Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

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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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:

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.

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 algebraic properties used in the steps are the distribution property, the associative property, the identity property, and the distribution property

The first step in the equation is given as:

t + 5(t + 1) = t + (5t + 5)

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = t + (5t + 5) is the distribution property

Next, we have:

t + 5(t + 1) = (t + 5t) + 5

The associative property states that

a + (b + c) = (a + b) + c

So, the property used in t + 5(t + 1) = (t + 5t) + 5 is the associative property

Next, we have:

t + 5(t + 1) = (1t + 5t) + 5

The identity property states that

a * 1  = a

So, the property used in t + 5(t + 1) = (1t + 5t) + 5 is the identity property

Next, we have:

t + 5(t + 1) = (1 + 5)t + 5

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = (1 + 5)t + 5 is the distribution property

Lastly, we have the solution

(6t + 5)

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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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Answer:

7m-8

Step-by-step explanation:

distribute 4 through the parentheses

4m-8+3m

collect like terms

7m-8

Answer:

7m-8

Step-by-step explanation:

So to simplify this expression, you would need to do distributive property.

4(m-2)

(4*m) + (4*-2)

4m-8+3m

7m-8

So your simplification is 7m-8

the subsets in this case are:

Remember that for two sets A and B, we say that A is a subset of B if and only if all the elements of A also are elements of B.

In this case, we have 3 sets:

We can rewrite these ones as:

Here we can see that all the elements in C also belong in B and also belong in A, and all the elements in B also belong to A, then the subsets are:

C ⊆ B

C ⊆ A

B ⊆ A

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If a cartoon of 2 dozen eggs includes 3 with cracks, then the number of eggs without cracks in 6 dozen eggs can be expected to be 63.

A dozen abbreviated as doz is a batch of 12. So in this situation, one dozen refers to 12 eggs. Therefore the number of eggs in 2 dozen will be equal to,

1 dozen = 12 eggs

2 dozen = 12x2= 24 eggs.

Therefore, a cartoon of 24 eggs includes 3 with cracks.

Similarly, 6 dozen is equal to,

1 dozen = 12 eggs

6 dozen = 12 x 6 = 72 eggs

We can determine the number of eggs with cracks by using an algebraic expression,

24 eggs include 3 eggs with cracks

72 eggs include: x eggs with cracks

x = 72×3 ÷ 24

x = 216 ÷  24 = 9 eggs with cracks.

Therefore the number of eggs without cracks can be calculated by the subtraction of total eggs from the eggs with cracks.

Eggs without cracks= 72 - 9 = 63 eggs.

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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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Answer:

9 inches

Step-by-step explanation:

To find the volume of a cube, you could cube the side length, simplified as x³.

x³ = 729

x = 9

9 inches

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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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

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:

236

See the picture below for the work.

Step-by-step explanation:

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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Answer:

b 2 2/9

Step-by-step explanation:

As we know

6×2/3 = {6×3+2}/3

=> 20/3

20/3 is the walk for 3 days

by unitary method

Walk of one day should be

20/3×3

20/9 = 2×2/9 miles per day

Answer:

2 2/9 miles per day

Step-by-step explanation:

If she walked 6 2/3 miles in 3 days, then she walked 1/3 of 6 2/3 miles in 1 days.

We need to find 1/3 of 6 2/3 miles.

1/3 of 6 2/3 =

= 1/3 × 6 2/3

= 1/3 × (6 + 2/3)

= 1/3 × 6 + 1/3 × 2/3

= 2 + 2/9

= 2 2/9

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:

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 :)

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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[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]

Answer:

Step-by-step explanation:

A. L+W= 2 in. x 2 in. = 4 in.

Below are some things to help you with perimeter and area(just type it into whatever browser you use, copy and paste)

https://youtu.be/LoaBd-sPzkU

https://th.bing.com/th/id/OIP.Q5D_8qbK_9XGQLj1s0tpbwHaJ3?w=186&h=248&c=7&r=0&o=5&dpr=1.65&pid=1.7

Answer:

[tex] \sf \large \: h = \frac{v}{lw} [/tex]

Step-by-step explanation:

Let's solve for h.

v=lwh

Step 1: Flip the equation.

hlw=v

Step 2: Divide both sides by lw.

hlw/lw = v/lw

h= v/lw

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:

A. 3005

B. 3110

C. 1016.67

Step-by-step explanation:

A. Inital means occuring at the beginning. So the month they got the account, the value is around 3005. Every tick mark on the y-axis represents 30.

B. Like I said, every tick mark represents 30, so on the x-axis, the line between 6 and 8 is 7. go up towards where the line is, and that equals 3110.

C. I really haven't learned about rate of interest yet, but I tried my best to figure it out. I found out that for every month, you get 1016.67 value of interest.

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:

Dave and Tanvir each think of a number, where Dave's number is larger,

The difference between their numbers is 5. Dave's number plus twice Tanvir's number is 26. By forming simultaneous equations, determine each bloke's number. The numbers are 12 and 7.

The number of Dave is 12 and the number of Tanvir is 7.

Given that

Dave and Tanvir each think of a number, where Dave's number is larger.

The difference between their numbers is 5.

Dave's number plus twice Tanvir's number is 26.

To find

By forming simultaneous equations, determine each bloke's number.

So, according to the question

Let's assume that numbers are x and y.

So, we can say that

      x - y = 5 ------------(1)  and

   x + 2y = 26 ------------(2)

We have to solve that equations by using forming simultaneous equations.

For forming simultaneous equations, we have multiply equation(1) by 2, then add eq(2) with result.

So, we will get

      2x - 2y = 10

  (+)  x + 2y = 26

---------------------------

       3x +0 = 36

            3x = 36

             x = 36/3

            x = 12

Putting the value of x in equation (1),

We will get,

        x - y = 5 ------------(1)

        12 - y = 5

            - y = 5 - 12

            - y = -7

              y = 7

The numbers are 12 and 7.

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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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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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