Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer 1

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer 2

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.


Related Questions

original cost 14.50 markup:14%

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

14%. 14.5 = 14% = 0.14

A store sells 2 printers for every 5 computers the store sells 40 computers how many printers dose the store sell

Answers

It’s 16 cause 8x2=16

6. What would a+c< 100 mean in this situation?|

Answers

Answer:

Sum of a and c is less than 100.

Step-by-step explanation:

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When a whole number is multiplied by 10to the 5th power, how does the placement of the decimal point change? a It moves five places to the right. b It moves ten places to the right. c It moves five places to the left. d It moves ten places to the left.

Answers

Answer:

The correct option is;

a) It moves five places to the right

Step-by-step explanation:

Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised

Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.  

The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value

Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right

Example:

x.0 × 10⁵ = x00000.0

Where, x is a whole number.

please please please i need help !!!

Answers

Answer: Choice B

h(c) = 1 for at least one c between -3 and 4

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

Explanation:

Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.

Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.

The region inside this rectangle is all we care about.

We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.

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

After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.

This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).

This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.

This says that for some input between -3 and 4, it's possible to get an output of 1.

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

Here's a real world example of the intermediate value theorem.

Let's say the endpoints are A and B, and they are two towns.

The h(x) curve is a road connecting the towns.

To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.

side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).

A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is

Answers

107.50 + 160.00= how much he will make

What is the slope of the table below? (Pls hurry)

Answers

Ndndndnfnfhfjcjcj 1.5

solve to simpilist form 3/4/2 . (3 on top of 4/2) :D

Answers

Answer:

5/1

Step-by-step explanation:

The keypad to get into a building asks you to put in a five-digit code. You can select any number, 0 through 9, for each of the digits in your code. How many possible codes could you make?
A.1,000
B.100,000

Answers

Answer:

B. 100,000

Step-by-step explanation:

Answer: 100 000 combinations

Step-by-step explanation: You can have up to 10 combinations for each digit, times the number of... Numbers you want.

The function below was generated using an equation of the form f(x) = asin(bx – c). On a coordinate plane, a function has a maximum of 3 and minimum of negative 3. It completes one period at pi. It increases through the y-axis at (0, 0). Find a, b, and c for the function such that the graph of f matches the figure. a = 3, b = –2, c = π a = 2, b = 3, c = –π a = 3, b = 2, c = –π a = 2, b = -3, c = π

Answers

Answer: A

a = 3, b = –2, c = π

Step-by-step explanation:

The values of a, b and c for the function such that the graph of f matches the figure are;

a = 3, b = -2, c = π

We are given the equation as;

f(x) = a sin(bx - c)

Now, the general form of equation of a sinusoidal wave is;

y = Asin(ωt + ϕ)

Where;

A is the amplitude of the wave

ω is the wave's angular frequency,

ϕ is the phase of the sine wave in radians.

Comparing that general equation to the one we are given, we have;

a as the amplitude

c as the phase

Now, from the attached image of the graph, the amplitude it the peak of the wave which is 3.

Thus; a = 3

Now, the phase angle from the graph which is the interval for each period of motion of the wave is seen to be π. Thus, c = π

Looking at the options, the only one that has the correct value of a and c is option A.

Read more about sinusoidal waves curve at; https://brainly.com/question/20431795


A 20 gallon tank is full. How many gallons are in the tank?

Answers

Answer:

20???

Step-by-step explanation:

20 gallons because it is full and the most that can be filled up is 20 gallons

5.78575184279 rounded to the nearest whole number

Answers

Answer:

6

Step-by-step explanation:

5.78575184279 rounded to the nearest whole number is 6.

To round off the number 5.78575184279  to the nearest whole number.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Number = 5.78575148279
Since the number after decimal place is .7 which is close to 1.0 so the round of the number gives 6.

Thus, 5.78575184279 rounded to the nearest whole number is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2


1.) plz Find the measure of angle B
B
65
30
A
с
O x = 80
X = 85
O x = 90
O x = 95

Answers

X=85

I hope this helps

Answer:

eu acho que é a C

e um belo dia abençoado

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

find the surface area

Answers

Answer:

The surface area of the box is 496² m.

(11*8)+(11*8)+(11*8)+(11*8)+(8*9)+(8*9)=496

I need helppppp rightttt nowwwwww

Answers

Answer:

ruler(×,y)=(20,20)

Step-by-step explanation:

sorry if its wrong

anyways are you using a mac?

Which point represents (5,-3) on the graph?

Answers

Answer:

Point D

because you go 5 to the right and 3 down.

D

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What value is missing from the table?

Answers

The answer is C.12.

Four-ninths of the students at Edison Junior High School walk to school. If 248 students walk to school, how many students attend Edison Junior High School?
Please put a numerical explantion

Answers

9514 1404 393

Answer:

  558

Step-by-step explanation:

Let p represent the student population at Edison Jr High. Then we know ...

  (4/9)p = 248 . . . . . 248 students is 4/9 of the student population

  p = 248(9/4) = 558 . . . multiply the equation by 9/4

558 students attend Edison Jr. High.

25 grams of crackers for $5.00
How much per gram of crackers?

Answers

Answer:

$0.50

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

5.00 divided by 25

Translate the sentence into an inequality.

Five subtracted from b is less than or equal to 16.

Answers

Answer:

Step-by-step explanation:

b-5 ≤ 16

Answer:

b - 5 ≤ 16

Step-by-step explanation:

the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation ​

Answers

Answer:

Step-by-step explanation:

The length of the swimming pool is 8m longer than it's width.

If we say L = length, W = width

From the information above, we can say

L= 8 + w

We are also told the area is 105 m squared.

Note:

Area of a Rectangle = Length x Width

105 =  (8 + w ) x w

[tex]105 = 8w + w^2\\[/tex]

Subtract 105 from both sides:

[tex]w^2 + 8w - 105 = 0[/tex]

3. If Greg forgives Chad's $3 debt to him, how does that affect how much money Chad has?

Answers

He has more because he does not have to pay back the three dollars that Greg forgave
it should be -3 i might be wrong but i’m positive

Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers

Answers

Answer:

12

Step-by-step explanation:

No. of red flyers = 6

No. of blue flyers = 4

We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.

Prime factorization of 6 = 2×3

Prime factorization of 4 = 2×2

Lowest common multiple of 6 and 4 = 12

Hence, there are 12 minimum number of flyers of each color

Describe or show how to find the following product using both an algorithm and a diagram:

3 x 3/4

Answers

Answer:

Explanation:

PART 1. Using an algorithm:

First expression:

Step 1: Multiply numerators and denominators.

Second expression:

Step 1: Multiply numerators and denominators.

Third expression:

Step 1: Convert mixed fraction into improper fraction:

Step 2: Replace the improper form into the expression

Step 2: Multiply numerators and denominators.

PART 2. Using diagram:

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.

Step-by-step explanation:

Answer:

hhahaahhahahaahhaahaha yalll so dum hahahahahahahhahaahah

Step-by-step explanation:

this is easy. hahahahahahahhaahahhaahahahhaahhaahahahaha

M to the power of 5 n to the power of 3 divided by m to the power of 2 n to the power of -4

please solve fast I will mark the first answer as brainliest and give with step by step explanation ​

Answers

When you divide exponents, you subtract the powers.
m^5/m^2 = m^3
n^3/n^-4 = n^7

Answer is (m^3)(n^7)

Casey spent half of his weekly allowance on pokemon cards. to earn more money his parents let him wash the car for $7. what is his weekly allowance if he ended with $17.

Answers

well if we take the 17 he ended up with and subtract the 7 extra he got, his weekly allowing would be $10.
the equation would be set up like so: x+7=17
so again you'd just subtract the 7 and end up with 10

hey please help this is really important (first to answer i will give brainlyiest) after some else answers

Answers

Answer:

can u type out the question i cant see the photo i will help thou

Step-by-step explanation:

Answer:

29

-26

Step-by-step explanation:

the equation of f(x) is given. to find f(8) just apply 8 in the place of x in the equation

same method for f(-3) just apply -3 in place of x

Jason left his house at 9:58 A.M. He arrived at
the baseball field 16 minutes later. At what
time did Jason arrive at the baseball field?

Answers

Answer:

10:14

Step-by-step explanation:

He arrived to the baseball field at 10:14 A.M.


A line passes through the HELP ME PLEASE
point (4, -6) and has a slope of -3/4. Which is the equation of the line?
O y=-x-3
O y=-x-6
O y=-3x-
3
4
3
O y=-6x-

Answers

Answer:

i hope this helps

Step-by-step explanation:

ggbsus dvrjsjagaubs don't mind this

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