Mathematics Middle School

Which of the following statements best represents the relationship between a relation and a function.

1. A function is always a relation but a relation is not always a function.
2. A relation is always a function but a function is not always a relation.
3. A relation is never a function but a function is always a relation.

Answers

Answer 1

Answer:

1. A function is always a relation but a relation is not always a function.

Step-by-step explanation:

A function is a relation in which each element of the domain is mapped to one element of the range.

This means that every function is a relation, but not every relation is a function.

Related Questions

The formula d = rt gives the distance traveled in time t at rate r. A delivery truck drives for 1.5 hours and travels 76 miles.
What was the average speed of the truck?
a.38 miles per hour
b.50.7 miles per hour
c.74.5 miles per hour
d.114 miles per hour

Answers

76=r(1.5)
76/1.5=r(1.5)/1.5
50.7=r

B. 50.7 miles per hour

d = rt
so now you plug in all the numbers with the given information you have
(76) = r(1.5)
start from the variable side
1.5r = 76
1.5r/1.5 = 76/1.5r
r = 50.7
so your answer will be
B.) 50.7 miles per hour

The diameter of a circle is the same length as the side of a square . The perimeter of the square is 16 cm . Find the diameter of the circle . Then find the circumference of the circle in terms pie?

Answers

perimeter of a square = 4*side
by substituting
16=4*side
dividing by 4
side=4
since diameter=side
then the circumference =d*pi
therefore=4*pi is the circumference

I WILL GIVE BRAINLIEST to who answers this question right

Answers

The answer is:  "25 feet"
____________________________________________
Explanation:
___________________________________________

Perimeter = 2*(length) + 2*(width);

or; "P = 2L + 2w " ;.
____________________________________________
In this case:

"P = (2L + 2w) − 2 ⅚ " ; solve for "P" ; all units are in "feet (ft)" ;
____________________________________________________
From the diagram; we are given:
____________________________________________________
L = 12 ¼ ;

w = 10 ;
____________________________________________________

  →   " P = { [2* (12 ¼) ] + [2* 10] } − 2 ⅚ " ; Solve for "P" ;
__________________________________________________________
Note: Rewrite "12 ¼" ; AND: "2 ⅚" as "improper fractions" :
_________________________________________________________
→ " 12 ¼ = [ (4*12) + 1 ] / 4 = [tex] \frac{48+1}{4} [/tex] = [tex] \frac{49}{4}[/tex] " ;

→ " 2 ⅚ = [ (6*2) + 5 ] / 6 = [tex] \frac{12+5}{6} [/tex] = [tex] \frac{17}{6}[/tex] " ;
_________________________________________________________
Rewrite our equation:

→ " P = { [2* (12 ¼) ] + [2* 10] } − 2 ⅚ " ;;

substituting the "mixed numbers" with "improper fractions" ;
→ " P = { [2* ([tex] \frac{49}{4}[/tex]) + [2* 10] } − [tex] \frac{17}{6}[/tex] " ;
________________________________________________________
→ Note: " 2*[tex] \frac{49}{4}[/tex] ;

= [tex] \frac{2}{1} [/tex] *[tex] \frac{49}{4}[/tex] " ;

The "2" in the " [tex] \frac{2}{1} [/tex] "
cancels to "1" ; and the "4" in the " [tex] \frac{49}{4}[/tex] "
cancels to "2" ; {Since: "(4÷2=2)" ; and since: "(2÷2=1)" ;

→ and we have: " 2*[tex] \frac{49}{4}[/tex] = " [tex] \frac{49}{2} [/tex] " .
___________________________________________________
Note: {2*10] = 20 .
___________________________________________________
So; we can rewrite our equation as follows:
___________________________________________________
→ " P = [tex] \frac{49}{2}[/tex] + 20 − [tex] \frac{17}{6}[/tex] " ;
___________________________________________________
Now, multiply the entire equation (both sides) by "6" ;
to get rid of the fractions;
____________________________________________________
→ 6*{P = [tex] \frac{49}{2}[/tex] + 20 − [tex] \frac{17}{6}[/tex] } ;
____________________________________________________
to get:
____________________________________________________
  → 6P = ([tex] \frac{6}{2}[/tex] *49) + 20 − (6*[tex] \frac{17}{6}[/tex]) ;

→ 6P = (3 * 49) + 20 − ([tex] \frac{6}{6} [/tex] * 17) ;

→ 6P = ( 3 * 49) + 20 − (1 * 17) ;

→ 6P = ( 3 * 49) + 20 − (1 * 17) ;

→ 6P = (147) + 20 − 17 ;

→ 6P = 147 + 20 − 17 ;

→ 6P = (147 + 20) − 17 ;

→ 6P = 167 − 17 ;

→ 6P = 150 ;
__________________________
Now, divide EACH SIDE of the equation by "6" ; to isolate "P" on one side of the equation; and to solve for "P" (which is our answer, in units of "feet" (ft). ;
__________________________
→ 6P / 6 = 150 / 6 ;

to get: → P = 25 .
_____________________________________________
The answer is: "25 feet" .
_____________________________________________

And help on this one too.

THANKYOU!

Answers

For every ladybugs = +5 points
For every stinkbugs = -3 points

4 ladybugs and 8 stinkbugs in all

4(5) = 20
8(-3) = -24

20 - 24 = -4

The Players score is -4

hope this helps

alecu a imprumutat de la un prieten romanul lui james verne ,,Ocolul Pamintului" in 80 de zile. Daca ar citi zilnic 14 pagini, ar terminar cartea in 12 zile. Deoarece sunt si alti doritori de a citi aceasta carte captivanta, prietenul l-a rugat sa-i inapoieze cartea intr-o saptamina. Cite pagini trebuie sa citeasca zilnic Alecu pentru a indeplini rugamintea prietenului?

Answers

Salut!
Alecu ar citi in 12 zile 14 x 12 = 168 de pagini (atatea pagini are cartea);
O saptamana are 7 zile, asa ca 168 ÷ 7 = 24 de pagini trebuie sa citeasca zilnic Alecu ca sa inapoieze cartea la sfarsitul celor 7 zile;
Succes!

15 points!

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answers

y2 - y1 (-4,-6)    (2,6)
______ x1 y1    x2 y2

x2 - x1

6,-(-6)
______

2, -(-4)

12/6 = 2

Finding the slope
__________________________________

mx + b

2x + 2
would be the answer

Answer:

[tex]y=2x+2[/tex]

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(-4,-6)\ B(2,6)[/tex]

Substitute the values

[tex]m=\frac{6+6}{2+4}[/tex]

[tex]m=\frac{12}{6}=2[/tex]

step 2

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=2[/tex]

[tex]B(2,6)[/tex]

substitute and solve for b

[tex]y=mx+b[/tex] ------> [tex]6=(2*2)+b[/tex]

[tex]6=4+b[/tex]

[tex]b=2[/tex]

The equation of the line is equal to

[tex]y=2x+2[/tex]

HELP YOU ONLY HAVE TO ANSWER 1 BUT YOU CAN DO ALL IF YOU WANT

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?

(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.

(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - x
(c) 4x + 8 = 2x + 7 + 2x - 20

3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.

Answers

3. c x 3 = 4
c x 3/3 = 4/3 ( Use the inverse of operation and divide both sides of the equation to isolate the variable)
c = 4/3
c = 1.333333333, 3/4 = 0.75

1)sister-x
kim will represent 2x
x+2x=36
3x=36
x=12
2x=24
Kim is 24 years old and her sister is 12 years old.

3).3x will represent tanya and 4y will represent tony.
3x=4(x-2.25)

Mr. Collins’s bowling league has 48 members. If the league splits into teams of 12 members each, how many equally sized teams will there be?

Answers

There will be 4 equally sized teams. 4 groups of 12 is equal to 48, 48 divided by 12 is equal to 4.

There are 4 equally sized teams

An ostrich egg has about the same volume as a sphere with a diameter of 5 inches. If the eggshell is 1/12 inch thick, find the volume of just the shell, NOT including the interior of the egg. Round to the nearest tenth

Answers

volume of the shell is 3.1 cubic inches

Triangle A’B’C’ is a dilation of triangle ABC about point P.

A. enlargement

B. reduction

Answers

The answer is enlargement

the anwers is A enlargment
i think

Which improper fraction is equal to the mixed number 4 7/9

Answers

4 7/9 = 43/9

hope it helps

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

43/9

To find the improper fraction multiply the 4 times 9 to get 36 then add the remaining 7 to get 43. Put 43 over the remainder 9. To get the answer 43/9.

Do those two problems have the same answer?

Answers

hope this helps that is 64x

f(x)=2x+3 find x=9 explain how you got the answer please help me I need the answer today

Answers

You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21

Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a rational exponent. Make sure you respond with complete sentences.

Answers

Answer:

21/x5

Step-by-step explanation:

Write 70 in prime factor form

Answers

The answer is: " 7 * 5 * 2 " .
_________________________________
70 = 7 * 10;

7 * 10 = 7 * 5 * 2 .
_________________________________

Which graph shows y=1/2⌈x⌉ ?

Answers

Answer:

Your answer is B

Step-by-step explanation:

The graph that shows y=1/2⌈x⌉ is Graph B

How to determine the graph

The function y=1/2⌈x⌉ represents the graph of y in terms of x where [x] denotes the ceiling function that rounds x up to the nearest integer.

The graph of y=1/2⌈x⌉ consists of a series of horizontal line segments with a slope of 1/2 at integer values of x, jumping to the next integer value as x increases .

Visually, this graph would show horizontal line segments positioned at integer value of x, with each segment having a slope of 1/2 and stepping up or down to the next integer value of y

Learn about graphs at: https://brainly.com/question/19040584

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The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:

V = 2s3

If s = 3.5 units, what is the value of V?

A: 21.0 cubic units
B: 24.5 cubic units
C: 36.75 cubic units
D: 85.75 cubic units

Answers

A. 21.0 cubic units
2 × 3.5 × 3

when [tex]$s = 3.5$[/tex] units, the total volume V of the two identical boxes is 85.75 cubic units. So option (d) is correct.

To find the total volume V of two identical boxes, we use the formula $V [tex]= 2s^3$[/tex], where s represents the length of a side of the box.

Given that s = 3.5 units, we substitute this value into the equation:

[tex]$$V = 2 \times (3.5)^3$$[/tex]

First, calculate the cube of 3.5:

[tex]$$(3.5)^3 = 3.5 \times 3.5 \times 3.5 = 42.875$$[/tex]

Now, multiply the result by 2 to find V:

[tex]$$V = 2 \times 42.875 = 85.75$$[/tex]

So, when [tex]$s = 3.5$[/tex] units, the total volume V of the two identical boxes is 85.75 cubic units.

Identify the solutions of the inequality 11 ≤ p + 5.

all real numbers greater than 6
all real numbers less than or equal to 6
all real numbers greater than or equal to 6
all real numbers less than 6

Answers

all real numbers greater than or equal to 6

How do you turn 8/10 as a percent

Answers

Since the percentage is 8/10, we can take it and mutiply it by 10 (8 and 10) to get 80/100. The percentage is 80%.

Hello! To turn 8/10 as a percent, just write out and solve a proportion. It would be set up like this: 8/10 = x/100. Percent is parts of 100 and you want to know the percent that 8/10 would be, so you put the “x” up top. Cross multiply the values. 8 * 100 is 800 and 10 * x = 10. You would get 800 = 10x. Now, divide each side by 10 to isolate the “x”. 800/10 is 80. x = &”. There. 8/10 as a percent is 80%.

an auto transport truck holds 12 cars. A car dealer plans to bring in 1006 new cars in June and July. if an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?

Answers

divide 1006 by 12

1006 / 12 = 83.833

so 83 full trucks

83 *12 = 996

1006-996 = 10 cars will be on the last truck

Final answer:

To transport 1006 cars, 84 full truckloads are needed, with 10 cars in the last truck.

Explanation:

To calculate the number of full truckloads needed, we divide the total number of cars (1006) by the number of cars a truck can hold (12).
1006 / 12 = 83.83...

Since we can't have a fraction of a truckload, we round up to the nearest whole number.
Therefore, we need 84 full truckloads.

To find the number of cars in the last truck, we subtract the number of cars in the full truckloads from the total number of cars.
1006 - (83 * 12) = 1006 - 996 = 10

So, the last truck will have 10 cars.

Learn more about Auto Transport here:

https://brainly.com/question/37500485

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the height of a tree was 8 feet. after a year, tree's height increased by 25%. use a bar diagram to find the new height of the tree?

Answers

8×.25=2
8-2=6
so what you would do is make a bar graph where the y axis would be years and the x axis being height

Which fraction is bigger 5/6 or 8/9?

Answers

5/6 = 5 ÷ 6 = 0.8333

8/9 = 8 ÷ 9 = 0.8888

so 8/9 is bigger.

hope this helped, God bless!

8/9 would be bigger.

This would be because, the number on the right side of the dash, is how many times 1 is split up, and the number on the left is the amount of split up chunks you would take.

In this case, 5/6, you would have 1 split into 6 chunks, and taking 5 out of 6 of them. 8/9 would be 1 split into 9 chunks, and taking 8 out of 9 of them.

Since there are more parts in 8/9 and you're taking almost all of them, it would be bigger then 5/6.

So therefore 8/9 is bigger.

Solve the system of equations by substitution.
x + y =
x + 7y = 8

Answers

its (1,1) because I just took the test

I need help with these three questions (please help me turn them into algebraic form) Thanks!

1.the quotient of five and the difference of a number and three

2.the product of a number and twenty decreased by eleven

3.the difference of thirty and a number, multiplied by two

Answers

the quotient means divide.....the difference means subtract
the quotient of 5 and the difference of a number and 3..
5 / (x - 3) <== ur expression

the product means multiply....decreased means subtract
the product of a number and 20 decreased by 11..
20x - 11 <== ur expression

the difference means subtract
the difference of 30 and a number, multiplied by 2
2(30 - x) <== ur expression

Haha to eat a little bit more of the time and time for the things you need

You are a member of darts team and they have won £1750 prize money in a competition. £70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members. How much will you get ?

Answers

The answer is: " £120."
__________________________

£1750 - £70 = £1680 .

£1680 / 14 = £120 .
__________________________

a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal

Answers

Answer:

Look at the explanation!

Step-by-step explanation:

Blue: 5/20 or 1/4, .25, 25%

Red: 8/20 or 2/5, .40, 40%

Green: 7/20, .35, 35%

Item 9
Evaluate
(3−1)
3
+7(6)−
5
2
(3−1)3+7(6)−52
.

Answers

To evaluate the expression (3-1)³ + 7(6) - 5/2, simplify the components individually and then substitute the values back into the expression to find the final result of 47.5.

Evaluate the expression:

(3-1)³ + 7(6) - 5/2

First, we simplify the expression:
(3-1)³ = 2³ = 8
7(6) = 42
5/2 = 2.5

Substitute these values back into the expression: 8 + 42 - 2.5 = 47.5

A soda shop owner told his employee to add 2 full cups and 1/5 of a cup of syrup to each gallon of soda. If there were 4 gallons of soda, how much syrup would be needed? Show your work.

Answers

To find the amount of syrup, multiply the amount of syrup per gallon by the number of gallons of soda. In this case, this would be 2 1/5 cups and 4 gallons.

2 1/5 x 4

(Changing the mixed number 2 1/5 to an improper fraction!)

11/5 x 4/1 = 44/5

(Change back to a mixed number after multiplying!)

8 4/5 cups of syrup

Hope this helps!! :)

2 and 1/5 cups for one gallon, so for four gallons, you did four times as much. 2•4=8, and 1/5•4=4/5, so you need 8 and 4/5 cups of syrup

slope is 0 and (0,5) is on the line
What is standard form please!

Answers

I think the answer would be 3

Which quotient results in a terminating decimal? A.)5/6 divided by 1/3 B.)50 divided by 6/5 C.)1/2 divided by 3/5 D.)100 divided by 3:4

Answers

b I'm just adding this text so my answer goes through but its still b

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