15.

Write a direct variation equation if x = 7 and y = 42.

16.

Use the equation in example 15 to find x if y = 66.

Answers

Answer 1

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6


Related Questions

Margie says the set of numbers, 0. 1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The â€"1 should be the first number on the list.

Answers

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

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Identify the domain and range of the following relation. {(3,-2), (5,2), (7,6), (9,10), (11,14)}

Answers

D:3, 5, 7, 9, 11
R: -2, 2, 6, 10, 14

Victoria kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air, it reached a height of approximately 15 feet. Assuming that the soccer ball height (in feet) is a function of time (in seconds), what is the domain in the context of this problem?​

Answers

Answer:

the Domain would be represented by Time in this problem, since time can only be positive, the domain would start at zero seconds and end at 5 seconds when the soccer ball hits the ground.

Step-by-step explanation:

Chef Ira has 613 pies he wants to sell at his restaurant. Each slice is 16 pie and costs $1.50. Chef Ira sells all the remaining slices of pie.


How much money will he earn?


A. $9.00

B. $9.50

C. $38.00

D. $57.00

Answers

D is the answer see picture attached

enter a formula using k to connect the two variables. y is proportional to 1/x

Answers

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx[/tex]

Jehe44(66)=iisv(27 this is your answer

Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to 3 chocolates. After 8 nights, there were 6 chocolates remaining in the box.

Answers

Step-by-step explanation:

i am trying to solve it but how

many chocolate were there in a box

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

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answer:

y=-1/2x-1

Step-by-step explanation:

y-y1=m(x-x1)

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

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

y=-1/2x+2/2-2

y=-1/2x+1-2

y=-1/2x-1

what is the rate of the graph shown below answer and i will make you branilest

Answers

Answer:

2

Step-by-step explanation:

Basically I use rise over run, or rise ÷ run.

The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.

Roger is paid $50 to sell videos of a play to an audience after the play is performed.

He also receives $2 for each video he sells. The equation E=50+2v
E=50+2v
models the amount of money Roger earns selling v videos. The play's audience consists of 230 people.

What is the practical range of the equation?

Question options:

The set of all even integers greater than or equal to 50 and less than or equal to 510


The set of all integers greater than or equal to 50 and less than or equal to 510


The set of all real numbers greater than 0 and less than 230


The set of all real numbers greater than 50

Answers

Answer: Choice A

The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.

===========================================================

Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

E = 50+2*0

E = 50+0

E = 50

This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

E = 50+2*230

E = 50+460

E = 510

This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.

So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

Answer: the answer is A

______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
1 point
Supplemnatary
vertical
adjacent
linear pair

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

✌️❤️✌️

......

You can retry this question below
The sum of two numbers is 71. The difference of the two numbers is 41. What are the two numbers.
Let x be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 71."
Write an equation that expresses the information in the sentence "The difference of the two
numbers is 41."
Solve the system you have written above.
The larger number, x is
The smaller number, y is
Calculator

Answers

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71

Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation

Answers

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]



Which choice is similar to the figure shown?

Answers

Answer:

The parallelogram whose sides are 5 and 20  is similar

Step-by-step explanation:

The parallelogram whose sides are 5 and 20  is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.

 [tex]\frac{2}{5} = \frac{8}{20}[/tex]                 [tex]\frac{2}{4} \neq \frac{8}{18}[/tex]

 [tex]\frac{2}{5} =\frac{2}{5}[/tex]                   [tex]\frac{2}{4} \neq \frac{8}{4}[/tex]

Barbara has some dimes and quarters. If she has 16 coins worth a total of $2.50, how many of each type of coin does she have?

Answers

Answer:

10 dimes and 6 quarters.

Step-by-step explanation:

2.50-25-25=2.00-10 dimes = 1.00-4 0.25=0

so

10 dimes and 6 quarters.

Answer:

10 Dimes and 6 Quarters.

Step-by-step explanation:

Important info:

16 Coins

Total = $2.50

Note:

Dimes = 0.10 Cents

Quarters = 0.25 Cents

Question to answer:

How many of each type of coin does she have?

Solution:

10 Dimes = $1.00

6 Quarters = $1.50

$1.00+$1.50 = $2.50

Therefore 10 Dimes and 6 Quarters = $2.50 and = 16 Coin.

What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password? a. 39 b. 900 c. 399 d. 9000 Please select the best answer from the choices provided. A B C D.

Answers

We want to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

We will see that the correct option is D: 9,000

The total number of different combinations is given by the product between the number of options for each selection.

Here we have 4 selections.

First character.Second character.Third character.Fourth character.

Now let's find the number of options for each of these:

First character: 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Second character:  10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Third character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Fourth character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9*10*10*10 = 9,000

So we can conclude that the correct option is D.

If you want to learn more about combinations, you can read:

https://brainly.com/question/2280026

Answer:

✅ D. 9000

just took the test

Gabriella earns $17 an hour and gets a 15%
raise. With her raise, how much will she earn after working 40 hours?
A. $680
B. $702
C. $782
D. $796

Answers

c: 782 dollars

.15 times 17 is 2.55

17+2.55= 19.55

19.55 times 40=782

PLS HELP!!! WILL MARK BRAINLIEST!!

Answers

Answer:

D

Step-by-step explanation:

Describe the end behavior of the function.


f(x)=3(1/5)^x-2

Answers

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

41)533
What is 533 divided by 41 using Partial Quotients?

Answers

Answer:

13

Step-by-step explanation:

533÷41=13 just use a calculator

"The square root of two times a number subtract five is equal to ten."

Answers

I think this is √2n-5 = 10.

Mean and median of 1024 divided by 16 and of these numbers 34,48,52,61,76,76,61,84,61,39,83,61,79,81,56,88

Answers

Answer:

8

Step-by-step explanation:

88888888888888888888888888888888888

Abigail must move a bucket of tomatoes from her garden to her kitchen, as represented on the grid below.
y
Kitchen
L(5, 1)
-1 0
2
Garden
-(-3, 4)

Answers

the distance would be 9.43 units.
step by step explanation:

Answer:

Step-by-step explanation:

9.43

Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)

Answers

Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.

I need help and I can’t find any sadly. Help!!

Answers

Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality

Step-by-step explanation:

what term is used to refer to the reverse order of a conditional statement​

Answers

[tex] \: \: \: \: \: \: [/tex]

converse

The converse of a conditional statement is created when the hypothesis and conclusion are reversed.

hope it helps

Each of three friends Lynn Jada and Andre has the goal of raising $40 how much money did each person raise according to the following Jada raise 50% of her goal

Answers

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

Find the slope of the line from the points and the graph.
15. (2,4) and (5, 13)
16. (4,5) and (9,-3)

Answers

(2,4) and (5,13) is m=-1/3 and (4,5) and (9,-3) is m=-8/5

Answer:

15. m=3 16. m=-8/5 or -1.6

Step-by-step explanation:

The formula for slope is m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

so for #15

[tex]\frac{13-4}{5-2}[/tex]=[tex]\frac{9}{3}[/tex]=3

and for #16

[tex]\frac{-3-5}{9-4}[/tex]=[tex]\frac{-8}{5}[/tex]=-1.6

What is the radius of a circle whose equation is x2 y2â’10x 6y 18=0? 2 units 4 units 8 units 16 units.

Answers

The radius of the circle is 4 units.

Given to us:

[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]

The generalized format for radius of a circle is given by:

[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]

therefore after rearrangement of the equation we get,

[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]

adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get

[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]

[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]

Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.

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I need help ! This paper is due tmr

Answers

Answer:B because i did the work and it’s it

Can someone plz help me? I really don’t get this

Answers

Answer:

D.

Step-by-step explanation:

The question is asking which expressions are the same. To find the answer, or rather confirm it, you should simplify each expression.

A. 8+(3*y) and (8+3)*y

8+3y and 11y

This cannot be the answer, when simplified they are not equal

B. (7-3)*y and 7-(3*y)

4y and 7-3y

This cannot be the answer, when simplified they are not equal

C. (6/y)+13 and 13+(y/6)

13+6/y and y/6+13

This cannot be the answer, when simplified they are not equal

D. 7+(y*5) and 7+(5*y)

7+5y and 7+5y

This is the answer, when simplified they are equal

I hoped this helped and made it easier to understand! :)

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