Lester has sold $51 worth of sports drinks at his concession stand today. Each drink sells for $3. He hopes to sell at least $300 worth of drinks over the course of the entire day. Let x be the number of drinks he will sell over the rest of the day. Which inequality precisely represents the condition of Lester meeting his goal?
A.51 + 3x ≥ 300
B.51 + 3x > 300
C.3x ≥ 300+ 51
D. 3x > 300 + 51

Answers

Answer 1

First you should evaluate the givens. We know that so far Lester has sold $51 of drinks. Every drink costs $3 and he wants to sell at least $300 worth of drinks at the end of the day. x represents the number of drinks he wants to sell, which must be at least $300. Now we can put this into an inequality.

Since Lester wants a minimum of $300, he needs the amount to be equal to or greater than 300, because if it were any less he would not meet his goal.

> 300

Every drink costs $3, and x represents the number of drinks he needs to sell to get at least $300. Multiplying 3 and x together will give us the rest of the $300 answer.

3x > 300

We cannot forget that Lester already has $51, however, so we will add this to the amount of money from the rest of the drinks he needs to sell.

51 + 3x > 300

This makes A. our final answer. I hope my explanation made sense!

Related Questions

The sides of a triangle are of lengths 13, 14, 1nd 15. the altitude of the triangle meet at point h. if ad is the altitude to the side length 14, what is the ratio hd:ha

Answers

The ratio of HD:HA in a triangle with sides 13, 14, and 15, where AD is the altitude, is 13:14.

The question involves finding the ratio of lengths HD:HA in a triangle with sides of lengths 13, 14, and 15, where AD is the altitude to the side of length 14.

According to the given theorem, if we consider AD as the altitude ha from vertex A and HD as ht, we are informed that a:ht=b:ha, where a and b are sides of the triangle.

Since triangle ABC has sides a=13, b=14, and c=15, we apply the theorem such that 13:HD=14:HA.

This gives us the ratio HD:HA as 13:14. Therefore, for every 13 units of height from H to D, there are 14 units of height from H to A.

Kim is drawing a map of the different schools in her school district.she knows that her middle school is 10.6 miles away from the middle school that her best friend attends.if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map,to the nearest tenth of an inch

Answers

so Kim and her best friends are 10.6 miles away and we are trying to find out how many inches are they apart

10.6/5 = 2.12
that equation represents how many miles away they are now we mulitply
2.12x 2 to find a number of inches 4.24

Answer:

4.24 inches.

Step-by-step explanation:

In the map,

2 inches represents 5 miles,

Thus, we can write,

[tex]5\text{ miles}=2\text{ inches}[/tex]

[tex]1\text{ mile}=\frac{2}{5}\text{ inches}-----(1)[/tex]

Since, the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1),

[tex]10.6\text{ miles}=10.6\times \frac{2}{5}=\frac{21.2}{5}=4.24\text{ inches}[/tex]

Hence, the distance between the two schools in the map is 4.24 inches.

The circumfrence is 16 pi. What is the are in terms of pi?

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~ \begin{cases} r=radius\\ -----\\ C=16\pi \end{cases}\implies 16\pi =2\pi r\implies \cfrac{16\pi }{2\pi }=r\implies \boxed{8=r}\\\\ -------------------------------\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \qquad \implies A=\pi (8)^2\implies A=64\pi [/tex]

You solved a linear system with two equations and two variables and got the equation o=-8. how many solutions does the system of equations have

Answers

If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.

If the final equation is a true equation, like 3=3, then the system has an infinite number of solutions (the equations graph the same line, and all points appear on both graphs)

If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)

Give two ways the unit "meter per second per second" can be abbreviated.

Answers

1 m/sec times sec/ 1 m/sec is the answer

mr scott rented a bicycle for 6 hours on saturday and then several more hours on sunday. it cost $4 per hour to rent the bicycle, and he paid a total of $48 For many hours did mr scott rented the bicycle on sunday

Answers

Final answer:

After calculating the cost for 6 hours of bicycle rental on Saturday, we subtracted that from the total cost to determine the cost for Sunday. By dividing this amount by the hourly rate, we concluded that Mr. Scott rented the bicycle for an additional 6 hours on Sunday.

Explanation:

The question asks how many hours Mr. Scott rented a bicycle on Sunday. To solve this, we need to calculate the total rental hours using the cost information provided. We know that Mr. Scott rented the bicycle for 6 hours on Saturday, and the rental cost is $4 per hour. He paid a total of $48 for the entire rental period over the two days.

First, let's calculate the cost for Saturday's rental: 6 hours × $4 per hour = $24. Now we know that Mr. Scott spent $24 on Saturday, so the remaining $24 ($48 total - $24 for Saturday) must have been spent on Sunday's rental. Dividing the remaining cost by the hourly rate gives us the number of hours rented on Sunday: $24 ÷ $4 per hour = 6 hours. Therefore, Mr. Scott rented the bicycle for 6 hours on Sunday as well.

2 to determine the formula of a new substance one of the first steps is to find the

Answers

To determine the formula of a new substance one of the first steps is to find the percent composition.

What is a rule about the angle measures of an isosceles triangle?

Answers

A rule about the angle measures of isosceles triangles is that at least two of the interior angles must be congruent.

Hope this helps, and May the Force Be With You!

-Jabba

Final answer:

In an isosceles triangle, the angles opposite the two equal sides are themselves equal, and the sum of all angles always adds up to 180 degrees within plane geometry.

Explanation:

A rule about the angle measures of an isosceles triangle is that the angles opposite the two equal sides are themselves equal. An isosceles triangle has at least two sides of equal length, and the angles opposite these sides are called the base angles. Since the sum of angles in any triangle in Euclidean (plane) geometry must add up to 180 degrees, knowing two angles are the same allows us to easily calculate the third angle.

For example, if an isosceles triangle has two equal angles of 50 degrees each, the remaining angle must be 180 - (50 + 50) degrees, which is 80 degrees. This is different from a spherical triangle, where the sum of the angles can be greater than 180 degrees due to spherical geometry. It's also worth noting that these rules apply only to plane geometry, which is the study of shapes on a flat plane.

Write the equation of a line with a slope of 4 and a y-intercept of −3.

A: 4x+y=-3
B: 4x-y=-3
C: y=3x+4
D: y=4x-3

Answers

Slope intercept form is always y=mx+b where your m is your slope and your b is your y-intercept. This equation would be D: y=4x-3

Answer:

y = 4x − 3

Step-by-step explanation:

In a test-cross of a heterozygous black guinea pig (bb), what is the probability that the first two (2) offspring will be white?

Answers

im pretty sure its 25%

Identify the 35th term of an arithmetic sequence when a1 = −7 and a 18 = 95

Answers

The solution is on the photo.

A pack of cinnamon scented pancils sells for $7.00.What is the sales tax rate if the total cost of the pencils is $7.49?

Answers

The amount of sales tax rate on the scented pencils will be equal to 7%.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of scented pencils = $7

Price of pencils after-tax = $7.49

Then, the percentage of tax on the pencils will be,

= (7.49 - 7)/7 × 100

= 0.07 × 100

= 7%

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Suppose that the distance D feet that a car travels in t seconds is given by d(t)=2t^2. Calculate the average speed (average rate of change.) in feet per second from t=5 to t=9. (An exact number.)

Answers

d(t)=2t^2. [5,9]
The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1
So plug in 5 as t1 and 9 as t2.
d(9) - d(5) / 9 - 5 =
(2×81) - (2×25) / 9 - 5 =
162 - 50 / 4 =
112 / 4 = 28
The average speed is 28 feet.

A rate of change is a rate that describes how one quantity changes in relation to another quantity, then d(t)=2t^2 is given, 28 feet is average speed in feet per second from t=5 to t=9.

What is Rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

d(t)=2t^2 is given, we need to find average speed in feet per second from t=5 to t=9.

d(t)=2t^2.

The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1

So plug in 5 as t1 and 9 as t2.

d(9) - d(5) / 9 - 5 =

(2×81) - (2×25) / 9 - 5 =

162 - 50 / 4 =

112 / 4 = 28

Therefore the average speed is 28 feet.

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Jack has twelve coins in his pocket made up of dimes and quarters. he has a total value of $1.95. how many of each are there

Answers

Since $1.95 ends in a five, and the only way to get that is with an odd number of quarters (dimes are always .10, and even numbers of quarters also end in zero(.50)), we know we are looking at an odd number of quarters. Then we can use the guess and test method to quickly find our answer.

5 quarters = $1.25
7 dimes = $0.70

Total: 12 coins = $1.95

Y=3.6x. Tell whether this equation represents a direct variation. If so, identify the constant of variation

Answers

Yes it is
constant =3.6

When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs. What is that percent rounded to the nearest compatible fraction?

Answers

22/100=> 11/50 would be the answer

Answer: [tex]\dfrac{11}{50}[/tex]

Step-by-step explanation:

Given : When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs.

We know that to convert a percent into a fraction , we need to divide the percent by 100 , we get

[tex]22\%=\dfrac{22}{100}[/tex]

Which can be written as :[tex]\dfrac{2\times11}{2\times50}[/tex]

Cancel out 2 from the numerator and the denominator , we get

[tex]\dfrac{11}{50}[/tex]

Hence, 22% rounded to the nearest compatible fraction [tex]\dfrac{11}{50}[/tex]

Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc?

A. It must be equal to PS .

B. It must be greater than 12RS.

C. It must be wide enough so that the arc intersects RS←→ in two points.

D. It must be equal to PR .

Answers

Answer:

Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.

How do you solve x^2 - 16x -34 = 2 by completing the square?

Answers

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0
Add 100 to both sides:(x - 8)^2 = 100
Take the square root of both sides:x - 8 = 10 or x - 8 = -10
Add 8 to both sides:x = 18 or x - 8 = -10
Add 8 to both sides:Answer: x = 18 or x = -2

What is m∠A ?What is m∠A ?

Enter your answer in the box.

°

Answers

its 48 i hope its right your welcome

Answer:

{I got 60} just took the test not 118 or 48 but thanks lol

Please help me. Thank you.

Answers

1 is 80 because:
3m + 20 + 5m = 180
8m + 20 = 180
8m = 160
m = 20
Then 3(20) +20 = 80 because of vertical angles.

The second one is 15 because of vertical angles. 2*115 = 230. 50*50 = 100. Add these up and you get 330. This leaves 30 missing degrees among the two remaining angles. Since the two remaining angles are congruent because they are vertical, you can divide 30 by 2 to get 15.

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Ok so a jar can hold three-fourths of pounds of flour right, so that's the max it can hold, now Austin empties 1/2 of the pound into the flour, since he only emptied that much that's how much he filled the jar with so your answer would be 1/2 or one-half since that's all he filled it with.

Answer: 1/2 or one-half

Step-by-step explanation:

What can be used as a reason in a two-column proof? Select each correct answer. a premise a conjecture a postulate a definition

Answers

Answer:

a conjecture, a postulate, and a definition

Step-by-step explanation:

A premise is an assumption something is true. When completing a proof, we must use already established truths to get us from one step to another; these can be theorems, postulates, conjectures, or definitions. However, premises themselves cannot be used to prove something.

am i correct ? geometry problem

Answers

Unfortunately your response would only be true if CD was perpendicular to AB. However we don't know if CD is perpendicular or not. So we don't have enough information. The actual answer is choice E) None of these.

The lengths of the sides of a triangle are in the extended ratio 5 : 7 : 10. The perimeter of the triangle is 88cm. What are the lengths of the sides?

Answers

so you know that altogether the ratio adds up to 22. just do 88/22 to find what 1 is. then just multiply 88/22=4
5=5x4 which is 20
7=7x4 which is 28
10=10x4 which is 40 the answer is 20 cm, 28 cm, and 40 cm.

Hi there,

5=5x4=20
7=7x4=28
10=10x4=40

this is how u get ur answers

Hope this helps best of luck my friend :3

In which states of matter can materials take the shape of their containers?
A. liquid and gas
B. solid and liquid
C. solid and gas

Answers

a liquid and a gas can take shape of their containers

Write 72.98 as a mixed number in simplest form. submit

Answers

72.98 = 72 98/100
= 72 49/50

hope it helps

Daniel has 5 pieces of gum. If he splits the pieces between 6 people, how much will each person get

Answers

DANIEL WILL HAVE 10 AND A HALF

5 divided by 6 is 0.83 repeating. So each person will get 0.8 of a piece of gum if you decide to round the 0.83.

If a cone has the same radius and height as a cylinder, the volume of the cone is

one-fourth one-third half two-thirds

the volume of the cylinder. If a cylinder and a sphere have the same radius and the cylinder’s height is twice its radius, then the volume of the sphere is

one-fourth one-third half two-thirds

the volume of the cylinder.

Answers

The answer to this question would be:
First problem= one-third
Second problem= two-third

To answer this question, you need to know the formula for cylinder volume, cone volume and sphere volume. The formula would be:

cylinder volume = π * r^2 * h
cone volume= π * r^2 * h /3
sphere volume= 4/3 π r^3

From the first problem, the radius and height of the cylinder are same as the cone. Then the calculation would be:
cone volume / cylinder volume= (π * r^2 * h /3) / (π * r^2 * h)= 1/3
The first answer is one-third.

For the second problem, the radius of the cylinder and sphere is same, but the cylinder height is twice as it radius. Then the calculation would be:

volume of sphere / volume of cylinder= (4/3 * π * r^3) / (π * r^2 * h)
(4/3 * π * r^3) / (π * r^2 * 2r) =
(4/3 * π * r^3) / (2 * π * r^3 ) =
(4/3)/2= 4/6 = 2/3
Then the second answer is two-third

The volume of the cone is one-third the volume of the cylinder, if both shapes have the same radius and height

The volume of a cone is represented as:

v = 1/3[tex]\pi[/tex]r^2h

The volume of a cylinder is represented as:

V = [tex]\pi[/tex]r^2h

Substitute [tex]\pi[/tex]r^2h for V in the volume of the cone

v = 1/3V

The above means that:

The volume of the cone is one-third the volume of the cylinder

Answers

Answer:

the answer is negative 5

ABCD is a kite, find the length of BD

Answers:

A. 8
B. 16
C. 12
D. 24

Answers

I think the answer is 16 but I’m not entirely sure

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