y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 24 when x = - 15, then

24 = - 15k ( divide both sides by - 15 )

k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus

y = - 1.6x ← equation of variation

When y = 16, then

16 = - 1.6x ( divide both sides by - 1.6 )

x = - 10 → c


Related Questions

State the domain and range of the given relation

(-4,3), (-1,-4), (0, -4), (2, 3), (3, -3) (4, 7)

Answers

Answer:

work is shown and pictured

Which of the following is equivalent to 125%


7\4

0.125

5/4

1.025

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]

[tex]\hrulefill[/tex]

Let's start by finding [tex]125\%[/tex] in decimal form. To do this, just divide the percentage by [tex]100[/tex]:

[tex]125\div100=1.25[/tex]

This doesn't match any of our choices, so we'll try fraction form.

A percentage in fraction form is just the percentage over a denominator of [tex]100[/tex].

[tex]\frac{125}{100}[/tex]

Now we divide both the numerator and denominator by their greatest common factor, which is [tex]25[/tex]:

[tex]\frac{125\div25}{100\div25}=\large\boxed{\frac{5}{4}}[/tex]

can u help me if u don't mind tbh tho

Answers

Answer:

Step-by-step explanation:

1. 13x + 2 = 4x + 38

   9x + 2 = 38

    9x = 36

     x = 4

2. 6(2/3 + q/6 = 5/6q + 1/3)

      4 + q = 5q + 2

    4 - 4q = 2

     -4q = -2

       q = 2/4= 1/2

3. 6n + 24 = -18

    6n = -42

     n = -7

4. -11 + 3b + 15 = 7

   3b + 4 = 7

    3b = 3

    b = 1

5. 5 + 2n + 2 = 2n

   2n + 7 = 2n

   0 ≠ 7

6. 7 - 3r = r - 8  - 4r

  7 -3r = -3r - 8

  0 ≠ -15

7. 14v + 6 = 10 + 14v - 4

  14v + 6 = 14v + 6

  0 = 0

  infinitely many solutions

8. 5h - 7 = 5h - 10 + 3

   5h - 7 = 5h - 7

    0 = 0

   infinitely many solutions

9. a. 10x + 10 (triangle)

    b. 4x + 2x + 26 = 6x + 26 (rectangle)

      10x + 10 = 6x + 26

     4x + 10 = 26

     4x = 16

      x = 4

answer is A

Step-by-step explanation:

The largest artery is the aorta, the main high-pressure pipeline connected to the heart's left ventricle. The aorta branches into a network of smaller arteries that extend throughout the body. The arteries' smaller branches are called arterioles and capillaries.

help me plz i will mark

Answers

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation:

5-3(5x+2)+15x
Show and explain work

Answers

Answer:

-1

Step-by-step explanation:

5-3(5x+2)+15x

Distribute

5 - 3*5x - 3*2 +15x

5 - 15x -6+15x

Combine like terms

5-6 -15x+15x

-1

Let's simplify step-by-step.
5−3(5x+2)+15x
Distribute:
=5+(−3)(5x)+(−3)(2)+15x
=5+−15x+−6+15x
Combine Like Terms:
=5+−15x+−6+15x
=(−15x+15x)+(5+−6)
=−1


On a bookshelf there are 5 paperback books and 3 hardcover books. Is the ratio of books to hardcover books 5 : 3? Explain.

Answers

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))

Answers

Answer:

[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]

Step-by-step explanation:

Given

[tex]-3(-2 - 3/10)[/tex]

Required

Simplify

[tex]-3(-2 - 3/10)[/tex]

Apply Distributive Property;

This simply means that; we expand the bracket;

So, we have;

[tex]= (-3)(-2) + (-3)(3/10)[/tex]

From the list of given options, option A answers the question

Answer:

A

Step-by-step explanation:

I took the quiz

A teacher is researching the effect of what type of font she uses on a test and the scores on the test to see if there is a
relationship. She randomly gives half her classes tests with Times New Roman font and half her classes tests with Comic
Sans font and then tracks their test scores for a semester. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience study

Answers

Answer:

Experiment

Step-by-step explanation:

By going out of her way to make different tests and giving it to different portions of the class, she's creating and running an experiment.

Please Help Me quick ​

Answers

Answer:

I think it is 4.5/6.5

Step-by-step explanation:

How many solutions does the following equation have?
14x + 12] = 0

Answers

Answer:

[tex]x=-\frac{6}{7}[/tex]

It has one solution

Step-by-step explanation:

[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]

Solve the formula for m.
e = MC^2
M=

Answers

Answer:

[tex] M = \frac{e}{C^2 } [/tex]

Step-by-step explanation:

[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]

chole is baking cookies to sell in boxes of 12 cookies.if she bakes 122 cookies,calculate the number she can fill and the number of cookies that will be left over.explain your answer

Answers

Answer:

she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.

Step-by-step explanation:

first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.

then minus 120 from 122 which gives 2 remaining cookies

Help me please thank you

Answers

it should be 10 1/2 sorry if i’m wrong
the quarter of trail mix is 5 3/4

Find all the zeros of the quadratic function.
y=x²-11x+18

Answers

Y= (X-9)(x+2)
X=9
X=-2

The math club at Emily's middle school has 40 members. Only 85% of the members attend Saturday meetings. Use the number line below to determine the number of members who attend Saturday's mee

Answers

Answer: 34 members.

Step-by-step explanation:

We have 40 members.

Only 85% of them attend the Saturday meetings.

If we have a set of N objects, and the x% of them can be calculated as:

(x%/100%)*N

Now, if we want to know the exact amount that attends the Saturday meetings, then we must compute:

(85%/100%)*40 = 0.85*40 = 34.

Answer:

Please see attached number line

The 85% corresponds with having 34 members in attending Saturday meetings

Step-by-step explanation:

The number of members in the math club at Emily's middle school = 40

The percentage of members that attend Saturday meetings = 85%

Therefore, the number of members that attend Saturday meetings is given as follows;

85% of 40 = 0.85 × 40 = 34 members

Where we have a number line graduated in percentages, we get;

Percentage of members, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

Number of members, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Therefore, the 85% corresponds with having 34 members in attending Saturday meetings

Solve for M
D=m/v
Show your work

Answers

Answer: m=vD

Step-by-step explanation:

To get m alone, you want to use algebraic properties.

[tex]D=\frac{m}{v}[/tex]                  [multiply both sides by v]

[tex]m=vD[/tex]    

Now that we have mass alone, we know that m=vD.

^ THEY ARE CORRECT ! you must multiply both sides

Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15

Answers

Answer:

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

Maggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?
Her answer should be One-half mile because there are 5,280 feet in a mile.
Her answer should be One-half mile because there are 10,560 feet in a mile.
Her answer should be 2 miles because there are 5,280 feet in a mile.
Her answer should be 2 miles because there are 10,560 feet in a mile.

Answers

Answer: C

Step-by-step explanation:

The answer is “ Her answer should be 2 miles because there are 5,280 feet in a mile“

(Aka: C/3.)

If you don’t belive me that’s okay, but it’s right, I just finished the pre-unit test . Hope you do good and keep those grades up!!

Comment Done if you read this

When a number is divided by -4 the quotient is -224. Find the number.

Answers

Answer:

896

Step-by-step explanation:

Simply multiply -224 * -4.

on a coordinate grid, line segment ab has midpoint p at (4,-3). if endpoint b has coordinates of (24,16), what is the x-coordinate of point a?

Answers

Answer:  

(-16,-22)

Step-by-step explanation:

B (24,16)

Mid point (4,-3)

24 is -20 away from 4

16 is -19 away from -3

4-20=  -16

-3-19= -22

Light travels about 168,000 mi/s. The function d(t) = 168,000t gives the distance d(t) in miles that light travels in t seconds. How far does light travel in 44s?

Answers

Answer:

The nuclear utility environment is one of strict cost control under prescriptive regulations and increasing public scrutiny. This paper presents the results of A Total Quality approach, by a dedicated team, that addresses the need for increased on-site spent fuel storage in this environment. Innovations to spent fuel pool reracking, driven by utilities' specific technical needs and shrinking budgets, have resulted in both product improvements and lower prices. A Total Quality approach to the entire turnkey project is taken, thereby creating synergism and process efficiency in each of the major phases of the project: design and analysis, licensing, fabrication, installation and disposal. Specific technical advances and the proven quality of the team members minimizes risk to the utility and its shareholders and provides a complete, cost effective service. Proper evaluation of spent fuel storage methods and vendors requires a full understanding of currently available customer driven initiatives that reduce cost while improving quality. In all phases of a spent fuel reracking project, from new rack design and analysis through old rack disposal, the integration of diverse experts, at all levels and throughout all phases of a reracking project, better serves utility needs. This Total Quality environment in conjunction with many technical improvements results in a higher quality product at a lower cost

The prediction of minor actinides amounts accumulated in the spent fuel in China

International Nuclear Information System (INIS)

Zhou Peide

2000-01-01

The amounts of the Minor Actinides accumulated in the spent fuel are predicted according to the Nuclear Power Plant development plan envisaged in China. The Minor Actinides generated in the spent fuel unloaded from a typical PWR per year are calculated. The decay characteristics of the Minor Actinides during storage and cooling period are also calculated. At last, the Minor Actinides amounts accumulated in all spent fuel which were unloaded before sometime are given

5.47 rounded to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

5.47 to the nearest tenth. Go to the next digit after tenths. It is greater than 5. So, the tenth digit is one greater. 5.5 is the answer.

The required, 5.47 rounded to the nearest tenth is 5.5.

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Rounding to the nearest tenth means finding the number that is closest to the original number but with one decimal place. In this case, the number 5.47 rounded to the nearest tenth would be 5.5.

The rounding rule is to look at the digit in the hundredth place (the digit to the right of the tenth place). If the digit is 5 or greater, we round up to the next whole number. If the digit is less than 5, we leave the number unchanged.

In this case, the digit in the hundredth place is 7, which is greater than 5. So, we round up the digit in the tenth place, making the number 5.5.

So, 5.47 rounded to the nearest tenth is 5.5.

Learn more about round the decimal here;

brainly.com/question/867784

#SPJ1

1 less than the product of 2 and a number

Answers

2x-1 because the product of 2 and a number would be 2x and less than one; less than is subtract so in that case it would be 2x-1.

Product of 2 and a number less than 1 is 2a - 1

Given:

Product of 2 and a number less than 1

Find:

Expression

Computation:

Assume;

Another number is "a"

So,

According to question:

2(a) - 1

Product of 2 and a number less than 1 = 2a - 1

Learn more about liner equation;

https://brainly.com/question/3726207?referrer=searchResults

someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20 ​

Answers

Answer:

The ratio is 7:13

Step-by-step explanation:

3x(x+30°) i really need help asap

Answers

A13x2+390x here is the answer

Answer:

x=15

Step-by-step explanation:

Simplifying

x + 30 = 3x

Reorder the terms:

30 + x = 3x

Solving

30 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

30 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

30 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

30 + -2x = 0

Add '-30' to each side of the equation.

30 + -30 + -2x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + -2x = 0 + -30

-2x = 0 + -30

Combine like terms: 0 + -30 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

Given y2 + 5y - 6 = (y + p)(y +q) find the
values of p and q.

Answers

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

Each year, the science club puts on a science show for the students in the elementary school. Luis is planning demonstrations to show properties of metals. For one property, he decides to use a ball of pizza dough and a rolling pin.

Which property of metals is Luis most likely going to demonstrate using these materials

luster
opacity
conductivity
malleability

Answers

Answer:

D. Malleability because he is most likely going to show how you can easily roll pizza dough

Step-by-step explanation:

Answer:

malleability or D

Step-by-step explanation:

Multiply
2y-2u9•3y9•u6
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

this is you answer solved.

Kelly can draw 15 shapes in 2 minutes how long does it take kelly to draw 120 shapes in the same rate

Answers

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

(35 points) Hey please help quickly. :(
Question 4
Point P is presently located at the origin. Move P, and observe how the rotated images change. Be sure that neither the images nor the preimage
overlap. Record the distances of the vertices of the preimage AABC from P. Do the same for the other images. Round all of your answers to the
hundredths place.
Thanks so much

Answers

Answer:here ya go boys

Step-by-step explanation:

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

Thanks to plato FOOOOOLLLLL

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