I need help understanding this, please explain it with the answer.

Suppose y varies inversely with x, and y = −3 when x = 14.

What is the value of y when x = −7?
This is the last question on my HW, and I'm tired, so help would be greatly appreciated :)

Answers

Answer 1

Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

When y varies inversely with x, the rule is given by:

[tex]y = \frac{k}{x}[/tex]

y = −3 when x = 14, hence we use this to find k.

[tex]-3 = \frac{k}{14} \rightarrow k = -42[/tex]

Then:

[tex]y = -\frac{42}{x}[/tex]

Then when x = -7, y = -42/-7 = 6.

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Related Questions

Below is the work a student completed with an error. Identify the step where the error first occured an
Step 1: (7 - 10) – 2(6y - 5) + 17
Step 2: (3) - 12y – 5 + 17
Step 3:3 - 12y + 12
Step 4: - 12y + 15
А
Step 2
B
Step 3
C
Step 4
D
Answer should be 12y - 9
E
Answer should be 12y + 9
C2022 Illuminate Education, Inc.
TM

Answers

Answer:

Step 2

Step-by-step explanation:

Solving

(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

PLS ANSWER FOR MEEEE FAST TYYYYSMM

The following sphere has. A diameter of 18 cm.

Answers

Answer:

I think your answer is A, correct me if I'm wrong

!!100!! POINTS PLEASE HELP

Answers

Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

what is the measure of the angle in degrees

Answers

Answer:

35°

Step-by-step explanation:

7π=210°

so I assume you just divide 210° by 6 and that comes out to 35°

I HOPE this helps!

8. (06.04 MC)
Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of r. (1 point)
O 80 cm²
96 cm²
128 cm²
192 cm²

Answers

The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

Calculating Total surface area of a Cylinder

From the question, we are to determine the total surface area of the cylinder

The total surface area of a cylinder can be calculated by using the formula,

T.S.A = 2πr² + 2πrh = 2πr(r +h)

Where r is the radius

and h  is the height

From the given information,

h = 8 cm

r = 4 cm

Putting the parameters into the formula, we get

T.S.A = 2π×4(4 +8)

T.S.A = 8π(12)

T.S.A = 96π cm²

Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

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There were 16 teams that competed in men's ice hockey at the Salt Lake City Olympics of 2002.
Find the number of permutations for the gold, silver, and bronze metals at the awards ceremony.

Answers

Answer:

3360.

Step-by-step explanation:

That would be the number of permutations of 3 from 16.

= 16P3

= 16!/(16-3)!

= 16*15*14

= 3360

Answer:

3 360 permutations

Step-by-step explanation:

the number of permutations :

16P3 = 16 × 15 × 14 = 3 360

3. In which quadrant do lines land m Intersect?
m
A. Quadrant !
B. Quadrant II
C. Quadrant III
D. Quadrant IV

Answers

Answer:

Quadrant 3 so the answer should be c

What is 3,740,231,580 rounded to the nearest million

Answers

Step-by-step explanation:

3,740,231,580

we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.

3,740,231,580

3,740,231,580

3,740,231,590

3,740,231,600

3,740,232,000

3,740,230,000

3,740,200,000

3,740,000,000

And I think that's it

What is the greatest common factor of

21xy^3 6x^4y^2

A. 42x^4 y^3

B. 42x^5 y^5

C. 3x^4 y^3

D. 3xy^2

Answers

The answer is D. 3xy^2

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
hundredth, if sin 0 = 0.27 and 0 < 0 < 7

Answers

Answer:

3.7

Step-by-step explanation:

Given

sin²θ + cos²θ = 1sinθ = 0.27

Solving for cosθ

cos²θ = 1 - sin²θcos²θ = 1 - (0.27)²cos²θ = 0.0729

Finding tanθ

tanθ = sinθ / cosθtanθ = 0.27 / 0.0729tanθ = 3.7

Verifying it lies in the range

θ = tan⁻¹ (3.7)θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90°]It lies in the range [Verified]

A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.

Answers

Answer:

2

5

Step-by-step explanation:

fraction of girls in the class is 6

5

so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4

10(total number of students) is

2

5 when simplified

Rewrite each fraction with a denominator of 24. 2/3 and 5/8

Answers

Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.

Simplify the following expression. (3m-4)²+8(3m-2)

A. 8m/4

B. 9m/4

C. 3m+24/4

D. 3m+28/4

Answers

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

0.596 as a fraction and 0.596 as a percentage.

Answers

596/1000 and 59.6%

Step-by-step explanation:

because when we make 596/1000 is 0.596

Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy.
jolly rangers and twix. For every four twix bars, she has two pieces of jolly rangers. How many
pieces of each candy are in the candy jar?

Answers

The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.

What are the linear equations that represent this question?

j + t = 33 equation 1

4t = 2j

j = 2t equation 2

Where:

j = number of jolly rangers

t = j = number of twix

How many twix candies does Julianna have?

Substitute for j in equation 1 using equation 2

2t + t = 33

3t = 33

t = 11

How many jolly candies does Julianna have?

Subsitute for t in equation 2

j = 11 x 2 = 33

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Can someone explain the right answer? The question and answer is below.

Answers

Answer:

x -3y +4Pythagorean theorem

Step-by-step explanation:

You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.

__

horizontal distance

The x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.

If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)

The horizontal distance from (3, -4) to (x, y) is (x -3).

__

vertical distance

In like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.

For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.

The vertical distance from (3, -4) to (x, y) is (y +4).

__

total distance

As the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.

The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)

In particular, the equation created is ...

  (x -3)² +(y +4)² = 7²

_____

Additional comment

For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...

  a² +b² = c²

The sum of the squares of the sides is equal to the square of the hypotenuse.

Which equation matches the graph?

Answers

y=-2x

Step-by-step explanation:

it can't be y=2x and y=-½ because it passes by the opposite side of the given graph

10% of 2100 is 210
Work out 43% of 2100

Answers

Answer:

43÷100*2100=903

Step-by-step explanation:

43 devide by 100 because it is a percentage, we always devide percentages by 100. It gives an answer of 0,43.

0,43 multiply by 2100 because we need a cost.

help pls
14 numbers are written in a row so that the sum of any three consecutive numbers is
19, and the sum of all the numbers is 77. Find the 9th number.

Answers

The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

How to check that the series meets the requirements?

To verify that the series meets the requirements, we must establish what the requirements are:

Every 3 consecutive numbers must add up to 19.In total there must be 14 numbers.The total sum of all the numbers must be 77.

To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.

5 + 6 + 8 = 199 + 4 + 6 = 197 + 3 + 9 = 192 + 8 + 9 = 19

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77

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What is the volume?

Answers

Answer:

volume = l×b×h = 1.6 × 1.6 × 1.6 = 4.096cm³

Help me please help me

Answers

Answer:

j=-56

Step-by-step explanation:

Hi!

j-38 = -95

Because -95 is negative, j has to be less than one. If a negative is subtracted off of a negative, the number becomes smaller -95+39= j.

-95+39=-56

Answer:

j = -56

Step-by-step explanation:

j - 39 = -95

Add 39 to both sides:

j - 39 = -95

 + 39  + 39

j = -56

Final answer: j = -56

Hope this helps!

What type of slope is demonstrated by the line below?
(-1,3)
A. Positive slope
B. Negative slope
C. Undefined slope
D. Zero slope
(0,-2)

Answers

negative slope got it right on edge 2022

8. Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).
a. What is a possible coordinate of the third vertex if the triangle has
a perimeter of 11 units? Explain.
b. Is there another point that could be the third vertex? Explain.
par poib
signe

Answers

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

What is the solution of rootindex 3 startroot x 8 endroot = negative 4?

Answers

The solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

How to determine the solution?

The equation is given as:

[tex]\sqrt[3]{x + 8} = -4[/tex]

Take the cube of both sides

x + 8 = -64

Subtract 8 from both sides

x = 72

Hence, the solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

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We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?

Answers

since there’s a 10 multiple both sides by 10 and it gives you 20/100 which is 20%

Answer:

20%

Step-by-step explanation:

2:10 = 2/10 = 20/100 = 20%

please help me with this

Answers

A B and F seem like questions that make sense :)

Answer:

Abc

Step-by-step explanation:

they make the most reasonable answers

I need help PLEASE HELPP

Answers

Answer:

1 and 5 are corresponding angle

8 and 4 are corresponding angle

4 and 6 are alternate interior angle

2 and 8 are alternate exterior angle

7 and 3 are corresponding angle

2 and 6 are corresponding angle

3 and 5 are alternate interior angle

1 and 7 are alternate exterior angle

When Lillian goes bowling, her scores are normally distributed with a mean of 130
and a standard deviation of 11. Using the empirical rule, what percentage of the
games that Lillian bowls does she score between 119 and 141?

Answers

Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.

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A- 52/3
B- 52/7
C- 17
D- 3/4​

Answers

The Answer is: A. 52/3

Work out the surface area of this cylinder

Answers

Answer:

in terms of pi: 24pi cm squared

substituting pi for 3.14: 75.36 cm squared

Step-by-step explanation:

8pi + 16pi = 24pi

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