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Anna71 [15]
3 years ago
8

To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

Mathematics
2 answers:
storchak [24]3 years ago
4 0

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

Lana71 [14]3 years ago
3 0

Answer:

Three, three

Step-by-step explanation:

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What number line shows the opposite of -2
nadezda [96]
Letter D. because any opposite number of a negative has to be a positive!
8 0
3 years ago
For an annual membership fee of $500,Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Wit
IRISSAK [1]

Answer:

25 rounds

Step-by-step explanation:

Let

x -----> the number of rounds of golf

y ---> total charges to play

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<em>Membership</em>

y=35x+500 ----> equation A

The slope is  m=$35 per round

The y-intercept b=$500 (annual membership fee)

<em>Non-Membership</em>

y=55x ----> equation B

The slope is  m=$55 per round

The y-intercept b=$0

Equate equation A and equation B

55x=35x+500

solve for x

55x-35x=500

20x=500

x=25\ rounds

For x=25 rounds the cost to be the same with and without a membership

8 0
3 years ago
Read 2 more answers
Sally, Sue and Joe were measured in gym class. Sally was 65 3/4 inches. Sue was 65 7/8 inches. Joe was 65 1/2 inches. Who was th
qaws [65]

Answer:

Sue was the tallest.

Step-by-step explanation:

Sally = 65 3/4 --> 65 6/8

<h2>Sue = <u>65 7/8</u></h2>

Joe = 65 1/2 --> 65 4/8

5 0
3 years ago
[Algebra 2] Find the quotient with the necessary restrictions.​
Tatiana [17]

Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)²   This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0
3 years ago
The expressions that have a value of 180 when b = 4.
klasskru [66]

Answer:

1.  87b−179+957÷87

2. 51b−24

Step-by-step explanation:

6 0
2 years ago
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