Factor 8(9)-18

A. 18(4-1)
B. 9(8-18)
C. 9(8-2)
D. 18(1-4)

Answer:

48 burgers with onions

Step-by-step explanation:

7 = 4 = 11 sets of burgers with & without onions

132 / 11 = 12

4 x 12 = 48 burgers with onions

Answer:

48 burgers also onions

Step-by-step explanation:

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer: 2:3

Step-by-step explanation:

minutes per day on weekdays:minutes per day on weekends

90:135

It can be written in simplier form, because both numbers can be divided by 45

90÷2=45 and 135÷45=3

The ratio is 2:3.

Answer:

25, 34, 43

Step-by-step explanation:

its +9 per number

The values of a and b are :

\(a = \sqrt{3} \\ \\ •\sqrt{3} b = - 1 \\ \\ b = \frac{ - 1}{ \sqrt{3} }. \)

Answer:

\((x,y) = (\¾, \frac{5}{2})\)

Step-by-step explanation:

Given

\(Ratio = 1 :3\)

\(A = (-3, 2)\)

\(B = (12 , 4)\)

Required

Determine the coordinates at the given ratio

This is calculated using the following formula

\((x,y) = \frac{mx_2 + nx_1}{ m + n}, \frac{my_2 + ny_1}{m + n}\)

Where:

\(m : n = 1 : 3\)

Substitute values for x1, x2, y1, y2, m and n

\((x,y) = (\frac{1 * 12 + 3 * -3}{1 + 3},\frac{1 * 4 + 3 * 2}{1 + 3})\)

\((x,y) = (\frac{12-9}{4},\frac{4 + 6}{4})\)

\((x,y) = (\¾,\frac{10}{4})\)

The coordinates is at point: \((\¾, \frac{5}{2})\)

Answer:

Mrs. Habib will have 22.25 feet of border left after she puts border around the board.

Step-by-step explanation:

You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is \(P=2(l+w)\), where \(l=\) the length of the board, and \(w=\) the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

\(P=2(8.25+3.75)\)

Now you can just solve for the perimeter.

\(P=2(12)\)

\(P=24\)

The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.

\(46.25-24=22.25\)

Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.

Answer:

x = 28

Step-by-step explanation:

Answer:

x=28

3x+12 = 2x+40

x+12 = 40

x = 28

The area of the given triangle is 28 squared feet

The area of a triangle is a measure of the amount of space enclosed by the triangle. It is a scalar quantity, meaning that it is a single numerical value with no direction.

The area of a triangle can be calculated using various formulas, depending on the information available about the triangle.

In this problem, we have the value of base and the height of the triangle.

The formula is given as;

A = 1/2 b * h

Substituting the values into the formula;

A = 0.5 * 7 * 8

A = 28 squared feet

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Answer:

870.48

Step-by-step explanation:

Answer:

870.92

Step-by-step explanation:

The product of two rational numbers is a rational number.

In any field containing integers, rational numbers, along with addition and multiplication, produce a field that also contains the integers. In other words, a field only has characteristic zero if and only if it contains the field of rational numbers as a subfield. The field of rational numbers is a prime field.

"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."

Therefore, when we are multiplying two rational numbers, their product must be a rational number.

This is because, numerators of both rational numbers are integers and denominators of both the numbers are non-zero integers.

Hence, the product is a rational number.

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The dimension of each corral should be 25 feet in width and 33⅓ feet in length so that the enclosed area will be a maximum.

Adjacent rectengular corral has length and width with area formula as below.

A = L × W

Given:

Because the dimension of adjacent rectangular corrals are the same, so:

W = 4x

L = 3y

3y + 4x = 200

\(y = \frac{200 - 4x}{3} \)

There are two adjacent rectangular corrals, so:

A = 2×L×W

\(A = 2 \times \frac{200 - 4x}{3} \times \: x \)

A = ⅓(400x–8x²)

We can differentiate to get the maximum area:

⅓×(400x–8x²) = 0

400–16x = 0

16x = 400

x = 25 feet

Substitute x value (width) to get y value (length):

y = (200–4(25)) ÷ 3

y = (200–100) ÷ 3

y = 100 ÷ 3

y = 33⅓ feet

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Solution

We have the following coordinates:

(0,0), (1,3), (5,0), (6,3)

We can find the distance between the vertices like this:

Then the correct answer for this case is:

D. Parallelogram

The solution for b of the equation A(2 + b) = -12 is given as follows:

b = (-12 - 2A)/A.

The equation in the context of this problem is given as follows:

A(2 + b) = -12.

The variable of interest for this problem is given as follows:

b.

Applying the distributive property on the left side of the equality, we have that:

2A + Ab = -12.

Now, to obtain the solution for the variable of interest b, we simply isolate the variable, as follows:

Ab = -12 - 2A

b = (-12 - 2A)/A.

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the third one

Step-by-step explanation:

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Answer:

35 divided by 6 is 5, with a remainder of 5

Step-by-step explanation:

Percentage error is given by the formula, (estimated number - actual number)/actual number × 100.

How closely a measured number corresponds to a true value is calculated using the percent error formula.

Percent error (percentage error) is defined as the difference between an experimental and theoretical value divided by the theoretical value and multiplied by 100.

The formula of percent error is,

"Percentage Error = ((Estimated Number - Actual Number)/ Actual number) × 100."

The percentage error tells us how much a small number of unavoidable errors affect our experimental results. By deducting the real value from the observed value, it is calculated. Small percentage errors show that you are close to the real or accepted value.

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the matches are

-2(2x+5) ≤ -7(x+4)         x<=-6

4x-3x-1                          x<=-1

5(x-3)9(x+1)                   x>=-6

3(x-4)+5 2x-9                x>=-2

Generally, Inequality is a mathematical statement that compares two values or expressions and indicates whether they are equal or not equal, or which one is greater or smaller. Inequalities are expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, 5 < 8 is an inequality that indicates that 5 is less than 8, and x + 3 ≥ 7 is an inequality that indicates that the value of x plus 3 is greater than or equal to 7.

Inequalities are commonly used in algebra and other branches of mathematics to represent relationships between quantities.

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The correct matching of the inequalities can be shown from the calculations below

Inequalities are an important tool in mathematical modeling and optimization problems, where they are used to express constraints and objective functions.

Using the principle of inequalities we have;

1) -2(2x + 5) ≤ - 7(x + 4)

-4x -10 ≤ -7x -28

-4x +7x ≤ -28 + 10

3x ≤ -18

x ≤ -6

2) 4x - 6/2 ≥ 3x - 1

4x - 6 ≥ 6x - 2

4x - 6x ≥ -2 + 6

-2x ≥ 4

x  ≤ -2

3) 5(x - 3) ≤ 9(x + 1)

5x - 15  ≤ 9x + 9

5x - 9x  ≤ 9 + 15

-4x  ≤ 24

x ≥ -6

4) 3(x - 4) + 5 ≥ 2x - 9

3x - 12 + 5≥ 2x - 9

3x - 2x ≥ -9 + 12 -5

x ≥ -2

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Answer:

Refer to the attachment

Answer:

length=x-4

Step-by-step explanation:

Answer:

a and c are alternate interior angles

For the parallel lines pq and rs a° and c° are alternate interior angles. Option A is correct.

Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.

Here,
When two parallel lines is intersect by a transversal line then the angles made facing the region between the parallel lines are said to be interior angles, And as we know that alternate angles for parallel lines are always equal. So a° and c° are alternate interior angles.

Thus, a° and c° are alternate interior angles.

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Answer:

Step-by-step explanation:

the x intercept takes coordinate (x,0)

the y intercept takes coordinate (0,y)

                                         x intercept                        y intercept

40: x+y=5                          (5,0)                                      (0,5)

x=0 , y=5, when y=0 x=5

41: x-y=5                            (5,0)                                      (0,-5)

x=0, -y=5 then y=-5, when y=0, x=5

42: 3x+4y=12                     (4,0)                                      (0,3)

x=0, 4y=12⇒y=12/4⇒y=3

y=0, 3x=12⇒x=12/3⇒x=4

43: 2x+3y=6                      (3,0)                                       (0,2)

x=0 , 3y=6⇒y=6/3=2

y=0 ,3y=6 ⇒ y=6/3 ⇒y=2

44: 3x+4y=-24                   (-8,0)                                      (0,-6)

x=0 , 4y=-24⇒y=-24/4 ⇒ y=-6

y=0 , 3x=-24⇒ x=-24/3⇒x=-8

45: 1/3x+2/3y=5/6            (5/2,0)                                    (0,5/4)

x=0 , 2/3 y=5/6 ⇒12y=15 ⇒ y=15/12 ⇒y=5/4

y=0 , 1/3 x=5/6 ⇒6x=15 ⇒x=15/6 ⇒x=5/2

46: x=-2                             (-2,0)                                   no y intercept

it is vertical line , there is no y intercept

47: y=15                    no x intercept                               (0,15)

horixzontal line, no x intercept

48: 3x-7y=8              (8/3,0)                                             (0,-8/7)

x=0 , -7y=8 ⇒y=-8/7

y=0 , 3x=8 ⇒x=8/3

Step-by-step explanation:

there are 91 2-digit numbers : 10 ..99

and there are 9 2-digit numbers with identical first and second digit : 11, 22, 33, 44, 55, 66, 77, 88, 99

99 has to be excluded, because there are no 2 2- digit numbers that I can subtract from each other and get 99.

so, e are dealing with 8 possibilities.

88 = 99-11

98-10

77 = 99-22

98-21

97-20

...

78-1

66 = 99-33

98-32

...

67-1

...

11 = 99-88

98-87

...

12-1

all the double- digit numbers are 11 apart. so, by picking 12 numbers, I have to have at least one that I can combine with one of the other 11 to get a double-digit number.

Answer:

The length of the second lawn is 400 feet

Answer:

400ft

Step-by-step explanation:

since the lenght of the second lawn is 2x longer the length will be:

2×200= 400feet long

So she lost 20% of the original selling price.

$64 is 80% of the original price.

64/80=0.8

0.8·100=80 dollars. HOPE THIS HELPS!!!

Answer:

Step-by-step explanation:

By definitions of line segment and midpoint, we find that \(\overline{TU} \cong \overline {UV}\).

In this problem we find a line segments partitioned in four parts by using midpoints, each of them are listed below:

A point within a line segment is a midpoint if and only if it partitions the line segment into two parts of equal length. If point U is the midpoint of line segment SW, then SU = UW. If point T is the midpoint of SU, then ST = TU and if point V is the midpoint of UW, then UV = VW. Finally, we get the following result by algebraic handling:

SU = UW

ST + TU = UV + VW

2 · TU = 2 · UV

TU = UV

\(\overline{TU} \cong \overline {UV}\)

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Answer:

Principal amount (P) = $10,000

Rate (R) = 1.5%

Time (T) = 4 years

Simple interest, I = P X R X T / 100

= 10000 X 1.5 X 4 /100

= 60000 / 100

= $600

Therefore, Balance = P + I

= 10000 + 600

= $10600

a) Recursive definition: a1 = 2, an = an-1 + 4 for n > 1.

b) Recursive definition: a1 = 1, an = (-1)^(n+1) for n > 1.

c) Recursive definition: a1 = 0, a2 = 2, an = (n - 1) * n + a(n-2) for n > 2.

d) Recursive definition: a1 = 1, an = a(n-1) + (2n - 1) for n > 1.

In mathematics, a sequence is an ordered list of numbers or other elements. A recursive definition of a sequence is one that defines each term of the sequence in terms of one or more previous terms. To find the nth term of the sequence, we need to know the previous terms up to n-1.

a) For the sequence {an} given by an = 4n - 2, the first few terms are 2, 6, 10, 14, 18, ... To define this sequence recursively, we can say that a1 = 2 and for n > 1, an = an-1 + 4.

b) For the sequence {an} given by an = 1^(-1)n, the first few terms are 1, -1, 1, -1, 1, ... To define this sequence recursively, we can say that a1 = 1 and for n > 1, an = -an-1.

c) For the sequence {an} given by an = n(n-1), the first few terms are 0, 2, 6, 12, 20, ... To define this sequence recursively, we can say that a1 = 0 and for n > 1, an = (n-1)an-1.

d) For the sequence {an} given by an = n^2, the first few terms are 1, 4, 9, 16, 25, ... To define this sequence recursively, we can say that a1 = 1 and for n > 1, an = an-1 + 2n - 1.

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Answer: the three consecutive integers are 18, 19, and 20.

Step-by-step explanation:

Answer:

18, 19, and 20

Step-by-step explanation:

let the first integer be 'x'.

Thus, the three consecutive integers are:

x, (x+1), (x+2).

Therefore, if 4 × x added to (x+2) = 92, then:

\((x+2)+4x=92\\5x+2=92\\5x=90\\x=18\)

Hence x = 18, and thus, the three consecutive integers are 18, 19, and 20.