jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour

The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.

A line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.

Using a factor of 2;

New coordinate = 2(2, 1)

New coordinate = (4, 2)

From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.

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Answer:the width is 5 1/4 ft

Step-by-step explanation:

Step 1

The area of a rectangle is given as  Length x width

Therefore the area of the rectangular board = Length x width

The length of the first board =6ft  

The length of the second board =5 1/2 ft  (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation

Length x width of board A +  Length x width of board B= area of board A and Board B

6w + 5.5w =60.375

Step 2---- Solving the equation

 6w + 5.5w =60.375

       11.5w = 60.375

               w = 60.375/11.5

                  w= 5.25

Therefore  the width of the two boards are  5.25 ft / 5 and 1/4 ft each

Answer:

Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as;

f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260

WE need the degree and the leading coefficient to determine the behavior.

Since our leading coeffeicent has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

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Answer:

Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Step-by-step explanation:

Considering the table

Lydia's Number of Pencils = 10

Lydia's Number of Pens = 7

Lydia's Pencils to Pens ratio = 10/7

Angel's Number of Pencils = 9

Angel's Number of Pens = 6

Angels's Pencils to Pens ratio = 9/6 = 3 / 2

Elizabeth's Number of Pencils = 12

Elizabeth's Number of Pens = 9

Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3

So, We get the inputs ratios such as:

Lydia's ratio:  Angels's ratio: Elizabeth's ratio

      10/7      :         3 / 2         :        4 / 3

As the least common denominator (LCD) is: 42

Rewriting as equivalent fractions with the LCD:

10/7            :         3 / 2         :        4 / 3

60 / 42       :        63/42       :       56/42

Sorting from least to greatest:

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

Elizabeth's ratio       :         Lydia's ratio       :    Angels's ratio:  

4/3                             :         10 /7                  :        3 / 2

56/42                        :          60 / 42             :         63/42

Therefore, Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Answer:

What was the origainal price?

Step-by-step explanation:

Given:

The equation is

[tex]y=-1(x-4.5)^2+15.25[/tex]

To find:

The standard form of the given equation.

Solution:

We have,

[tex]y=-1(x-4.5)^2+15.25[/tex]

It is a quadratic equation.

The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.

[tex]y=-(x-4.5)^2+15.25[/tex]

[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex]         [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=-[x^2-9x+20.25]+15.25[/tex]

[tex]y=-x^2+9x-20.25+15.25[/tex]

[tex]y=-x^2+9x-5[/tex]

Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].

Answer:

Their account balances will never be equal.

Step-by-step explanation:

I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.

Answer:

A rift valley is forming.

Step-by-step explanation:

Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.

Answer:

They both intersect at C. (-4,-2)

Step-by-step explanation:

The solutions are base on where they cross or intersect

Answer:

a = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10 + 4a = a - 23

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Here we see that -34 does indeed equal -34.

∴ a = -11 is the solution to the equation.

[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]

⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]

⠀⠀⠀⠀

For solving such problems we must have a glance at BODMAS rule .

⠀⠀⠀⠀

Firstly , putting all the variables at left and putting all the constants at right

⠀⠀⠀⠀

4a - a = - 23 - 10

⠀⠀⠀⠀

Secondly , solving the variable side

⠀⠀⠀⠀

3a = -23 - 10

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Now , solving the constant side

⠀⠀⠀⠀

3a = - 33

⠀⠀⠀⠀

Thirdly isolating the variable

⠀⠀⠀⠀

a = -33 / 3

⠀⠀⠀⠀

a = - 11

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]

⠀⠀⠀⠀

Answer:

x = 20°

Step-by-step explanation:

Lines and Angles

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

Answer:

13

Step-by-step explanation:

2 to the power of 4 - 6 divided 2

16 - 6 divided by 2

16 - 3

13

Answer: 13

Step-by-step explanation:

2 to the power of 4 =

16 - 6/2 = 16 - 3 = 13

Answer:

2(x+7)(x-7)

Step-by-step explanation:

1. In 2x^2-98, there is a common factor of 2

2. The equation therefore becomes 2 (x^2 - 49)

3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)

4. Therefore the fully factored answer is 2(x+7)(x-7)

Answer:5 N to the left

Step-by-step explanation:

Answer:

The Net Force is the difference of force. In this case

10N to the left - 5 N to the right = 5N to the left

Answer:

3:4 would be the answer

Step-by-step explanation:

you're welcome

*tuff scrolls

*looks at other hard things

Answer:1,750

Step-by-step explanation:

sorry if im wrong I tried

Answer:pAraell

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

divide 352 by 11

The required rate for Nevaeh's car uses 32 miles per gallon of gas.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.

Here total distance traveled by car = 352 miles

And the number of used gallons = 11

the car uses gas = 352 miles / 11 gallons

the car uses gas = 32 miles per gallon

Therefore, the required rate for his car uses 32 miles per gallon of gas.

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Answer:

i dont really get your question tho

Answer:

B

Step-by-step explanation:

Answer:

A. 5 oz. is the lowest rate

$2.00 US Dollars is the answer

Answer:

RP = 2.3

PQ = 1.0

RQ = 2.3

Step-by-step explanation:

The pictures says RP = RQ,

so:

3x - 0.4 = x + 1.4

this you can simplify to:

x = 0.9

Then fill x in:

RP = 3*0.9 - 0.4 = 2.3

PQ = 0.9 + 0.1 = 1.0

RQ = 2.3