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NARA [144]
3 years ago
11

Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th

e table.
Expressions Madison and Tyler Created
Student
Expression
Madison
14.1 (7.6 + 19.8)
Tyler
14.1 (19.8) + 14.1 (7.6)
Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer: Tyler used the distributive property.

Step-by-step explanation:

For the expression:  

Madison wrote:  which is by commutative property of addition.

The commutative property of addition says that , for a,b be any real number

Tyler wrote: which is by distributive propery.

The distributive property says that , for a,b,c be any real numbers.

Hence, the last option is correct.

AlladinOne [14]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Took the test ;)

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Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo se
frutty [35]

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69    Eqn 1

y=x+5    Eqn 2

z=2x    Eqn 3

Putting Eqn 2 and 3 in Eqn 1

x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64

Dividing both sides by 4;

\frac{4x}{4}=\frac{64}{4}\\x=16

Putting x=16 in Eqn 2

y=16+5=21

Putting x=16 in Eqn 3

z=2(16)=32\\

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

Learn more about addition at:

  • brainly.com/question/10882895
  • brainly.com/question/10883914

#LearnwithBrainly

8 0
3 years ago
Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o
KengaRu [80]

Answer:

the area of the space he can cover with carpet =  16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet =  A+B+C+D

the area of the space he can cover with carpet =  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards²

the area of the space he can cover with carpet =  16x⁴ yards²

6 0
2 years ago
Need help asap or Im going to fail this class​
nydimaria [60]

Answer:

The first four.

Step-by-step explanation:

There are 3 main postulates. SSS, SAS, and AAS. This simply refers to how we prove a triangle congruent. With SSS, all 3 sides must be congruent (either proven or given). AAS is when you have 2 angles congruent with a side next to one of the angles. NOT IN BETWEEN (there's an image as to what I'm talking about below). Finally, SAS. This is when you have a set of angles congruent with sides on each side congruent as well (look at the first four as an example of this.

Any more specific questions, feel free to ask!

7 0
2 years ago
What is the value of x to the nearest tenth?
baherus [9]
Answer:
x
≈
16

Explanation:
Remember Sine of an angle is
opposite side
hypotenuse

So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x

sin
(
47
°
)
=
12
x

To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)

x
≈
16
3 0
2 years ago
Factor 65x^2+212x-133 completely
worty [1.4K]
65x^2 + 212x - 133
you have to use the quadratic formula 
x=( -b +/- √b²-4ac) / 2a
a is 65
b is 212
c is 133
because the first value is squared you will have 2 answers
x= 7/13
x= - 19/5

4 0
3 years ago
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