Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

A sequence can be arithmetic, geometric or neither.

The value of N is 1597

The partial sequence is given as:

.... 987, N, 2584, 4181......

From the question, the current term is the sum of two previous terms.

This means that:

[tex]\mathbf{987 + N = 2584}[/tex] and

[tex]\mathbf{N + 2584 = 4181}[/tex]

Make N the subject in both equations

[tex]\mathbf{N = 2584 - 987}[/tex]

and

[tex]\mathbf{N = 4181 - 2584 }[/tex]

So, we have:

[tex]\mathbf{N = 1597}[/tex]

and

[tex]\mathbf{N = 1597}[/tex]

Hence, the value of N is 1597

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Answer:

6400

Step-by-step explanation:

Substitute the given value into the expression

p²q²

= 10² × 8²

= 100 × 64

= 6400

Step-by-step explanation:

given that p=10

you would times 10 by itself so:

10x10=100

now the same for the q=8

8x8=64

now i think you would have to times 100 with 64 if not than there's your answer

which equals to 6400 (if you times it)

hope that helps

Answer:

d.

took the test

Step-by-step explanation:

Answer:

3 : 1

Step-by-step explanation:

The values must be in the same quantity

1 Kg = 1000 g

4.5 Kg = 4.5 × 1000 = 4500 g

Then

4.5 Kg : 1500 g

= 4500 g : 1500 g ( divide both parts by 1500 )

= 3 : 1 ( in simplest form )

The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1

A ratio is a measure of the number of times one quantity is contained in or contains another quantity.

To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.

1 kg = 1,000g

Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g

The ratio 4.5 kg : 1,500 g can be written as follows;

4,500 g : 1,500 g

The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;

4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500)  = 3 : 1

Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1

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Answer:

Slope: 16

y-intercept: (0, 0)

Yes it is proportional

Step-by-step explanation:

To find the slope we can do rise over run.

 192 - 96           96

----------------- = ----------- = 16

    12 - 6              6

So the slope is 16

For the y intercept we can just look where the line crosses the y-line so (0, 0)

We can check that by inputing some numbers:

y = mx + b -------> 96 = 6 · 16 + b

                            96 = 96 + b

                            - 96     - 96

                               0 = b

in this equation b represents the y-intercept

And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)

So evidently the slope is proportional.

Answer:

0

Step-by-step explanation:

Equation of the line

(5 15) and (10 20)

Slope of the line is m =(20-15)/10-5 =5/5 =1

The line passes through (5 15)

Y-15=1(x--5)

x-y= --10

The equation of the line is

x-y+10=0

Answer:

It is proportional. They are all multiplied by three. (9*3=27)

Step-by-step explanation:

Answer: −2.4≤−2.40

Step-by-step explanation:

Tough one.  I judge −2.4 ≤−2.40 to be the correct answer.  The difference in significant digits only tells us we don't know for certain that they are equal.  But 2.4 MAY be equal, or less than 2.40.  None of the others options allows for the fact that they may be equal.

Answer:

sorry i was dared to sooooooo yayyyyyyyyyyyyyy

Answer:

Step-by-step explanation:

Perimeter = 5x + 10 + 5x + 10 + 5x + 8

= 15x + 28...ans

Answer:

50%

Step-by-step explanation:

If the distrubution is normal

and mean is the average score

that means that half of them should be equal to or below the mean

and the other half is equal to or above the mean

Answer:

y = 10-2x

Step-by-step explanation:

2x+y=10

y=10-2x

6:15 to 7:45 is 1 hour and 30 minutes.

Dividing 1 hour and 30 minutes by 15 minute intervals equals 6

They rang the bell 6 times

Answer:

give you up desert you

Step-by-step explanation:

give you up desert you

Answer:

NEVER GONNA GIVE YOU UP

AROUND AND DESERT YOU

Extra for fun: NEVER GONNA LET YOU CRY NEVER GONNA SAY GOODBYE (i think)

Step-by-step explanation:

Just is correct trust me exept the extra extra im not fully sure

Answers:

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

Explanation:

The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.

Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.

So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.

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

Work Shown for Problem 6:

3x = x+10

3x-x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 7:

x = 10-x

x+x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 8:

4x-12 = x

4x-x = 12

3x = 12

x = 12/3

x = 4

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

Work Shown for Problem 9:

2(x+3) = 18

2x+6 = 18

2x = 18-6

2x = 12

x = 12/2

x = 6

Or you can solve it like this

2(x+3) = 18

x+3 = 18/2

x+3 = 9

x = 9-3

x = 6

Answer:

y=m+p

Step-by-step explanation:

take the p to the other side.

p crosses = sighn and becomes +

hence ans = y=m+ p

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

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Answer:

a = 0.5

b = 6

ab - b

= 0.5 × 6 - 6

= 3 - 6

= -3

Hope it helps:)

Answer:

Step-by-step explanation:

Answer:

0.0132y :DDDDDDDDDD

Answer:

15-22=a/12

-7=a/12

12(-7)=a

-84=a

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

200 -> 160

160/200

= 0.8

1 - 0.8

= 0.2

There was a 20% decrease in attendance.

Answer:

the vertex of this parabola is at (5/2, 47/4)

Step-by-step explanation:

Y=x^2+5x-7 is written in 'standard form' for a quadratic.  Comparing this to

y = ax^2 + 5x - 7, we see that a = 1 and b = 5.  

                                                                                          -b

The formula for the x-coordinate of the vertex is x = --------

                                                               5                         2a

which in this case has the value x = ------- = 5/2

                                                             2(1)

Now use the quadratic formula to find the y-value of the vertex:

y = (5/2)^2 + 5(5/2) - 7, or

y  =  25/4 + 25/2 - 7, or

y  = 11.75 or 11 3/4

Thus the vertex of this parabola is at (5/2, 47/4)

Answer:

-3

remember, slope is rise over run. It's negative because the line is declining.

Answer:

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Its a square number

Step-by-step explanation:

Hope this helps! Please mark brainliest if it did, it means a lot of proogression to me and thanks! <3

Answer:

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5

According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.

The difference in sample means is a point estimate for the difference in population means.

Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.

The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.

The difference between the sample means is a point estimate for the difference between the two population means, as we already know.

Upperclassmen sample mean - underclassmen sample mean = point estimate,

Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.

The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.

Find out more about point estimates at

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Answer:

6 is no, -8 is no, - 10 is no, 5 is no

Step-by-step explanation:

6 is no beacause 3 - 4(6) = 11

                            3 - 24 = 11

                               -21 = 11

-21 is not equal to 11 so that means that 6 is not a solution.

- 8 is no because 3 - 4(- 8) = 11

                             3 + 32 = 11

                                  35 = 11

35 is not equal to 11 so that means that - 8 is no a solution

- 10 is no beacause 3 - 4(-10) = 11

                            3 + 40 = 11

                               43 = 11

43 is not equal to 11 so that means that - 10 is not a solution.

5 is no beacause 3 - 4(5) = 11

                            3 - 20 = 11

                               -17 = 11

-17 is not equal to 11 so that means that 5 is not a solution.

Hope that helps!

Answer:

If u=6,

 3-4u=11

3-4(6)=11

 3-24=11 (false; not a solution)

If u=-8,

  3-4u=11

3-4(-8)=11

 3+32=11 (false; not a solution)

If u=-10,

   3-4u=11

3-4(-10)=11

   3+40=11 (false; not a solution)

If u=5,

 3-4u=11

3-4(5)=11

3-20=11 (false; not a solution)

Answer:

the value of h in the diagram is I hope hight