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larisa86 [58]
3 years ago
11

Name the property of equality that justifies this statement:

Mathematics
1 answer:
liberstina [14]3 years ago
7 0
If p = q, then q = p. is symetric property

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Hey scale drawing of Jamy’s living room is 4cm in width and 6cm length. If each 2cm on the scale drawing equals 8 feet what are
igor_vitrenko [27]
2 cm = 8 feet.
4 / 2 = 2. 8 * 2 = 16.  16 feet in width.
Now, the length:
6 / 2 = 3. 8 * 3 = 24. 24 feet in length.
The actual dimensions are 16 feet in width and 24 feet in length.

5 0
3 years ago
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue
Murljashka [212]

Answer: 1. 7:10

2. 10 blue cans

15 yellow cans.

3. 4 cans of blue paint.

5 cans of yellow paint.

4. 2 blue cans and 3 yellow cans.

Step-by-step explanation:

1. 14 blue paint cans/20 yellow paint cans=

14/20=

7/10 ==> 7:10

2. 4+6 blue cans=10 blue cans

6+9 yellow cans=15 yellow cans.

3. 14-10=4 cans of blue paint.

20-15=5 cans of yellow paint.

4. 10 blue cans/15 yellow cans=

10/15=

2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.

5 0
1 year ago
Read 2 more answers
Choose any method to find the gcf of 40 16 and 24
Juli2301 [7.4K]

The GCF of 40 16 and 24 is 8

<h3>How to determine the GCF of 40 16 and 24?</h3>

The numbers are given as:

40 16 and 24

Start by listing out the factors of the numbers:

This is done as follows:

  • The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
  • The factors of 16 are: 1, 2, 4, 8, 16
  • The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Then the greatest common factor in the above list is 8.

Hence, the GCF of 40 16 and 24 is 8

Read more about GCF at:

brainly.com/question/219464

#SPJ1

8 0
2 years ago
What is the letter v​
Nimfa-mama [501]

Answer:

Step-by-step explanation:

-81=-5(v+5)-2v                         Original equation

-81=-5v-25-2v                          Distributive property

-81=-7v-25                                Subtract like terms

-56=-7v                                     Simplify

8=v                                           Simplify

4 0
3 years ago
prove that the value of each expression is divisible by the given number 8^10-2^27 is divisible by 14
attashe74 [19]

Answer:

Proof below

Step-by-step explanation:

<h3><u>General Strategy:</u></h3>
  1. Find factors of divisor
  2. Use algebraic properties to reveal those factors in the given expression.

<u></u>

<h3><u>Divisibility</u></h3>

A number, p, is divisible by another number, d, if and only if there is some non-negative integer, n, such that n*d=p.

To prove that, 300 is divisible by 10 because, 30 is a non-negative integer, and 10*30=300.

<u>Strategies for Divisibility by a composite number</u>

Note that in the previous example, 10 is a composite number.  This means that both one 2 and one 5 (the full list of 10s factors) had to be factored out of the 300.

In the given problem, we are to prove that the number is divisible by 14.  Observe 14 is composite with factors of 2 and 7.

<h3><u>Properties of exponents</u></h3>

Since the expression is given with exponents, it will be helpful to recall a few exponent properties to algebraically manipulate the expression.

Recall the following property of exponents:

  • x^{a}*x^{b}=x^{(a+b)}  
  • (x^{a})^{b}=x^{ab}

<h3><u>Finding a factor of 14 in the given expression</u></h3>

Original expression...

8^{10}-2^{27}

Recognizing 8 as a power of 2...

(2^3)^{10}-2^{27}

Simplifying and rewriting so that both terms are powers of 2...

2^{30}-2^{27}

Observing that both terms have 27 twos as factors...

2^{27}*2^{3}-2^{27}

Factoring out 27 twos...

2^{27}*(2^{3}-1)

Simplifying the expression in the parenthesis:

2^{27}*(8-1)

2^{27}*(7)

Knowing that we also need a factor of 2, use properties of exponents, and associative property of multiplication...

(2^{26}*2^1)*7

2^{26}*(2^1*7)

2^{26}*(2*7)

2^{26}*14

Since 2^26 is a non-negative integer, the original expression is divisible by 14.

4 0
2 years ago
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