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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:

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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:

1 * -4 = -5 + 1

Step-by-step explanation:

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:

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:

The sales tax will be $3.20

Step-by-step explanation:

Answer: 5

             eergrwergtrw  

Answer:

407

Step-by-step explanation:

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]

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:

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:

(x1y1)= (-8,-4)

(x2y2)= (4,-4)

here

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

= 0/ 12

= 0

Step-by-step explanation:

0

Answer:

28.00 and yes he is still in his budget

Step-by-step explanation:

22.50

5.50

............

28.00

Answer:

Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.

Step-by-step explanation:

To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.

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:

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:

b

Step-by-step explanation:

i did it

Answer:

b. 1/5

Step-by-step explanation:

i took the unit test on edge

Answer: it’s C

Step-by-step explanation:

Answer: A

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:

a-2

Step-by-step explanation:

Answer:

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

Answer:

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

revenge

Answer:

(-5,-3)

Step-by-step explanation:

y values minus y values over x values minus x values

10100 hope it helped!

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:

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.