A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct?
The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.

Answers

Answer 1

Answer:

D.) The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150

Step-by-step explanation:

The given information says that the total amount of lunch bought should equal $150 when both options cost $5:

[tex]5r+5t=150[/tex]

It also says that the food should feed all 20 employees:

[tex]r+t=20[/tex]

This is now a system. Solve by substitution.

Solve the second equation for r. Use inverse operations to isolate the variable by subtracting t from both sides:

[tex]r+t-t=20-t\\\\r=20-t[/tex]

Now insert this value of r into the first equation:

[tex]5(20-t)+5t=150[/tex]

Simplify the equation. Use the distributive property:

[tex]5(20)+5(-t)+5t=150\\\\100-5t+5t=150[/tex]

Cancel the terms:

[tex]100\neq 150[/tex]

100 does not equal 150, so there is no solution to the system.

:Done


Related Questions

Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1.

Answers

Answer:

the slope is determined by rise over run, meaning you first have to see if the line is negative or positive by the direction it is facing,then you have two points that match accordingly to rise over run,to find out you have to see how many boxes(y) you are rising and however many boxes to the right(x) you are running,then you divide rise/run(look in picture attached for more)

find the cost of 47.2 m cloth if the cost of 1 m cloth is $33.90

Answers

Answer: 1600.08

Step-by-step explanation:

47.2m*33.90

The side of a square is Two raised to the seven halves power inches. Using the area formula A = s2, determine the area of the square.

Answers

Answer:

Step-by-step explanation:

Area of a square = s²

s is the side length of the square

Given

s = 2^{7 1/2}

s = 2^15/2

Area = ( 2^15/2)²

Area = 2^15

Hence two area of the square is 2^15 inches

Answer:

A = 128 square inches

Step-by-step explanation:

A square is a figure with equal length of sides.

Given a square of side, s, [tex]2^{\frac{7}{2} }[/tex] inches.

Area of a square, A = length of side x length of side

                            = s x s

                            = [tex]s^{2}[/tex]

Thus,

A = [tex]s^{2}[/tex]

   = [tex](2^{\frac{7}{2} } )^{2}[/tex]

   = [tex]2^{\frac{14}{2} }[/tex]

   = [tex]2^{7}[/tex]

   = 128

A = 128 square inches

The are of the square is 128 square inches.

Which Password is "safer?" A password made up of a five letter word, or a password made up of a seven digit number? Why?

Answers

Answer:

nether

Step-by-step explanation:

Why well because a good password is like (fake password) goodbuddy74593noice. hard right a good password is numbers AND words

thats a good password.

in The Quadratic Function
f(x) = - 8 x2 + 32 x
At what value of X , The function will reach its maximum height?

Answers

Answer:

x=1/2

Step-by-step explanation:

Tobin and me, the two of us, went down to Coney one day. There was four dollars between us. Tobin had need of distractions. Katie Mahorner, his sweetheart, of County Sligo, was lost since she started for America three months before. She had two hundred dollars of her own savings, and one hundred dollars from the sale of Tobin's inherited estate, a fine cottage and pig on the Bog Shannaugh. Since Tobin got the letter saying that she had started to come to him, not a bit of news had he heard or seen of Katie Mahorner. Tobin advertised in the papers, but nothing could be found of the girl.
adapted from "Tobin's Palm" by O. Henry

From which point of view is this passage written?
A.
Second person
B.
Third person omniscient
C.
First person
D.
Third person limited


please answer I really need help ( well I want to know if it is correct..)

Answers

I think this is written as third person Omniscient

Nandita earned $224 last month.

Answers

Answer:

       X     =      8    x    28 =   224

                   

      Nandita  earns $8 last month by babysitting.

Step-by-step explanation:

                       225

divided by

                          28    

                            8

The equation is x + 28 = 224. Then the amount earned by babysitting will be $196.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Nandita earned $224 last month. She earned $28 by selling cards at a craft fair and the rest of the money by babysitting.

Let 'x' be the amount earned by babysitting. Then the equation is given as,

x + $28 = $224

Simplify the equation for 'x', then we have

x + $28 = $224

x = $224 - $28

x = $196

The equation is x + 28 = 224. Then the amount earned by babysitting will be $196.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

The complete question is given below.

Nandita earned $224 last month. She earned $28 by selling cards at a craft fair and the rest of the money by babysitting. Complete an equation that models the situation and can be used to determine x, the number of dollars Nandita earned last month by babysitting.

What is the nth term rule to -4 -1 2

Answers

Answer:

-8

Step-by-step explanation:

choose the inequality AND the number line that represents this phase.

x is any number lower than 8.

((ITS AN MULTIPLE CHOICE PLEASE DON'T GUESS!!!THANK Y))​

Answers

Step-by-step explanation:

I think the 2nd one is the correct

2. A drop of blood was found spattered on the carpet.
a) There are approximately 5 million red blood cells in one cubic millimetre of the spattered blood. Express
(2 mar
5 million in standard form.About calculation​

Answers

Step-by-step explanation:

5million = 5000000 = 5 x 10^6

Topic: Unit conversion

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

write the standard form of equation of the line that passes through (2, 3) and is parallel to y=2x+3?​

Answers

Answer:

[tex]2x-y=1[/tex]

Step-by-step explanation:

Standard Form of [tex]y=2x+3[/tex]:

Subtract -2x from both sides ([tex]y-2x=2x-2x+3[/tex])Multiple both sides by -1  ([tex]-1*(y-2x=3)[/tex])Rearrange ([tex]2x-y=-3[/tex])

Find New 'c':

Replace -3 with a to find new intercept so the equation will pass through (2,3)  ([tex]2x-y=c[/tex])Fill in x and y, then solve ([tex]2*2-3=c[/tex])[tex]4-3=c[/tex], [tex]c=1[/tex]

Answer:

2x-y=1

Step-by-step explanation:

I TOOK THE QUIZ

If €1 equals 72 pence how much is €410 in pounds

Answers

Answer:

=29520pence

Step-by-step explanation:

€1 = 72 pence

So

€410=410×72

=29520pence

How do you find the area and perimeter of a rectangle. And how do you find the area and perimeter of a square?

Answers

Answer:

The perimeter of a rectangle is P = 2 b + 2 h , where is the base (or width) and is the height (or length). If a rectangle is a square, with sides of length , the formula for perimeter is P s q u a r e = 2 s + 2 s = 4 s and the formula for area is A s q u a r e = s ⋅ s = s 2

Step-by-step explanation:

5+
= 2
3
What the integer that makes the following addition sentence true

Answers

Answer:3

Step-by-step explanation:

Just add the numbers backwards

Answer:

the answer is -3

Step-by-step explanation:

5+-3=2

5-3=2

can u pls help me with this question ​

Answers

Pretty sure it’s A! 10/7

Answer:

A

Step-by-step explanation:

A ratio is a comparison of two quantities(amounts), so if we show the comparison of 10 apples in the fridge to 7 apples on the table, the ratio being the number of apples in the fridge to the number of apples on the table, would be 10:7, 10 to 7, or 10/7

Caleb strung a 12 foot rope from the bottom of one fence post to the top of another. He measured the angle of elevation of the rope as 35°. What is the distance between the two fence posts?

Answers

The answer for this question is b because the angle of elevation of the rope as 35°

25% of 44 books PLEASE HELP RN

Answers

Answer:

11

Step-by-step explanation:

25%=1/4

44*1/4=11

Nikola buys a bouquet of 8 sunflowers for $18.What is the cost of 1 sunflower?

Answers

each sunflower is $2.25. please mark brainliest and have a great day.

find value of x of question number F ​

Answers

Answer:

X=17

Step-by-step explanation:

AC^2=AB^2 +BC^2(PYTHAGOREAN THEORM)

100=64 +BC^2

36=BC^2

6CM=BC

AD^2=AB^2+BD^2(PYTHAGOREAN THEORM)

X^2 =64+225

X^2=289

X=17

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 43 minutes of calls is $18.98, and the remaining credit after 56 minutes of calls is $17.16. What is the remaining credit after 65 minutes of calls?

Answers

hello jump in. ok fine abcd

Hello, HELP!!!!!!!!!!!!!!!! PLS PLS PLS

Answers

Answer:

The answer would be B.

Step-by-step explanation:

1:?

4:12

?:27

If 4:12 is a ratio of 1:3 then we can assume that the other unknown numbers also use this same ratio. So the ratio for 1:? would be 1:3 and the ratio for ?:27 would be 9:27 bringing you back to the original ratio of 1:3

Answer:

i think its b 3 ppl 9 cups

help??
anyone??
thank you

Answers

Answer:

$765.85

Step-by-step explanation:

Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti’s hourly wage? A 1.8% C 18% B 15.25% D 189%

Answers

Answer:

1.8 %

Step-by-step explanation:

Subtract $10.50 from $12.30 and you will get 1.8.

Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

*I hope this helped :)

The percentage increase in Patti’s hourly wage will be 1.8%

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39.

The percentage change will be calculated as:-

Subtract $10.50 from $12.30 and you will get 1.8. Then divide 1.8 by 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

Percentage change = ( 12.39 - 10.50 ) / 10.50

Percentage change = 1.89 / 100

Percentage change = 0.018 x 100 = 1.8%

Therefore, the percentage increase in Patti’s hourly wage will be 1.8%

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

Solve for n, and please give actual answers
4.8+n=6.2

Answers

Answer:

n equals 1.4 your welcome

Answer:

n = 1.4

Step-by-step explanation:

4.8 + n = 6.2

- 4.8        -48

(4.8 - 4.8) + n = (6.2 - 48)

n = 1.4

solve with substitution
y=2x+4
y= 4x-8

Answers

Y= 2x + 4
Substitute y=0
0= 2x + 4
Move variable to the left-hand side and change its sign
-2x=4
Divide both sides of the equation by -2
Answer: X = -2

Y=4x - 8
substitute y = 0
0= 4x - 8
Move variable to the left-hand side and change its sign
-4x = -8
Divide both sides of the equation by -4
Answer: x = -2

Velma has 300 stickers in her collection.57% of them are scratch and sniff. How many stickers are scratched and sniff

Answers

Answer:

171

Step-by-step explanation:

300*0.57=171

Answer:

129

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -3 and y-intercept -1. Then graph the line.

Answers

Answer:

y=-3x+-1 or y=-3x-1; y intercepts(0,-1); x intercepts(0,1/3)

Step-by-step explanation:

y=mx+b

-1=-3*0+b

-1=0+b

(subtract 0 from both sides)

-1=b

So your equation will be: y=-3x-1

The equation of the line with a slope of -3 and y-intercept of -1 is given as y = -3x - 1. And the graph is shown below.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write an equation in slope-intercept form for the line with slope -3 and y-intercept -1.

We know that the equation of the line is given as  

[tex]\rm y = mx +c[/tex]

Where m is the slope and c is the y-intercept. Then the equation will be

[tex]\rm y = -3x - 1[/tex]

Then the graph of the line is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

0.5*0.6 equivalent expression

Answers

If i understand what you're asking then,

0.5*0.6 = 0.3

so you need to find any other thing that would also = 0.3

examples could be:

3/10 = 0.3

0.1+0.2 = 0.3

0.6-0.3 = 0.3

1.0-0.7 = 0.3

a bag of sugar hasa mass of 2kg write an expressions for the mass of n bags of sugar (in kg)

Answers

Total mass (in kg) =2n
the mass is 2*n (kg)

What was her speed?
The graph shows the relationship between the number of
minutes Maria spent jogging on a treadmill and the
distance she jogged.
Ty Miles on the Treadmill
9
8
0.1 mile per minute
05 mile per minute
5 miles per minute
10 miles per minute
Distance on miles)
5 10 15 20 25 30 35 40 45 X
Number of Minutes

Answers

0.1 mile per min

Step-by-step explanation:

lol i’m fye

The solution is,  her speed was, A) 0.1 mile per minute.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

Explanation:

From physics we know that distance, time and speed are related by the following equation:

Speed = Distance/ Time.

So we can write the distance as:

d = s*t

Here we have a line that passes through the origin and whose independent variable is t and dependent variable is d and the slope is s. From the graph, we can calculate the equation of the line as:

y = mx;

where, slope = m = y2 - y1 / x2 - x1

here, (x1, y1 ) = (0,0)

(x2, y2 ) = (10, 1 )

we get, m = 1/ 10

So:

y = x/10

or, y = 0.1 x

As you can see from the graph:

y is related to distance (d)

x is related to time (t)

Therefore, we can rewrite our equation as:

d = 0.1 t

Finally, the speed (s) is:

s = 0.1 per mile

again, we have,

The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:

 (4.5 mi)/(45 min) = 0.1 mi/min

hence, The solution is,  her speed was, A) 0.1 mile per minute.

Learn more: on Speed:

brainly.com/question/12506472

#SPJ7

Other Questions
Can someone plz help me on this, it would me alot to me thx If you can solve this for me, I'll give brainliest. It's due today please help whats the point of learning history, because the only job i found that suits learning about it is being a teacher. Dont just say idk or no reason, i want actual answers If you are having erratic pain in your lumbar region what is it called? A vector quantity is a quantity that has:A.time and directionB.magnitude and directionC.direction onlyD.magnitude and time -7/9 greater or less than -5/8?? help me quick please! PLEASE HELP MEEEE!! How does the ozone layer affect life on Earth? (Site 1) Triangles B and C have been built by dilating Triangle APleas im so close to failing class and can't mess up on this project Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4 * John plans to invest in Casper Inc. Therefore, he is going through the balance sheet of the company. He realizes that the working capital has drastically reduced in the current year because of purchase of fixed assets. How would he view the financial position of Casper? Who held power in Sumeria?a. the peopleb. the merchantsc. the kingsd. the priests Is this statement true or false?A presentation is always in front of a group of people.truefalse what is the midpoint between a(2,-2) and B (-3, 2) Use a model to divide 2 Choose the mole ratio below that is INCORRECT based on the given balanced equation:2 C2H5OH + 7 O2 --> 4 CO2 + 6 H2O O 2 moles C2H5OH = 4 moles CO2 O 7 moles O2 = 2 moles C2H5OH O 4 moles CO2 = 4 moles O2 O 6 moles H2O = 7 moles O2 The Eads Bridge, which crosses the Mississippi River near St Louis, Missouri, was one of the first all steel bridges built in the world. The bridge was built by the Keystone Bridge Co.pany, and, during development, engineers decided that all-steel would be the best construction, even though it was more expensive, because it would have the greatest strength, which was needed due to the beidge's size. This description of engineering can be classified as __A.) Neither a case study nor case historyB.) A case history C.) A case studyD.) Both a case study and a case history. Metal are malleable and ductile. Explain on the basis of the electron sea level? Why cant a play be evaluated with the same standards as a painting? What is one source of methane? 2(x - 5) = 9 -3x + 6 + 8 + 3x + 7