Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =

Answers

Answer 1

Answer:

58 divided by 4 = 14. 5 mph

72.5 Divided by 4 = 14.5 mph

87 divided by 6 = 14.5 mph

k = 14.5 mph

Y= Kx = 14.5X

answer is 14.5 and 14.5X

Step-by-step explanation:


Related Questions

. Add the following. Answer in feet and inches. a) (3 ft. 8 in) + (4 ft. 9 in)​

Answers

Answer:

8 ft. 5 in.

Step-by-step explanation:

First, let's change everything to inches

[] 3 ft. 8 in -> 3 * 12 = 36, 36 + 8 = 44 inches

[] 4 ft. 9 in -> 4 * 12 = 48, 48 + 9 = 57 inches

Now, we can add

44 + 57 = 101 inches

Last, we will simplify

101 -> 8 feet and 5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Help please I really don’t understand due tomorrow

Answers

Answer:

x≥21

Step-by-step explanation:

1) Multiply both sides by the denominator (3)

x+21≥42

2)Move the constant to the right (21)

x≥42-21

3) Calculate it

x≥21

The answer and the working is in the image

Reese’s sister earns $15 per hour. The store offers her a raise - a 6% increase per hour after a raise how much will Reese sister make per hour

Answers

Answer: $15.90/hr

Step-by-step explanation:

We need to add 6% to her $15/hr current pay.  This can be calculated with:

$15/hr *(1+0.06) = $15.90/hr

The "(1+0.06)" represents a) 1  the current salary, and b) the 6% raise.

For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.

Answers

Answer:

The area of the triangle is equal to half of the base times the height: A = b x h x 1/2 You could find the area of a triangle with base length of 4 inches and height of 3 inches as follows: A = 4 inches x 3 inches x 1/2 = 6 square inches

Step-by-step explanation:

The corresponding height is the length of a perpendicular segment from the base to the vertex opposite of it. The opposite vertex is the vertex that is not an endpoint of the base.

Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10

Answers

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

f(x) = x² + 7x + 10

The  quadratic equation is x² + 7x + 10.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the zeroes of Quadratic Equation as -2 and -5.

So, the factors of the equation is (x +2 ) and (x + 5).

Then, the Quadratic equation is

= (x+5)(x+2)

= x² + 5x +2x + 10

= x² + 7x + 10

Thus, the quadratic equation is x² + 7x + 10.

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simplify by combining like terms 3k-2k​

Answers

The answer would be 1k

Answer:

k

Step-by-step explanation:

3k-2k=1k

1k=k so this is the answer

If x = 5y - 1 and 3x + 5y = -43, what is the value of y?

Answers

Answer:

y is the value of 1

Step-by-step explanation:

no need for one

Answer:

y = - 2

Step-by-step explanation:

Substitute x = 5y - 1 into the other equation

3(5y - 1) + 5y = - 43 ← distribute parenthesis and simplify left side

15y - 3 + 5y = - 43

20y - 3 = - 43 ( add 3 to both sides )

20y = - 40 ( divide both sides by 20 )

y = - 2

What is the coefficient of the term 5/3 xy?

A. 5xy

B. 5/3

C. 5

D. 1/3

Answers

The answer is A. Look at it and it’s seam like it is A.

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

–1.5
–0.5
0.5
1.5

Answers

Answer:

1.5

1.5

Step-by-step explanation:

The steps are in the image above

The slope of the line through these two data points is 1.5.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

x represents the time and y represents the temperature in degrees Fahrenheit.

temperature of –2°F at 8 a.m. Hence:

-2 = 8m + b   (1)

it was 4°F at 12:00 p.m. Hence:

4 = 12m + b  (2)

Solving equations 1 and 2 simultaneously gives:

m = 1.5, b = -14

The slope of the line through these two data points is 1.5.

Find out more on linear equation at: https://brainly.com/question/14323743

Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN

Answers

Answer:

SAS∆LMN ~ ∆GHN

Step-by-step explanation:

If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.

  LG/MH = 12.5/10 = 1.25

  GN/HN = 40/32 = 1.25 . . . . so the triangles are similar

__

The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.

Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.

A you-pick blueberry farm offers 6 lbs of blueberry for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries

Answers

Answer:

Step-by-step explanation:

Lol hi

hi please help with this
have a great day​

Answers

Answer:

Can you explain what this is then I can help

Answer:

- 11

Step-by-step explanation:

Given a = -2.9

Simplify the fraction:

(a² + a - 12)/(9 - a²) =(a² + 4a - 3a - 12)/(3 - a)(3 + a) =(a - 3)(a + 4) / - (a - 3)(a + 3) =- (a + 4) / (a + 3)

Now substitute the value of a:

- (- 2.9 + 4) / (-2.9 + 3) =- 1.1 / 0.1 = - 11

Please help me with this geometry work, its very confusing! Picture provided! Please help ASAP

Answers

2-2922#29-(+8388282)

Given: 3x < -6.



Choose the solution set.

{x | x > -2}
{x | x < -2}
{x | x > 2}
{x | x < 2}

Answers

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

Find the missing exponent

Answers

Answer:

-6

Step-by-step explanation:

Because 2×(-6) is - 12

Answer:

-24

Step-by-step explanation:

Valley schools have a student population of 1,608 students .if there are an equal number of students in the 6th grade levels, how many students are in each grade .

Answers

Answer:

268

Step-by-step explanation:

1608/6= 268

hope this helps!

A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)​

Answers

Answer:

A    y - 1 = -4(x + 2)

Step-by-step explanation:

point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]

y - 1 = -4(x -(-2) )

y - 1 = -4(x + 2)

find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a

Answers

Answer:

d.

took the test

Step-by-step explanation

8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??

Answers

Answer:

See answer below.

Step-by-step explanation:

LA = π rl

1st find l    

The radius is 5" and the height is 12"  l = ?

  h and the r is the two legs in the right triangle when drawn in a cone.

Use a²  + b² = c²     ⇔ h² + r² = l²

                                    12² + 5²  = l²

                                   144 + 25 = l²

                                     169 = l²

                                    [tex]\sqrt{169} = l[/tex]

                                        13 = l

Formula for LA = π r l

                  LA = 3.14 × 5 ×13  or with a calculator   LA = π × 5 × 13

                   LA = 204.1  sq.in                                   LA  = 204.2035225 sq. in

I use 3.14 = for π  but you know what the teacher uses in class.

The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 8 to 5. if there were 7332 total votes, how many no were there?

Answers

Answer:

  2820 no votes

Step-by-step explanation:

The fraction of votes that were 'no' is ...

  no/total = (5)/(8+5) = 5/13

The number of votes that were 'no' is ...

  (5/13)(7332) = 2820 . . . no votes

encuentre el sistema de desigualdades que describe la region sombreada

Answers

Wrong place please take it to Spanish.

Can someone help ????

Answers

Answer:

432

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

Now, at first, we solve the numerator:

[tex](14-3^{2}+1 )^{2}[/tex]

=[tex](14-9+1)^{2}[/tex]

=[tex](15-9)^{2}[/tex]

= [tex]6^{2}[/tex]

= 36

Now let's solve the denominator:

1 ÷ 3 ×  [tex]\frac{1}{4}[/tex]

=[tex]\frac{1}{3} . \frac{1}{4}[/tex]

=[tex]\frac{1}{12}[/tex]

Hence,

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

=  [tex]\frac{36}{1/12}[/tex]

= 36 x 12

= 432

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.

Answers

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

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simplify by combining like terms -(m+n)+2 (m-3n)​

Answers

-(m+n)+2(m-3n)

-m+n+2m-6n

-m+2m+n-6n

m-5n

Answer:

m -7n

Step-by-step explanation:

-(m+n)+2 (m-3n)​, distribute in the first parenthesis the -1 and in the second parentheses the 2

-m -n + 2m -6n , group like terms

-m + 2m -n -6n , combine like terms

     

     m     -7n

the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction​

Answers

Answer:

Side length = 4.80 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 14.4 cm:

An equilateral triangle has three congruent sides.

Since a triangle has three sides, and the sum of those sides represent the perimeter.  We can assume that each side of the triangle represents a third (⅓) of the perimeter.

Perimeter of an equilateral triangle = side + side + side = 3(side)  

Perimeter = 14.4 cm

[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]

Therefore, the length of each side of an equilateral triangle is:  4.80 cm.

Help fast, please!!!!!!!!!!!!!!

Answers

Answer: 25% or B

Step-by-step explanation:

1. Money in November - Money in October

2. 50 - 40 = 10 dollars increased

3. 10/40 = 0.25 or 25%

convert 250 Angtrums to centimeters

Answers

2.5x-10^6 is the answer

A local little league has a total of 60 players ,80% of whom are right handed how many right handed players are there?

Answers

48 because 60 (the number of players) times 0.80 (the percentage) is 48.

The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .

don't give unwanted ans to get the points
well explained ans needed !!
spammers and plagiarism = reported

thx !! ​

Answers

[tex]\pink{Answer}[/tex]

The measure of ∆a = 2x The measure of ∆b = 3x The measure of ∆c = 4x

[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]

[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]

[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]

[tex]\\ \sf\longmapsto \: b \: = 3x = 3 \times 20 = 60[/tex]

[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]

hence , angles of the triangle are 40 , 60 and 80

Question:-

The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .

Answer:-

40° , 60° and 80°

Explanation:-

We know that sum of all the angles of a triangle adds to 180° .

Let the angles be 2x , 3x and 4x

Now,

=> 2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 180/9

=> x = 20°

(The value of x is 20)

2x = 2 × 20 = 40°3x = 3 × 20 = 60°4x = 4 × 20 = 80°

What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.

Answers

The answer is a multiple of + 4 for each number resting

The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .

What is quadratic sequence ?

Quadratic sequences are sequences that include  [tex]nth[/tex]  term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.

Quadratic sequence [tex]=an^2+bn+c[/tex]

Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.

First difference [tex]= 3a+b[/tex]

Second difference [tex]=2a[/tex]

We have,

Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]

Quadratic sequence [tex]=an^2+bn+c[/tex]

so,

For [tex]n=1[/tex];

[tex]8=an^2+bn+c[/tex]

[tex]8=a+b+c[/tex]   [tex]........(i)[/tex]

For [tex]n=2[/tex];

[tex]16=4a+2b+c[/tex]    [tex]........(ii)[/tex]

For [tex]n=3[/tex];

[tex]26=9a+3b+c[/tex]    [tex]........(iii)[/tex]

Now,

Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]

we get,

[tex]8=3a+b[/tex]    [tex]........(iv)[/tex]

Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,

[tex]10=5a+b[/tex]    [tex]........(v)[/tex]

Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,

[tex]2=2a[/tex]  (This is second difference mentioned above)

[tex]a=1[/tex]

Putting [tex]a=1[/tex]  in [tex](iv)[/tex]

⇒[tex]b=5[/tex]

Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]

[tex]8=1+5+c[/tex]

[tex]c=2[/tex]

Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,

Quadratic sequence [tex]=an^2+bn+c[/tex]

we get,

[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]

Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].

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