Each chef at "Sushi Emperor" prepares 15 1515 regular rolls and 20 2020 vegetarian rolls daily. On Tuesday, each customer ate 2 22 regular rolls and 3 33 vegetarian rolls. By the end of the day, 4 44 regular rolls and 1 11 vegetarian roll remained uneaten. How many chefs and how many customers were in "Sushi Emperor" on Tuesday?

Answers

Answer 1

Answer:

2 chefs and 13 customers

Step-by-step explanation:

Let the number of chefs is x and the number of customers is y.

Regular rolls

Prepared 15x, eaten 2y, left 4

Equation:

15x = 2y + 4          >>> (1)

Vegetarian rolls

Prepared 20x, eaten 3y, left 1

Equation:

20x = 3y + 1          >>> (2)

We have a system.

Solve it by elimination, multiply the first one by 4 and the second one by 3:

15x*4 = 2y*4 + 4*4 ⇒ 60x = 8y + 1620x*3 = 3y*3 + 1*3 ⇒ 60x = 9y + 3

Compare the equations:

8y + 16 = 9y + 39y - 8y = 16 - 3y = 13

Substitute the value of y into first equation and solve for x:

15x = 2*13 + 415x = 30x = 2

Answer 2

Answer:2 Chefs and 13 customers.

Step-by-step explanation:


Related Questions

what is the expression (4c-3d)(3c+d) equivalent to?

Answers

Answer:

The expression is equivalent to 12c^2 - 5cd - 3d^2 (4c - 3d) (3c + d)

EMERGENCY!! PLEASE HELP ME IMMEDIATLEY PLEASE!!!

Answers

x = -5
It is a undefined slope.

Aria is ordering a taxi from an online taxi service. The taxi charges $4 just for the
pickup and then an additional $1.25 per mile driven. How much would a taxi ride
cost if Aria is riding for 2 miles? How much would a taxi ride cost that is m miles
long?

Answers

Answer:

Riding 2 miles = $6.50

Riding m miles: C = 1.25m + 4

Step-by-step explanation:

(1.25)*(2) + 4 = $6.50

I WILL MARK BRAINLIST CROWN FOR HELP ASAP

Answers

Answer:

3rd option

Step-by-step explanation:

Given the recursive formula with a₁ = - 3 and d = 10

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d , that is

[tex]a_{n}[/tex] = - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13

Y’all in need help. I can’t not finger it out

Answers

9514 1404 393

Answer:

  E, D, A, C, B

Step-by-step explanation:

It is all about rounding.

To estimate the product, round each value to 1 significant figure. For example, 46.7 rounds to 50, and 31.7 rounds to 30. The estimate of the product will be the product of these rounded values: 50·30 = 1500.

__

Top to bottom, the appropriate estimates are ...

  E, D, A, C, B

where the right-side choices are given letters A-E, top to bottom.

3
Which expression is equivalent to
(5ab)
30 66-7? Assume a*0,6+0.
a'610
6
125a18621
30
-
25ab4
6
25a610
6

Answers

Answer:

d

Step-by-step explanation:

cause math

The equivalent expression of (5ab)^3/30ab^-7 is 25 a^2b^10/6.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have

to determine the equivalent expression:

The expression is given as:

(5ab)^3/30ab^-7

Expand the numerator

(5ab)^3/30ab^-7

= 125 a^3b^3/30ab^-7

Divide 125 and 30 by 5

(5ab)^3/30ab^-7

=25 a^3b^3/6ab^-7

Apply the law of indices

(5ab)^3/30ab^-7

=25 a^(3-1) b^(3+7) /6

Evaluate the exponent

(5ab)^3/30ab^-7

=25 a^2b^10/6

Hence, the equivalent expression of (5ab)^3/30ab^-7 is 25 a^2b^10/6.

Read more about equivalent expression at:

brainly.com/question/2972832

#SPJ7

What is the slope of the line

Answers

Answer:

The slope = 2

Step-by-step explanation:

Slope is rise over run.

The line rises 2 units up for every 1 unit it moves right.

Thus, the slope would be 2/1, which is the same as 2.

Prove the identity (x+y)^-2xy=x^2+y^2

Answers

proooooof is in picture....

whats is the difference between a factor and multiple

Answers

Answer:

a factor is a number that divides another number without leaving any remainder. , A multiple is a number that, when divided a certain of times by another number, no remainder is left.

Step-by-step explanation:

Answer:

Main Differences Between Factor vs Multiple

Let us further discuss the difference between factor and multiple in the table below.

Basis of Comparison Factor Multiple

Definition It is a figure that gives a specific or definite outcome when it divides another figure It is the product of two whole numbers.

Results Less than or equal to such a specific figure Greater than or equal to the given figure.

Numbers of Result Limited Unlimited or continuous

Operation involved Division (÷) Multiplication (×)

Illustration If A divides B, A is factor of B If A is divisible by B and C, A is a multiple of B and C.

Difference Between Factor and Multiple: Conclusion

In conclusion, multiple vs factor concept is distinctive because the former uses multiplication (×) as a method of operation while latter uses division (÷). However, these two operations can be used together in a given equation or mathematical problem to get an expected outcome.

Though these two concepts are mostly taught in the elementary classes, they are inevitable in the arithmetic circus. One must be grounded in them and be sure of how they are applicable in every relevant equation. The good thing is that this guide has shown you their meanings, how to apply them, and the key discrepancies.

Step-by-step explanation:

A rectangular pyramid has a height of 10 meters. If the sides of the base measure 3 meters and 5 meters, what is the volume of the pyramid

Answers

Answer:

the volume is 50

Step-by-step explanation:

The volume of a pyramid is found by using the formula V = lwh/3

If you multiply 3 5 and 10 you get 150

Dividing 150 by 3 gives you 50

Give the slope-intercept form of the equation of the line that is perpendicular to –7x – 8y = 12 and contains P(–3, 1)

Answers

Answer:

(-7/8)

Step-by-step explanation:

the line is  -7x -8y =12

its slope = -(-7/-8)= -7/8

it passes through P(-3, 1)

(y-1)=(-7/8)(x+3)

y-1 = (-7/8)x - 21/8

y = (-7/8)x -13/8

The equation for line k can be written as 4x+7y=7. Line l includes the point (7,3) and is parallel to line k. What is the equation of line l?

Answers

Answer:

[tex]4x+7y=49[/tex]

Step-by-step explanation:

If you don't want to go through the slope-intercept form, you can easily see that two parallel line have their x and y coefficients in the same ratio, in our case 4:7. Let the new line be, then, [tex]4x+7y=k[/tex] and state that passes through our point: [tex]4(7)+7(3) = k \rightarrow k=49[/tex]

1. -16+-3=

2. -9 + -4=



Answers

Step-by-step explanation:

1.) -16 + (-3) = -(16 + 3) = -19

2.) -9 + (-4) = -(9 + 4) = -13

-Easy

Given the diagram below angles 6 and 7 are an example of:

Answers

Step-by-step explanation:

Vertical opposite angles

In the right triangle below, an altitude is drawn to the hypotenuse. Solve for x.

Answers

Answer:

Please include the triangle and repost.

-18x + 27 -10x=1 solve for x

Answers

Answer:

Solve each equation for x. 1. 12x² + 48x + 23 = -22 ... Solving Quadratic Equations (B) Answers ... 3x² + 18x + 27 = 0. 6x² - 2x - 48 = 0. (3x + 9) (x + 3) .

Step-by-step explanation:

You want to go on a swamp tour. How long does it take a swamp vehicle that travels at 3.2 miles per hour to travel across the
swamp, from point Z to point Y

Answers

Answer:

[tex] \frac{x}{10 } = \frac{30 }{6} \\ \frac{6x}{6} = \frac{30}{6} \\ x = 5miles[/tex]

Answer:1.5625

Step-by-step explanation:

You dilate the bottom triangle by two and divide that by 3.2

Help me!! Due TODAY!!

Answers

[First one, aka #13] is a

- If a 20-gallon bathtub is draining at a rate of 2.5 gallons, the max will be 20 gallons. Since it is water/etc, you cannot have negative water, so the least amount will be 0. We now have 0 ≤ ? ≤ 20

- What variable do we use? We are talking about gallons, so we will use g (gallons remaining) to get our answer of a, which is  0 ≤ g ≤ 20

[Second one, aka #11] is d

- I made the system

s - 18 = t

12s = 10t + 32

- Because one sport (s) has 18 less than one technology (t), so s - 18 = t. 12 sport (12s) has 32 more than 10 technology (10t) so if you add 32 to technology, you will get sport (12s = 10t + 32 )

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Explain how the Quotient of Powers Property was used to simplify this expression.

5 to the fourth power, over 25 = 52

A- By simplifying 25 to 52 to make both powers base five and subtracting the exponents
B- By simplifying 25 to 52 to make both powers base five and adding the exponents
C- By finding the quotient of the bases to be one fifth and cancelling common factors
D- By finding the quotient of the bases to be one fifth and simplifying the expression

Pls help its for flvs work

Answers

Answer:

A

Step-by-step explanation:

5^4/25 = 5²

5^4/5² = 5²

5^(4 - 2) = 5²

5² = 5²

Rewrite the denominator 25 as 5². The subtract exponents, 4 - 2 = 2.

Answer: A

pls answer this i need help

Answers

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.

therefore, the correct simplification looks like

16 - 8 - 6x

8 - 6x or -6x + 8

Amelia multiplied correctly, but then made a mistake summing things up

10x - 3(4x + 1)

10x - 12x - 3

10x - 12x = -2x

I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

so, the result is

-2x - 3

-. Mimi deposited $2,500
in the bank at a 4%
interest rate for 7 years.
What is the interest and the total

Answers

Answer:

The total is $3,725

and the amount earned in interest is $1,225

Step-by-step explanation:

$2500 multiplied by 7% = $175

$175 * 7years =$1,225

$1,225 (interest) + $2500 (starting amount) = $3,725

An airline gathers data on late departures and early arrivals over a month. It finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. Which equation shows how to correctly calculate the probability of a late departure or an early arrival? P(late departure or early arrival) = 0. 12 0. 04 P(late departure or early arrival) = 0. 12 0. 27 P(late departure or early arrival) = 0. 12 0. 27 â€" 0. 04 P(late departure or early arrival) = 0. 27 0. 04 â€" 0. 12.

Answers

Answer:

c

Step-by-step explanation:

The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

What is probability?

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

To learn more about probability visit:

brainly.com/question/24756209

#SPJ2

Hey guys could someone please help? Thank you :)

While visiting United States, a traveler saw an advertisement promoting 4 pounds of apples for $12.00. The traveler weighs 6 apples and finds that they weigh 1.5 pounds. What is the cost of a dozen apples?

Answers

Answer:

9

Step-by-step explanation:

6=1.5

12=3.0

3.0=9$

If you wondering how I got it it is because if you 12/4=3=3.0 x 3 = 9

Consider the expression 8ab+3b+16-4a How many terms are there , How many factors are in the first term , which term is a constant ?

Answers

Answer:

First there are 4 terms. I think/believe that there are 3 factors in the first term. And the answer to the last question is 16 or term 3.

Step-by-step explanation:

I hope this helps, plz mark me as brainlyest anyways I hope you get a good score on your test!!

Answer:

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

Step-by-step explanation:

Pleaseeee Helpp!!!!!!!

Answers

Answer:

It's a translation because if it were a rotation, it would be flipped the other way.

Step-by-step explanation:

Answer:

It is a translation.

Step-by-step explanation:

The flag was translated either up or down. So basically all the flag did was move, it did not rotate.

2^-3 x 3^-2

what’s the answer as a fraction?

Answers

Answer:1/72

Step-by-step explanation:

Answer:

1/72

Step-by-step explanation:

[tex]2^{-3}[/tex] x [tex]3^{-2}[/tex]

=> [tex]\frac{1}{2^{3} }[/tex] × [tex]\frac{1}{3^{2} }[/tex]

=> [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{9}[/tex]

=> [tex]\frac{1}{72}[/tex]

Therefore, 1/72 is our answer.

Hoped this helped.

What scale factor should I use?

Answers

1/7

Proof:
14 * 1/7
14/1 * 1/7 = 14/7
14/7 =2

21 * 1/7
21/1 * 1/7 =21/7
21/7 =3

What is 300+70+5/10+8/100 what decimal is it

Answers

Step-by-step explanation:

so 4.93 I think and your welcome

Answer:

370.58

Step-by-step explanation:

Do 300+70+0.5+0.08

Which of the following terms best describes the graph of the exponential
function given below?
f(x) = 6 •(1/3)

A. Increasing
B. Constant
C. Linear
D. Decreasing

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

a tree that grows 3 feet every 5 years is growing at a rate of *blank* feet per year

0.6
15
60

( ill give brainly to whoever answer first w an explanation)

Answers

A tree that grows 3 feet every 5 years is growing at a rate of 0.6 feet per year

Answer:

0.6 ft/yr

Step-by-step explanation:

3 ft / 5 yr = (3/5) ft/yr

(3/5) ft/yr = 0.6 ft/yr

Other Questions
The sum of three numbers is 301. The second number is 3 less than twelve times the first number. The third number is 4 more than seven times the first number. Find the three numbers. composer expelled from the paris conservatoire in 1882 what are the muscular ridges within the ventricles called? what is 4e - 3f + 6f - 3e I am really confused and I don't know the answer By which rule are these triangles congruent?A)AASB)ASAC)SASD)SSS CONSIDER THE EQUATION WHAT IS THE VALUE OF X THAT MAKE THIS EQUATION TRUE Joseph is writing a report tracing the three-month development of a new office site. What type of organizational method should he use Select the correct answer from each drop-down menu.What is the temperature range in which bacteria thrive in food?The range of temperatures between 20,40,60 degrees F & 100,120,140 degrees F which degrees would be the temperature that harmful bacteria thrives in. American ships became targets of attack by 1917 because please help What is the equation of the line in slope-intercept form? Vocabulary How do you know if a situation represents a proportional relationship? Help! Will give brainliest! Which statement is an accurate description of the way the conquistadors treated Native Americans?The conquistadors protected the Native Americans from outside invaders.The conquistadors paid the Native Americans in gold to be allowed to travel through their lands.The conquistadors opened schools for Native Americans where they taught them to care for their lands.The conquistadors believed it was their duty to convert Native Americans to Christianity. Prove that a triangle having sides 13 cm 24 cm and 13 cm has the equal area to another triangle having sides 29 cm 25 cm and 6 cm. Why did the U.S. raise tariffs and why was it a poor decision during this time?A.To try and bring in more money to the American economy. It was a poor decision to raise tariffs because other countries didn't want to or could not afford to pay the tariffs.B. To punish Great Britain, France, and Germany for not paying back the money they owed to U.S. banks. It was a poor decision to raise tariffs because it brought in more trade. Solve for the measure of angle G in degrees..... Find the values of x and y. State which theorem you used 5. Which of the following is the graph of the equation y = 2x^2 3x + 4? In 1830, President Jackson pushed through Congress the Indian _______ Act, which provided money for relocating Native Americans. * How do subcultures enrich the larger cultures of Europe?