Choose the property that justifies each step.
5(x - 1) = 4x+ 13

1) 5x- 5 = 4x + 13 ________

2)X- 5 = 13 ________

3) x= 18________

Options for each answer:

•Addition Property of Equality
•Distributive Property
•Multiplication Property of Equality
•Subtraction Property of Equality
•Transitive Property of Equality

Answers

Answer 1

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

Answer 2

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

What is distributive property ?

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

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Related Questions

In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded.
Which inequality does this graph represent?

A. y ≥ 2
B. y ≤ 2
C. y 2

Answers

Answer:

A. y ≥ 2

Step-by-step explanation:

First the line is solid, a complete line not dotted so the inequality sign to use is : ≥  or ≤

The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :

y ≥ 2

See attached graph below.

I need help with this

Answers

Answer:

3 weeks.

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Hope this helps

what is 4 divided by 6

Answers

2/3 or 0.6 repeat
Pls mark me brainliest

4. Landon is cooking soup. He has 15 pinan of vegetable broth, 19 pints of milk, and 14 pints of tomato juice. How many gallons does Landon have, if 1 gallon = 8 pints? 6 gallons.​

Answers

Answer:

6 gallons

Step-by-step explanation:

1) add 15 and 19 to get 34

2) then add 34 and 14 to get 48

3) then divide 48 by 8 to get 6

Simple geometry that I don’t know cuz I’m a dum dum

Answers

x=15

you do 2(5x-5)=(6x+50) and simplify, then you get x=15.


y=7

Once again, you do (5y+5)=(7y-9) and simplify. you get y=7.


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what is 4x +9 in a verbal expression?

Answers

Answer:

four times a number plus nine

Step-by-step explanation:

given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer:

a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

Step-by-step explanation:

The weekly demand curve of a local wine producer is p= 50-0.1q

p = price

q = quantity

Revenue function R =Price \times Quantity

R=(50-0.1q)q

[tex]R=50q-0.1q^2[/tex]

Cost function: c= 1500+ 10q

Profit function=R(x)-C(x)

Profit function= [tex]50q-0.1q^2-1500-10q[/tex]

Profit function= [tex]40q-0.1q^2-1500[/tex]   ----1

We have q = 500 - 10 p using p = 50 − 0.1q

[tex]P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500[/tex]

General quadratic equation:[tex]ax^2+bx+c=0[/tex]

On comparing

a = -0.1 , b = 40 , c = -1500

Maximum Profit is at q = [tex]\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200[/tex]

To find price must a bottle of wine be sold to realise maximum profit

p= 50-0.1q

p= 50-0.1(200)=30

Substitute the value of q in profit function(1) get the maximum profit

So, Profit function= [tex]40\left(200\right)-0.1\left(200\right)^{2}-1500=2500[/tex]

Hence

a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

If angle knm=(8x-5) and angle mnj=(4x-19) find the measure of angle knm?​

Answers

45 ahuevo que ssik 45

- |4x+10|-7=-14 solve for x

Answers

Answer:I forgot how to solve that

Step-by-step explanation:

Jill babysat for 7 1/2 hours and earned $63.75. How much money does she earn per hour?​

Answers

Answer:

$8.50 per hour

Step-by-step explanation:

63.75 / 7.5 = 8.5

need help with this​

Answers

Answer:

Slope-int form: y = 3x+5

Standard form: y - 3x = 5.

Step-by-step explanation:

(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)

Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.

But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:

y=3x+5.

To convert it to standard form, subtract 3x from both sides:

y - 3x = 5.

I hope this helped you.

|8x+3|=12 what’s the answer

Answers

Answer:

x= 9/8 , -15/8

Step-by-step explanation:

Answer:

x = 1.125 , x = 9/8

Step-by-step explanation:

|8x+3| = 12

=> 8x + 3 = 12

=> 8x = 12-3 = 9

=> 8x = 9

=> x = 9/8

As 9/8 is a fraction let's make it a decimal.

9/8 * 125/125 (To make it into a power of ten so that we can convert)

=> 1125 / 1000

=> 1.125

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2monthly fee. Write an equation in slope- intercept form that models this situation​

Answers

Answer:

y = 2x + 40

Step-by-step explanation:

Y is the total cost.

2 is dollars per month.

X is the number of months.

40 is the sign up fee.

Answer:

2x+40

Step-by-step explanation:

An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Answers

Answer:

Shaheem paid $76 as his total.

Step-by-step explanation:

He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

9x - 5 = 7x + 3

2x = 8

x = 4

You are trying to find the distance AB between two points on either side of a river. You
measure the following distance:

Answers

Answer:32ft

Step-by-step explanation: I missed this as well, ED and AB are the same and if you don’t read you skip over the fact ED equals 32ft. Since ED and AB equal eachother it would be 32ft

The value of AB = 32 feet

What is congruency ?

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.

Given:

EC= 32 ft = BC

DC= 28 ft =AC

<ECD= <BCA

So, In ΔECD and ΔBCA

EC = BC

DC= AC

<ECD= <BCA

Thus, by SAS ΔECD ≅  ΔBCA

Hence, by CPCT : ED= BA = 32 ft.

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x = -7y; 2x - 8y = 22​

Answers

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

An item is priced at $14.07. If the sales tax is 5%, what does the item cost including sales tax?

Answers

Answer:

14.77

Sale Tax: 5.00% or $0.70

Answer:

14.12

Step-by-step explanation:

0.05 is also known as 5%

14.07+0.05=14.12

if PQ = 5 and QR = 17 , find PR

Answers

PR would be 17.72 as the hypotenuse, according to the measurements, is 17.72

Verify the following: 3

−21 × −4 + −6 = −21 × −4 + (−21) × (−6)​

Answers

Answer:

the answer is -14 how about

study math next time

Answer:

Incorrect

Step-by-step explanation:

Use PEMDAS

Solve one side of the equation first

-21 × -4 + - 6

negative × negative = positive

84 + - 6

positive + negative = negative

84 - 6

78

Now solve the other side of the equation

-21 × -4 + (-21) × (-6)

negative × negative = positive

-21 × -4 + (126)

negative × negative = positive

84 + 126

210

Does 78 = 210?

No, so we can assume this equation is incorrect

pls help me with this

Answers

Answer:

I would say 3

Step-by-step explanation:

Most reasonable

1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.

Answers

Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

Solve sx+tx=r for x?

Answers

Answer:

x= r/s+t

Step-by-step explanation:

Left after party and you want to split it into four pieces what fraction of the original cake is each slice? A) 1/8. B) 1/4. C) 1/2. D) 2/1

Answers

Answer:

1/4

Step-by-step explanation:

because you are spitting it into fourths

Answer:

1/8

Step-by-step explanation:

Calcule o valor de x, sabendo que as retas “e” “f” e “a” são paralelas
a)36
b)37
c)37,5
d)38

Answers

Answer:

c

Step-by-step explanation:

[tex]\frac{x}{25}=\frac{60}{40}\\\\By\:Thales's\:Theorem\\\\x=\frac{60*25}{40}\\\\x=\frac{60*5}{8}\\\\x=\frac{15*5}{2}\\\\x=\frac{75}{2}\\\\x=37.5[/tex]

9=4(s-3)

Help me what’s the correct answer?

Answers

Answer:

 s=5 1/4

Step-by-step explanation:

Have a wonderful day

What is 5280 divided by 60

Answers

Answer:

ya the answer is 88

Step-by-step explanation:

evaluate x2+x-12÷y2 for x = 5 and y =2​

Answers

Answer:

3

Step-by-step explanation:

Find the measure of the exterior angle.
64
76

Answers

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

How to find the exterior angles of a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

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express 52/9 as a decimial

Answers

Hey there!

In order for you to convert/ express a fraction as a decimal you SHOULD:

DIVIDE the numerator (the TOP number) from the denominator (the BOTTOM number)

Now that we have that guide/side note we can answer your question, shall we?

52/ 9 = 5.777778

If you’re rounding to your Answer, then it’ll be: 5.78

Overall answer is: 5.777778 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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