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3 years ago

Sophia used the Order of Operations to simplify 4(5 - 2) to 4x3.

Mathematics

1 answer:

Alchen [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Order of operations, use the operation within the parenthesis:

1) 5 - 2 = 3
2) 4*3 = 12

Distributive property, a(b + c) = ab + ac:

1) 4*5 - 4*2 = 20 - 8
2) 20 - 8 = 12

Both ways are correct and lead to same result

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Find the square root of the following using division method . iv) 36360

sveticcg [70]

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

, 1 $\dot{3}$ $\overline{63}$ $\overline{60}$

, 1 1

2, 9 2 $\overline{63}$

9 261

38, 0 2 60

0 0

380, 6 26000

, 6 22800

3806, 8 320000

, 8 304480

38068, 4 1552000

Which gives 190.684

3 63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.

7 0

3 years ago

What are the center and radius of the circle whose equation is x2 + y2 + 4x = 5?

prisoha [69]

The center is (-2,0)
The radius is -3

5 0

3 years ago

A customer deposits $500 in an account that pays 5% annual interest.

skelet666 [1.2K]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=500(1.05)^3\implies A\approx 578.81$

4 0

2 years ago

What is 20% of $36 PLEASE HELP ME

Amanda [17]

Answer:

$7.20

Step-by-step explanation:

20% is the same as 0.2 or 2/10, which simplifies to 1/5.

1/5*36=36/5=7.20

Or you could straight up to 20%*36=7.20

4 0

3 years ago

Is the product 1.01 1.01 less than or greater than 1?

faust18 [17]

Answer:

greater than 1

Step-by-step explanation:

its greater because 1.01 is greater than 1

8 0

3 years ago