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Sphinxa [80]
3 years ago
7

In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y

+ 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Step-by-step explanation:

2. 10x - 3 + 2x - 5 and 4(3x - 2)

10x - 3 + 2x - 5

Upon simplifying;

10x + 2x - 3 - 5

12x - 8

4(3x - 2)

12x - 8

Both expressions are equivalent - Yes!

3. 3y + 3 and 9(y + 1/3)

9(y + 1/3)

upon simplifying;

9y + 9 (1/3)

9y + 3

3y + 3

Both expressions are not equivalent - No!

4. 6(3x + 1) and 9x + 6 + 9x

6(3x + 1)

upon simplifying;

6(3x) + 6 (1)

18x + 6

9x + 6 + 9x

Upon simplifying;

9x + 9x + 6

18x + 6

Both expressions are equivalent - Yes!

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CAVES The temperature inside Mammoth Cave in Kentucky is about
Vaselesa [24]

Answer:

14.6°C

Step-by-step explanation:

Method 1

Higher value - lower value

12.2°C - (-2.4°C) *two negatives make a positive

12.2 + 2.4

14.6°C

Method 2

-2.4°C to 0°C = 2.4 increase (+2.4°C)

0°C to 12.2°C = 12.2 increase (+12.2°C)

Total change = 12.2 + 2.4= 14.6°C

3 0
3 years ago
Which is greater? 6/7 or 98/100
Charra [1.4K]
6/7 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
6 = 2 × 3;
7 is a prime number;

98/100 = (2 × 72)/(22 × 52) = ((2 × 72) ÷ 2)/((22 × 52) ÷ 2) = 49/50;

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4 years ago
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What is 5 -90 as a decimal
elena-14-01-66 [18.8K]
-95.00 your answer your welcome
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3 years ago
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Michael bought six books that cost d dollars each.Write an equation that can be used to show the total cost (c)of the books?How
yulyashka [42]

Step-by-step explanation:

Equation is 6d (6 • d)

Actual Question:

c = 6d

Let d = 7.89

c= 6 (7.89)

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Michael would have spent a total of $47.34.

8 0
3 years ago
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a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?
PSYCHO15rus [73]

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

6 0
2 years ago
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