Drag each step and justification to the correct location on the table. Each step and justification can be used more than once, but not all steps and justifications will be used.
Order each step and justification that is needed to solve the equation below.

please help me ​

Drag Each Step And Justification To The Correct Location On The Table. Each Step And Justification Can

Answers

Answer 1

Answer/Step-by-step explanation:

Below are the steps to take in solving the given equation, as well as justification forf each step:

[tex] \frac{2}{3}y + 15 = 9 [/tex]  => Given

[tex] \frac{2}{3}y + 15 - 15 = 9 - 15 [/tex] => subtraction property of equality

[tex] \frac{2}{3}y = - 6 [/tex] => simplification

[tex] \frac{2}{3}y * \frac{3}{2} = - 6 * \frac{3}{2} [/tex] => multiplication property of equality

[tex] y = - 9 [/tex] => simplification


Related Questions

describe the solution to the system of equations graphed below.

Answers

Answer:

Step-by-step explanation:

The answer is B, the solution to your equation is at (2,1). Your solution is where the two lines meet.

Answer:

The second option.

Step-by-step explanation:

When two lines intersect, they usually intersect at just one point (unless they are parallel, where they never intersect; or no solutions when they infinitely intersect).

According to the graph provided, the lines are intersecting at one point: (2, 1).

So, your answer will be the second option!

Hope this helps!

show that the straight line x+y does not intersect the curve x^2-8x+y^2-12y+6=0 if k^2-20k+8>0​

Answers

Use simultaneous equation with both equations, the value of x should not be possible therefore they do not intersect

Pleaseee hellllpp!!!!

How many grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl?

Answers

Answer:

105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.

Step-by-step explanation:

We are given that the compound has 6.3 x10^23 atoms of Cl.

To find how many molecules of AuCl3 are in the given compound, we divide the compound by 3, i.e;

[tex]\frac{6.3 \times 10^{23} }{3}[/tex]  =  [tex]2.1\times 10^{23}[/tex] molecules of AuCl3.

Now, as we know that 1 mole of AuCI3 has [tex]6.022 \times 10^{23}[/tex] molecules.

So, the moles that our compound has is given by;

      =  [tex]\frac{2.1 \times 10^{23} }{6.022 \times 10^{23} }[/tex]  = [tex]\frac{2.1}{6.022}[/tex]  = 0.349 mole AuCI3

Also, the molar mass of AuCI3 = 303.33 g/mole

So, the molar mass of 0.349 moles AuCI3 =  [tex]303.33 \times 0.349[/tex]

                                                                      =  105.86 g

Hence, 105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.

A: What are the solutions to the quadratic equation 9x2 + 64 = 0?
B: What is the factored form of the quadratic expression 9x2 +64?
Select one answer for question A, and select one answer for question B.
B: (3x + 81)(x - 1)
B: (x-8)(3x-8)
B:(3x8)(3x + 8)
B: (3x - 81)(3x + 81)
Ax = or x = -1
A:x =
A: x = i orx = -
O A x = 1

Answers

Answer:

B: (3x + 81)(x - 1)

Step-by-step explanation:

1,305 divided by 31,828 x100

Answers

Answer:

[tex]4 \frac{1}{10}[/tex]

Step-by-step explanation:

=> [tex]\frac{1305}{31828} * 100[/tex]

=> 0.041 * 100

=> 4.1

=> [tex]4 \frac{1}{10}[/tex]

Help me asap i really need this

Answers

Answer:

3

Step-by-step explanation:

6/2

I hope this is right :)

Which expression can be simplified to find the slope of the line of best-fit in the scatterplot below? On a graph, a trend line goes through points (4, 35) and (16, 134). StartFraction 134 minus 35 Over 16 minus 4 EndFraction StartFraction 134 minus 16 Over 35 minus 4 EndFraction StartFraction 4 minus 16 Over 35 minus 134 EndFraction StartFraction 4 minus 16 Over 134 minus 35 EndFraction

Answers

Answer:

134-35/16-4 (A)

Step-by-step explanation:

I just know

Answer

A)  134-35/16-4

Step-by-step explanation:

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply.

Answers

Answer:

y = -[tex]\frac{2}{5}[/tex]x - 1

Step-by-step explanation:

First, we can put the equation into y = mx + b form:

2x + 5y = 10

5y = -2x + 10

y = -[tex]\frac{2}{5}[/tex]x + 2

Now, we know the slope is -[tex]\frac{2}{5}[/tex]. A parallel line will have the same slope.

So, we can plug in the point (-5, 1) into the equation y = -[tex]\frac{2}{5}[/tex]x + b to find b:

1 = -[tex]\frac{2}{5}[/tex](-5) + b

1 = 2 + b

-1 = b

So, the equation will be y = -[tex]\frac{2}{5}[/tex]x - 1

Of a squirrel's hidden nuts, for every 555 that get found, there are 333 that do not get found. A squirrel hid 404040 nuts all together. How many of the nuts do not get found?

Answers

Answer:

151515 not found

Step-by-step explanation:

For every 555 nuts found, 333 are not.  This gives a total of 888.

555 + 333 = 888

Divide the total number of nuts by this number.

404040/888 = 455

Multiply the number that get found and the number that don't by the number calculated above.

555 × 455 = 252525

333 × 455 = 151515

252525 nuts will be found and 151515 will not.

Answer:

15

Step-by-step explanation:

Which of these systems of linear equations has no solution?
2 x + 8 y = 15. 4 x + 16 y = 30.
2 x minus y = 18. 4 x + 2 y = 38.
4 x + 7 y = 17. 8 x minus 14 y = 36.
4 x minus 3 y = 16. 8 x minus 6 y = 34.

Answers

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution

Step-by-step explanation:

Examine the system

2 x + 8 y = 15

4 x + 16 y = 30

We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.

Next, look at the system

2 x minus y = 18

4 x + 2 y = 38

If we divide the second equation by 2, we get the system

2x - y = 18

2x + y = 19

Combining these two equations, we get 4x = 37, which has a solution.

Third, analyze the system

4 x + 7 y = 17                =>  8x + 14y = 34

8 x minus 14 y = 36      => 8x - 14y  = 36, or 16x = 70, which has a solution

Finally, analyze the system

4 x minus 3 y = 16    => -8x + 6y = -32

8 x minus 6 y = 34   =>  8x  - 6y  = 34

If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible.  This system has no solution.

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.

Step-by-step explanation:

Find the coefficient of x^2 in the expression of (x - 7)^5. a. -3430 b. -3034 c. 3034 d. 3430

Answers

Answer:

let me know when you have the anwser

Step-by-step explanation:

Find the equation of the given parabola in vertex and standard form. Describe in words all transformations that have been applied to the graph of y=x^2 to obtain the given graph of the transformed function

Answers

Answer:  [tex]a)\ \text{Vertex}:y=-\dfrac{3}{2}(x+1)^2+6[/tex]

                [tex]b)\ \text{Standard}:y=-\dfrac{3}{2}x^2-3x=\dfrac{9}{2}[/tex]

              c) Transformations: reflection over the x-axis,

                                               vertical stretch by a factor of 3/2,

                                               horizontal shift 1 unit to the left,

                                               vertical shift 6 units up

Step-by-step explanation:

Intercept form: y = a(x - p)(x - q)

Vertex form: y = a(x - h)² + k

Standard form: y = ax² + bx + c

We can see that the new vertex is (-1, 6). Use the Intercept form to find the vertical stretch: y = a(x - p)(x - q) where p, q are the intercepts.

p = -3, q = 1, (x, y) = (-1, 6)

a(-1 + 3)(-1 -1) = 6

       a (2)(-2) = 6

                a  = -6/4

                 a = -3/2

a) Input a = -3/2 and vertex (h, k) = (-1, 6) into the Vertex form to get:

[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]

b) Input a = -3/2 into the Intercept form and expand to get the Standard form:

[tex]y=-\dfrac{3}{2}(x+3)(x-1)\\\\\\y=-\dfrac{3}{2}(x^2+2x-3)\\\\\\y=-\dfrac{3}{2}x^2-3x+\dfrac{9}{2}[/tex]

c) Use the Vertex form to identify the transformations:

[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]

a is negative: reflection over the x-axis|a| = 3/2: vertical stretch by a factor of 3/2h = -1: horizontal shift left 1 unitk = +6: vertical shift up 6 units

Which relation is not a function?
a) y = 1x + 7
by=- 4(x + 3)2 + 10
c) -2y = - 3x + 9
d) x2 + y2 = 25

Answers

Answer:

x^2+y^2=25

Step-by-step explanation:

x^2+y^2=25 graphs a circle. A relation is a function if every x only has one y value. This is not true in a circle.

Answer:

d) x^2 + y^2 = 25.

Step-by-step explanation:

D is the equation of a circle so it fails the vertical line test for a function. If a relation is a function then any vertical line passing through it's graph will only intersect it once. This is not true of a circle.

Use SOHCAHTOA for this. Work out 'm' in 3sf, I need the working out.

Answers

Anwer:3.537m

STEP BY STEP EXPLANATIOND:using SOH CAH TOA

First find the opposite

Represent the opposite with x

Tan 33° =x\10

x=10Tan 33°

x=6.494

To find m

Sin 33°=m\6.494 Sin 33°

m=3.5368

m=3.537meteres

Simplify the following expression. 3 – 2(–6x + 3)

Answers

Answer:

-3 + 12x

Step-by-step explanation:

3 - 2(-6x + 3)

3 + 12x - 6

-3 + 12 x

Hope this helped! :)

y = 5x + 2 3x = –y + 10 What is the solution to the system of equations

Answers

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

i need the answer right now

Answers

Answer: 33 1/3%

Explanation: When calculating actual numbers, the difference may result in a different percentage (because percentages sometimes work that way). However, when presented with an unquantified percentage and no other information to go by, the question is framed to point to an equal and opposite answer. Because George is a certain percent richer than Pete, Pete would then be equally poorer than George.

3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use
the formula:
Vt) = P(1 + r) where V(t) is the value of the coin in t years, Please HELP! help on number three

Answers

Answer:

Coin A : [tex]V(t)=25(1.07)^t[/tex]

Coin B : [tex]V(t)=40(1.05)^t[/tex]

Step-by-step explanation:

Consider the given formula is  

[tex]V(t)=P(1+r)^t[/tex]

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

[tex]V(t)=25(1+0.07)^t[/tex]

[tex]V(t)=25(1.07)^t[/tex]

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

[tex]V(t)=40(1+0.05)^t[/tex]

[tex]V(t)=40(1.05)^t[/tex]

Therefore, the required equations for coin A and B are [tex]V(t)=25(1.07)^t[/tex] and [tex]V(t)=40(1.05)^t[/tex] respectively.

A system of linear equations contains two equations with negative reciprocal slopes. Select all of the correct statements. A. The system may have no solution B. The system will have one solution C. The system will have two solutions D. The system may have infinitely many solutions

Answers

Answer:

B.

Step-by-step explanation:

"negative reciprocal slopes" means the lines are perpendicular, so they will always intersect.

Hence there will be exactly one solution.

B. The system will have one solution.

What is a negative reciprocal slope?

The slopes of perpendicular strains, or bisecting strains, are continually terrible reciprocals of each other. For instance, if the slope of a line is -five, then the slope of a line perpendicular to this line will be the negative reciprocal of -five.

What is the system of two linear equations that have different slopes?

If the 2 traces have exclusive slopes, then they'll intersect as soon as. consequently, the gadget of equations has exactly one answer. If the two traces have the equal slope however of kind y-intercepts, then they're parallel strains, and they'll by no means intersect.

Learn more about the system of linear equations here: https://brainly.com/question/14323743

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Help
Use a calculator to find the
square root of 74 and round
to the nearest tenth.
d = 174.
d = [?]

Answers

Answer:

8.6

Step-by-step explanation:

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The square root of the value 74 will be calculated as below:-

D = √74

D = 8.602325267

D = 8.6

Therefore, the square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.

To know more about expression follow

https://brainly.com/question/723406

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I really need help pls

Answers

Let’s say the side of a square would be x ( all sides of a square have the same length)

If you add 2 feet to the length
Length = x +2

If you subtract 2 feet to the width
Width = x-2

Area of rectangle = l x w
= (x-2)(x+2)

If the original patio was 10 feet by 10 feet, the new one can be found by inserting x = 10 to the expression above

(10-2)(10+2) = 8 x 12 = 96

96 square feet is the new area

Answer:

D.

Step-by-step explanation:

Original dimensions:

L = x

W = x

Now we reduce the width by 2 ft and increase the length by 2 ft.

L = x + 2

W = x - 2

The area is the product of the length and width.

A = LW = (x + 2)(x - 2)

The original length and width are 10 ft.

L = W = x = 10

A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96

The new area is 96 sq ft.

Answer: D.

The mean per capita income is 19,292 dollars per annum with a variance of 540,225. What is the probability that the sample mean would be less than 19269 dollars if a sample of 499 persons is randomly selected? Round your answer to four decimal places.

Answers

Answer:

The probability is 0.2423.

Step-by-step explanation:

Given mean per capita = 19292 dollars

Given the variance = 540225

Now find the probability that the sample mean will be less than 19269 dollar when the sample is 499.

Below is the calculation:

[tex]\bar{X} \sim N(\mu =19292, \ \sigma = \frac{\sqrt{540225}}{\sqrt{499}}) \\\bar{X} \sim N(\mu =19292, \ \sigma = 32.90) \\\text{therefore the probability is:} \\P (\bar{X}< 19269) \\\text{Convert it to standard normal variable.} \\P(Z< \frac{19269-19292}{32.90}) \\P(Z< - 0.6990) \\\text{Now getting the probability from standard normal table}\\P(Z< -0.6990) = 0.2423[/tex]

Factor the expression 4x + 32. Explain each step you take in the process. 100 points goes to brainliest

Answers

Answer:

4(x+8)

Step-by-step explanation:

4x+32

x+8 in parentheses

and put the 4 on the outside of the parentheses

like this 4(x+8)

Answer:

4(x+8)

Step-by-step explanation:

4x + 32

Rewriting

4*x + 4*8

Factor out 4

4(x+8)

Bettina is measuring the food for her farm animals. She has 265 grams of corn, 500 grams of hay, and 495 grams of oats. What is the total weight in kilograms?

Answers

Answer

260 kilograms

Step-by-step explanation:

the correct answer is 260 kg

Answer: 12.6 kg

Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams

Solve -27p²q²+6p³-2p⁴-q³​

Answers

Answer:

-27p^2 q^2 +6p^3 -2p^4 -q^3

Step-by-step explanation:

COMBINE LIKE TERMS

Solve the equation x^2 – 16x + 25 = 0 to the nearest tenth.

Answers

Answer:

1.8 and 14.3

Step-by-step explanation:

Our equation is a quadratic equation so we will use the dicriminant method

Let Δ be our dicriminant a=1b= -16c= 25Δ= (-16)²-4*25*1=156≥0 so we have two solutions : x and y x= (16-[tex]\sqrt{156}[/tex])/2= 1.7555≈ 1.8y=(16+[tex]\sqrt{156}[/tex])/2=14.244≈ 14.3

Here’s a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

The equation that describes the function is y = -6x-1

Step-by-step explanation:

Firstly we can see that the graph passes through the origin.

The general equation of a starlight line graph is;

y = mx + c

where m is the slope and c is the y-intercept

what’s left now is go find our slope

We need two points for this on the line.

Let’s identify these points;

The identifiable points are; (1,-7) and (-1,5)

So the formula for the slope is;

y2-y1/x2-x1 = (5-(-7))/(-1-1) = 12/-2 = -6

Thus, the equation of the line becomes

y = -6x + c

Looking at the graph again, we can see an obvious y-intercept at the point y = -1

So our intercept is -1

The equation of the line is thus;

y = -6x -1

44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average
speed of 3.9 m/s. This speed is correct to 1 decimal place. Calculate the greatest possible time taken by Maria​

Answers

Answer:

Time = distance/speed

max distance = 380+10 = 390 m

Max Time = 390/3.9 = 100 s

A truck is to be filled with packages that weigh 5.8kg. If the maximum capacity of the truck is 48000 grams and there is a 5500 gram package already on the truck how many 5.8kg packages can be loaded?

Answers

Answer: 7 packages

Step-by-step explanation:

From the question, we are told that a truck is to be filled with packages that weigh 5.8kg. The maximum capacity of the truck is 48000 grams(48kg) and there is a 5500 gram(5.5kg) package already in the truck.

First, we need to subtract 5.5kg from 48kg to know the amount of space left. This will be:

= 48kg - 5.5kg

= 42.5kg

To get the number of 5.8kg packages that can be loaded, we divide 42.5kg by 5.8kg. This will be:

= 42.5kg/5.8kg

= 7.3

= 7 approximately

Therefore, 7 packages will be loaded.

N.B: 1000 grams = 1 kilogram

A rectangular driveway has the dimensions shown below. Concrete costs $49.75 per square yard to pour. How much will it cost to pour concrete for the entire driveway?

Answers

Answer:

[tex]\boxed{ \bf The~answer~is~$2,350.69.}[/tex]The answer is $2,350.69.

Explanation:

First, we must find the area of the rectangular driveway.

A = l × w

A = 15.75 × 3

A = 47.25

So, the area of the driveway is 47.25 yd².

Next, we need to multiply the cost of each square yard by the area.

49.75 × 47.25 = 2350.6875

This can be rounded to 2,350.69.

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