Mathematics College

which of the following equations represents a direct variation?



A y=x -1
B y=×/3
C y = x + 5
D y = 2x-3

Answers

Answer 1
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is k = = 3 . Thus, the equationdescribing this direct variation is y = 3x .
Answer 2

The equation represents a direct variation is y = x/3. So option (b) is correct.

A direct variation is a relationship between two variables where one variable is a constant multiple of the other. To identify a direct variation, we look for equations in the form y = kx, where k is a constant.

Let's analyze each equation:

A) y = x - 1

This equation doesn't represent a direct variation because it includes a constant term (-1) in addition to the variable x.

B) y = x/3

This equation represents a direct variation because it's in the form y = kx, where k = 1/3.

C) y = x + 5

Similar to option A, this equation doesn't represent a direct variation because it includes a constant term (+5) in addition to the variable x.

D) y = 2x - 3

Similar to option A, this equation doesn't represent a direct variation because it includes a constant term (-3) in addition to the variable x.

Therefore, the correct answer is B) y = x/3, as it represents a direct variation.

Related Questions

If you add 20% of a number to the number itself what percent of the result would you have to subtract

Answers

n+ 0.2n = 1.2nn = (1.2n) - (1/6)*(1.2n)
1/6 = 16.667%

A tree has a height of 18 feet and casts a shadow that is 6 feet in length. A boy, standing at the base of the tree’s shadow, has a height of 4 feet. How long is the shadow cast by the boy?

Answers

The two triangles of this statement are similar, so:

height of the three / its shadow = height of the boy / it shadow

18 / 6 = 4 / x => x = 4*6 / 18 = 24 / 18 = 4 / 3

Convert to mixed number: 4 / 3 = 1 and 1/3.

So, the answer is the option A. [tex]1 \frac{1}{3} feet[/tex]

Each package of dried fruit contains 3/16 of a pound Mr. Lopez has 4 pounds of dried fruit How many packages can he fill

Answers

Final answer:

Mr. Lopez can fill 21 full packages of dried fruit, each containing 3/16 of a pound, with his 4 pounds of dried fruit.

Explanation:

The question asks how many packages of dried fruit Mr. Lopez can fill if each package contains 3/16 of a pound and he has 4 pounds of dried fruit. To answer this, we need to perform a division to find out how many 3/16 are in 4 pounds.

To solve this, we divide 4 pounds by 3/16 pounds per package:

4 ÷ (3/16) = (4/1) ÷ (3/16) = (4 × 16) / 3 = 64/3 = 21 with remainder 1.

Therefore, Mr. Lopez can fill 21 full packages of dried fruit and will have a little left over which is not enough to fill an additional full package.

Find the limit, if it exists, or type dne if it does not exist.
a. \displaystyle\lim_{(x, y) \rightarrow (0, 0)} \frac{(x + 23y)^2}{x^2 + 529y^2} =

Answers

[tex]\displaystyle\lim_{(x,y)\to(0,0)}\frac{\left(x+23y)^2}{x^2+529y^2}[/tex]

Suppose we choose a path along the [tex]x[/tex]-axis, so that [tex]y=0[/tex]:

[tex]\displaystyle\lim_{x\to0}\frac{x^2}{x^2}=\lim_{x\to0}1=1[/tex]

On the other hand, let's consider an arbitrary line through the origin, [tex]y=kx[/tex]:

[tex]\displaystyle\lim_{x\to0}\frac{(x+23kx)^2}{x^2+529(kx)^2}=\lim_{x\to0}\frac{(23k+1)^2x^2}{(529k^2+1)x^2}=\lim_{x\to0}\frac{(23k+1)^2}{529k^2+1}=\dfrac{(23k+1)^2}{529k^2+1}[/tex]

The value of the limit then depends on [tex]k[/tex], which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.

What is the area under the normal curve between z = 0.0 and z = 1.79?

Answers

0.4633.

I remember some of the questions to this assignments.

Final answer:

The area under the normal curve between z = 0.0 and z = 1.79 is 0.4641.

Explanation:

The area under the normal curve between z = 0.0 and z = 1.79 can be found by subtracting the area to the left of z = 0.0 from the area to the left of z = 1.79.

The area to the left of z = 0.0 is 0.5000, and the area to the left of z = 1.79 is 0.9641 according to the Z-table.

Subtracting the two values, we get an area of 0.4641 between z = 0.0 and z = 1.79.

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Which is the best unit to use for measuring the length of an eyelash millimeters C centimeters B meters or D kilometers

Answers

i believe it is centimeters 

The best unit for the measurement of length of eyelash is millimeters

A fundamental unit of measurement is a unit of measurement in which other units are derived from, it includes length often expressed as follows;

kilometers; for large distancesmeters for large lengths of objectscentimeters; for small distances or lengths of objectsmillimeters; for relatively small lengths, like keys, eyelashes etc

Thus, the best unit for the measurement of length of eyelash is millimeters

Learn more here: https://brainly.com/question/24161150

a 6-pack of capri-Suns costs $8.80 .How much would a 24-pack cost if the costs are proportional

Answers

now, in a 6-pack, there are 6 bottles, 6-pack.

in a 24-pack, there are 24 bottles, 24-pack.

so, if 6 bottles, cost 8.80, how much will it be for 24 bottles then?

[tex]\bf \begin{array}{ccll} bottles&price\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 6&8.80\\ 24&p \end{array}\implies \cfrac{6}{24}=\cfrac{8.80}{p}\implies p=\cfrac{24\cdot 8.80}{6}[/tex]

What is the molar solubility of magnesium fluoride in a solution that is 0.40 m f− ions? the ksp of mgf2 is 6.4 × 10−9. hints what is the molar solubility of magnesium fluoride in a solution that is ions? the of is . 8.0 × 10−9 8.0 × 10−5 1.6 × 10−8 4.0 × 10−8?

Answers

Answer: MgF2 ====⇒ Mg+2 + 2F- Ksp = [Mg+2][F-]^2 Let S = molar solubility of MgF2 [Mg+2] = S ; [F-] = 2s Since the [F-] is initially 0.40 M, then [F-] = 0.40 + 2S 6.4 x 10^-9 = (S) (0.40 + 2S)^2 ; one can neglect the 2S in the 0.40 + 2S expression since it is very, very small compared to the 0.40 already present. 6.4 x 10^-9 = S(0.40)^2 S = 4.0 x 10^-8 Molar solubility = 4.0 x 10^-8
Final answer:

The molar solubility of magnesium fluoride in a solution with a concentration of 0.40 M fluoride ions is 0.80 M.

Explanation:

The molar solubility of magnesium fluoride in a solution with a concentration of 0.40 M fluoride ions can be calculated using the solubility product constant (Ksp) of MgF2, which is 6.4 × 10-9.

First, write the dissolution equation for MgF2: MgF2(s) ⇌ Mg2+(aq) + 2F-(aq)

Since the stoichiometry of the dissolution equation is 1:2 between magnesium ions and fluoride ions, the molar solubility of MgF2 is twice the concentration of fluoride ions.

Therefore, the molar solubility of MgF2 in a solution that is 0.40 M fluoride ions is 2 × 0.40 M = 0.80 M.

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A class of 40 students elected a class president. There were 12 votes for Candidate A, and 18 votes for Candidate B. The remaining students in the class did not vote. Which expression gives the percent of voters who voted for Candidate A?

Answers

Hey You!

12/40 = Candidate A.

18/40 = Candidate B.

12 + 18 = 30

40 - 30 = 10

10/40 = Those who didn't vote.

ANSWER:

12 ÷ 40 = .3 (30%) So 30% voted for Candidate A.

18 ÷ 40 = .45 (45%) So 45% voted for Candidate B.

10 ÷ 40 = .25 (25%) So 25% didn't vote at all.

Those Are Your Answers! ^^^

Christina can paint 420 square feet in 105 minutes. Which unit rate describes the scenario?
4 square feet per minute
square foot per minute
1 square foot per 4 minutes
1 square foot per minute

Answers

You've gotta find the least common variable. both of these can be divided by 105. 420 divided by 105 is 4. 105 divided by 105 if 1. there are 4 square feet for every minute. The answer is A.

divide total sq ft x total minutes to get square feet per minute

420/105 = 4

so 4 sq ft per minute

You and two friends got jobs at stores in the mall. You earn
$117.60
$117.60
for
14
14
hours of work. Ty earns
$148.50
$148.50
in
18
18
hours. Kim earns
$137.60
$137.60
in
16
16
hours. Who has the highest pay rate in dollars per hour?



Answers

Divide each amount of money by its hours.

$117.60/14 = $8.40/hour

$148.50/18 = $8.25/hour

$137.60/16 = $8.60/hour

Kim earns the highest pay per hour.

The ratio of blue marbles to white marbles in a bag is 4 to 5 at this rate how many blue marbles are there if there are 15 white marbles

Answers

12 blue marbles for 15 white marbles because you multiply 5*3 so multiply 4*3 to get answer

I'm struggling on this!!!!!!!!!
In a photograph, a sculpture is 4.2 cm tall and 2.5 cm wide. The scale factor is 1 to 16. Find the size of the actual sculpture.

Answers

That means that the sculpture is going to be 16 times the size in the photo. 4.2*16=67.2 cm, 2.5*16=40 cm wide. The actual sculpture is 67.2 cm tall and 40 cm wide! If you need the answer in anything other than centimeters, just tell me!

Step-by-step explanation:

67.2 Length And 40cm Wide

ok i have calculated this and i srill havent got the right answer

Answers

66 x 0.3 = 19.8
66-19.8 = 46.2
66 x 0.05 = 3.3
46.2 + 3.3 = 49.5

B
1. The original price of the shoes is 100% of the price of the shoes.
If you discount them by 30%, you will only pay 100% - 30% = 70% of their original price.

70% of $66 =

= 70% * $66

= 0.7 * $66

= $46.2

2. Now you have an item that costs $46.20, and you need to pay 5% tax on it.

$46.20 is 100% of the price of the shoes.
If you add 5% to the price, you need to pay 100% + 5% = 105% of the price.

105% of $46.20 =

= 105% * $46.20

= 1.05 * $46.20

= $48.51

Answer: $48.51

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.
If no money was deposited into or withdrawn from the account, how much money was in the account after ​3​ years?
Round your answer to the nearest cent.
Enter your answer in the box.

Answers

It would round out to about $329.19.

Answer: Its 329.18 just took a test.


There are 117 staff members in your school. 1/3 of them are going away for the Thanksgiving holiday. How many staff members are not traveling?
This was the main question but i didnt get how to solve it.. (wasnt sure if subtraction was thr right way)

Answers

117/1 * 1/3 = 117/3 = 39

117 - 39 = 78

78 staff members are not leaving for Thanksgiving.

Rewrite 21/300 as a decimal.

Answers

.07 would be the answer to your question

14.28 I believe if I am right please mark me as the brainiest

A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punch. How many cups of each ingredient do you need to make 108 cups of punch? How many servings can be made from 108 cups of punch? For every cup of seltzer you use, how much orange juice do you use?

Answers

108/18 = 6

We know how many servings there are in 108 cups.

4 × 6 = 24
8 × 6 = 48
12 × 6 = 72

You need 24 cups of pineapple juice, 48 cups of orange juice, and 72 cups of seltzer to make 108 cups of punch.

I hope that helped! :)

use cramers rule to solve each system 6x +2y= -78 7x - 4y= -15

Answers

[tex]\bf \begin{cases} 6x+2y=-78\\ 7x-4y=-15 \end{cases}\qquad \begin{bmatrix} 6&2\\7&-4 \end{bmatrix}\implies (6\cdot -4)-(7\cdot 2)\implies \stackrel{D}{\boxed{-38}}\\\\ -------------------------------\\\\ x=\cfrac{D_x}{D}\implies \cfrac{ \begin{bmatrix} -78&2\\-15&-4 \end{bmatrix}}{-38}\implies \cfrac{(-78\cdot -14)-(-15\cdot 2)}{-38} \\\\\\ \cfrac{312+30}{-38}\implies\cfrac{342}{-38} \implies -9\\\\ -------------------------------[/tex]

[tex]\bf y=\cfrac{D_y}{D}\implies \cfrac{ \begin{bmatrix} 6&-78\\7&-15 \end{bmatrix}}{-38}\implies \cfrac{(6\cdot -15)-(-7\cdot 78)}{-38} \\\\\\ \cfrac{-80+546}{-38}\implies \cfrac{456}{-38}\implies -12[/tex]

Write each equation in slope intercept form 5x+3y=30

Answers

Get rid of x first -5x then divide the rest
Slope intercept form is: y = mx + b.

In order to get x to the other side, you subtract it on both sides.
3y = -5x + 30

But in slope intercept form, y can’t have any number in front of it. To get rid of the number, divide both sides by 3

y = -5x/3 + 6

8 Times 43 In expanded form

Answers

Eight times forty-three in expanded form is this, The answer is 344.
100×34  10×4 1×4 = 344 which is your answer. Hoped this helped! If you need any help just ask me! I am here to help!

Rosey



The complement of 17% is

Answers

38% :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answer:

73%.

Step-by-step explanation:

Let x be the complement of 17%.

We are asked to find the complement of 17%.

We know that two angles are complementary when they add up-to 90 degrees. So we can set an equation as:

[tex]17\%+x=90\%[/tex]

[tex]17\%-17\%+x=90\%-17\%[/tex]

[tex]17\%-17\%+x=73\%[/tex]

Therefore, the complement of 17% is 73%.

What is the value of mc016-1.jpg?
-20
-4
4
20

the pic is the .jpg

Answers

(4-2)^3 -3*4 =

(4-2) = 2, 2^3 = 8

3*4 =12

 so you have 8-12 = -4

 Answer is -4

Explanation:

This question's it's about the order of operations. It stands for parenthesis, exponents, multiply, divide, add, and subtract. It can also go left too right. (PEMDAS)

First, do parenthesis.

[tex](4-2)=2[/tex]

[tex]2^3-3*4[/tex]

Then exponents.

[tex]2^3=2*2*2=8[/tex]

[tex]8-3*4[/tex]

Multiply left to right.

[tex]3*4=12[/tex]

Subtract left to right.

[tex]8-12[/tex]

[tex]12-8=4[/tex]

It change positive to negative sign.

Answer: → [tex]\boxed{=-4}[/tex]

*The answer must have a negative sign.*

Hope this helps!

Thank you!

-Charlie

Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.

Answers

[tex]\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\ \textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}[/tex]

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

[tex]\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}[/tex]

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

[tex]\bf \begin{array}{llllllll} 100x&=&09.0909\overline{09}\\ &&9+0.0909\overline{09}\\ &&9+x \end{array}\quad \implies 100x=9+x\implies 99x=9 \\\\\\ x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\ -------------------------------\\\\ \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000} \\\\\\ \cfrac{3659+\frac{1}{11}}{1000}[/tex]

and you can check that in your calculator.

What is the expression in simplest form ?

(3x - 2) - (4x + 1)
a. x-3
b. -x - 3
c. -x + 1
d. x + 1

Answers

Answer:

  b.  -x - 3

Step-by-step explanation:

(3x -2) -(4x +1) . . . given

3x -2 -4x -1 . . . . . . distribute the minus sign; eliminate parentheses

(3x -4x) + (-2 -1) . . . group like terms

-x -3 . . . . . . . . . . . . simplify

jay will make $240 doing yard work for 6 weeks. he is saving his money to buy camping equipment that cost $400. He has already saved $120. Is it reasonable to say that Jay will save enough money in 6 weeks? Explain

Answers

No. It take 6wKS to save 240 and he has 120 add 240=360. He short 40 dollars

Which is the better estimate of the weight of a football helmet

Answers

Hey there,
Probably 3 - 5 pounds.

Hope this helps :))

~Top

A hair salon charges fixed rate of $25.00 for a haircut and then an additional $15.00 for any other services. Write a function to model cost of services there and then determine how many services you had if you were charged for $115.00

Answers

Fixed Cost: $25 Additional Cost: $15 per service To demonstrate how much a customer would have to pay for a trip to the salon, one can use the equation Total Cost = Fixed Cost + (Additional Cost x Number of services), or Total Cost = 25 + (15 x Number of services). If I were charged for $115, I would use the equation 115 = 25+(15xServices), and solve this to find that the number of services received was six.

Answer:

f(x) = 15x + 25; f(6) = 115

Step-by-step explanation:

the flat rate of $25 will be the y-intercept and the slope will be $15. since u are charged $115, plug that in for f(x) and solve for x. so the right answer is

f(x) = 15x + 25; f(6) = 115

boa saved $179 a month. he saved $145 less than ada each month. how much would ada save in three and a half years?

Answers

B saves 179 a month, A saves 145 more which is equal to 324
three and a half years is 42 months 
42 months times 324
13608
First we need to see how much money Ada gets each month, since the question is in regards to her money, not Boa's. 

It says Boa's savings each month are "$145 less than Ada", so we need to add 179 to 145. 179+145 = 324. 

Okay, so now we know the amount of Ada's savings per month, we need to find out how much money she would have in 3 and a half years. 12 months is equal to one year. A half a year is 6 months. Three whole years is 36 months, and 6 months added to that is 42 months.

Since $324 represents only one month, and we want 42 months, we need to multiply 324 by 42. 324*42 = $13608. $13608 is what Ada saved within 3 years and a half.


What is 2,384 divided by 23 and what is 378 divided by 56 pls help me i will give the brainliest answer to someone who answers first

Answers

1st 103.652173913

2nd 6.75
he first one is 103.652173913 and the second one is 6.75
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