Two expressions are shown below: A. 5(4 + 9) B. 29 + 36 Explain why Expression A is equivalent to Expression B. Use a property of operation in your answer.

Answers

Answer 1

Answer:

The two expressions A and B are equivalent because the value of both expressions is same.

Step-by-step explanation:

Given: Expression A is 5(4+9) and expression B is 29+36.

To find: The reason why expressions A and B are equivalent.

First we solve expression A.

[tex]5(4+9)=5*4+5*9[/tex]          (using [tex]a(b+c)=a*b+a*c[/tex])

⇒[tex]5(4+9)=20+45[/tex]

⇒[tex]5(4+9)=65[/tex]

Now we solve expression B.

[tex]29+36=45[/tex]

Clearly, the value of both the expressions is same.

Hence, the expression A is equivalent to expression B.


Related Questions

13x + 2 = 41
List the steps to fom 13x + 2

Answers

Answer: 13x + 2 = 41 = 3

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

13x+2−2=41−2

13x=39

Step 2: Divide both sides by 13.

13x

13

=

39

13

x=3

Substation method
3x + 4y=-22
7x+y=7

Answers

Answer:

(2, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Subtract 7x on both sides:                    y = 7 - 7x

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Substitute in y:                        3x + 4(7 - 7x) = -22Distribute 4:                             3x + 28 - 28x = -22Combine like terms:                -25x + 28 = -22Subtract 28 on both sides:     -25x = -50Divide -25 on both sides:       x = 2

Step 5: Solve for y

Define equation:                     7x + y = 7Substitute in x:                        7(2) + y = 7Multiply:                                   14 + y = 7Subtract 14 on both sides:      y = -7

I'm not sure how to find x​

Answers

To answer this, add all of those angles. A triangle’s angles equal to 180. Then, combine like terms and solve.
5x - 40 + 3x + 2x + 20 = 180
10x - 20 = 180
10x -20 + 20 = 180 + 20
10x = 200
10x / 10 = 200 / 10
x = 20

hope that helps!! if you need any more help please comment and link ur question :)

Nikos paid $22,500 for a new car. Over the next 3 years the value of his dropped $3750. How much did the value of the car drop each year on average?

Answers

Answer:

about $1250 per year.

Rodrigo is buying snacks for a party he bought 2 1/5 pounds of mixed nuts

Answers

Answer:

She spends about 12.45 on the nuts.

Step-by-step explanation:

2/3(7.50)+1/2(2.40)+1 1/4(5.00)

Answer:

4.75

Step-by-step explanation:

2 1/5= 11/5= 2.2 pounds

10.45 / 2.2 = $4.75

PLEASE HELPP ASAP



​Triangle A′B′C′​ is a dilation of ​triangle ABC​ .


What is the scale factor?

Enter your answer in the box.

Answers

Answer:

1/2

Step-by-step explanation:

the triangle is half the size of the orgional.

What is the value of x in the equation Negative two-fifths x minus 2 = 18?
–50
–40
–8
–6

Answers

Answer: 50

Explanation: 2/5x - 2 = 18

Divide the fraction to make a decimal
2 ÷ 5=0.4

0.4x-2=18

0.4x=20 Add 2 to 18

20 ÷ 0.4=x Divide 20 by 0.4 to get x

x=50


Answer:

50

Step-by-step explanation:

5. (0,0) and (-2,-8) Slope=_ Equation=_​

Answers

You’re slope would be 4. And you’re slope equation would be y=4x

SAS, SSS, ASA, OR there is not enough information to determine congruence. please answer this asap !

Answers

There’s not enough info — you only have SS.

PLEASE HELP ASAP I AM WILLING 10 points



You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for NET PAY for this pay period was $

Answers

Answer:

240.62$

Step-by-step explanation:

$9.75 per hour

30 hours

Total earned: 292.5$

Federal income tax (withholding) at 10% --> 29.5$

Social Security tax at 6.2% --> 18.14$

Medicare tax at 1.45% --> 4.24$

292.5 - all taxes = 240.62$

50 points please help!!!

Answers

Answer:

the answer would be B.

Step-by-step explanation:

it's the correct answer

Answer:

A

Step-by-step explanation:

I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers

READ

10 times

100 times

600 times

Or

1000 times


50 points and brainlist

Answers

Answer:

100 times

Step-by-step explanation:

100 times

please is 100 times

Someone pls help me pls!!!

Answers

Answer:meh

I don’t know

Step-by-step explanation:

I don’t know SHANANSIZT SJEHSGSVSB

How many terms are there in the following expression:
3x + 2y + 8 - x +7y
there are terms in the expression.

Answers

3 terms

when you combine like terms you are left with 10x + y + 8 which is 3 terms.

Why do you think the Court ruled differently in New York Times Co. v. United States (1971) than it did in Schenck v. United States (1919)? Consider differences in the ideological composition of the Court and public opinion towards the wars.​

Answers

Answer:

The case reached the Supreme Court in June 1971. The Supreme Court has, at times, ruled that the government can restrict speech that presents a “clear and present danger.”

2
Solve the equation for b. *
(50 Points)
12 = 6 (8) + b
Enter your math answer

Answers

Answer:

B=-36

Step-by-step explanation:

First, do 6(8), which equals 48

The you subtract 48 from both sides, which leaves you with:

-36=B

Answer:

b is equal to negative thirty-six.

Step-by-step explanation:

You can solve this by first multiplying the six and the eight.  Eight times six is equal to forty-eight.  You can then subtract that forty-eight from both sides, leaving you with the expression b = -36:

[tex]12 = 6(8) + b\\12 = 48 + b\\12 -48 = 48 + b - 48\\-36 = b\\b = -36[/tex]

URGENT! I'm not quite sure if it's either C or D...Can someone please help me?​

Answers

D because if there’s a margin of error it’s between 19 and 27 percent. C just doesn’t make sense

three hundred x 3 hundred 300x300

Answers

Answer:

81,00000000

Step-by-step explanation:

Hope this Helps! :)

Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).

Which of the polynomials below represents the answer written in standard form?

Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2

Answers

Answer:

The polynomials that represents the answer is -2x² - x + 14 a

Step-by-step explanation:

Let us solve the question

∵ The expression is 3(x + 2) - 2(x² + 2x - 4)

→ Multiply each bracket by the number before it

∵ 3(x + 2) = 3(x) + 3(2)

3(x - 2) = 3x + 6

∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)

∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)

→ Remember (+)(-) = (-)

2(x² + 2x - 4) = 2x² + 4x - 8

∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)

→ Multiply the (-) by all the terms in the 2nd bracket

∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8

→ Add the like terms

∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)

∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14

∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14

The polynomials that represents the answer is -2x² - x + 14

I don’t get this at all please help!!

Answers

Answer:

I can't this type of mathematics

Answer:

29) x = 12

30) x = 6

31) x = -4

32) x = 5

Not sure if the degree symbol is needed for the answer.

Step-by-step explanation:

Apply angle sum of triangles to all 4 questions.

29) (3x + 4) + 50 + 90 = 180 i.e. x = 12

30) (8x + 7) + 35 + 90 = 180 i.e. x = 6

31) 64 + 65 + (x + 55) = 180 i.e. x = -4

32) 70 + 35 + (14x + 5) = 180 i.e. x = 5

Rick is planting a garden in the shape of a semi-circle. He wants to pour top soil over the garden. Approximately how many square feet does he need to cover in soil?

Answers

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

Slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4

0.75(8+e)=2-1.25e
Solve for e please

Answers

Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

Draw lines to match each equation on the left to its number of solutions on the right.​

Answers

Answer:

1) The equation [tex]2(4x-1)=-8x-2[/tex] has one solution

2) The equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions

3) The equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.

Step-by-step explanation:

We need to solve the equation and match with its solution.

1) [tex]2(4x-1)=-8x-2[/tex]

Solving and finding value of x:

[tex]2(4x-1)=-8x-2\\8x-2=-8x-2\\8x+8x=-2+2\\16x=0\\x=0[/tex]

So, We get x =0

So, the equation [tex]2(4x-1)=-8x-2[/tex] has one solution

2) [tex]2(4x-1)=8x-2[/tex]

Solving the equation and finding value of x:

[tex]2(4x-1)=8x-2\\8x-2=8x-2\\8x-8x=-2+2\\0=0[/tex]

So, We get 0 =0

So, the equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions

3) [tex]-2(4x-1)=-8x-2[/tex]

Solving the equation and finding value of x

[tex]-2(4x-1)=-8x-1\\-8x+2=-8x-2\\-8x+8x=-2-2\\0\neq -4[/tex]

So, we get 0 ≠ -4

So, the equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.

HELP WHAT EQUATION MATCHES THE GRAPH? PLEASE HELP ME​

Answers

Step-by-step explanation:

I think no. c is correct

if it helps you then plzz mark me brainliest

PLEASE HELP END OF 1/4 TODAY!!!!!!!!!

The ratio of skiers to snowboarders is 5 to 2. If 210 skiers rode the chairlift in the last hour, how many snowboarders rode the chairlift during that same time?
[A] Write a proportion that is defined by this situation.
[B] Explain how the reciprocal property can be used to solve the problem.
[C] Answer the question.

Answers

Answer:

22

Step-by-step explanation:

The answer is 22. Hope this helps

Apply the distributive property to create a equivalent expression 1/2 (6e - 3f - 3/4) =

Answers

Answer:

it should be 3e-3/2f=3/8

Step-by-step explanation:

you will multiply 1/2 to everything in the parenthesis

Answer:  The answer is 3e - 3/2 - 3/8  [No spaces] Step-by-step explanation: 1/2(6e-3f-3/4) = (1/2 x 6e) + (1/2 x -3f) + (1/2 x (-3/4)) = 3e + (-3/2f) + (-3/8) = 3e - 3/2f - 3/8 1/2 (6e - 3f - 3/4)

= 3e - 3/2f - 3/8

Graph the following inequalities: a. × + y > 4 b. y + 5× ≤ 4​

Answers

Answer:

Look at the graphs attached

Step-by-step explanation:

The first graph is for a).

Second is for b)

I recommend you use DESMOS to help visualize the graphs :)

What is the value of cos A in the triangle above?
А.
В.
С.
cos A = 0.5
COSA = 1
COSA x 0.707
cannot be determined without side lengths
D
Mark this and return
Save and Exit

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

took test got right

(4x−3)(3x+6) how can i find the terms

Answers

Step-by-step explanation:

(4x-3)(3x+6)

4x(3x+6)-3(3x+6)

12x+24-9x-18

12x-9x+24-18

3x+6

x=6/3

x=2

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal

Answers

Answer:

a

Step-by-step explanation:

because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝

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