The school cafeteria sells three different types of sandwiches: chicken, turkey,

and roast beef. Chicken sandwiches sell for $3, turkey sandwiches sell for

$3.50, and roast beef sandwiches sell for $4. The cafeteria makes 400

sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in

$1375. If the cafeteria makes the same number of chicken sandwiches as it

does turkey sandwiches, how many of each type of sandwich does the school

make? (Hint: Write one equation for the number of sandwiches, one equation

for to amount of money all the sandwiches cost, and an equation that show the

number of chicken and turkey sandwiches are equal.)

No

Answers

Answer 1

Answer:

Number of chicken sandwiches = 150

Number of turkey sandwiches = 150

Number of roast beef sandwiches= 100

Step-by-step explanation:

We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.

Let chicken be x, turkey be y and roast beef be z.

We are told they make 400 sandwiches in total.

Thus;

x + y + z = 400

However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.

Thus, x = y

Thus;

Total is now;

x + x + z = 400

2x + z = 400 - - - (eq 1)

Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.

Thus;

3x + 3.5y + 4z = 1375

Since x = y. Thus;

3x + 3.5x + 4z = 1375

6.5x + 4z = 1375 - - - (eq 2)

Let's make z the subject in eq 1.

Thus;

z = 400 - 2x - - - (eq 3)

Putting 400 - 2x for z in eq(2) gives us;

6.5x + 4(400 - 2x) = 1375

6.5x + 1600 - 8x = 1375

1600 - 1375 = 8x - 6.5x

225 = 1.5x

x = 225/1.5

x = 150

Putting 150 for x in eq 3 gives;

z = 400 - 2(150)

z = 400 - 300

z = 100

Since x = y. Then y = 150


Related Questions

Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?

Answers

Step-by-step explanation:

A. For Tavon's gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=145-3.5x------1

for Tavon's second gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=125-3x-------------2

B. equating 1 and 2 we have

145-3.5x=125-3x

solve for x we have

145-125=-3x+3.5x

20=0.5x

divide both sides by x we have

x=20/0.5

x= 40

put x=40 in

y=145-3.5*40------1

y=145-140

y=$5

put x=40 in

y=125-3*40------1

y=125-120

y=$5

Point Mis the midpoint of segment AC. Point M is located at (25.5, 60.1), and point Cis

located at (18.3, 72.5).

A

B

M (25.5, 60.1)

D

C (18.3, 72.5)

Find the location of point A. Round to the nearest tenth.

"write your answer as a coordinate with parenthesis and a comma separating the x and y.

value

Answers

Answer:

(21.9, 66.3)

Step-by-step explanation:

Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)

The formula for calculating the midpoint is expressed as;

M = {(x1+y1)/2, (y2+y1)/2}

X = (x1+y1)/2

Y = (y2+y1)/2

From the given coordinates A (25.5, 60.1) and C (18.3, 72.5)

x1 = 25.5, y1= 60.1, x2 = 18.3 and y2 = 72.5

X = (25.5+18.3)/2

X = 43.8/2

X = 21.9

Y = (72.5+60.1)/2

Y = 132.6/2

Y = 66.3

The midpoint of the coordinates M will be M(21.9, 66.3)

please help me and don't just write a random answer for the points. thank you

Answers

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?

Answers

Answer:

44

Step-by-step explanation:

75-31=44

Answer:

44 books

Step-by-step explanation:

75-31=44

simple math

4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.​

Answers

Answer: D) To make sure the value does not make the denominator 0.​

We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.

Help? Someone please?!

Answers

Answer:

b, d,

Step-by-step explanation:

The answer is B or d

Max and his brother exercise together. Max does half as many sit-ups as his brother does during a workout. If Max's brother does between 100 and 150 sit-ups, which expression describes s, the number of sit-ups that Max does?
A. 0 ≤ s ≤ 50
B. 50 ≤ s≤ 75
C. 100 ≤ s ≤ 150
D. 200 ≤ s ≤ 300

Answers

Answer:C is the correct answer,

Step-by-step explanation:

50 ≤ s≤ 75 describes the number of sit-ups that Max does so option (B) will be correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Max does "s" number of sit-ups then max brother will do "2s".

Now,

Given that,

Max's brother does between 100 and 150 sit-ups

So,

100 ≤ 2s ≤ 150

Divide by 2 into both sides

50 ≤ s ≤ 75

Hence " 50 ≤ s≤ 75 describes the number of sit-ups that Max does".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?

Answers

Answer:

10.59

Step-by-step explanation:

3.53×3

what is 1+3x when x=1

Answers

Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

the answer is 4

Step-by-step explanation:

you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first

Round 685,135 to the nearest ten thousand.

Answers

685,135>684,999 so it’s rounded up to 690,000

Answer:

690,000

Step-by-step explanation:

The 8 is the ten thousands place- 685,135

If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.

A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.

Answers

The answeris : y=35x+75

At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken
per pound?

Answers

Answer:

$3.75 per pound of chicken

Step-by-step explanation:

Price of 3 pounds of cheese      $ 4.50x3= $13.50  

$24.75-$13.50 = $11.25 (price of 3 pounds of chicken)

Chicken          : $11.25/ 3   =  $3.75 per  pound

$11.25 + $13.50 = $24.75

What is the answer to 0.75 (6+d)=12 step by step

Answers

Answer:

step 1:   0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75 = 5.25

It's correct answer

Step-by-step explanation:

A restaurant manager states the number of customers that enter the restaurant is equal to 4

times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also

states that the number of customers that enter their restaurant is equal to 1 times the number of

people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog

from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round

your answer to the nearest whole number.

Answers

Answer:

9

Step-by-step explanation:

No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.

The number of customers that enter their restaurant is equal to 1 times the number of  people that buy a hotdog from the hotdog cart plus 38.

The equation that shows the given condition,

4x + 11 = 1x + 38

x is the no of people

Taking the like terms,

4x-1x=38-11

3x=27

x = 9

So, there are 9 people buying a hotdog  from the hotdog cart.

What is the purpose of the AutoSum feature in Microsoft® Excel? A. To automatically add all numbers in all cells in a workbook B. To add a list of numbers in a spreadsheet C. To put a list of numbers in order before finding the sum D. To estimate the total of a list of numbers

Answers

Answer:

B. To add a list of numbers in a spreadsheet

Step-by-step explanation:

AutoSum feature in Microsoft Excel is used to automatically sum up a range of numbers within a horizontal row or vertical column without having to input a formula.

When a range of numbers are selected within a row or column, clicking on AutoSum will sum up the numbers in the adjacent empty cell. For example, if you wanted to add the values of cells between B1 and B10, highlight cells B1 through B10 and click the AutoSum button . The sum of B1 to B10 will be given in B11.

In Excel 2010 and later, the AutoSum feature is on the Home tab, in the Editing section.

When the midpoints of a polygon with 14 sides are joined by the mid-segments, the resulting inscribed polygon will have how many sides? What if you inscribed another polygon inside the second polygon? How many sides would this new polygon have?

Answers

Answer:

im not sure if this is right or not but i think its 23

Step-by-step explanation:

HELP PLEASE WILL GIVE BRAINLIEST!

Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.

Which inequality represents the given situation?


A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19

Answers

we can eliminate A and C first because A says 17 would be the most or equal to when we know she said 19 would be the most and C says that 19 would be the least or equal to. so the answer would be D. but it’s D because B says 17 would be the most or equal while saying 19 would be the least and we know that’s not true.

TL;DR: the answer is D


Estimate 8,633 x 57,008

Answers

Answer: 492150064

Step-by-step explanation:

Answer:

Step-by-step explanation:

Round 8633 to 9000

Round 57008 to 57000

Multiply 9 by 57 and place the six zeros beside your answer

9×57= 513

9000×57000= 513000000

The graph shows the linear parent function . Which statement best describes the function?
A. The function is negative when x<0 and also when x>0
B.the function is never negative
C.the function is negative when x>0
D. The function is negative when x<0

Answers

Using function concepts, it is found that the correct option is given by:

D. The function is negative when x<0

How the sign of a function is determined?If the graph is above the x-axis, it is positive.If the graph is below the x-axis, it is negative.

In this problem, the graph of the function is the red line, and:

For values of x < 0, the function is below the x-axis, hence it is negative.For values of x > 0, the function is above the x-axis, hence it is positive.

Thus, option D is correct.

You can learn more about functions at https://brainly.com/question/25897115

The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.

Answers

Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C gle A, angle B

Answers

Answer:

c.gle c.angel B

Step-by-step explanation:

consider the triangle which shows the order of the angles from smallest to largest?

Translate the following into an equation:
"Six added to the product of a and three is two times the difference of a and nine."

Answers

I think it’s 6+3a=2(a-9)

Can you help, Solve for x. -2 + 3x = 2х + 6 +
X

Answers

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

Please help or i get a detention!

Answers

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Find the measure of ∠7.

Given:
∠1 is a right angle
∠3 = 37°
∠8 =62°

A. 53°
B. 65°
C. 105°
D. 127°
E. 245°

Answers

Answer:

The answer is B: 65.

Angle 8 + angle 7 = right angle + 37 degree

, 62 degree + angle 7 = 127 degree

, angle 7 = 127 degree - 62 degree

, = 65 degree

A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?​

Answers

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

Which of the following is an arithmetic sequence?

-2, 4, -6, 8, ...
2, 4, 8, 16, ...
-8, -6, -4, -2, ...

Answers

Answer:

-8, -6, -4, -2

Step-by-step explanation:

This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.

The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.

The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.

Answer:-8,-6,-4,-2

Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on

What is the value of x? What is the measure of angle 6? Show all of your work and/or explain your answer.

Answers

Answer:

1) 5 & 9

5=Corresponding Angle

9=Alternate Exterior Angle

2) 7 & 8

We know 4 is supplementary to 8.  Since that is true, 7 & 8 are also.

8=Corresponing angle to 4

7=Verticle angle to 8

3) We know 1 and 3 equal 180

x-20+x+40=180

2x+20=180

2x=180-20

2x=160

x=80

<2=X+20

=80+20

=100

Angle 2 is the same as angles 5 and 6 added together.

We know angle 5 is the same as angle 1 (corresponding angles).

<1=X-20

=80-20

=60

Now that we know <2=100 and <5=60, we can figure out <6

100-60=40

<6=40°

Step-by-step explanation:

1) 5 & 9

5=Corresponding Angle

9=Alternate Exterior Angle

2) 7 & 8

We know 4 is supplementary to 8.  Since that is true, 7 & 8 are also.

8=Corresponing angle to 4

7=Verticle angle to 8

3) We know 1 and 3 equal 180

x-20+x+40=180

2x+20=180

2x=180-20

2x=160

x=80

<2=X+20

=80+20

=100

Angle 2 is the same as angles 5 and 6 added together.

We know angle 5 is the same as angle 1 (corresponding angles).

<1=X-20

=80-20

=60

Now that we know <2=100 and <5=60, we can figure out <6

100-60=40

<6=40°

find the value of the variable (3p-6)

Answers

Answer:1/3

Step-by-step explanation:

3p- -5=6

- and - becomes +

3p+5=6

transpose 5 to the other side

3p=6-5

because on transposing + becomes -

3p=1

p=1/3

because multiplication changes to addition on transposing

please mark me as brainly .

WILL CASHAPP¡¡¡

I will cash app the first person $10 that completes these questions correctly

Answers

Answer:

A=2

B=1

C=4

D=5

E=3

130 degrees

138 degrees

angle 2 is not alternate exterior to any angle

angle 6

Step-by-step explanation:

sorry about that I don't know what I was thinking

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