City planners want to construct a bike path perpendicular to Lorne Lane at point P. An equation for the Lorne Lane line is y = -4/5x. Find an
equation for the line for the bike path.
The equation of the line for the bike path is ?

The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:

y = 44x.

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:

y = kx.

In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).

From the table of distances and time given in this problem, the constant is found as follows:

k = 220/5 = 440/10 = 660/15 = 44.

Hence the constant is of 44 and the relation is given by:

y = 44x.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction.

Maribel has :

total slice of pizza left = 3 x7 +7 = 28 slice.

Bruno has :

total slice of pizza left = 4x 5 + 2 = 22 slice.

Since Maribel  has More Pizza .

To learn more about : Fraction

Ref :  https://brainly.com/question/20323470

#SPJ13

The values from the least to greatest is 160%, 1.8, 2.1, 220%, 16/5 .

In the question ,

it is given that

the values 9/4 , 160%, 1.8, 16/5 , 220%, and 2.1

to arrange the values , we first need to simplify all the values .

(i) the value 9/4 = 2.25

(ii) 160% = 160/100 = 1.60

(iii)the value 1.80

(iv) Simplifying 16/5 , we get 3.20

(v) Simplifying 220% = 220/100 = 2.20

(vi) the value 2.10

the least value is 1.60 which is 160%.

the greatest value is 3.20 which is 16/5 .

Therefore ,the values from the least to greatest is 160%,1.8,2.1,220%,16/5  .

Learn more about Arrangements here

https://brainly.com/question/3844889

#SPJ1

Answer: 406.67 ft

Step-by-step explanation:

(20x60)/3

1220/3

= about 406.66667

= 406.67

The standard form of (5 times 10^3) x (9 times 10^7) is 45x10^10

(5 times 10^3) x (9 times 10^7)

=5x10^3 x 5x10^7

=5x9 x 10^(3+7)

=45x10^10

The answer can also be written in the Decimal Point format,

=4.5x10^11

This answer can be elaborated by using the Product of Powers rule of exponents. In this rule, we add exponents when multiplying powers with the same base.

Exponent = The number of multiplications by itself.  It is represented as written above and to the right of a number.

For example:

10^7, where 10 is the base and 7 is an exponent.

Product of Powers rule of Exponents:

a^b x a^c = a^(b+c)

To know more about standard form here

https://brainly.com/question/17264364

#SPJ1

Answer:

hggssssssssssssssssssss

Step-by-step explanation:

the same scale factor has to apply to all sides.

we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.

so, the scale factor is

3/2 = 1.5

to go from D to C we have to multiply all lengths by 1.5.

Answer:

your answer would be 50.

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5

If the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.

Given that 18 ounces are what Kellogg estimates to be the typical weight of a box of Frosted Flaked. The average weight of the 30 cartons they sampled was 18.2 ounces. According to past data, the filling procedure's standard deviation is 0.32 ounces.

Let Y be a box weights random variable.

μ = 18 ounces

SD = 0.32 ounces

The sample size and mean are provided as,

Sample size (n)  = 30

Sample mean (y) = 18.2

Y then follows roughly the standard deviation N(μ = 18, SD = 0.32)

Z score appears as:

[tex]z = \frac{\sqrt{n}(y-u)} {SD}[/tex]

where z is a normal standard variable having a mean of 0 and a standard deviation of 1.

Since sample size n is 30 and the standard deviation is given. y follows approximately Normal distribution

If the actual mean is 18 ounces, the likelihood that the sample mean will have been 18.2 ounces or more is given as,

[tex]P[Y \geq 18.2] = P [\frac{\sqrt{n(y - u)} }{SD} \geq \frac{\sqrt{30}(18.2- 18) }{0.32}\\ \\ =P [z\geq \frac{\sqrt{30}* 0.2 }{0.32}]\\ \\= P [z\geq \frac{1.0954}{0.32}]\\ \\=P [z\geq 3.4233]\\\\= 0.0003[/tex]

Therefore, if the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.

To know more about probability, refer to this link:

https://brainly.com/question/12629667

#SPJ9

Answer: 1725714.28571

Answer:

12080000/7 or 1725714.28571

Step-by-step explanation:

Answer:

I would say corresponding angles are converse

Step-by-step explanation:

I'm not that sure though, but I'm looking at my notes and it's kind of similar to the fact that it's corresponding

Roxanne claims that all linear equations represent proportional relationships. So, this statement "Yes, because all linear equations have graphs that are straight lines." makes him correct.

When there is a proportionate relationship between two variables, the other variable changes at a consistent pace regardless of how the first variable changes, grows or shrinks. A constant ratio between the two variables can be thought of as the constant rate.

Equations, graphs, and tables that use proportions can be used to show proportional relationships. A broad structure is followed by the proportional relationship equation, which will be taught in this session. Straight lines are used to illustrate the graphs. The tables are sets of numbers that are always paired in the same ratio.

Hence the correct option is A

To know more about Proportional relationship here

https://brainly.com/question/12917806

#SPJ1

Answer:

57x + 5x + 19y by the commutative property for addition.

Answer:

187.2

Step-by-step explanation:

if the scale is 1:12 then you would need to multiply 12 by the 15.6 which gets you 187.2 miles.

Answer: Degree of Polynomial: 12

Step-by-step explanation:

Answer:

48 orange marbles

Step-by-step explanation:

[tex] \frac{6}{5} = \frac{x}{40} [/tex]

[tex]5x = 240[/tex]

[tex]x = 48[/tex]

The first term of the geometric progression will be 81.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given that the common ratio of the geometric series is ( 2 / 3 ) and the sum of the first four terms is 171.

The first term of the geometric series will be calculated as:-

[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]

[tex]171 = a_1\dfrac{(\dfrac{2}{3}^3-1)}{\dfrac{2}{3}-1}[/tex]

a₁ = ( 171 x 9 ) / 19

a₁ = 9 x 9

a₁ = 81

Therefore, the first term of the geometric progression will be 81.

To know more about geometric progression follow

https://brainly.com/question/15562660

#SPJ1

Answer:

1a. 10 cups of dry rice will serve 30 people.

1b. 15 cups of dry rice will serve 45 people.

2. 30 spring rolls = 15 people

40 spring rolls = 20 people

56 spring rolls = 28 people

Step-by-step explanation:

1a. To find a constant, the equation is y/x. When 6 is divided by 2, you get 3 and from there the input increases by 3.  So, you multiply 10 by 3 to find how many people it can serve.

1b. To find this answer, you divide 45 by 3 to get 15. So 15 cups will serve 45 people.

2. Any number in the second column is divided by .5 to get the number in the first column. Any number in the first column is multiplied by .5 to get the number in the second column.

I hope that helps :)

Answer:

Step-by-step explanation:

20

Hello!

Part (A)

[tex]\text{Mean} = \dfrac{\text{sum of all salaries}}{\text{number of workers}} =\dfrac{13500 + 27500+13750 + 79000+ 19250 + 29000+21000}{7} \\\\\text{Mean}= 29000 \text{ dollars}[/tex]

Part (B)

 ==> The mean of other six worker's salary

  [tex]\text{Mean}= \dfrac{\text{sum of the 6 worker's salary}}{\text{number of workers} }=\dfrac{13500+27500+13750+19250+29000 + 21000}{6} \\\\ \text{Mean}= \dfrac{124000}{6}=20,666.67 \text{ dollars}[/tex]

Hope that helps!

Answer: $2128.52

Step-by-step explanation:

[tex]1500(1+.0725)^{5}[/tex]

Answer: B

Step-by-step explanation:

Assuming we mean biconditional statements. A biconditional must always be true. B is the only answer choice were both p and q are true. A young cow is a calf, and calfs are cows. Hope this helps!

Answer:

incomplete question

Answer: n = 1/2; m = 2/3

Step-by-step explanation:

A ⇒ 12 y = 6x + 24

[tex]y=\frac{n}{2}+2[/tex]

[tex]n=\frac{1}{2}[/tex]

B ⇒ 3y = 2x + 18

[tex]y=\frac{2}{3}n+6[/tex]

[tex]m=\frac{2}{3}[/tex]

∴ Lines are neither because slop diff.

Answer:

c

Step-by-step explanation:

the product (multiply ) of y and 12 is 12y and 4 less than 12y is

12y - 4

Answer:

12y - 4.

Step-by-step explanation:

The product is 12y and we subtract 4 from it.

Equation is y = 2x² + 4x + 1.

A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Given Data

Standard form of quadratic equation

Y = ax² +bx + c

Given points

(3,9), (30,-9). (0,1)

Equating points in formula

9= a(3)² + b(3) + c

9 = 9a + 3b +c

-9 = a(30)² + 3(30) + c

-9 = 900a + 90 + c

1 = a(0)² + b(0) + c

c = 1

Equating c in the equation

9 = 9a + 3b +1

8 = 9a + 3b

-9 = 900a + 90b +1

-10 =  900a + 90b

Multiplying both sides by 100

800 = 900a + 300b

-10    = 900a + 90b

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

790 = 210b

b = 4 (rounding off)

Putting values of b into equation

8 = 9a + 3(4)

20 = 9a

a = 2 (rounding off)

Equation is y = 2x² + 4x + 1.

To learn more about parabola, visit:

https://brainly.com/question/21685473

#SPJ9

Part a

[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]

Part b

[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]

Part c

[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]

Part d

[tex](g \circ f)(7)=\sqrt{7}+9[/tex]

Answer:

3,-2

Step-by-step explanation:

3,-2

Samuel's average speed during his morning routine is  24.3 miles per hour.

Average speed measures how fast an object or a person is travelling with respect to time. Average speed is the ratio of total distance travelled and total time travelled.

Average speed = total distance / total time

Total distance = 4.5 + 2/3 + 9

= 4.5 + 9 + 0.67 = 14.2 miles

Total time = 30 + 20 + 45 = 95 minutes = 1 hour 35 minutes  = 1 7/12 hours = 1.6 hours

Average speed = 14.2 / 1.6 = 24.3 miles per hour

To learn more about average speed, please check: https://brainly.com/question/21734785

#SPJ1

the answer:

9-5x+2=4-5x

Step-by-step explanation:

as there is -5X in the two sides