Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total.

Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8.

Let RRR represent the number of additional rolls that Sofia orders.

1) Which inequality describes this scenario?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

12+24R \leq 10012+24R≤10012, plus, 24, R, is less than or equal to, 100


(Choice B, Checked)

B

12+24R \geq 10012+24R≥10012, plus, 24, R, is greater than or equal to, 100


(Choice C)

C

24+12R \leq 10024+12R≤10024, plus, 12, R, is less than or equal to, 100


(Choice D)

D

24+12R \geq 10024+12R≥10024, plus, 12, R, is greater than or equal to,

Answers

Answer 1

Inequalities are used to represent unequal expressions.

The inequality is [tex]24 + 8R \ge 100[/tex]

The given parameters are:

[tex]Paid = 24[/tex]

[tex]Rolls = 12[/tex]

[tex]Cost = 8[/tex] --- the unit cost per roll.

Assume the number of additional roll is R.

So, the total number of sushi is:

[tex]Total=Paid + Cost \times R[/tex]

This gives

[tex]Total=24 + 8\times R[/tex]

Multiply 8 and R

[tex]Total=24 + 8R[/tex]

The sushi needed is at least 100.

This implies that:

[tex]Total \ge 100[/tex]

So, we have:

[tex]24 + 8R \ge 100[/tex]

Hence, the inequality is [tex]24 + 8R \ge 100[/tex]

Read more about inequalities at:

https://brainly.com/question/18881247


Related Questions

One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.

Answers

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current

Answers

Answer:

3 miles/hour

Step-by-step explanation:

Well, we already know that the speed at which he paddles is 6 miles/hour

Since his net speed while going down stream is his speed plus the current's speed, here's what we have:

NetSpeed = HisSpeed + CurrentSpeed

Replace the values we already know:

9 = 6 + x

X = 3 miles/hour

An equation that can be used to find the speed of the current is,

4 = 9/(4 - x) + 9/(4 + x).

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Ricky paddles his canoe at a rate of 6 miles per hour in still water.

Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.

The trip took him 4 hours to complete.

The downstream rate = 4 + x

And the upstream rate = 4-x.

Then an equation can be used to find the speed of the current is,

4 = 9/(4 - x) + 9/(4 + x)

Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).

To learn more about the speed;

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#SPJ2

According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?

Answers

I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer

Step-by-step explanation:

did you forget to write the whole question?

PLEASE HELP BRAINLIEST TO THE RIGHT ANSWER!!!!!
A 7.8 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s^2.

A. Determine the tension in the string if it is accelerating upward at a rate of 1.5 m/s^2. Answer in units of N.

B. Determine the tension in the string if it is accelerating downward at a rate of
1.5 m/s^2

Answers

Answer:

88.14 N

64.74 N

Step-by-step explanation:

Ali has q quarters. Tom has four more quarters than Ali.



Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.

Response area + Response area

Answers

Answer: x(.25)+(4+x(.25))=y

Step-by-step explanation:

1. set up the equation-

Ali has an unknown amount of quarters so make that x.

We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

I have 7 friends. I owe 3 of my friends a dollar and 4 of my friends owe me a dollar. I can tell the difference between my friends. How many ways can I settle all the debts given that I start with 0 dollars

Answers

Answer:

2

Step-by-step explanation:

either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.

A half circle is joined to an equilateral triangle whose
sides are each 10 units long.
What is the perimeter of this shape?

Please explain too

Answers

We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.

Remember that for a circle of diameter D, the perimeter or circumference is:

p = pi*D

where pi = 3.14

So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.

Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10

Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:

C = (1/2)*3.14*10 = 15.7

And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:

Perimeter = 15.7 + 10 + 10 = 35.7

If you want to learn more, you can read:

https://brainly.com/question/9350935

In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?

Answers

H =20

G = 8 mor than I

the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer

a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.​

Answers

Answer:

h = √(7.5² - 2.1²) = 7.2 m

Step-by-step explanation:

which function is equivalent to f(n)=(n+2)^2+n^2-4

Answers

f = (n+2)^4 / n
i hope this helps .

Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.
a) Use auto.dta which is an example dataset for this question.
The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)
b) Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)
c) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)
d) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset?

Answers

No organise the STAT for the messages to be able to send

Please take a look at the picture

Answers

Answer:

A and B

Step-by-step explanation:

They both have the same numbers and at least one of the given numbers is negative.

Hope this helps :)

i need some help here plzzzzzzzzzz
NO LINKS!!!!!!

Answers

Answer:

I'm pretty sure it's A,B, and D.

Step-by-step explanation:

What is the prime factorization of 72?

A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2

Answers

Answer:

the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =

Step-by-step explanation:

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

Answer: i think its 4 -4 or 4 and 8

Step-by-step explanation: sorry if imma wrong

6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?

Answers

Answer:

From the looks of the graph, it looks like the answer will be Letter C. (The last graph).

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 3 /4 ,  41 /8 )

Focus:  ( − 3 /4 ,  5 )

Axis of Symmetry:  x = − 3 /4

Directrix:  y = 21 /4

x                  y

− 3               − 5

− 2                2

− 3                4

41                8

0                 4

1                 − 1

Evaluation the following:

A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]

Answers

Answer:

A. √32y²/72x²= 32y/72x

Step-by-step explanation:

√32y²/72x²= 32²/72²

= 32/72.

B. √125m³/36m²

=4192.6/108

=38.8203.

C. √x²/y²-y²/x²

therefore, x²=1, y²=-1

that is, √1/-1 - -1/1= -1(-)-1=0.

(2/3a - 5) - (1/3a + 3) simplify

Answers

Answer:

i have no idea mate

Hey there!

(2/3a - 5) - (1/3a + 3)

= 2/3a - 5 - 1/3a + 3

COMBINE the LIKE TERMS

= (2/3a - 1/3a) - ( -5 + 3)

= 1/3a - 2

Therefore, your answer should be: 1/3a - 2

OR

Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?

Answers

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance  = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

Divide both sides by 4

112 = s

s = 112 km/h

s + 13 = 125 km/hr

maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now

Answers

Answer:

5

Step-by-step explanation:

First subtract 6 from 16 to find how many cucumbers she has,

16 - 6 = 10

Now we know she has 10 cucumbers.

Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.

10 - 5 = 5

After subtracting the 5 cucumbers she gave away, we are left with 5

This means Maya has 5 cucumbers now

do atoms have potential and kinetic energy

Answers

it has potential energy

Answer: Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.

(i searched it and found this. If it helped, pls mark me brainliest! tysm)

i have most important question what is 2+2 ?

Answers

Answer:

4

Step-by-step explanation:

Answer:

When I look at -2^2 I see two operations, a negation and a power (square). The convention in mathematical expressions is that powers are performed before negations (also before additions, multiplications and divisions) so to evaluate -2^2 you first square the 2 to get 4 and then apply the negation to arrive at -4.

With (-2)^2 the parentheses tell you to consider -2 as a single quantity and square it so (-2)^2 = (-2) × (-2) = 4.

I hope it's help

The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ

Answers

Answer:

x + 8

Step-by-step explanation:

Expanding the equation

-4(x-2)+5x = -4(x-2)+5x

= -4x+8+5x

= -4x+5x + 8

= x+8

If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.

Answers

Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)

Answer:

it is A

Step-by-step explanation:

just finished

Please look the picture

Answers

C, 380 is the difference in the number of followers Rossana has and the number of followers Ty has.

A dozen gulab jamuns cost 3.49 how much will 5 dozen cost

Answers

Answer:

17.44

Step-by-step explanation:

if one dozen cost $3.49 than 3.49 × 5 = 17.44

A pattern has 6 blue triangles to every 42 yellow triangles. What is the ratio in lowest form of yellow triangles to blue triangles?

Answers

7 to 1 is the answer

Answer:

7:1

Step-by-step explanation:

The original ratio was 6:42. To simplify this, we can find the greatest common factor for 6 and 42 by listing out their factors.

6: 1, 2, 3, 6

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor they share. We now need to divide each side by this number. This leaves us with 1:7. Since they want us to write the ratio in yellow triangles to blue triangles instead of blue triangles to yellow, we just need to flip the ratio to 7:1.

What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)

Answers

Answer:

B. (-2,3)

Explanation:

First, we'll turn both lines to slope-intercept form:

x + 3y = 7

Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.

3x + 2y = 0

Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.

Now you can graph (I did it for you above⤴⤴⤴).

Hope this helps you :)

There are 350 students graduating on Sunday. 84% of the students are graduating with Bachelor’s degree in Business. How many students are getting their Bachelor's degree in Business?

Answers

Answer:

294 students

Step-by-step explanation:

To find percentage, convert the percent to a decimal and multiple the total number of students

80% --> 0.8

350*0.8 = 294 students

9514 1404 393

Answer:

  294

Step-by-step explanation:

84% of 350 is ...

  0.84 × 350 = 294

294 students are getting their Bachelor's degree in Business.

__

Additional comment

If your calculator does not have a % key, you can perform the multiplication by converting the percentage to a decimal or using it as a fraction. The % symbol is interchangeable with /100, so 84% = 84/100. Of course, this is eighty-four hundredths, which can also be written 0.84.

Any spreadsheet will accept direct input of numbers with an attached % symbol, so you can use one of those for this calculation, also.

Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has

been offered a private loan for 10 years with an APR of 7.8%.

a. Determine her monthly payment.

b. What is the total amount she will pay back?

c. What is the total interest amount?

Answers

Using simple interest, and considering a loan of $5,000, it is found that:

a) Her monthly payment is of $74.17.

b) She will pay back $8,900.

c) The total interest amount is of $3,900.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount. r is the interest rate, as a decimal.

In this problem:

The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]

Item b:

[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]

She will pay back $8,900.

Item a:

$8,900 will be paid in 10 x 12 = 120 months, hence:

[tex]M = \frac{8900}{120} = 74.17[/tex]

Her monthly payment is of $74.17.

Item c:

Loan of $5,000, pays back $8,900, hence:

8900 - 5000 = 3,900

The total interest amount is of $3,900.

A similar problem is given at https://brainly.com/question/13176347

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