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4 years ago

Which equation demonstrates the identity property?

1 answer:

3 0

Identity property states that any number operated with the identity gives back the number.
From the stated option -17 x 1 = -17 demonstrates the identity property.

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What is the answer to 0.9 divided by 7.02

Studentka2010 [4]

Answer:

0.128205128 or 1

5 0

3 years ago

Becca has a biscuit recipe that uses 2/3 of a tablespoon of salt for every 3/4 of a cup of flour. In order to have enough biscui

MAXImum [283]

2/3   - 3/4
   x    -  3

x= (2/3 * 3) / (3/4) = 2 * (4/3) = 8/3 = 2 and 2/3 of tablespoon of salt

3 0

3 years ago

Read 2 more answers

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg × 1.1010 dg

12.0 m ÷ 3.1415 m

Answer:

1. $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2. $\frac{12}{3.1415} = 3.8198$

Step-by-step explanation:

1. 5.61000 dg × 1.1010 dg

We start by representing each digit using scientific notation

$5.61000 = 561000 * 10^{-5}$

$1.1010 = 11010 * 10^{-4}$

Then, Multiply both numbers

$561000 * 10^{-5} * 11010 * 10^{-4}$

First, rearrange

$561000 * 11010 * 10^{-5} * 10^{-4}$

$6176610000 * 10^{-5} * 10^{-4}$

From law of indices, $10^{-5} * 10^{-4} = 10^{-9}$ ;

So, we have

$6176610000 * 10^{-9}$

$6.176610000$

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives $6.177$

Hence, $5.61000dg * 1.1010dg$ = $6.177 dg^2$

12.0 m ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = $\frac{12}{3.1415}$

We start by representing 3.1415 using scientific notation

$3.1415 = 31415 * 10^{-4}$

By substitution;

$\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}$

Take $10^{-4}$ to the numerator

$\frac{12}{3.1415} = \frac{12 * 10^4}{31415}$

From law of indices, $10^{4}$ = 10000

$\frac{12}{3.1415} = \frac{12 * 10000}{31415}$

Multiply

$\frac{12}{3.1415} = \frac{120000}{31415}$

Divide

$\frac{12}{3.1415} = 3.81983129078$

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

$\frac{12}{3.1415} = 3.8198$

5 0

4 years ago

Read 2 more answers

Select the equations that are equivalent to the equation y – 2 = 3(x + 6). Select all that apply.

amm1812

The correct answer for the exercise shown above is the first option and the las option, which are:

<span>y = 3x + 20
3x - y = -20
</span>
The explanation is shown below:

1. You have the folllowing expression given in the problem above:

y-2=3(x+6)

2. If you solve it for y, you have:

y-2=3x+18
y=3x+18+2
y=3x+20

3. And if you move the variables to the left member, you have:

3x-y=-20

Therefore, as you can see, the correct answer are the options mentioned above.

3 0

4 years ago

A teacher graded the tests for each of her students. She calculated a mean grade of 80 and a

son4ous [18]

Answer:

Katrina got 86 in her test

Step-by-step explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86

7 0

3 years ago