Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 Let S represent the number of stacks of pancakes that Benjamin buys.

Answers

Answer 1

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]

i.e.  

[tex]5.50S[/tex]

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Please refer to https://brainly.com/question/17138529 as well.

Answer 2

3.25+5.50S < (with line under it) 30

To add on to what isyllus said...

3.25+5.50S < (with line under it) 30 is the equation

16 pancakes is the amount.

:) hope this helps!


Related Questions

Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working for the company longer, so her pay is 30% more than Maddy's. Last week, Maddy's cousin worked 27 hours, and Maddy worked 23 hours. Together, they earned $493.85. What is Maddy's hourly pay?

Answers

Hope it helps u mate. Plz follow me :)

Based on the table, which best predicts the end
behavior of the graph of f(x)?
As x, f(x) —, and as x->-0, f(x) →..
As x 700, f(x) →, and as x -→-00, f(x) →--.
As x, f(x) →-00, and as x———00, f(x)
As x -+-0, f(x) →-00, and as x->-00, f(x) -
->
-→-00

Answers

Answer:

The correct option is;

As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞

Step-by-step explanation:

The values given are;

x,      f(x)

-4,     18

-3,     9

-2,     6

-1,      3

0,      0

1,      -3

2,     -6

3,     -9

4,     -18

Based on the table, as the magnitude of x increases in the positive direction,  the magnitude of f(x) increases in the negative direction

Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞.

Heyy umm I need help

Answers

Answers

B, D and E are proportional

A, C, and F are not proportional

y = 3+x .... not proportional

y = 1.6x .... proportional

y = 3/(4x) .... not proportional

y = x .... proportional

y = 12x .... proportional

y = 2x+1 ... not proportional

=================================================

Explanations:

Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").

For something like y = 1.6x, we have k = 1.6

In the equation y = x, we have y = 1x in reality so k = 1 here.

Lastly, y = 12x has k = 12.

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

The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.

The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.

The vertices of triangle ABC are A(5,2), B(-1,-6), and C(1,5). If triangle DEF is similar to triangle ABC and AB/DE = 5, which could be the coordinates of D and E

Answers

Answer:

im pretty sure its the third one

Step-by-step explanation:

i guessed but it might be right

Identify the point corresponding to Q.

A (-3,-2)
B (1,-1)
C (-3,2)
D (-2,-1)

Answers

Answer:

C (-3,2)

Step-by-step explanation:

Well point Q on the parabola is located on point (1,2),

The corresponding point means the point located all the way to the left of Q which is (-3,2).

Thus,

the point that is corresponding to point Q is C. (-3,2).

Hope this helps :)

In a scale drawing of a rectangular deck, the
length is 10 inches and the width is 8 inches. In
the drawing, 4 inches represents 3 yards. What
is the length of the actual deck, in yards?​

Answers

Answer:

45

Step-by-step explanation:

10/4x3=7.5

8/4x3=6

6x7.5=45yards

Colin leaves school to go home. He walks 3 blocks south and then 9 blocks west. If Colin could walk in a straight line to the school, what is the exact distance between Colin and the school?

Answers

Answer:

9.48*

Step-by-step explanation:

This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :

3^2 + 9^2 = C^2

9 + 81 = C^2

90 = C^2

9.48 = C

* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.

Answer:

The answer would be A. 3√10 blocks

Step-by-step explanation:

I have had this question and its 3√10 blocks.
Hope this helps you other people :))

X^4 -33x^2-108 which of the following is equal to the polynomial given above? A. (X+36)(x+v3i)(x-3) B. (X-36)(x+v3i)(x+3)

Answers

Answer:

Answer D I believe :)

Step-by-step explanation:

x^4-33x^2-108

rewrite as a difference

x^4+3x^2-36x^2-108

factor out x^2

x^2(x^2+3)-36x^2-108

factor out -36

x^2(x^2+3)-36(x^2+3)

factor out x^2+3

(x^2+3)(x^2-36)

factor x^2-36

(x^2+3)(x-6)(x+6)

set x^2+3 equal to 0

x^2+3=0

solve for x

x=+/-[tex]\sqrt{3}[/tex]i

set at factors

(x+6)(x-6)(x+[tex]\sqrt{3}[/tex]i)(x-[tex]\sqrt{3}[/tex]i)

I hope this helps.

In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing

Answers

Answer:

(-5,0)

Step-by-step explanation:

In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number

For Decreasing:

(-8,-5)

(4,8)

For Increasing:

(-5,0)

What is the measure of Angle D F E? Triangle D E F. The exterior angle to angle F is 142 degrees. 38 degrees 52 degrees 118 degrees 142 degrees

Answers

as the exterior angle is known

sum of that angle and f angle = 180

142 + f = 180

f = 180 - 142

f = 38

Answer:

38

Step-by-step explanation:

Add the angle and f angle (180)Now add 142 + f = 180 Now subtract 180 - 142  (= f) Finally you get your answer 38

Hope this helps you :)

The base of a regular pyramid is a hexagon.

Answers

If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.

Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.

Answers

Answer:

Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.

At a central train station, there are 4 different train routes with trains that leave every 6 minutes, 10 minutes, 12 minutes, and 15 minutes. If each train can hold up to 200 passengers, what is the maximum number of passengers who can leave the station on a train in one hour?

Answers

Answer:

5,000 passengers

Step-by-step explanation:

1. Find out how many trains leave each hour.

6 min – 60/6 = 10 x 200 passengers = 2000

10 min – 60/10 = 6 x 200 passengers = 1200

12 min – 60/12 = 5 x 200 passengers = 1000

15 min – 60/15 = 4 x 200 passengers = 800

2. Add it all up.

2000 + 1200 + 1000 + 800 = 5000 passengers

Answer:

5000

Step-by-step explanation:

6 minute train leaves 10 times

10 x 200 = 2000 passengers

10 minute train leaves 6 times

6x200 = 1200

12 minute train leaves 5 times

5x200 =1000

15 minute train leaves 4 times

4x200 =800

2000+1200+1000+800=5000

assuming more than 1 train can be at the station at once

What the answer question

Answers

its b the answer is b

Answer:

the answer on the B

Step-by-step explanation:

A school counselor surveyed 90 randomly selected students about thé langages they speak. Of thé students surveyed 16 speak more than one langage fluently. Bases on thèse résults, How many of thé 1800 students at thé school can be expected to speak more than one langage fluently

Answers

Answer: 320 students

Step-by-step explanation:

From the question, we are informed that a school counselor surveyed 90 randomly selected students about thé langages they speak and thé students surveyed 16 speak more than one langage fluently. This means that 16/90 speak more than one language.

When 1800 students are surveyed, the number of students that can be expected to speak more than one langage fluently will be:

= 16/90 × 1800

= 16 × 20

= 320 students

80 people took a driving test. 70 of them passed the test. What percentage failed the test?

Answers

Answer:

12.5% failed

Step-by-step explanation:

Convert the fraction 10 out of 80 into a decimal to become the percentage

Answer: 87.5% failed driving test is 12.5%

Step-by-step explanation:

griffin ordered a pair of sneakers online. he had 16 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. if the the shoes cost 80, then how much did griffin charge to his credit card when he bought the sneakers? PLEASE ANSWER I BEG Y'ALL

Answers

Answer: Griffin charge $79.854 to his credit card when he bought the sneakers.

Step-by-step explanation:

Griffin ordered a pair of sneakers online.

Value of each credit point = 1 cent

Then , value of 16 credit points = 16 cents = $0.16 [1$ = 100 cents]

Cost of shoes = Rs $80

Charge to credit card = (Cost of shoes) - (Value of 16 credit points)

= $(80-0.16)

= $79.84

Hence, Griffin charge $79.854 to his credit card when he bought the sneakers.

List some typical benefits an employee might receive on top of their wage?

Answers

Answer:

paid vacation

paid medical

401k

∫1/(1+sinx^2 +2cos^2x)

Answers

Answer:

Im not sure, is this correct?

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?

Answers

Answer:

He should use the negative 1 unit tile.

Step-by-step explanation:

He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.

Answer:  It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\

Explanation: that's what i put and i got it right

PLZZZZZ MARK ME BRAINIEST

Which best describes the relationship between the lines with equations 5x +y = 4 and 20.0 + 4y = 16?

Answers

Answer:

There is no relationship, except they do intersect at the point (1, -1). Hope this helps :)

Brainliest?

Both given lines are going to intersect at ( 1,-1 ) that's it.

What is a line segment?

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

Given that

Line 1 ; 5x +y = 4

Line 2 ;  20 + 4y = 16 ⇒ y = -1

At  y = -1  the first line is

5x  - 1  =  4 ⇒ x = 1

So,

It is clear that line 1 has a point ( 1 .-1 ) and line 2 also passes

through it hence there will an intersection.

For more about line segment

https://brainly.com/question/25727583

#SPJ5

PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.

Answers

Answer:

1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x ← is in slope- intercept form

with slope m = 1

Answer:

1

Step-by-step explanation:

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is

Answers

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

In ∠QRS, m∠R=65°, and m∠S=35°. Which side of ΔQRS is the longest?

Answers

Answer:

The longest side of the ΔQRS is Side RS.

Step-by-step explanation:

Given:  m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.

To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and  m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.

Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.

Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
A. Sam is an orange belt or Kate a red belt.
B. Sam is not a red belt and Kate is not an orange belt.
C. Sam is not an orange belt and Kate is not a red belt.
D. Sam is not a red belt or Kate is not an orange belt.
E. Sam is not an orange belt or Kate is not a red belt.

Answers

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

The negation for the statement is Sam is not an orange belt or Kate is not a red belt.

What is Negation of De- Morgan's Law?

The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.

Given statement:

Sam is an orange belt and Kate is a red belt.

Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."

So, the negation statement would be

Sam is not an orange belt or Kate is not a red belt.

Learn more about  De Morgan's laws here:

https://brainly.com/question/13317840

#SPJ2

Find the indicated functional value for the ceiling function: f(1.5)?

Answers

Answer:

The correct answer is 2

Step-by-step explanation:

The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.

Given the function expression  f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2

1 1/2 + 2 1/2 x 3/4 -1/2

Answers

Answer:

[tex]\frac{23}{8} [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Convert the mixed number to an improper fraction

[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Multiply the fractions

[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]

Calculate the sum

[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]

[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]

Add the numbers

[tex] \frac{27}{8} - \frac{1}{2} [/tex]

Calculate the difference

[tex] \frac{27 - 1 \times 4}{8} [/tex]

[tex] \frac{27 - 4}{8} [/tex]

[tex] \frac{23}{8} [/tex]

Hope this helps...

Best regards!!

Help me with this please. I typed it on my iPad

Answers

I’m inclined to think D. or E. Maybe A. This probably didn’t help you... sorry
‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other four friends' portions of the bill went up by $7 each. How many dollars was the total bill?

Answers

Answer:

The total bill was $84

Step-by-step explanation:

Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:

[tex]\frac{x}{6}=y[/tex]

[tex]\frac{x}{4}=y+7[/tex]

Now we can substitute the first equation into the second and solve for x

[tex]\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84[/tex]

Therefore, the total bill was $84

Please help
Factorise completely 36ab - 18b+6a-3​

Answers

Answer:

[tex]3(6b-1)(2a-1)[/tex]

Step-by-step explanation:

[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]

Taking (2a-1) as common

[tex](18b+3)(2a-1)[/tex]

=> [tex]3(6b-1)(2a-1)[/tex]

Answer:

[tex]3(6b+1)(2a-1)[/tex]

Step-by-step explanation:

[tex]36ab - 18b+6a-3[/tex]

Factor the two groups.

[tex]18b(2a-1)+3(2a-1)[/tex]

Take 2a - 1 common.

[tex](18b+3)(2a-1)[/tex]

Factor 18b + 3.

[tex]3(6b+1)(2a-1)[/tex]

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