The width of a rectangle measures (10p - 9q) centimeters, and its length measures
(7p+8q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?

Using proportions, the equation in terms of Tim is given by:

T(t) = 17t.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

Hence the total amount, as a function of Isaac's amount, is given by:

T(t) = I + H + t

T(t) = 4t + 12t + t

T(t) = 17t.

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The area of the rectangle as a function of its width is  a=3b-2.

[tex]s=(3b-2)b\\=3b^{2}-2b[/tex]

[tex]a=3b-2[/tex]

What is the advantages of area ?

Area is significant in contemporary mathematics. Aside from its obvious significance in geometry and calculus, area is also a fundamental characteristic of surfaces in differential geometry and is connected to the definition of determinants in linear algebra. The amount of space within a form is measured by its area.

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x ≤ 2  but must be greater than 0 .  triangles are the possible lengths of the remaining side.

How is an isosceles triangle defined?

The length of one of the congruent side is 5

The total length of two congruent sides is 10

Perimeter at the most is 12 (meaning the maximum length of perimeter is 12)

The third side of the triangle must be 12-10 = 2 at the most

Writing this requirement as inequality we have

x ≤ 2  but must be greater than 0

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The number of green beads left over = 15

Walter:

Number of green beads = 476

Number of red beads = 32

Agnes:

Number of green beads = 104

Number of red beads = 16

Holly:

Number of green beads = 281

Number of red beads = 80

Total number of red beads = 32+16+80 = 128 beads

Number of red beads required for making one lizard = 16

Since 128/16 = 8 , there will be no red beads left after making 8 lizards.

Total number of green beads = 476+104+281 = 861 beads

Number of green beads required for making one lizard = 94

Now 861/94 = [tex]9\frac{15}{94}[/tex]

That is , 15 is the remainder when 861 is divided by 94

So there will be 15 green beads left after making 9 lizards.

Therefore, the number of green beads left over = 15

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Answer:

1. domain: -6 ≤ x ≤ 7

range: -6 ≤ y ≤ 4

2. domain: 5 > x

range: -5 < y

Step-by-step explanation:

1. domain: the farthest number left that the line reaches is -6, while the farthest right is 7. due to the line being closed as well as the points being filled in, you use the less than or equal to sign.

range: the farthest number down that the line reaches is -6, while the farthest is goes up is 4. again, since the points are filled in, you use the "or equal to" sign.

2. domain: since the only plotted point is 5, and the point is not filled in, you would say that 5 is greater than x due to the direction that the line moves

range: the lowest part of the line touches -5 and only goes up from there, therefore y is greater than -5

Answer:

I'm assuming the double minus marks meant 5 and 6 were negative. Answer is 30.

Step-by-step explanation:

[tex]17+\abs(-12--5)-(-6)\\17+\abs(-12+5)-(-6)\\17+\abs(-7)-(-6)\\17+7-(-6)\\17+7--6\\24--6\\24+6\\30[/tex]

Answer:The answer would be 28

Step-by-step explanation:17-6 is 11

                                            The absolute value of -12-5 is 17

                                               17+11=28

                                            So therefore the answer would be 28.

The increment in the percentage of dessert sales will be 25%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

I was able to sell 1,200 desserts throughout the month of January. Your dessert sales jumped to 1,500 in February.

Then the increment in the percentage will be given as,

P = [(1500 - 1200) / 1200] x 100

P = (300 / 1200) x 100

P = 0.25 x 100

P = 25%

The increment in the percentage of dessert sales will be 25%.

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The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

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Answer:

p = independent

t = dependent

The amount of hired truckers will depend on the amount of produce that has to be shipped from California to New York.

Hope this helps :)

We need to find out unit price per minute and the unit price is $0.4 per minute.

According to the question we have been given that

                 12 mile taxi rides takes = 18 minutes

                   cost of 12 mile taxi ride = $7.20

Thus we need to find the mile and the cost covered in 33 minutes which will be find out by unitary method.

Thus,

               18 minutes taxi ride will cover = 12 mile

               33 minutes taxi ride will cover = 12/18*33

                                                                 =  22 miles

                  cost of  12 mile taxi ride = $7.20

   then,       cost of 22 miles taxi ride = 7.20/12 * 22

                                                          = $ 13.2

Now we need to find out the unit price which is unit price per minute.

Thus unit price is = $13.2/33

                            = $ 0.4

Hence we need to find out unit price per minute and the unit price is $0.4 per minute.

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The length of the arc for the given circle is 24cm.

Given:

To find: Length of the arc.

Finding:

On substituting the values of r and Θ in the formula of length of the arc, we get:

L = 4(6) = 24 cm.

Hence, the length of the arc for the given circle is 24cm.

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Answer:

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The system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

The given options are,

y > x – 2 and y < x + 1

y < x – 2 and y > x + 1

y < x – 2 and y > x + 1

y > x – 2 and y < x + 1

Since,

The linear equation of a straight line is

y = mx + c,

where m is the gradient or slope, and

y = c is the value where the line cuts the y-axis.

The formula for slope of line with points (x1,y1) and (x2,y2) can be expressed as,

m = (y2 - y1) / (x2 - x1)

Now from y > x – 2 and y < x + 1

the first line passes through (0, 1) and (0, -1)

So,slope m = (0 - 1) / (0 - 1)

⇒ m = 1

Now the line intercept y-axis at (1, 1)

So, c = 1

So,equation of line is given as,

y < x + 1

the second line passes through (0, 2) and (0, -2)

So,slope m = (0 - 2) / (0 - 2)

⇒ m = 1

Now the line intercept y-axis at (-2, 0)

So, c = -2

So,equation of line is given as,

y < x - 2

So, we get y > x – 2 and y < x + 1.

Thus, the system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.

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The missing graph of the question is attached.

Answer:

Step-by-step explanation:

Answer:

Given that y varies proportionally with  x , with a constant of proportionality k=13 , find y when x=12 .

Write the equation of the proportional relationship.

The variable x varies proportionally with y with a constant of proportionality equal to 13

So,

Substitute the given x value.

Step-by-step explanation:

Answer: 2 ≤ x < 7

Step-by-step explanation:

10 ≤ 3x + 4 < 25  ==> solve for x, so work to isolate the x variable

10-4 ≤ 3x + 4-4 < 25-4

6 ≤ 3x < 21

6/3 ≤ 3x/3 < 21/3

2 ≤ x < 7

Answer:

I believe it's [2, 7). It has to be solve differently.

Answer: 11.4

Step-by-step explanation:

Answer:

The greatest common factor of 44 and 22 is 22.

Step-by-step explanation:

First, you should list all the factors of 44 and 22. For 44, the factors are: 1, 2, 4, 11, 22 and 44

For 22, the factors are: 1, 2, 11 and 22

The greatest common factor is 22.

Answer: 22

Step-by-step explanation:

In order to find GCF of 44 and 22, take the prime factorization of the two numbers

22: 11*2

44: 11*4=11*2*2

Notice they both have 11*2 in their prime factorization.

11*2=22

GCF of 44 and 22 is 22

Sample space when a coin is tossed is {H, T}

Sample space for drawing a card is {1, 2, 3, 4}

Sample space = {H1, H2, H3, H4, T1, T2, T3, T4}

Event that the coin toss is tails = {H1, H2, H3, H4}

The sample space describing all possible outcomes are (H1, H2, H3, H4, T1, T2, T3, T4).

A series of independent Bernoulli trials with a chance of 1/2 on each trial is referred to as a fair coin in probability theory and statistics. A biased or unjust coin is one for which the probability is not equal to one-half.

The presumption that a coin is fair is sometimes made by making reference to an ideal coin in theoretical investigations. When John Edmund Kerrich experimented with flipping coins, he discovered that 679 times out of 1000, a coin fashioned of a wooden disc the size of a crown that was coated with lead on one side landed heads (wooden side up).

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Using scientific notation , the electricity used in 1950 was 7.131 × 10¹ times more than that used in 1902 .

Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits). It is also referred to as scientific form, standard index form, and standard form in the UK. This base ten notation is often used by scientists, mathematicians, and engineers because it can make various mathematical procedures easier.

One can represent exceedingly large or extremely small quantities using scientific notation. In scientific notation, the result of multiplying an integer between 1 and 10 by a power of 10 is written. For instance, in scientific notation, 35,000,000 can be written as 3.5× 10⁷.

Given that the use of electricity in the US in 1902 was 6.03 x 10⁹kilowatt-hours and the use of electricity in the US in 1950 was 4.3 x 10¹¹ kilowatt-hours.

These are both represented in scientific notation.

Now we have to divide to find the number of times more electricity is used.

(4.3 x 10¹¹) ÷ (6.03 x 10⁹)

= 71.31011...

≈ 7.131 × 10¹

Hence the scientific representation is given by 7.131 × 10¹ times.

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The expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Last week, Pablo drove 115 miles. This week, he drove k miles. Therefore, the total number of miles for which Pablo drove can be written as,

Total number of miles = Number of miles last week + Number of miles this week

                                    = 115 miles + k miles

                                    = (115 + k) miles

Hence, the expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

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-4x < or = to -1 and x > or = 1/4

Explation

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

lets solve ~

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times 5 \times 5} \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times 2 \times 5 \times \sqrt{11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \sqrt{11} [/tex]

The temperature drop is B. 3.968 degrees each hour.

The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.

The total steady drop in temperature = 24.8 degrees

Total number of hours for the temperature drop = 6¹/₄ hours

6¹/₄ hours = 6.25 hours

Temperature drop per hour = total drop/total hours of drop

= 2(4.8 ÷ 6¹/₄ hours)

= 3.968 degrees

Thus, the temperature drop is B. 3.968 degrees each hour.

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If [tex]X,Y[/tex] are independent, we have the properties for expectation and variance,

[tex]\Bbb E[aX + bY] = a\,\Bbb E[X] + b\,\Bbb E[Y][/tex]

[tex]\Bbb V[aX + bY] = a^2\,\Bbb V[X] + b^2\,\Bbb V[Y][/tex]

where [tex]a,b\in\Bbb R[/tex] are fixed.

Then

[tex]\Bbb E[R - S] = \Bbb E[R] - \Bbb E[S] = 10 - 7 = \boxed{3}[/tex]

and

[tex]\Bbb V[R - S] = \Bbb V[R] + (-1)^2\, \Bbb V[S] = 4^2 + 3^2 = \boxed{5}\,{}^2 = 25[/tex]

(recall that standard deviation = √(variance))

Answer:

B 55x + 65 = 296; x = 4.2 hours

Step-by-step explanation:

The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.

The number of hours worked by the plumber is 4.2

Option B is the correct answer.

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

We have,

Charges for home visit = $65

Charges for each hour = $55

Let the number of hours = x

Total charges = $296

We can make an equation:

65 + 55x = 296

The number of hours can be calculated.

65 + 55x = 296

Subtracting 65 on both sides.

65 + 55x - 65 = 296 - 65

55x = 231

Dividing both sides by 55.

x = 231 / 55

x = 4.2

Thus,

The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.

The number of hours worked by the plumber is 4.2

Option B is the correct answer.

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Answer:

If you want it graphed the answer is

andb=7

The formula wights are

mass of  1 1  mole of  9 a − a b + 5 b i f a = 2 = 0 g

Step-by-step explanation: