Which expression would be easier to simplify if you used the commutative property to change the order of the numbers? A. 30+(-12)+70 B. -10 +(-20) + 1/2 C. 60+40+(-25)

Answers

Answer 1

Answer: A

Step-by-step explanation:

Ok, some that we always try to do in math is to look for "nice" numbers.

The nice numbers are numbers that are easy to work with.

Examples of these are numbers like 10, 100, etc.

suppose the next example:

9 + 3 + 1 + 7

That may seem a long addition, but we can rearange the numbers in such a way to get:

(9 + 1) + ( 3 + 7) = 10 + 10 = 20

This is specially useful when doing mental calculus.

In the given options, we have:

A) 30 + (-12) + 70

Doing it straightforward, we must:

Subtract 12 from 30, which will give us a not nice number.

30 - 12 = 18

And now add 70 to that:

18 + 70 = 88.

Now, we could use the commutative properety and get:

30 + (-12) + 70 = 30 + 70 + (-12)

in this way, in the first addition we get to 100, and then we subtract 12 units.

(30 + 70) + (-12) = 100 - 12 = 88.

Then the correct option is A.


Related Questions

I’m begging someone to pleaseeee helppp I don’t get it and it’s for a grade :/

Answers

Given that y is directly proportional to x.

[tex] \sf y \propto x[/tex]

[tex]\longrightarrow \sf y = k \times x[/tex]

[tex]\\[/tex]

At first, we must find the value of k.

We have a relation given between 'x' and 'y' (that is, when 'x' is 75, 'y' is 60). We can call that Case - 1.

[tex]\sf 60 = k \times 75[/tex]

[tex]\longrightarrow \sf k = \dfrac{60}{75}[/tex]

[tex]\longrightarrow \sf k = \dfrac{4}{5}[/tex]

[tex]\\[/tex]

Now, we have to find 'x' when 'y' is 480. We can call that Case - 2.

[tex]\sf y = k \times x [/tex]

We are having the value of 'y' and 'k'.

[tex]\longrightarrow \sf 480 = \dfrac{4}{5} \times x[/tex]

[tex]\longrightarrow \sf x = 480 \times \dfrac{5}{4}[/tex]

[tex]\longrightarrow \sf x = 120 \times 5[/tex]

[tex]\leadsto \underline{\boxed{\sf {\pink{x = 600}}}}[/tex]

James made a total of $60 mowing lawn. He charges $12 per lawn. How many lawns did he mow?

Answers

Answer:

James mowed 5 lawns.

Step-by-step explanation:

60/12 = 5.

Use the reflexive property of congruence to complete the following statement.

Help

Answers

The reflective property is that an angle is always equal to itself so angle S is congruent to angle S

Martin earns $7.50 per hour proofreading ads at a local
newspaper. His weekly wage w can be described by the
equation w = 7.5h, where h is the number of hours worked.

Answers

w(15) = 112.5
w(25) = 187.5
w(20) = 150

hope this helps! :)

PLEASE HELP!!

The summer fair charges a $25.00 entrance fee and $2.50 per ride.
Create and solve an equation to determine the greatest number of rides can you go on if you only
have $45.00.

Answers

Answer:

25.00 + x(2.50)=45.00

25+2.50x=45
-25 -25
———————-
2.50x=20
——— ———-
2.50 2.50
x=8

Therefore, you can go on 8 rides.

Hope this helps!!

Which statement about this mapping is true?

see chart below.

x y
0 1
2 2
4

The mapping does not represent y as a function of x, because 1 x-value is related to 2 y-values.

The mapping does not represent y as a function of x, because there are more x-values than related y-values.

The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

The mapping represents y as a function of x, because each y-value is related to exactly one x-value.
PLEASE HURRY ILL MAKE BRAINLIEST!!!!

Answers

Wait what’s the answer channel
I think it’s D not sure tho

What is the value of the rational expression x/x2 -9 when x=-3

Answers

Answer:

-7

Step-by-step explanation:

Pls give Brainliest!

EASY 10 POINTS PLEASE HELP

Answers

Answer:

the answer is

x=8

Step-by-step explanation:

Simple question, winner gets a prize!
A pool has a walkway around it that is a width of 4 1/2 feet all the way around! The length is 100 feet and the side length is 30 feet, what is the area of the walkway? Work must be shown if there is more than one answer. :)

Answers

Answer:  OK two different answers.

If the dimensions of the pool are 100 × 30, and the sidewalk is outside that, the area of the sidewalk is 1251 square feet.

If the outside dimensions of the sidewalk are 100 × 30, and the pool is inside that, the area of the sidewalk is 1089 square feet.

Step-by-step explanation:  Solution #1: Sidewalk outside 100×30 pool.

The sidewalk is 4 1/2 feet wide, so twice as wide all together.

The outside ends of the sidewalk are added to the pool dimensions.

100 + 9 = 109   30 + 9 = 39  

The overall area: Multiply 109 × 39 = 4251 ft²

Find the area of the pool 100 × 30 = 3000 ft²

Subtract the area of the pool from the overall area 3000 - 2451 = 1251

1251 square feet is the area of this sidewalk

Solution #2:  Pool inside 100×30 sidewalk.

The sidewalk is 4 1/2 ft wide so the pool will be 9 feet shorter in length and width,

100- 9 = 91  and  30 - 9 = 21    The area of this pool is  91 × 21 = 1911 ft²

The overall area is 100 × 30 = 3000 ft²

Subtract the pool's area from the overall area

3000 - 1911 = 1089

The area of this sidewalk is 1089 square feet

A partir de la sucesión: -3, -6, -9, -12, -15, ... a) ¿Cuál es el número que se localiza en la posición 20? b) ¿Cuál es el número que se localiza en la posición 150? c) ¿Cuál es la regla general de la sucesión? d) ¿Cuál es el número que se localiza en la posición 528?

Answers

Answer:

a) -60

b) -450

c) Esta es una secuencia aritmética

La fórmula se da como:

an = a1 + (n -1) d

Donde a1 = primer término

d = diferencia común

n = enésimo término

d) -1584

Step-by-step explanation:

De la secuencia: -3, -6, -9, -12, -15, ...

Esta es una secuencia aritmética

La fórmula se da como:

an = a1 + (n -1) d

Donde a1 = primer término

d = diferencia común

La diferencia común para la secuencia anterior es:

Segundo término - Primer término

= -6 - (-3)

= -6 +3

= -3

Primer término = -3

a) ¿Cuál es el número que se encuentra en la posición 20?

Se nos pide que encontremos el término 20

a20 = -3 + (20 - 1) -3

= -3 + (19) -3

= -3 -57

= -60

b) ¿Cuál es el número que se encuentra en la posición 150?

Debemos encontrar el término 50

= a150 = -3 + (150 - 1) -3

= -3 + (149) -3

= -3 -447

= -450

c) ¿Cuál es la regla general de sucesión?

Esta es una secuencia aritmética

La fórmula se da como:

an = a1 + (n -1) d

Donde a1 = primer término

d = diferencia común

n = enésimo término

d) ¿Cuál es el número que se encuentra en la posición 528?

Debemos encontrar el término 528

= a528 = -3 + (528 - 1) -3

= -3 + (527) -3

= -3 - 1581

= -1584

Estimate the difference of 19.7 - 6.9

Answers

the answer to this is 12.8

Answer:

13

Step-by-step explanation:

19.7-6.9= 12.8=13

4/5 of the money collected from a fundraiser was divided equally among 8 grades. What fraction of the money did each grade receive?

Answers

Answer:

1/10

Step-by-step explanation:

do 4/5 divided by 8

Emily is solving the equation 2(x+9)=4(x+7)+2. Her step are shown.

Click on the first step in which Emily made an error.

A. Step 1: 2(x+9)=4(x+7)+2
B. Step 2: 2x+18=4x+28+2
C. Step 3: 2x+18=4x+26
D. Step 4: -8x=2x
E. Step 5: -4=x

Also explain why answer B is wrong. <3

Answers

Answer:

C. Step 3: 2x + 18 = 4x + 26

Step-by-step explanation:

Step 1: Write equation

2(x + 9) = 4(x + 7) + 2

Step 2: Solve for x

Distribute: 2x + 18 = 4x + 28 + 2Combine like terms: 2x + 18 = 4x + 30

Here we see that Emily made a mistake here. Instead of adding 2 to 28 and getting 30, Emily subtracted 2 from 28 to get 26. Hence, our answer should be C.

WILLMAKE U BRAINLIEST!!1
what is −9.898979486 as a radicl?

Answers

Answer:

You cant make that a radical without an expression


Reagan is making an exact copy of angle R on the ray CD. What MUST be true?
PHOTO ABOVE

HELP!!! I’ll give u a kiss

Answers

Answer:

X is the same distance from C as W is from R.

Step-by-step explanation:

i dont know the step by step explanation but i know the answer, because i got it right:)

What’s the product of 0.056 • (-0.004)?? ​

Answers

Answer:

−0.000224

Step-by-step explanation:

1. Solve for x
5x
2x+24

2. Solve for X
(x+16)
(4x-5)

if anyone can help i would appreciate it sm <3

Answers

Answer:

vv

Step-by-step explanation:

vcsdg bbhhddhhhgfv vghjfdy

Answer:

1) answer is 7

2) answer is 8

Move the numbers to the blanks to order them from least to greatest value.
0.4
|-2|
-0.89
1/2
9/8

Answers

answwer: -0.89, 1/2, |-2|, 0.4, 9.8

Take these points! But plz answer my other question which is not hard I just want to know what the question is trying to say!:


https://brainly.com/question/18718770

Answers

Answer:

I've Helped! :)

Answer:

thank you so much

Step-by-step explanation:

Triangle D'E'F' was formed after triangle DEF was translated 2 units to the right and 4 units up. Before the translation, what was the location of vertex E?

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation

If a point X(x, y) is translated b units up and a units right, the new location is X'(x +a, y + b).

Let us assume the coordinates of the vertex of triangle D'E'F' is at D'(-1, 5), E'(3, 2), F'(5, 8).

Since triangle DEF was translated 2 units to the right and 4 units up, the coordinate of vertex E is at E(1, -2)

24 is 75% of what number.

Answers

Answer:

32.

Step-by-step explanation:

The answer to this question is 32

using the graph below find the missing value to complete the t chart​

Answers

Answer:

-5

Step-by-step explanation:

the next coordinate that follows the line lands on 2,-5

Answer:

-5.

Step-by-step explanation:

Just follow the X axis to 2 and then go down to where the line intersects the Y axis at -5

Which one?
A. B. C. or D? ​

Answers

Answer:

D

Step-by-step explanation:

Hope this helps :3

I need help with this please!!!
-8 = -(x = 4)

Answers

Answer:

x=4

Step-by-step explanation:

-8 = -(x + 4)

switch sides

divide both sides by -1

simplify(x+4=8)

subtract 4 from both sides(x+4-4=8-4)

x=4

What’s the slope pls answer quickk

Answers

Answer:

slope is -1

Step-by-step explanation:

The line is decreasing from left to right, so the slope is going to be negative. If you count down, then move to the right, you would get one down, one to the right continually.

Answer:

y=-1x-2

Step-by-step explanation:

Travis spends $20 for premium food, $10 for treats, $18 for grooming, and $3 for toys for his pet. Write an expression that could be used to determine the amount he spends on these items for his pet over a period of 12 months.

Answers

Answer:

492$ per year

Step-by-step explanation:

Add all the given numbers (note: not the months) all money spends

20$ + 10$ +18$ +3$ = 41$ per month

Then multiply in months which is 12.

41$ x 12 = 492$ per year or 12 months

The expression that could be used to determine the amount he spends on these items for his pet over a period of 12 months is,

⇒ 12 x ( $20 + $10 + $18 + $3 )

⇒ $612

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Travis spends $20 for premium food, $10 for treats, $18 for grooming, and $3 for toys for his pet.

Hence, Total amount spend in a month is,

⇒ $20 + $10 + $18 + $3

⇒ $51

Thus, The expression that could be used to determine the amount he spends on these items for his pet over a period of 12 months is,

⇒ 12 x $51

⇒ $612

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

In the first 4 of 5 consecutive days, Martha delivered
144, 152, 139, and 171 newspapers. How many
newspapers did Martha deliver on the fifth day, if the
average number of newspapers she delivered per day
during the five-day period was 155?
A. 154
B. 162
C. 169
D. 171
Given the number of newspapers delivered by
E. Martha on the first four days, she cannot average
155 per day for the five-day period.

Answers

Answer:

C. 169

Step-by-step explanation:

144+152+139+171+169=775

775÷5=155

14. Lines are always
O finite
O solid
O non collinear
O straight

Answers

i'm pretty positive it's the first one, infinite

Determine the prime factorization of 235 and 468

Answers

Answer:468:

Prime Factors of 468 =2, 2, 3, 3, 13

Which is the same as = 22 x 32 x 13

235:

235 is a composite number.

Prime factorization: 235 = 5 x 47

hope this help!

The prime factorization of 235 is 5 times 47.
The prime factorization of 468 is 2 times 2 times 3 times 3 times 13.
Now if you add the two numbers together you have 235+468=703 and the prime factorization of 703 is 19 times 37. It all depends how the question wants it answered.

PLEASE HELP, DUE SOON!!

Answers

Answer:

Always pay attention in class to know the answer. okay shawtie. Always stay positive.❤

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