45 pointssss!!!!
A group of teenagers was asked how many hours they had slept the night before.

The data listed below are the reported responses.

8, 10, 4, 10, 7, 8, 9, 9, 8, 8, 7, 9, 12, 8, 6, 7, 8

Create a dot plot for the data in the list. Hover over each number on the number line. Then click and drag up to create the dots.

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

Answer:

c

Step-by-step explanation:

Answer:

1 * -4 = -5 + 1

Step-by-step explanation:

Given:

Initial value of new car = $17,500

Depreciation rate = 4.6%

To find:

The value of car after 4 years.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

where, a is initial value, r is decreasing rate and t is time in years.

Substitute a=17500, r=0.046 and t=4 in the above equation.

[tex]y=17500(1-0.046)^4[/tex]

[tex]y=17500(0.954)^4[/tex]

[tex]y=17500(0.8283111)[/tex]

[tex]y=14495.44425[/tex]

[tex]y\approx 14495.44[/tex]

The value of car after 4 years is $14495.44.

Therefore, the correct option is D.

Answer:

The sales tax will be $3.20

Step-by-step explanation:

Answer:

well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct

Answer:

(-5,-3)

Step-by-step explanation:

y values minus y values over x values minus x values

Answer:

The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

Step-by-step explanation:

We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]

The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

We are given b=6 and a=-5

We need to find f(b) and f(a)

Finding f(b)

Putting x= 6 to find f(b)

[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]

So, f(b)=19

Now finding f(a)

Putting x= -5 to find f(a)

[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]

So, f(a)= 30

Finding average rate of change

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]

Average rate of change = -1

So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

Answer:

5.5 miles

Step-by-step explanat

330 mph / 60 mph = 5.5 mph

Answer:

5 hours and 30 minutes

Step-by-step explanation:

Answer:

now lemme answer this. u did the same to me.. came to my question and answered wrong i mean nothing.

revenge

10100 hope it helped!

Answer:

11. C.

12. B.

Step-by-step explanation:

Factor them

Answer:

La hipotenusa es el lado opuesto al ángulo recto en un triángulo rectángulo, resultando ser su lado de mayor longitud.

Step-by-step explanation:

Answer:

Lado opuesto al ángulo recto en un triángulo rectángulo.

Answer: it’s C

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.

it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is given that:

Roger owes his father $15. He borrows another $25 from him.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The amount Roger owes = $15

Roger borrows = $25

Total debt = -15 + (-25)

Total debt = -$40

The above integer represents the balance that he owes his father.

Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.

Learn more about the integer here:

https://brainly.com/question/15276410

#SPJ2

Answer:

About 3.052 units

Step-by-step explanation:

I  presume you won't  need this explanation now,  but just in case;

If we draw triangle MNK, as  MN = NK we know is isosceles. Now let's draw an altitude to MK so that  it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.

Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);

sin(55°)= 2.5/MN,

x = 2.5/sin(55°) ≈3.052

Answer:

(x1y1)= (-8,-4)

(x2y2)= (4,-4)

here

slope= (y2-y1)/ (x2-x1)

= 0/ 12

= 0

Step-by-step explanation:

0

Answer:

x = 2

Step-by-step explanation:

[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2[/tex]

Answer:

3

Step-by-step explanation:

+2 =18

18/6 =3

Answer:

x=3

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Answer:

I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.

Step-by-step explanation:

Answer:

if number was represented by x it would be x+5

Step-by-step explanation:

Answer:

The Second, Fourth, and Fifth points on the graph

Finn, Jeff, Kevin

Step-by-step explanation:

hopefully this helped, if not HMU and I will get a better answer

Answer:

b

Step-by-step explanation:

i did it

Answer:

b. 1/5

Step-by-step explanation:

i took the unit test on edge

Answer:

You divide 2.50 by 5.

So 2.50/5 makes it $0.50 per ounce.

Answer: $0.50 for 1 ounce

Step-by-step explanation:

To find a unit rate, you have to find the cost for one. When we say it's $2.50 for 5 ounces, it's for 5, not 1. So we have to divide by 5.

2.50/5= 0.5 and 5/5=1

Answer:

407

Step-by-step explanation:

Answer:

a-2

Step-by-step explanation:

Answer: 5

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