How can you determine whether the data in a table represents a proportional relationship? *

Answers

Answer 1

Answer:

[tex]this \: can \: be \: done \: by \: appling \: the \to \\ rate \: of \: change \: law : \\ r.o.c \: (m) = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } [/tex]


Related Questions

What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2

Answers

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

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

simplify that in y=mx+b and you get

y=-1/2x-4

Example The double number line shows the amount of clay Jamal uses to make different numbers of identical bowls. Is there a proportional relationship between the amount of clay and the number of bowls? If so, what is the constant of proportionality for pounds of clay per bowl? Clay (pounds) 0 H 2 233 + + + 5 Bowls 0 1 2 3 4 6 All of the ratios for clay: bowls are equivalent. So, there is a proportional relationship. All of the ratios have the same rate, į pound of clay per bowl. The constant of proportionality is 3 1 a. Write an equation representing the pounds of clay, c, that Jamal from the Example needs to make b bowls. V b. Explain how to find the amount of clay Jamal needs to make 8 bowls.​

Answers

Answer:C: 2/3 B

Step-by-step explanation:

The answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.

We have to solve the subparts of the question to get the values.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The clay needed per bowl = [tex]\frac{2}{3}[/tex] pounds

a)

The equation for clay (c) to make b number of bowls will be ;

c =  [tex]\frac{2}{3}[/tex] × b

or

c =  [tex]\frac{2}{3}[/tex] b

b)

If there are 8 number of bowls

i.e., b = 8

Then ; amount of clay Jamal needs will be ;

c =  [tex]\frac{2}{3}[/tex] × 8

c = [tex]\frac{16}{3}[/tex] pounds

or

c = [tex]5\frac{1}{3}[/tex] pounds

Thus , the answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

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Hans is using frequent flier miles to fly to a location 750 miles away, but the airline he is using still charges $20.19 for fees and taxes and $0.15 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.15x + $20.19 How much did Hans pay for his trip?

Answers

Answer:

Cost of the trip = $132.69

Step-by-step explanation:

Given:

Total distance = 750 mile

Fixed charge = $20.19

Variable charges = $0.15 per mile

Find:

Cost of the trip

Computation:

Y = $0.15x + $20.19

Y = $0.15(750) + $20.19

Y = $132.69

Cost of the trip = $132.69

0.00054 - (3.2 x 10-4)
in scientific notation and standard notation​

Answers

Answer:

in scientific notation it is − 32x+4.00054

Step-by-step explanation:

thats all i know

HELP , ILL GIVE BRAINLIEST. Answer 5-8 please .

Answers

Answer:

#5. 17, #6. 22, #7. 14, and #8. 13

Step-by-step explanation:

Find the distance (8,-7) (-4,-2)

Answers

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]

[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]

[tex]\sqrt{144 + 25 }[/tex]

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

[tex]13[/tex]

Answer:

[tex]\boxed {d = 13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following onto the formula:

[tex](x_{1}, y_{1}) = (8, -7)[/tex]

[tex](x_{2}, y_{2}) = (-4, -2)[/tex]

[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]

[tex]d = \sqrt{144 + 25}[/tex]

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

[tex]\boxed {d = 13}[/tex]

Therefore, the distance is [tex]13[/tex].

What is the difference of –89.16 – 154.81?
–243.97
–65.65
65.65
243.97

Answers

Answer:

-243.97

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The ratio to boys to girls is 3:4.
If there is 12 boys how many girls are there?

Answers

Answer:

16

Step-by-step explanation:

3:4 to  12:?

3*4=12

so 4*4=16

12:16

Sergio wants to go the Empire State Building. The shortest path from the airport to the Empire State Building is about 14.4 miles long. What will be the cost of using Uber rush ?

Answers

Answer:

$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.

Step-by-step explanation:

fb + 3b = d solve for b

Answers

Answer: the answer is d/f+3

sorry i couldnt find my work for this problem but i hope it helps !

An equation is formed of two equal expressions. When in the given equation the value fo b is d/(f+3).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

fb + 3b = d

Take b as a common term from both the terms on the left side of the equation,

b(f + 3) = d

Divide both the sides of the equation by (f+3),

b(f + 3)/(f+3) = d/(f+3)

Simplify,

b = d/(f+3)

Hence, when in the given equation the value fo b is d/(f+3).

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Lesson Summary - Rate problems, including constant rate problems, always count or measure something happening per unit of time. The time is always in the denominator. - Sometimes the units of time in the denominators of the rates being compared are not the same. One must be converted to the other before calculating the unit rate of each. -------------------------------------------------------------------------------------- Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who takes 5 seconds to walk 25 feet? Review the lesson summary before answering!

Answers

Answer:

5 seconds to walk 25 feet

Step-by-step explanation:

60/10=6

25/5=5

What Is the answer to this geometric problem?

Answers

you can NOT assume points A, B, and F are collinear, since they could just be close together. also, they aren't all on a solid line, the line breaks halfway through.

also, the rest of the options could be proven by looking at the graph

hope this helps!! (sorry if i'm wrong, but i dont think i am)

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P
charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must
be purchased in order for the total cost at Carnival M and Carnival P to be the same?

Answers

25 tickets

I put the information into this equation 5+0.65x=10+0.45x

I solved the equation by first subtracting the 0.45x from both sides to get the variable on one side. I was left with 5+0.20x=10. Then I subtracted the 5 from both sides and got 0.20x=5. Finally I divided both sides by 0.20 to get the X by itself and got X=25

A smoothie shop receives a delivery of 682 ounces of grape juice and 570 ounces of orange juice.

If the Royal Purple smoothie requires 22 ounces of grape juice and the Orange Tango smoothie requires 19 ounces of orange juice, how many more Royal Purple smoothies than Orange Tango smoothies can be made with the shipment of juices?

A 2 smoothies
B 1 smoothie
C 13 smoothies
D 3 smoothies

Answers

The answer is gonna be: A 2 smoothies

MAX POINTS ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST ONLY CORRECT ANSWER

A conjecture and the two-column proof used to prove the conjecture are shown.
Given: the measure of angle C B D equals 90 degrees. Prove: triangle A B C is a right triangle. Ray B D extends down and perpendicular from point B on segment B C.

Drag an expression or phrase to each box to complete the proof.

Statement Reason
1. m∠CBD=90° Given
2. ∠ABC and ∠CBD are supplementary. Response area
3. Response area Definition of supplementary
4. m∠ABC+90°=180° Response area
5. Response area Subtraction Property of Equality
6. ∠ABC is a right angle. Definition of right angle
7. △ABC is a right triangle. Definition of right triangle

Answers

Answer:

I took the test

Step-by-step explanation: Linear pair postulate

m<abc + m<cbd =180°

subtraction property of equality

m<abc -90°

All expression and phrase are filled below.

Here,

We have to filled all expression and phrase.

What is right angled triangle?

A right-angled triangle is a triangle, which has one of its interior angles equal to 90 degree.

Now,

Given that;

⇒ m∠CBD = 90 degree  ….(i)    

We have to prove triangle ABC is right angled triangle.

We can see that the line extends down and perpendicular to the line segment BC at point B.

We can also see that ∠ABC and ∠CBD are supplementary angle.

Hence, We prove as;

         Statement                                                Reason

1) m∠CBD = 90 degree                                        ( Given )

2) ∠ABC and ∠CBD are supplementary.  ( Because ABD is a line and  

                                                                ∠ABC and ∠CBD are linear

                                                                pair)                                                

3). ∠ABC+∠CBD = 180 degree                ( Definition of supplementary)

4) ∠ABC+ 90 = 180 degree                      (  m∠CBD = 90 degree )

5) ∠ABC + 90 - 90 = 180° - 90°            ( subtraction property of equality)

                                                                         

∠ABC = 180° – 90°    (from (i))

∠ABC = 90 degree

6) ∠ABC is a right angle.                     ( Definition of right angle)

7) Δ ABC is a right triangle.                  ( Definition of right triangle)

Therefore, according to definition of right angled triangle,

The triangle ABC is a right angled triangle.

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If you were to roll the
dice two times what is the
probability it will NOT
land on a 4?

Answers

Answer:

.5

Step-by-step explanation:

was I right? if I was not sorry

Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
at 8:00 AM. After 5 hours, the pool contained
230 gallons of water. If the water input continues
at a constant rate, how many more hours are
needed to completely fill the 920-gallon pool?

Answers

Answer:

15 hours

Step-by-step explanation:

To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.

Which expression is equal to √520−√345?

11√5

-√5

−11√5

√5

Answers

The answer is square root 5

The value of the expression when simplified is equal to √5. The correct option is D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given radical expression can be simplified as shown below,

5√20 - 3√45

Write the under root values in the factored form,

= 5√(4×5) - 3√(9×5)

Simply the function that can be simplified,

= 5(√4 × √5) - 3(√9 × √5)

= 5(2√5) - 3(3√5)

= 10√5 - 9√5

Take √5 as the common term from the two of the given terms,

= (10 - 9) √5

= 1 √5

= √5

Hence, the value of the expression when simplified is equal to √5.

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⚠️WILL GIVE BRAINLIEST ANSWER⚠️

In complete sentences describe how you solve the expression below:


[tex] - 36 \div ( - \frac{4}{9} [/tex]

Answers

Answer:

81

Step-by-step explanation:

put -36 over 1 and -4/9 in its reciprocal which is -9/4 and multiply.. -36(-9)=324

then multiply -1 by -4=4 now you have 324/4 which is simplified to 81..

PLEASE GIVE BRAINLIEST REALLY NEED IT

find the square root of 144​

Answers

Answer:

12

Step-by-step explanation:

Hi there !

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1

144 = 2⁴ × 3²

√144 = √2⁴×3² = 2²×3 = 4×3 = 12

Good luck !                                                

help please thank you
Mary did the following problem.

57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9

Which of the statements is true?

It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11

Answers

Answer:

its C

Step-by-step explanation:

i got this right on my quiz

Answer: it's wrong because subtraction comes before addition

Step-by-step explanation:

in the order of operations, there is PEMDAS

parentheses  

exponents

multiplication

addition

subtraction

from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...

57-36+48

moving left to right you would do 57-36 first

Cómo se escribe el doble de un número en lenguaje algebraico

Answers

El doble de un número sería : 2x

The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

i think its 64.66

Step-by-step explanation:

07x53=3.71

0.15x53=7.95+53=60.95+3.71=64.66

Answer:

$64.66

Step-by-step explanation:

find the amount of tax 53 x .07 = 3.71

find the amount of the tip 53 x .15 = 7.95

53 + 3.71 + 7.95 = 64.66

Which expression is equal to (5−2i)−(1+3i)

Answers

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

There are 4 quarters in 1 dollar the total number of dollars is a function of the number of quarters does this situation represent a linear or nonlinear function? Explain why

Answers

Answer:

sample answer:   If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4

Step-by-step explanation:

The situation is a representation of the linear function.

What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate plane and, as such, a linear function.

Given that,

One dollar is divided into four quarters.

The total number of dollars is a function of the number of quarters.

Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value

As a result, the slope should be 1/4.

y = 1/4x should be the linear function.

Hence, As a result, we can conclude that the situation is a linear function.

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Which statement is a correct interpretation of the vertical line test?
If only one vertical lire intersects the graph at exactly one point, the graph represents a function
Off only one vertical lire intersects the graph at exactly one point, the graph does not represent a function
• If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
✓ x
the

Answers

Answer:

A and D

because those are the correct ones :)

Answer:

D. If any vertical line can intersect the graph at more than one point, the graph does not represent a function.

Explanation:

I took the quiz and got it right.

Hope this Helps!

What would i^7 be simplified to?

Answers

Answer:

-I

Step-by-step explanation:

it would be simplified to -1

HELPPPP!!!! PLEASE AND THANK YOU ALL FOR ANYONE WHO ANSWER :)

simplify the expression
-d – 10.25(16d – 4)

Answers

Answer:

−165d+41

Step-by-step explanation:

2 1/2 divided by 5/2 = ?

Answers

Answer:

I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.

Step-by-step explanation:

How do you understand
% ahh!!!

Answers

Answer:

what

Step-by-step explanation:

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