile refers to the number of men's tennis league players below (inclusive) which 77% of the players can be found.

Therefore, we have:

Remaining percentile = 100th - 77th percentile = 23rd percentile

The remaining 23rd percentile refers to the number of men's tennis league players above (exclusive) which 23% of the players can be found.

Therefore, the number of tennis players who finished above Eldrick can be calculated as follows:

Number of tennis players who finished above Eldrick = 23% * Number of players in the league = 23 * 88 = 20.24

Rounding to a whole number, we have:

Number of tennis players who finished above Eldrick = 20

A landscaper plants 18 bushes in a 36-foot section of land along the side of a house. How many bushes does the landscaper plant in a 10-foot section of land?

A.5
B.8
C.9
D.12

Answers

Answer:

Step-by-step explanation:

18 x 2 is 36 so to find out how many you could plant in a ten-foot area divide ten by 2 to get five.

can someone help me find the missing numbers

Answers

I believe it would be a 100 correct me if I’m wrong since every one box equals 20 books 5 boxes would contain 100.

Please, help me with my homework! Thank you!

Answers

Answer: where is the homework that is needing help

Today Alice is five times as old as Todd in 10 years she will only be 3 times as old what is there age now

Answers

Answer:

30

Step-by-step explanation:

I need help please please.

Answers

Answer:

C

15(2/3)=10

15/1 x 2/3 = 10

30/3=10

10=10

Step-by-step explanation:

Answer:

C apparently from what the guy above me said

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)​

Answers

Is this question supposed to be a graph if so you should do make up a graph so we could see it

Evaluate and solve for the variable

7=5b

Answers

B would equal 1 and 2/5

2. What is the greatest
common factor of 18 and
36?
A.18
B. 36
C. 72
D. 144


Answers

Answer: 18 and 36 is A.

Step-by-step explanation:

Problem: Suppose that on-the-job injuries in textile mill occur at the rate of 0.1 per day. What is the probability that two accidents will occur during the (five-day) work week

Answers

Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758

Step-by-step explanation:

Given that;

injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1

probability that two accidents will occur during the (five-day) work week = ?

T= 5

so, the average number of on the job injuries for five days will be;

λT = 0.1 × 5

= 0.5

now if X follows Poisson distribution, hemce

P( X=k ) = [e^-λT (λT)^k] / k!

so the probability that two (2) accidents will occur during the (five-day) work week will be;

P( X=k ) = [e^-0.5 (0.5)²] / 2!

= (0.6065 × 0.25) / 2

= 0.1516/ 2

= 0.0758

the probability that two accidents will occur during the (five-day) work week is 0.0758

Help now playing 10 point

Answers

Answer:

greatest sum is: 11 1/4 plus 8

greatest difference: is 11 1/4 plus -20.8

greatest product is: 8 times 11 1/4

greatest quotient is: 11 1/4 divided by 3.75

Please answer this ASAP

Answers

9514 1404 393

Explanation:

1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given

2. ∆ABC is isosceles . . . . definition of isosceles triangle

3. BA ≅ BC . . . . definition of isosceles triangle

4. ∆BDA ≅ ∆BEC . . . . HL theorem

5. AC ≅ CE . . . . CPCTC

Find x
13x+5)
(6x – 14)°
y + 8)

Answers

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

The answer is 21 :)

Which situation can be represented by the equation 4d+5=29

Answers

Jane spent $29 from online shopping. There’s a one time shipping fee of $5. Jane buys 4 of the same item. How much is the cost of the item?

what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah

Answers

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

first you start with

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

then you multiply the rest

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

now times by 4

1.8816757e+77 x 4

=

7.5267028e+77

-------------------------------------------------------------------------------------------------

bro this was so hard , , ,

[tex]2s+5\geq 49[/tex]

Answers

Answer:

s≥22

Step-by-step explanation:

49-5

2s≥44

divide both sides of the inequality by 2

so 2s≥44 then turn into s≥22

5) Choose which postulate proves the triangles congruent.

Answers

Answer:

AAS

Step-by-step explanation:

HEHE

     ΔBAC and ΔDAC are the congruent triangles by ASA postulate of the congruence of two triangles.

    In ΔBAC and ΔDAC,

Given properties are,

AC bisects ∠BADAC bisects ∠BCD

By using these properties,

∠BAD ≅ ∠DAC (Given)

∠BCA ≅ ∠DCB (Given)

AC ≅ AC (Reflexive property)

ΔBAC ≅ ΔDAC (ASA postulate of congruence of two triangles)

      Therefore, ΔBAC and ΔDAC will be congruent by ASA postulate for the congruence of two triangles.

Learn more,

https://brainly.com/question/19689509

Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?

Answers

Answer:

No he does not have enough walnuts

Step-by-step explanation:

So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough

Answer:

No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.

Step-by-step explanation:

What is the solution to the equation below? Enter the answer in the format p=#, keep your answer as a fraction if necessary. -2/3p + 1/6 = 7/10

Answers

Let's solve your equation step-by-step.

-2/3p+ 1/6= 7/10

Answer:

p= -4/5

y
44
3
2-
-3
-2
2
3
4
-3+
-4
V
What is the slope of the line?

Answers

Answer:

-1

Step-by-step explanation:

-1 is the slope of the line

Need help please! Will give brainleist

Answers

Answer:

D is 16 degrees and C is supposed to have 2 angles so  C is half of 85 so 42.5 degrees.

Step-by-step explanation:

3. What is the equation of the line that
passes through the point (1,5); and
is parallel to the equation. y= -2x - 4

Answers

hello

so when finding a parallel line both lines need to have the same slope, the slope of the line from the given equation is -2.

then we use the point slope formula to find the equation of the line that passes through (1,5).

y-5=-2(x-1)
y-5=-2x+2
y=-2x+7

hope this helps!
have a nice day :)
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