What is the constant of proportionality in the table below?

What Is The Constant Of Proportionality In The Table Below?

Answers

Answer 1

Answer:  [tex]\dfrac{2}{5}[/tex]

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

[tex]k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}[/tex]

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row,  Days = 3

Total Miles = [tex]1\dfrac{1}{5}=\dfrac{6}{5}[/tex]

Then, the constant of proportionality in the table

[tex]k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}[/tex]

Hence, the constant of proportionality in the table is [tex]\dfrac{2}{5}[/tex] .

Answer 2

Answer:

2/5

Step-by-step explanation:


Related Questions


2. Below is a circle with centre C. A, B, D, and E
are points on the circumference. BD is a diameter of
the circle.
Angle CDA is 18° Find the size of angle EDA.
You must show your workings​

Answers

Answer:

Step-by-step explanation:

45-37

8x17 = 136

The sales tax on clothing in Nebraska is 5.5%. Calculate how much tax you need to pay on a shirt if it costs $36.60 before tax. Round your answer to the nearest cent.(plz answer asap)

Answers

Answer:

$2.01.

Step-by-step explanation:

Tax paid = 5.5% * 36.60

= 0.055 * 36.60

= 2.013

Hi

The equation would be 5.5/100 * 36.60

55/1000 * 3660/100 = 201300/100000

=$2.013 = $2.01


Hope it helps ya

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Answers

Answer:

3.625 is ans

Step-by-step explanation:

4.5+0.25_+1.125=3.625

Step-by-step explanation:

this is your answer sis ...

what is the range of the function?

Answers

Answer:

Range { 2,4,9,16}

Step-by-step explanation:

The range of the function is the output of the system

Range { 2,4,9,16}

Answer:

Step-by-step explanation:

Range is ll the y-points the outputs {2,4,9,16}

Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.

The bank will convert the euros into pounds using £1 =
1.1452 euros.

The bank deducts a fee of £0.89 from her savings account
for this conversion.

How much money does Jana now have in her bank
account?​

Answers

Step-by-step explanation:

She has 234 euros left after the conversion

Total money = 1500 + 234 = 1734

Answer:

£11734.88

Step-by-step explanation:

Jana's 270 Euro converts into pounds as follows:

 270 Euro          £1

------------------ * ------------------  =  £235.77

         1              1.1452 Euro

From this we subtact the £0.89 conversion fee, obtaining  £234.88 net.  We add this amount to the £1500 already in her account, obtaining £11734.88

A small airplane can fly 12 miles in 3 minutes. At this rate, how far can it fly in 7 minutes? In an hour?

Answers

Answer:

28 miles in 7 minutes, 240 miles in an hour

Step-by-step explanation:

We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1

The plane travels 4 miles a minute

To find how much it travels in 7 minutes, multiply by 7

4x7 is 28

28 miles in 7 minutes

To find an hour, multiply by 60

4x60= 240

240 miles in an hour

What is the recursive formula for the geometric sequence with this explicit formula?

Answers

Answer:

[tex]a1 = 9 \\ an = a(n - 1) \times ( \frac{ - 1}{3} )[/tex]

PLEASE HELP ME!! I NEED AN ANSWER ASAP PLZ! Given the quadrilateral inscribed in the circle, what is m∠L?

Answers

Answer:

97 degrees

Step-by-step explanation:

*PLEASE ANSWER* The radius of a salad bowl is 7.2 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere). a.) 325.72 in2 b.) 651.44 in2 c.) 81.43 in2

Answers

Answer:

a) 325.72

Step-by-step explanation:

A=4pir^2

A=4x3,14x7.2x7.2

a=651.44

1/2a=1/2x651.44

=325.72

What is the range of function in this table?

Answers

Answer:

Range{ 2,3,4}

Step-by-step explanation:

The range is the output of the function, in the case the y values

Range{ 2,3,4}

Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1

to 6. Each player chooses one card and rolls the cube to determine the number of spaces to

move on the game board.

What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the

cube?

Done -

Answers

Probability of picking higher than 6 = 2:8, or 1/4
Probability of rolling a 6 = 1:6, or 1/6

1/4 * 1/6 = 1/24

The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.

Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.

Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be

[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

)Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses. Which part of the scenario is best represented by a linear increasing interval? Bentley has $40 in her piggy bank. Bentley spent $10 on new flip flops. Bentley got $20 for her allowance. Bentley spent $15 on sunglasses.

Answers

Answer:

Bentley got $20 for her allowance.

Step-by-step explanation:

Which of the following represents the factorization of the trinomial below?
x² - 2x - 48

A. (x-4)(x-12)

B. (x+4)(x-12)

C. (x-6)(x-8)

D. (x+6)(x-8)

Answers

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)

Answer: d

Step-by-step explanation:

This a trinomial so to find the factorization you need just to solve this equation :

x²-2x-48=0a=1b=-2c=-48Δ=(-2)²-4*1*(-48)=196 so our trinomial has 2 solutions : [tex]\left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.[/tex]

x=8 and y=-6

the factorisation is  f(x)=a* (x-8)(x-(-6))

       the answer is : (x+6) (x-8)

can someone help me solve this problem?

Answers

and the answer is 4a + 5

Step-by-step explanation:

the value of a in the second is 1 so 3a + a is 4a

and 3 + 2 is 5
Combined like terms 3a+a and 3+2 and it would be 4a+5

Find the number of vertices on this solid.

Answers

Answer:

5

Step-by-step explanation:

Vertices are points where lines intersect. A pyramid has 5 vertices.

Answer:

5

Step-by-step explanation:

A square-based pyramid has 5 vertices, 1 on the top and 4 on the base.

The product of the first 50 prime numbers is not divisible by:
A. 26
B. 36
C. 46
D. 86

Answers

Answer:

C.46

Step-by-step explanation:

I hope it helps ❤

The product of the first 50 prime numbers is not divisible by 86.

What is meant by prime number?A prime number is a whole number greater than one with only the number one and itself as factors. A factor is a whole number that can be evenly divided by another number. 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are the first few prime numbers. Composite numbers are those that have more than two factors. Only the number 1 and the number itself are divisible by 11. A number must have exactly two factors to be classified as a prime number. 11 is a prime number because it has exactly two factors, namely 1 and 11.The largest known prime number is currently 282,589,933. This prime, as well as the previous seven largest primes discovered, are referred to as Mersenne primes, after the French mathematician Marin Mersenne (1588–1648).

Therefore,

First 50 prime numbers are, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

So 86 is not the prime number.

To learn more prime number refer

brainly.com/question/145452

#SPJ2

In how many ways can the letters of the word PROBABLY be arranged using all of the letters?

Answers

Answer:

20160

Step-by-step explanation:

If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)

but, there is B which repeated 2 times.

So, 8!/2!

Answer:

20160

Step-by-step explanation:

Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.

So, you have to do 8! / 2! because the 2! is the two B's.

Hope this helps!! :)

Which of the following is a solution of the system

x - 2y < 4 and y > – 2x – 5?

1. (1, - 4)
2. (-8,2)
3. (0,0)
4. (-3,0)

Answers

Answer:

Answer B

Step-by-step explanation:

1.  (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.

2.  (-8, 2):  -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true)  We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:

2 > -2(-8) - 5.  Yes, this is true, so the given point satisfies both inequalities in Answer B.

Triangles D E F and P Q R are shown. Given that StartFraction D F Over P R EndFraction = StartFraction F E Over R Q EndFraction = three-halves, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem? DE ≅ PQ ∠D ≅ ∠P StartFraction D E Over E F EndFraction = three-halves StartFraction D E Over P Q EndFraction = three-halves

Answers

Answer:

The correct option is;

DE/PQ = 3/2 which is StartFraction DE Over PQ Endfraction = three-halves

Step-by-step explanation:

The information given bout the triangles are;

DF/PR = FE/RQ = 3/2

Therefore since the given sides of triangle DEF are 3/2 times the sides of triangle PQR, the given sides of triangle DEF have been scaled 3/2 times to get the given sides of triangle PQR

Therefore, to prove that ΔDEF ~ ΔPQR, the ratio of the third side of triangle DEF, that is DE, to the third side of triangle PQR, which is PQ must be three-halves.

Answer:

The answer is  DE/PQ = 3/2 or D.

Step-by-step explanation:

Just did it on edge. hope you do good :)

£80 is divided between Fiona, Pip & Sara so that Fiona gets twice as much as Pip, and Pip gets three times as much as Sara. How much does Fiona get?

Answers

Answer:

Fiona got £48

Step-by-step explanation:

let Sara=x

Pip=3x

Fiona=2(3x)

x+3x+2(3x)=£80

4x+6x=£80

10x=£80

10x/10=£80/10

x=£8

therefore Sara(x) got £8

Pip=3x

=3(8)

=£24

Fiona=2(3x)

=2(24)

=£48.

What is the number of possible outcomes for the tree diagram below?
w
w
w
A. 8
B. 6
C. 4
0
D. 2

Answers

Answer:

4

Step-by-step explanation:

find sin 2a and cot 2a:

Answers

Answer:

[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}[/tex]

Step-by-step explanation:

[tex]\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\[/tex]

[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}[/tex]

What number is represented by point B?
Which point represents the number 2?

Answers

Answer:

-1, c

Step-by-step explanation:

Each dot represents 1.  

0 - 1 = -1

As labeled, c represents 2.

What are the roots of the equation? x^2 − x − 42 = 0 Enter your answers in the boxes. X= X=

Answers

Answer:

x = -6 and x = 7

Step-by-step explanation:

x² - x - 42 = 0

find two number which

a + b = -1

a*b = -42

a = -7

b = 6

x² - x - 42 = 0

(x-7)(x+6) = 0

x-7 = 0

x = 7

x +6 = 0

x = -6

Answer:-6 or 7

Step-by-step explanation:

'15 points in total for brainliest and correct answer, please answer ASAP'
What is the area of the shaded portion if the area of the circle is 56 sq cm?

Answers

Answer:

14cm² is the area of the shaded region

Step-by-step explanation:

recognize that those two small triangles plus that arc area is equal to 1/4 of the area of the circle.

56 / 4 = 14cm

Answer the question now fast

Answers

Answer:

second and third choice

Step-by-step explanation:

supplamentary = add up to be 180

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Hey there! :)

Answer:

1.

Step-by-step explanation:

If a line has the equation y = x + 6, a parallel line would contain the same slope.

In the equation y = x + 6, there is no coefficient, or slope. This means that the slope, or m = 1.

Thus, a parallel line would contain an equivalent slope, making the slope of the parallel line = 1.

Answer:

1

Step-by-step explanation:

Two lines are parallel if they have the same slope. The slope is the number that comes before x.The slope of the first line is 1, even though it doesn't say 1x, as anything multiplied by 1 is itself, so it is left out.

Please Help 100 points
Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3?
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.

Answers

Answer:

see below

Step-by-step explanation:

-1.1 x + 6.4 >- 1.3

Subtract 6.4 from each side

-1.1 x + 6.4 -6.4 >- 1.3-6.4

-1.1x > -7.7

Divide each side by -1.1, remembering to flip the inequality

-1.1x/-1.1< -7.7/-1.1

x < 7

There is an open circle at 7 and a line going to the left

Hey there! :)

Answer:

C.

Step-by-step explanation:

Given:

-1.1x + 6.4 > -1.3

Subtract 6.4 from both sides:

-1.1x >  -7.7

Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.

-1.1x/ (-1.1) < -7.7/(-1.1)

x < 7.

Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.

-5/7 times 1/5 please help answer

Answers

Answer:

-1/7

Step-by-step explanation:

-5/7 × 1/5

Multiply.

-5/35

Simplify.

-1/7

Answer:

[tex] \frac{ - 1}{7} [/tex]

solution,

[tex] \frac{ - 5}{7} \times \frac{1}{5} \\ = \frac{ - 5 \times 1}{7 \times 5} \\ = \frac{ - 5}{ 35} \\ [/tex]

divide 5 and 35 by 5, you will get:

[tex] = \frac{ - 1}{7} [/tex]

hope this helps...

Good luck on your assignment

please answer these 2 question correctly and get marked brainliest

Answers

Answer:

See below.

Step-by-step explanation:

46.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

The 100-deg angle is an exterior angle whose remote interior angles are angles E and F.

m<E + m<F = 110

5x + 6x = 110

11x = 110

x = 10

m<E = m<FEG = 5x = 5 * 10 deg = 50 deg

Answer: C. 50 deg

47.

A is not true since we know that 5x + 6x must equal 110, not 70.

Answer:

<FEG=50

A. is wrong

Step-by-step explanation:

For the first question, we know <F &<E are remote interior angles which add up to 110 (exterior angle)

so:

[tex]5x+6x+110\\11x=110\\x=10[/tex]

so:

[tex]5x= 5(10)\\FEG=50[/tex]

Now using what we know, we can determine that A. is wrong since 5x+6x is 110° not 70°

Hope this helps!

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