A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.



2. What is the cost of making one burrito? (Remember that costs are negative.)

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Answer:

10/11

Step-by-step explanation:

Using mathematical operations, the amount that would be saved by buying 3 dresses instead of buying per piece is $3.40.

The mathematical operations include the following basic operations: addition, subtraction, division, and multiplication.

Mathematical operations determine the results of mathematical expressions and problems.

Cost of a dress = $6.20

Cost of 3 dresses = $15.20

Cost per dress if 3 dresses were bought = $5.067

Amount saved for buying 3 dresses instead of one = $3.40 ($6.20 x 3 - $15.20)

Thus, mathematically, the customer would save $3.40 by buying 3 dresses for $15.20 instead of buying at $6.20 per unit.

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Answer:

13 cents.

Explanation:

Divide 1.30 by 10 to find your answer.

1.30/10 = 0.13.

James paid 0.13 for each pencil.

Hope this is correct, have a great day.

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

Answer:

Option C

Step-by-step explanation:

have a great Day

Given:

an intersection is given as

(-13, 7] ∩ [7, 12)

Find:

we have to find the elements of intersection.

Explanation:

we know the intersection of two sets contains the common elements of both sets.

Therefore, The intersection (-13, 7] ∩ [7, 12) = {7}

Because, only 7 is the common element of (-13, 7] and [7, 12).

Therefore, (-13, 7] ∩ [7, 12) = { 7 }

\(\huge\text{Hey there!}\)

\(\huge\textbf{Original equation/problem:}\)

\(\mathbf{687\times391}\)

\(\mathbf{= 391\times687}\)

\(\mathbf{= 268,617}\)

\(\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}\)

\(\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}\)

\(\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}\)

\(\huge\textbf{New equation:}\)

\(\mathbf{700 \times 400}\)

\(\mathbf{= 400\times700}\)

\(\mathbf{= 280,000}\)

\(\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.

A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:

Perimeter of a rectangle = 2(length + width).

Given the following:

Therefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:

Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)

Combine like terms

Perimeter of rectangle = 2(7.3q - 6.7)

Perimeter of rectangle = 14.6q - 13.4

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Answer:

its actually 11.96

Step-by-step explanation:

because divide 17.94 by 3 = 5.93

5.93 times 2 = 11.96

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

Answer:

Step-by-step explanation:

Given data

cost of blueberries = $4 per pound

cost of grapes = $3 per pound

total amount at hand =$15

let the number of blueberries be x

cost of x blueberries=4x

let the number of grapes be y

cost of y grapes=3y

therefore the total is

4x+3y<=15

The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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Answer:

8/3

Step-by-step explanation:

we call the number as "x":

\(4 \frac{5}{9} = 2 \frac{1}{3} + ( \frac{5}{6} )(x) \\ \\ \frac{41}{9} = \frac{7}{3} \times \frac{5x}{6} \\ \\ multiply \: all \: of \: them \: by \: 18 \\ 82 = 42 + 15x \\ 15x = 40 \\ x = \frac{40}{15} = \frac{8}{3} \)

Answer:

x=35 hrs

1 hour =105

cross mutiply

105÷35=3

The equation that describes the situation is 35x = 105.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

William drove 35 miles per hour for a total of 105 miles.

The total miles William drove is 105 miles.

The speed at which he drove is 35 miles/ hour.

The total time he drove is given by x hours.

The equation has to be formed for this situation.

Speed is defined as the distance traveled with respect to time.

35 = 105 / x

35x = 105

This equation describes the given situation.

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Answer:

Any constant that is set to equal x would have an undefined slope.  For example, x=0 is just a horizontal line, so the slope is undefined.  

Step-by-step explanation:

The slope would be undefined because in a horizontal line, the length could be anything, but there is no distance between x-values.

Answer:

X=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

7

−

2

7

The probability of getting a red card and rolling a 5 is = 3/85

First, we want to find the probability of rolling a 5.

There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:

P = 1/5.

Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:

P' = 3/(3 + 6 + 8) = 3/17

The joint probability is given by the product between the individual probabilities:

prob = P*P' = (1/5)*(3/17) = 3/85

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Answer:

$95.00 = $3.99s + $15.20

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

The value of the exponent equation (2x⁴y⁷)² yields 4x⁸y¹⁴

An equation is used to show the relationship between two or more numbers and variables.

Given the polynomial:

(2x⁴y⁷)²

Separating each variable gives:

(2 * x⁴ * y⁷)²

Applying the law of exponents gives:

2² * (x⁴)² * (y⁷)²

= 4 * x⁸ * y¹⁴

= 4x⁸y¹⁴

(2x⁴y⁷)² yields 4x⁸y¹⁴

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Answer:

1.1

Step-by-step explanation:

Answer:

Your average improved by 13 \(\frac{1}{3}\) %.

Step-by-step explanation:

First set:

(75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90) ÷ 9 = 77 \(\frac{2}{9\\}\) %

Second set:

(85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90) ÷ 9 = 90 \(\frac{5}{9}\) %

Improvement:

90 \(\frac{5}{9}\) % - 77 \(\frac{2}{9\\}\) % = 13 \(\frac{1}{3}\) %

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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