Are the expressions 4a+(5a+3c) and (4a+5a)+3c equivalent? If so, determine what property can be applied to determine that they are equivalent.

Answers

Answer 1

Answer:

Yes, they are equivalent expressions, by the Associative Property

Step-by-step explanation:

Both of these expressions are equal to:

4a + 5a + 3c

(and then, 9a + 3c)

This is all adding so you can add them all up without any of the parentheses. In the question at first the parentheses are grouping together the 5a and 3c, but in the second expression they are wrapped around the 4a and 5a. But in both expressions the order of the three terms does not change. Only the grouping changes. The terms are grouped differently, but the order DOES NOT change. This is Associative property. If the order changes it is Commutative property.


Related Questions

(PLEASE HURRY! WILL AWARD BRAINLIEST)
Find the value of x to the nearest tenth. Show your work.

Answers

8.3/6.7=x/11.6
Cross multiply and you get 6.7x=96.28
Solve and you get 14.3701
Then you round to the nearest 10th so your answer is 14.4 for the missing length

Hello i need help with my assignment thank you in advance and i know you deserve the point

Answers

Answer:

1) a = 51, 2) b = 57, 3) c = 53, 4) e = 49 d = 131, 5) f  = 33, 6) g = 79, 7) h = 42 j = 47, 8) m = 59 k = 17 i = 104, 9) n = 55

Step-by-step explanation:

1.

You see that angle HJK has a total degree angle of 115, half of the angle is already stated to be 64 degrees, so you would just have to find the remainder. 115 - 64 = 51

2.

The question follows the same format, when you see the square in the corner it generally means that it is a 90-degree angle.  So following the same steps as last time angle b would be 90 - 33 = 57

3.

Whenever there is a flat line given the angle is equal to 180 degrees, think of it as putting two 90 degree angles back to back. So if they equal 180 angle c would equal 180 - 127 = 53

4

This question is just a little different when you see crossing perpendicular lines angles across from each other equal the same amount, so angle d would be 131. Finding angle e is not hard either, back to question 3 for when it was just a straight line the same logic can be applied here. e would equal 180 - 131 = 49

write 7 7/8 as a improper fracton

Answers

Answer:

63/8

Step-by-step explanation:

(7x8) + 7 = 63
keep the same dinominator

Answer: it would be 63/8 as an improper fraction

Step-by-step explanation:

Help me out please! CORRECT PLEASE i will mark brainliest

Answers

Answer:

the answer for 2 is given answer for 1 is  trans prop of answer for 3 is knl and answer for 4 is  nkl

Step-by-step explanation:

help PLEASEEE
Given that Segment AD=29, AE=21 and CE=99, find the indicated measures for x, y, and perimeter of kite ABCD.

Answers

Answer:

DE = BE = x

x = 29² - 21²

= √400

= 20

x = 20

y = 20² + 99²

= √10201

= 101

y = 101

perimeter of kite ABCD : 29 + 29 + 101 + 101

= 260

Pls answer this line problem

Answers

Answer:

2 1/4

Step-by-step explanation:

how am i supposed to explain this (wait until someone else answers aswell im not that smart)

PLEASE HELP i have been on this question forever

Answers

Answer:

1520.5

Step-by-step explanation:

The area of a circle is pi times r^2. r stands for radius. r, which is 22 squared is 484, Multiply that with pi and you have your answer.

Answer:

The area of circle is 1520.5 in².

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large{22\ in}}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the area of circle :

[tex]\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}[/tex]

A = Area π = 3.14 r = radius

Substituting all the given values in the formula to find the area of circle :

[tex]{:\implies{\tt{A_{(Circle)} = \pi{r}^{2}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22)}^{2}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22 \times 22)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(484)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14 \times 484}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 1520.53}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} \approx 1520.5}}}[/tex]

[tex]{\star{\boxed{\tt{A_{(Circle)} \approx 1520.5 \: {in}^{2}}}}}[/tex]

Hence, the area of circle is 1520.5 in².

[tex]\rule{300}{2.5}[/tex]

Solve the system of equations.
3x – 1ly = -1
-
2x – 5y = -3
-
X =
y =

Answers

Answer:

I still tried to find the answer but your gonna need to move it in a way that people can understand

Step-by-step explanation:

Which is the quotient of 15 divided by 4?

Answers

Answer: 4

Step-by-step explanation:

4 goes into 15 three times with remainder 3

The quotient is the number that comes out of division

Therefore, the quotient is 4

School yearbooks cost $23. Fifty-six yearbooks have already been sold. How many more yearbooks x must be sold to earn at least $2001? Write your answer as an inequality.

Answers

Answer:

x [tex]\geq[/tex]  31

Step-by-step explanation:

Total number of the yearbooks is 56 + x

Total money earned is 23*(56 + x)

so 23*(56 + x) [tex]\geq[/tex] 2001

56 + x [tex]\geq[/tex] 2001/23 = 87

x [tex]\geq[/tex] 87 - 56 = 31

Answer: x [tex]\geq[/tex]  31

please help me with this please

Answers

Answer:

3

……………………………………………………………………

Answer:

The answer is 3

Step-by-step explanation:

How many 3 inch segments are in a line 120 inches long

Answers

Answer:

40 segments

Step-by-step explanation:

Divide the 120 inches into 3 inch segments, it gives you 40 3 inch segments

Use intercepts to graph the linear equation 5x+3y=30 .
Identify the points corresponding to the intercepts.

Answers

Answer: (6, 0) (0, 10)

Step-by-step explanation:

Intercepts occur when the axis is crossed, which is when the other axis is at 0. Plug in 0 for x & y. 5x + 0 =30 means x = 6. 3y + 0 =30 means y is 10.

Jessica wants to build a display shelf similar to the diagram below. She knows that AABC is similar to A ADE. Using the dimensions on the diagram, what will be the length of the shorter shelf (x) in inches? ​

Answers

Step-by-step explanation:

similar ∆les have sides ratio

de/bc = ad/ab

x/12 = 6/16

x=9/2

Solve the equation.


-5/7 ● -21/55

Answers

Step-by-step explanation:

Multiply:

[tex] \frac{ - 5}{7} \times \frac{ - 21}{55} = \frac{105}{385} [/tex]

Divide each side by 35:

[tex] \frac{105 \div 35}{385 \div 35} = \frac{3}{11} [/tex]

Your simplified product is 3/11.

Simplify the following without a calculator ( a) √3 × √3 (b)( 2√7)² (c) 3√6 × 4√6

Answers

I hope this helps you :)
a)/3x/3=/9=3
b)(2/7)^2=4x/49=4x7=28
c)3/6x4/6=12/36=12x6=72

We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."

Answers

20 percent, 150x0.2=30 150-39 is 120, so 20% off.

PLEASE HELP ASAP! These two triangles are similar. Solve for X.

Answers

Answer:

Y= 13 x=10

Step-by-step explanation:

12x13x5= 780

6x13x10= 780

Pls help in need
All appreciation​

Answers

The answer is X= 1/2, -5

1. Ms. Hogan and Ms. Brantley believe that less than 30% of students at Olympia High School completed their math homework last week. They enlist the help of all the math teachers and select a random sample of students and determine the percentage of those who completed their homework last week. 2. A company claims they have a diagnostic test that can detect cancer 90% of the time for those who have cancer. 150 people who have been diagnosed with cancer are given this diagnostic test. 108 of the individuals is identified as having cancer. Does this study provide convincing evidence that percentage of those diagnosed by this test is different than the company claims

Answers

Answer:

Yes

Step-by-step explanation:

Number 1 isnt asking a question.

2. If you divide 108/150= 0.72%

That is 18% percent off from what they claim which is quite a bit. Im not sure what is considered the "close enough" percentage but 18 is definitely more.

What is 19 and 2/10 decided by 1 and 6/10

Answers

if you mean divided, it is 12

Grandma Millie is shrinking! Her height decreases by \dfrac{1}{4} \text{ cm}
4
1

cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text each year.
What is her total change in height over 333 years?

Answers

Answer:

83.25 cm

Step-by-step explanation:

1/4(x) cm

x= time

1/4(333)

or 333/4

her height changes

83.25 cm

Function g is defined as
g(x)=f (x + c). What is the value of c?

Answers

Answer:

c= gx/f -x

Step-by-step explanation:

You're Welcome haha

PLEASE HELP FAST!!!!!

Bacchus bought 7 pounds of grapes for $3.43. What was the price for 1 pound of grapes?
Group of answer choices

$0.49

$0.46

$0.50

Answers

3.43 / 7 = 0.49 so the answer is $0.49

Expand to write an equivalent expression: -1/2(-2x+4y)

Answers

Answer:

x-2y

Step-by-step explanation:

distribute the -1/2

(-2x/-2) + (4y/-2)

3^2y-1 = (9)(27)^y-2 calculate the value of y

Thank you

Answers

Answer:

y = 3

Step-by-step explanation:

3^2y - 1 = (9)(27)^y - 2

3^2y-1 = 243^y - 2

log(243)/log(3) = 5

2y - 1 = 5(y - 2)

2y - 1 = 5y - 10

-5y      -5y

-3y - 1 = -10

     + 1    +1

-3y = -9

-3      -3

y = 3

Multiply: 1 1/6 x 6/11 =

Answers

Solution:

To solve a mixed fraction multiplication problem, you must:

Convert the fractions into improper fractions. (If the fractions are proper, you can skip this step.)Simplify the fractions If possible. (If it is not possible, you can skip this step.)Multiply the fractions (numerator with numerator and denominator with denominator).

After reviewing how to multiply an improper fraction, let's solve the multiplication problem.

1 1/6 x 6/11=> (6 + 1)/6 x 6/11 [According to step 1]=> 7/6 x 6/11 => 7/1 x 1/11 [According to step 2]=> 7 x 1/11 x 1 [According to step 3]

The solution to the multiplication problem is 7/11.

[tex] \bf \nrightarrow \: 1 \frac{1}{6} \times 6 \frac{6}{11} [/tex]

Convert the mixed fraction to improper fraction by Multiplying the denominator with the integer and adding the numerator to the product of denominator and integer

[tex] \sf \underbrace{1 \frac{1}{6} = \frac{7}{6} }[/tex]

Now, Multiply the fractions

[tex] \bf \: \frac{7}{6} \times \frac{6}{11} [/tex]

Multiply the numerators and denominators

[tex] \bf \nrightarrow \: \frac{7 \times \cancel 6}{ \cancel6 \times 11} [/tex]

[tex] \boxed{ \sf \: ans \multimap \: \frac{7}{11} }[/tex]

5. The science class is raising monarch caterpillars.
One of the caterpillars weighs 2.3 ounces.
About how many grams does the caterpillar
weigh? Round to the nearest tenth.

Answers

Answer:

  65.2 g

Step-by-step explanation:

1 ounce is approximately 28.35 grams. So, 2.3 ounces is ...

  (2.3 oz) × (28.35 g/oz) ≈ 65.2 g

The caterpillar weighs approximately 65.2 grams.

_____

Additional comment

The exact conversion is 1 oz = 28.349523125 g. For a 3-significant figure answer, we only need a conversion factor accurate to 4 significant figures.



Work out the value of
(9 x 10^-4) x (3 x 10^7)
Give your answer in standard form.

Answers

Answer:

2.7 x 10^4

Step-by-step explanation:

There are 25 students and one teacher in class. After an exam, everyone high-fives
everyone else to celebrate how well they did. How many high-fives were there?

Answers

Answer:

300

Step-by-step explanation:

I think it will be 300 because

People High-Fives

2. 1

3. 3

4. 6

5. 10

6. 15

7. 21

8. 28

9. 36

10. 45.

There fore 10 people's high five will be 45 keep repeating and finding out the high fives I got 300 but I'm not sure if it's correct

The required number of high fives is 300.


Given that,
There are 25 students and one teacher in the class. After an exam, everyone high-fives everyone else to celebrate how well they did. How many high-fives were there is to be determined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
There are 25 students
n = 25
For each high five, there would be at least 2 students,
r = 2

The number of high five is given by combination,
= 25 C 2
= 25 * 24 / 2
= 600 / 2
= 300

Thus, the required number of high fives is 300.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2


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