An equation is shown below:

4(x − 3) − 5(x + 1) = 3

Which statement shows a correct next step in solving the equation?

The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Answers

Answer 1

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

By applying the distributive law to this equation, we can produce the equation :

     4x − 12 − 5x − 5 = 3;

The distributive property is a mathematical function in which each element in the parentheses is multiplied by the one outside of it;

   4(x − 3) − 5(x + 1) = 3

In the equation;

  4 distribute over the first parentheses and -5 over the second one;

   So we expand;

      4x - 13 - 5x -5  = 3

In distributive property, expansion simply takes place.


Related Questions

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5

Answers

Answer:

A,D

Step-by-step explanation:


Amy thinks that 5 to the power of 3 is 3x 3 x 3, or 27. Explain what Amy is doing wrong.

Answers

It should be 5x5x5 or 125

Write an equation to represent the following statement.
j divided by 9 is 5.
Solve for j.
j=

Answers

Answer:

J= 45

Step-by-step explanation:

You have to multiply 5 by 9 to get what J is.

Complete the division problem by determining the number that should be placed in the box.

Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem.

Answers

Answer: 560

Step-by-step explanation:

547      

14 | 7658

   -7000

________

      658

    - 560

___________

         98

       - 98

__________

           0

hope that helps i hope it correct and helps :D

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = [tex]\frac{90 -5f}{2}[/tex]

p = 45 - 2.5f

Jacob is showing his steps to solve the expression −27.8 ÷ 1 over 7.

In which step did Jacob make an error?

Step 1: −27.8 ÷ 1 over 7
Step 2: −27.8 ⋅ 7

Step 3: −194.6

Answers

There is no error, Jacob did everything correctly

I know it’s late but is anybody here

Answers

Answer:

b is 0

Step-by-step explanation:

yes, i am here :)

Answer:

Equation: y = [tex]\frac{1}{2}x[/tex]

m = [tex]\frac{1}{2\\}[/tex]

b = 0

Type of Slope = Positive linear slope

We are here for you m8.

Kylie has $2.10 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Kylie has.

Answers

Answer:

Kylie has 6 Nickels and 18 dimes

Step-by-step explanation:

Variable definitions:

x=the number of nickels

y=the number of dimes

One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:

0.05x + 0.10y = 2.10

Since she has a total of 24 coins, we know x+y must equal 24.

x + y = 24

Write System of Equations:

0.05x + 0.10y = 2.10

x + y =  24

Solve for y in each equation:

0.05x + 0.10y= 2.10         x + y = 24

0.10y = 0.05x + 2.10         y = -x + 24

0.10y = -0.05x + 2.10

0.10                0.10                

  y = -1/2x + 21

The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:

Kylie has 6 Nickels and 18 dimes

We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.

Finding the system of equations:

First, let's define the variables, we will use:

x =  number of nickelsy = number of dimes.

We know that there are 24 coins, then:

x + y = 24

We know that the total whort of the coins is $2.10, then:

x*$0.05 + y*$0.10 = $2.10

Then the system of equations is:

x + y = 24

x*$0.05 + y*$0.10 = $2.10

Solving the system of equations.

Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:

We can see that the intersection is at the point (6, 18)

So this means that she has:

6 nickels and 18 dimes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Can you please help me with the questions I will give you brainliest.

Answers

Answer:

C the First page

Step-by-step explanation:

1) you input the 2 into the T So the equation would look like this

15+2.5*(times) 2

2) I'm not sure for the second

3) A because you are using the number given then multiplying.

1.58* times 5 = 7.5

But the starting number would be 1.5 sense that's  the first number given

No one report me please.

The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.

Answers

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]

Child #2

[tex]x=2*9=18yrs[/tex]

Child #3

[tex]y=12+r=12+9=21yrs[/tex]

Child #4 (oldest)

[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]

Fact Check:

[tex]9+18+21+23=71[/tex]

Factor 6x^2 - X - 2

Answers

(2x+1) x (3x-2)
Is the answer

What is the slope of the line? (Picture)

Answers

Answer:

-1/3

Step-by-step explanation:

its rise over run.

u rise 2, and run 6 and its a negative slope

when you simplify its then -1/3

Answer:

[tex]m = -\frac{1}{3}[/tex]

Step-by-step explanation:

Using the slope formula:

            y2 – y1

m   =   --------------

            x2 – x1

Plug in any two points that the line passes through:

In this case, (2, 0) and (–1, 1).

              1 – 0

m   =   --------------

            –1 – 2

                 1

m   =   --------------

               –3

please help
thanks in advance

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

EMERGENCY! PLEASE ANSWER ASAP! ​

Answers

Answer:

It looks like you can keep the same nad just add the exponents

Step-by-step explanation:

plzz mark brainliest

I will make you brainlliest and give you some points please help me i need help.
Thanks:)!!


Simplify -9(10 + 2).

-88
-72
-92
-108

Answers

Answer:

-108 is the correct answer

Step-by-step explanation:

=-9(10+2)

=-90+(-18)

=-90-18

= -108

Answer:

It's D or -108 (✿◠‿◠)

Identify all sets to which this number belongs: 6.14

Natural, Whole, Integer, Rational
Whole, Integer, Rational
Integer
Rational
Irrational

which one? please help!

Answers

Answer:

6.14 is Rational only

A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the circumference of the circular base of the cone and = 120°. Find:

a. the angle between [A F] and the base of the cone

Answers

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A[tex]\hat O[/tex]C = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

Find the slope of a line parallel to the given line.

Answers

The slope would be the same as the equation. So 8/5 is your answer

Kiera and Trina joined a gym. The gym offers two different payment plans. Kiera chose Plan 1 and pays $25 a month and no fee to join. Trina chose Plan 2 and pays $10 a month, plus a $100 joining fee. Which equation models Kiera’s total payments, t1, and Trina’s total payments, t2, after m months?

Answers

Answer:

t1 = $25m

t2 = $(10m + 100)

Step-by-step explanation:

Here we want to write equations

Kiera chose plan 1

$25 monthly and no joining fee

So the amount after m months will be 25 * m

t1 = $25m

Trina chose plan 2

$10 a month and $100 joining fee

after m months , total payment will be

10(m) + 100 = $(10m + 100)

Thus t1 = $25m and t2 = $(10m + 100)

Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?

Answers

8000 hope dis helps my boii

I need help please its due tmrw and i have her first period.

Answers

Answer:

hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points

Answers

Answer:

yes

Step-by-step explanation:

10x10=6x6 + 8x8

100= 36 + 64

Pythagoras theorem

in simba the temperature was 6°c in the morning on a particular day . What was the temperature during the night if it further dropped by 9°c​

Answers

Given parameters:

Simba temperature in the morning  = 6°C

Temperature drop = 9°C

Unknown:

Temperature during the night = ?

Solution:

 Since the temperature in the morning is given;

 Temperature at night  = Morning temperature  - drop in temperature

  Temperature at night = 6°C - 9°C = -3°C

The temperature at night is  -3°C

       

Numbers equivalent to 15 divided 12

Answers

[tex]{Hello!\;your\;answer\;is>>>}[/tex]  [tex]\huge\boxed{1.25}[/tex]

[tex]We\;have\;the\;equation\;below...[/tex]

[tex]\boxed{15\;Divided\;By\;12=\;(?)}[/tex]

[tex]The\;number\;equal\;to\;this\;is\;\boxed{1.25}[/tex]

[tex]\boxed{Hope\;i\;helped!}[/tex]

 

Number equivalent to 15/12 is 1.25 .

Given,

15 divided 12

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

15/12

=5/4

= 1.25

Hence the answer is 1.25

Know more about division,

https://brainly.com/question/28281492

#SPJ6

someone plz help me on this , (-8)(7)

Answers

Answer:

-56

Step-by-step explanation:

Assuming this is negative 8 times 7 the answer is -56 because one negative times one positive is always a negative answer.

Answer:

-56

Have a nice day pls rate me and like.

: )

Write the word sentence as an equation. Then solve.

The product of 15 and a number x is −75.

Equation:

Solution: x=

Answers

Answer:

As an equation: 15 × x = -75

Solved: x = -5

Step-by-step explanation:

15*x = -75

[tex]\frac{15*x}{15}[/tex] = [tex]-\frac{75}{15}[/tex], Divide by 15 on both sides to solve for x

x=[tex]-\frac{75}{15}[/tex], The 15 in the numerator cancels out with the denominator

x= -5, because 75/15=5

Equation: (-5)(15) = -75

Solution : (x)(15) or (written as, x times 15 )= -75
For x= -5 ( substitute x into -5)
(-5)(15) or written as, negative 5 times 15= -75

find the measure of the indicated side

Answers

Answer:

360 is a triangle

360-90=270

270÷2=135

List all the factors of 45 from least to greatest. Enter your answer below using a comma to separate each number

Answers

Answer:

So, the factors of 45 are 1, 3, 5, 9, 15, and 45.

Step-by-step explanation:

in which quadrant does (-3, -1.5) and (-3, 8.5) lie?

Answers

Answer:

The first one would be the third one and the second one would be the second one.

Step-by-step explanation:

The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)

what is the decimal multiplier to increase by 2.5%

Answers

%100 x 2,5 is the answer
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