7. Suppose y varies directly with x. If y = -3 when x = 5, find y when x = -1.

Answers

Answer 1

Answer:

The value of y = 0.6 when x = -1.

Step-by-step explanation:

Given

y = -3x = 5

To determine

Find 'y' when x = -1

Two quantities can be termed as vary with each other directly if a change in one quantity established a proportional change in the other quantity.

As y directly with x, we express it as:

y ∝ x

y = kx

here 'k' is called the constant of variation

substituting y = -3 and x = 5 to determine the 'k'

y = kx

k = y/x = -3/5

As we have to find 'y' when x = -1

y  = kx

so substituting x = -1 and k = -3/5

y = (-3/5) (-1)

y  = 3/5

y = 0.6

Therefore, the value of y = 0.6 when x = -1.


Related Questions

x is a natural number with
GCF(x, 36) = 9 and LCM(x, 36)
36) =108
Find x.​

Answers

Answer:  x = 27

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

Work Shown:

x = some natural number

G = GCF(x,36)

L = LCM(x,36)

We can tie together the LCM and GCF like so

L = (x*36)/G

L = (x*36)/9

L = (36/9)*x

L = 4x

Whatever the value of x is, the LCM is 4 times larger.

Since we're told the LCM is 108, we can then say,

L = 108

4x = 108

x = 108/4

x = 27

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

Check:

GCF(x,36) = GCF(27,36) = 9, since 36 = 9*4 and 27 = 9*3, indicating that 9 is the largest shared factor

LCM(x,36) = LCM(27,36) = 108

LCM(x,36) = (x*36)/GCF = (x*36)/9 = (27*36)/9 = 972/9 = 108

This confirms we have the right answer.

What is the slope ?
Simplify your answer and write it as a proper fraction , improper fraction of integer .

Answers

Answer:

slope = 1/2

Step-by-step explanation:

Which of the following is a solution to the equation x^2-16=0?
F. 32
G. 16
H. 8
J. 4
K. -4

Answers

Answer: solutions are J and K, +4,-4

Step-by-step explanation:

x^2-16=0

we will add 16 from both side

x^2=16

x=sqrt16

x₁=4, x₂=-4

Some one who knows about this that can help me...​

Answers

Starting with the 0th term the first 4 terms, would be 0, 1, 2, 3

Replace x with each term number and solve:

The answers are: 2, 10, 50, 250

Which of the following is the equation of a line perpendicular to the line y=-3/2x+4 passing through the point (3,9)

Answers

Answer: y=2/3x+b

Work:

B
с
6x + 1
E
X + 11
D

Answers

Answer:

E

X + 11 i think that is the answer of this question

A number x increased by two, answer ASAP I will give brainlest​

Answers

Answer:

x + 2

hope it helps you out

f (x) = x 2 + 8x + 17

Answers

I’m not sure buddy but you can use a calculator for this thank me later

PLZ HELP ANSWER THIS QUESTION

Answers

Answer:

D

Step-by-step explanation:

the relationship between the countries of the Allied Powers?

Answers

Allied powers, also called Allies, those countries allied in opposition to the Central Powers (Germany, Austria-Hungary, and Turkey) in World War I or to the Axis powers (Germany, Italy, and Japan) in World War II. did you know? Romania switched sides and became one of the Allied Powers during WWII in 1944.

2) The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60? Show your work to receive full credit.

Answers

Answer:

20

Step-by-step explanation:

y=12

x=36

Ration x/y is 36/12, equals 3

To find the value of y when x=60, divide 60 by 3, this will give you the value of y

Lori purchases a pair of shoes for $29.95. The sales tax is 2%. What is the total cost of the shoes?

Answers

Answer:

Step-by-step explanation:

Percentages you always multiple.

Take 2% times that by 100 and get 2

Ok, take 29.95 divide that by 2 and get 14.98 for the total cost of the shoes. That is your answer $14.98

Seti graphed the point Three-halves and labeled that location P. Which number line shows this point?
A number line going from 0 to 2 in increments of 1. There are 2 equals spaces between each number. Point P is half-way between 1 and 2.
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point P is on the mark to the left of 1.
A number line going from 0 to 2 in increments of 1. There are 2 equals spaces between each number. Point P is half-way between 0 and 1.
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point P is on the mark to the right of 1.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I got it right plz mark me brainliest its ok it you dont tho :D

Answer 9 and 11 please only those.

Answers

Step-by-step explanation:

11. -19/5

9.-9/10

i hope this helps

Simplify.
(-6u? - 9u-4)-(-5u²+2u+3)+(2u? + 6u+4)​

Answers

Answer:

Simplified: -4u? + 5u^2 - 5u - 3

Step-by-step explanation:

In math class, there are 4 students to every 2 teachers. What is the ratio represented?

Answers

Answer:

4 to 2

Step-by-step explanation:

you said it

FREE 100 POINTSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Give me the points pls

Answer:

Thank you so muchhhhh

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!

These are my last points. Please answer this correctly take your time for this.. Janel bought 5.25 pounds of gucky worms for $7.35.
a. What is the unit rate (cost per pound)?

b. What should the cost of six pounds of gucky worms cost?

c. How many pounds can she buy with $21?

d. Write an equation relating cost (x) with pounds (y). Opposite x =pounds y = cost

e. Is this relationship proportional? Explain how you know.

Answers

Answer:

a. $1.40

b. $8.40

c. 15 lbs

that's all i know but i hope this helps!



A box weighs 90 grams.
Write down, in terms of b, the weight of b boxes.​

Answers

Answer:

Let B = the weight of box B

Let 2B = the weight of box A

Let 2B + 30 = the weight of box C

B + 2B + 2B + 30 = 640

5B = 610

B = 122 pounds, weight of box B

2B = 2(122) = 244 pounds, weight of box A

2B + 30 = 2(122) + 30 = 274 pounds, weight of box C

hope this helps

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Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 2 2/5 feet?

Answers

Answer:

$7.20

Step-by-step explanation:

1/3 x 2.4/x = 7.20

For [tex]2\frac{2\\}{5}[/tex] feet, lace would cost 7.2 dollars as per the law of proportionality.

What is the law of proportionality?

When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

Given, Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. Since,

1 feet lace = 3 dollars

[tex]2\frac{2}{5}[/tex] or 12/5 feet lace = 3 * 12/5 = 7.2

Therefore, According to the rule of proportionality, lace would cost 7.2 dollars for 12/5 feet.

Learn more about proportionality here:

https://brainly.com/question/14834359

#SPJ2

help! help!

a proportional relationship is shown in the table below: look at the picture!


what is the slope of the line that represents this relationship?

Answers

Answer:0.6

Step-by-step explanation:

We can grab 2 points in this table and plug this into the slope formula: (y2-y1)/(x1-x2). The 2 easiest points would be (0,0) and (2, 1.2). Doing this would get us (1.2-0)/(2-0). Simplifying this would get us 1.2/2, or .6.

I will award brainless to the person that actually explains how they got their answer other then “It’s right on edge”


Points D, E, and F are on circle C and EF ≅ DF.

Circle C is shown. Line segments D C and E C are radii. Point F is on the opposite side. Lines are drawn from points D and E to point F. Tangents D G and E G intersect at point G. Angle D G E is 76 degrees and angles G D C and G E C are 90 degrees. D F and E F are congruent.

What is the measure of ∠CDF?

14°
19°
26°
38°

Answers

Answer:

14°

Step-by-step explanation:

Angle DCE is congruent to Angle GDF

To find the measure of Angle CDF, you need to find the measure of Angle DCE first.

360° = 76° + 90° + Angle DCE + 90°

360° = 256° + Angle DCE

Angle DCE = 104°

Then you subtract 90° from 104° (Angle DCE) to get the measure of Angle CDF

104° - 90° = 14°

Angle CDF = 14°

Answer:

C. 26 degrees

Step-by-step explanation:

Just did the review on Edg (2021)!!

solve for x, -6x > 72

Answers

Answer:

x < -12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

-6x > 72

Step 2: Solve for x

Divide -6 on both sides:                    x < -12

Here we see that any value x smaller than -12 would work as a solution to the inequality.

prove that A(BC)=(AB)C as the associative law of matrix multiplication​

Answers

Answer:

[tex]A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

[tex]\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

Therefore, we conclude that

[tex]A(BC)=(AB)C[/tex]

Step-by-step explanation:

Given that the associative law of matrix multiplication​

[tex]A(BC)=(AB)C[/tex]

Let

[tex]A=\begin{pmatrix}1&2\\ 3&4\end{pmatrix}[/tex]

[tex]B\:=\:\begin{pmatrix}1&0\\ 1&2\end{pmatrix}[/tex]

[tex]C=\begin{pmatrix}1&3\\ \:1&1\end{pmatrix}[/tex]

proving

A(BC)=(AB)C

Determining the L.H.S

A(BC)

[tex]A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\:\left[\:\begin{pmatrix}1&0\\ \:\:\:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:\:\:\:1&1\end{pmatrix}\right]\:[/tex]

First determining BC

as multiplying the rows of the first matrix by the column of the second matrix

[tex]BC=\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:1&1\end{pmatrix}=\begin{pmatrix}1\cdot \:\:1+0\cdot \:\:1&1\cdot \:\:3+0\cdot \:\:1\\ \:1\cdot \:\:1+2\cdot \:\:1&1\cdot \:\:3+2\cdot \:\:1\end{pmatrix}[/tex]

       [tex]=\begin{pmatrix}1&3\\ 3&5\end{pmatrix}[/tex]      

so the matrix equation becomes

[tex]A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\begin{pmatrix}1&3\\ \:3&5\end{pmatrix}[/tex]

            [tex]=\begin{pmatrix}1\cdot \:1+2\cdot \:3&1\cdot \:3+2\cdot \:5\\ 3\cdot \:1+4\cdot \:3&3\cdot \:3+4\cdot \:5\end{pmatrix}[/tex]

            [tex]=\begin{pmatrix}7&13\\ 15&29\end{pmatrix}[/tex]

[tex]A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

Determining the R.H.S

(AB)C

[tex]\left(AB\right)C=\left[\begin{pmatrix}1&2\\ \:\:\:\:3&4\end{pmatrix}\:\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\right]\begin{pmatrix}1&3\\ \:\:\:\:\:1&1\end{pmatrix}\:[/tex]

First determining AB

as multiplying the rows of the first matrix by the column of the second matrix

[tex]AB=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\begin{pmatrix}1&0\\ \:\:1&2\end{pmatrix}=\begin{pmatrix}1\cdot \:\:1+2\cdot \:\:1&1\cdot \:\:0+2\cdot \:\:2\\ \:3\cdot \:\:1+4\cdot \:\:1&3\cdot \:\:0+4\cdot \:\:2\end{pmatrix}[/tex]

                                       [tex]=\begin{pmatrix}3&4\\ 7&8\end{pmatrix}[/tex]

so the matrix equation becomes

[tex]AB\left(C\right)=\begin{pmatrix}3&4\\ \:\:7&8\end{pmatrix}\begin{pmatrix}1&3\\ \:\:1&1\end{pmatrix}[/tex]

multiplying the rows of the first matrix by the column of the second matrix

            [tex]=\begin{pmatrix}3\cdot \:1+4\cdot \:1&3\cdot \:3+4\cdot \:1\\ 7\cdot \:1+8\cdot \:1&7\cdot \:3+8\cdot \:1\end{pmatrix}[/tex]

            [tex]=\begin{pmatrix}7&13\\ 15&29\end{pmatrix}[/tex]

Thus,

[tex]\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

as

[tex]A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

[tex]\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

Therefore, we conclude that

[tex]A(BC)=(AB)C[/tex]

I need help urgently


Answers

Answer:

Fiona earns $2/hour more than Philip.

Step-by-step explanation:

y = 12x shows a slope of 12. That slope is the hourly salary.

Philip earns $12/hour.

Fiona:

$42/(3 hours) = $14/hour

Fiona earns $14/hour

14 - 12 = 2

Fiona earns $2/hour more than Philip.

(x-3)(x-8)=0 apply the zero product property

Answers

Answer:

x=3

x=8

Step-by-step explanation:

The "Zero Product Property" says:

If  (x−3)(x−8) = 0  then   (x−3) = 0   or   (x−8) = 0

Now we just solve each of those:

For (x−3) = 0 we get x = 3

For (x−8) = 0 we get x = 8

And the solutions are:

x = 3, or x = 8

A, B, C, or D please and ty

Answers

Answer: A and D

Step-by-step explanation:

If you are overdrafted -275.20 and then charged an $18.00 over draft fee your account to start is -$293.20. Then you deposit 325.00 so 325.00 - 293.20 = 31.80 left in the account.

A line passes through the point (5, 1) and is perpendicular to the x-axis. What is the slope of this line?

Answers

no because if that happened they wouldn’t be able to do it again so yeah

The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday? A. -40.85°C B. -24.35°C C. 24.35°C D. 42.25°

Answers

Answer:

C

Step-by-step explanation:

The box plots shows the length of the songs on 2 diggital music players in minutes which statement best supported by the information in the box plots

Answers

Answer:

You have to go on a cite called Math and Way buth without the and and no space between math and way

Step-by-step explanation:

Answer:

The interquartile range of the data for Music Player X is equal to the interquartile range of the data for Music Player Y.

Step-by-step explanation:

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