Which linear equation can be derived from this proportion?

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

A. 2x - 3 = 5x - 9
B. 2x - 9 = 5x - 3
C. 2x - 18 = 5x - 15
D. 2x - 6 = 5x - 45

Answers

Answer 1

9514 1404 393

Answer:

  D.  2x - 6 = 5x - 45

Step-by-step explanation:

To make the linear equation, we can multiply the given equation by 5(x-3).

  [tex]\dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}[/tex]

Answer 2

Answer:

The correct answer is D. 2x-6=5x-45

Step-by-step explanation:

I got it right on the Plato test.


Related Questions

PLEASE HELP!
32 = w – 4
1) What is the coefficient?
2) What is the constant?
3) What is the result?
4) What is the variable?

Answers

Answer:

1) 1

2.) -4

3.) 32

4.) w

Step-by-step explanation:

Coefficient is the number that is being multiplied by x. W is the same as 1w, so 1 is the coefficient

Constant is the number without any variable that is getting added to the variable (I think that's the definition), and that's -4, because when you subtract a number it's the same as adding it (w+(-4)).

Result is what you're getting, so it is 32, because w-4 equals 32, 32 is the result.

Variable is the unknown value represented by some sort of symbol, which is w, because we don't know w.

W=36

Walter chrysler sells car engines. He receives a 11% commission on the first $50,000 in sales and 17% on anything over $50000. He had a good month and sold $225,000 worth of engines.(btw walter chrysler was a machinist who founded chrysler) How big was his check for the month?

A. 35250
B. 41522
C. 64000
D. 220000​

Answers

I’m pretty sure it is either B or A but I might be wrong
I think it’s A? Sorry I’m not exactly positive

Which expression is equivalent to -4 - 9?
A. 4 + 9
B. 4 - 9
C. -4 + (-9)
D. -4 + 9

Answers

answer: C. -4 + (-9)

Answer:

C

Step-by-step explanation:

-4-9= -13

-4 + (-9) = -13

find the value of x
:D

Answers

Answer:

25 now give me brainliest plz

Step-by-step explanation:

Find an equation of the line containing the given pair of points.
​(−5​,−5​) and ​(4​,4​)

Answers

Answer:

y = x - 9

Step-by-step explanation:

[tex]Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{4-(-5)}{4-(-5)}=\frac{9}{9}=1[/tex]

[tex]y-intercept:y-y_{1}=m(x-x_{1} ) \\y-(-5)=1(x-4)\\y+5=x-4\\[/tex]

Subtract 5 from both sides;

y = x - 9

Sasquatch says that the slope of this diagram is 1/2

A. Why is Sasquatch wrong?

B.What is the slope of this line?

Answers

He is wrong because it’s rise over run not run over rise. The slope is 2/1 which is 2

Answer:

It's Bigfoot, o o ah ah!!!!!!!!!!!!!!!!!

Step-by-step explanation:

o o ah ah!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Solve the following inequality using both the graphical and algebraic approach:
5-x<2(x - 3) + 5
A) x<2 Graph A
B) x>2 Graph A
C) x<2 Graph B
D) x>2 Graph B

Answers

Answer:

a

Step-by-step explanation:

a

The correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, an inequality 5-x<2(x - 3) + 5

On solving, we get,

5-x < 2x-6+5

5-x < 2x-1

5+1 < 3x

x < 2

Let y₁ = 5-x, and y₂ = 2(x - 3) + 5

Plotting the graph, we get the graph A

Hence, the correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A

For more references on inequality, click;

https://brainly.com/question/28823603

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Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different days. Peter’s Deliveries What is the equation of the line, first written in point-slope form, and then written in slope-intercept form? Show how you determined the equation. Based on the linear model, predict how long it initially took Peter to deliver his packages (y-intercept). Approximately how much did his delivery time decrease per day (slope)? Complete sentences.I need this done before Monday, please!

Answers

Answer/Step-by-step explanation:

✍️The equation of the line in point-slope form:

The equation is given as [tex] y - b = m(x - a) [/tex], where,

(a, b) = a point on the line.

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let's find the slope (m) of the line, housing (3, 21) and (6, 12):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 21}{6 - 3} = \frac{-9}{3} = -3 [/tex]

Substitute a = 3 and b = 21, m = -3 into [tex] y - b = m(x - a) [/tex].

Thus, the point-slope equation would be:

✅[tex] y - 21 = -3(x - 3) [/tex]

✍️The equation of the line in slope-intercept form:

Rewrite [tex] y - 21 = -3(x - 3) [/tex], so that y is made the subject of the formula.

[tex] y - 21 = -3x + 9 [/tex]

Add 21 to both sides

[tex] y = -3x + 9 + 21 [/tex]

[tex] y = -3x + 30 [/tex]

✅The slope-intercept equation of the line is [tex] y = -3x + 30 [/tex]

Where,

-3 = how much did his delivery time decrease per day (slope)

30 = how long it initially took Peter to deliver his packages (y-intercept)

What are the factors of the mathematical expression 24p-27p²​

Answers

Answer:

1expn=3p

2expn=8-9p

3p(8-9p)

The factors are (3p)(8-9p)

HELP FAST!!!

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x-6y=6

Answers

Answer:

Slope intercept form:

8x-6y=6

You should bring the 8x to the other side of the equal sign.

-6y = 6-8x

Now you need to divide the six to every term to leave the y by itself.

y = 4/3x-1

y = 4/3x-1   IS THE SLOPE INTERCEPT FORM.

please help!!!, write the equation from each line

Answers

Answer:

1)-3,-5

2)2,-4

3)-3,-3

4)2,2

5)1,-2

6)3,1

7)8,-3

8)-3,5

If you move from 0 to 15 on a number line you are representing all of the following except

Answers

Answer:

The opposite of 15

I hope this helps!

Which shows the graph?

Answers

Answer:

A.

Step-by-step explanation:

Hope this helps

A dumpling machine automatically inserts mixed vegetables and meat filled wontons into a plastic package. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight.

Weight % of Total
Underweight 2.5
Satisfactory 90.0
Overweight 7.5

Required:
What is the probability of selecting two packages that are satisfactory?

a. 0.900
b. 0.729
c. 0.810
d. 0.075

Answers

Answer:

c. 0.810

Step-by-step explanation:

Given, total % of satisfactory packages = 90% = 0.90

Now, since selecting a satisfactory package is independent of any other trials (i.e. all the selection trials are independent to each other)

Hence, Probability of selecting two packages that re satisfactory

P(Selecting 2 satisfactory packages) = (0.90)^2

P(Selecting 2 satisfactory packages) = 0.90*0.90

P(Selecting 2 satisfactory packages) = 0.810

Note: We are selecting product since the chance of selecting in each trials are independent.

Find the area of a triangle with base of 4 and height of 3x-5

Answers

Answer:

Area of a triangle is 1/2B x H

In this case, BH = 0.5(3x-5)·4x

A = 4/2 · (3x²-5x)

1+3 pls help me nowwwww

Answers

Your answer would be 4

Answer:

4

Step-by-step explanation:

3=1+1+1,

1+1+1+1=4 :p

Can someone please answer this, I need help?

Answers

9^2 + 12^2 =x^2
81 + 144 = x^2
225 = x^2
then square root and would be
x= 15
so c = 15 :)

Use the vertex formula to find the vertex of the quadratic function f(x) = -x2 + 4x - 8.

Answers

The vertex of f(x)=-x2+4x-8 is (2, -4)

A rectangle has a width of 10cm. The rectangle length is 4 times its width

Answers

Answer:

P = 100 centimeters (assuming you are asking for the perimeter)

Step-by-step explanation:

P = 2 (L + W) OR P =  2L + 2W where P equals the perimeter, L equals the length, and W equals the width.

Since the rectangle's length is 4 times its width and given we know the width is 10 centimeters, then the length is 40 centimeters. Now we can substitute these values in our formula, okay?  

P = 2 (L + W)  

P = 2 (40 + 10)  

P = 80 + 20  

P = 100 centimeters

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

-0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need help with this ^

Answers

Answer:

23

Step-by-step explanation:

17 pluse 2 is 19

180 minus 19 is 161

add all the vs you get 7

so 161 divided by 7 is 23

Answer:

Select the correct answer.

Which path describes the movement of oxygenated blood leaving the heart? Use the standard image of the heart to guide you.

A.

left atrium → left ventricle → aorta

B.

left ventricle → left atrium → pulmonary artery

C.

right atrium → right ventricle → pulmonary artery

D.

right ventricle → right atrium → aorta

Step-by-step explanation:

Michael walks 30 meters in 20 seconds. How many meters does he walk in per second?

Answers

Answer:

1.5 meters

Step-by-step explanation:

30/20 = 1.5

Answer:

1.5 meters per second.

Step-by-step explanation:

30/20=1.5

Hope I helped!

A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.

Answers

Answer:

the answer would be 2,969 also i think the cost of tickets is pretty useless

Step-by-step explanation:

Answer:2,969

Step-by-step explanation:

the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% loaded .​

Answers

Answer:

You will have 40 mins before 100%

Step-by-step explanation:

The number of minutes taken to completely load is 60 minutes.

Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Remaining virus to load =100-28

= 72

The rate of 12% every 10 minutes

Now, 72/12

= 6

So, 6×10 =60 minutes

Therefore, the number of minutes taken to completely load is 60 minutes.

To learn more about the percentage visit:

brainly.com/question/24159063.

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help plsss hurryyyyyy

Answers

the answer is y=-x+6

how do you tell if a graph is a proportional relashionship

Answers

Answer:

see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship.

Step-by-step explanation:

To complete her holiday wrapping, bella needs identical strips of ribblon measuring 3.5 feet each. She has 85 feet of ribbon in total. About how many pieces of ribbon can she cut from this long strip

Answers

Answer:

85/3.5 = 17/0.7 = 24.29  pieces of ribbon .

Step-by-step explanation:

#3

Function? Yes or No?
Justify your answer:
Y and x

Answers

Answer:

yes this is a function.

Step-by-step explanation:

the line does not have any repeating x-values

Answer:

yes

Step-by-step explanation:

i think

Complete the proof.
Given:
CM I AB
23 = 24
Prove:
AAMC ABMC
C
34
12
M
А
B
Ich

Answers

say whatttttttttttttt

- a b – 3ab - C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:​

Answers

Answer:

Step-by-step explanation:

-a b-3ab-C+ 3ab2 - 2a² b + ab

where a = -1, b = -3 and c = = 10:​

= -(-1)(-3)-3(-1)(-3)-10+3(-1)(-3)2-2(-1)²(-3)+(-1)(-3)

= -(3)-(3)-10+6(3)-2(3)+3

=-3-3-10+18-6+3

=-22+21

= -1

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