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yKpoI14uk [10]
3 years ago
15

Show work when multiplying 3.9×5.3

Mathematics
2 answers:
frozen [14]3 years ago
7 0
I use the expansion distributive thing

remember a(b+c)=ab+ac
3.9=4-0.1
3.9 times 5.3=
(4-0.1) times 5.3=
5.3(4-0.1)=
5.3(4)+5.3(-0.1)=
(5+0.3)4+5.3(-0.1)=
20+1.2-0.52=
20+0.68=
20.68
taht's one way
horrorfan [7]3 years ago
4 0
3.9 x 5.3 = 20.67 

im not really sure how i would show my work while typing, but if you really need to see it i could insert a picture, let me know. 
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Which expression is equivalent to (4(5^3)1/2?
Feliz [49]

Answer:

10\sqrt{5}

Step-by-step explanation:

In this problem, we are given expression in exponent form and we have to simplify the expression.

The expression is [4(5^{3} )]^{\frac{1}{2} }

Now, we know that 5^{3} = 5 \times 5 \times 5 = 125

So, 4(5^{3} ) = 4 \times 125 = 500

Now, 500 can be written as 100 × 5 = 10² × 5

Therefore, [4(5^{3} )]^{\frac{1}{2} } = (500)^{\frac{1}{2} } = 10\sqrt{5} {Since 500 = 100 × 5 = 10² × 5} (Answer)

6 0
3 years ago
Simplify using only POSITIVE exponents:
pickupchik [31]

So here are a few rules with exponents that you should know:

  1. Multiplying exponents of the same base: x^m*x^n=x^{m+n}
  2. Dividing exponents of the same base: x^m\div x^n=x^{m-n}
  3. Powering a power to a power: (x^m)^n=x^{m*n}
  4. Converting a negative exponent to a positive one: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m
<h2>1.</h2>

Firstly, solve the outside exponent:

(2x^3y^7)^{-2}=2^{-2}x^{3*-2}y^{7*-2}=2^{-2}x^{-6}y^{-14}

Next, convert the negative exponents into positive ones:

2^{-2}x^{-6}y^{-14}=\frac{1}{2^2x^6y^{14}}=\frac{1}{4x^6y^{14}}

<u>Your final answer is \frac{1}{4x^6y^{14}}</u>

<h2>2.</h2>

For this, just divide:

\frac{12x^5y^3}{4x^{-1}}=\frac{12}{4}x^{5-(-1)}y^{3-0}=3x^6y^3

<u>Your final answer is 3x^6y^3</u>

<h2>3.</h2>

For this, convert all negative exponents into positive ones:

\frac{r^{-7}b^{-8}}{t^{-4}w}=\frac{t^4}{r^7b^8w}

<u>Your final answer is \frac{t^4}{r^7b^8w}</u>

3 0
4 years ago
Graph the linear equation find three points that solves the equation 2y=5x+11
Julli [10]

Answer:

<h3>Attachment</h3>

Step-by-step explanation:

Convert to the slope-intercept form (<em>y = mx + b</em>):

2y=5x+11             <em>divide both sides by 2</em>

\dfrac{2y}{2}=\dfrac{5x}{2}+\dfrac{11}{2}\\\\y=\dfrac{5}{2}x+\dfrac{11}{2}

We choose any three x values ​​and calculate the y value:

for x = -1

y=\dfrac{5}{2}(-1)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to A(-1,\ 3)

for x = 1

y=\dfrac{5}{2}(1)+\dfrac{11}{2}=\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{16}{2}=8\to B(1,\ 8)

for x = -3

y=\dfrac{5}{2}(-3)+\dfrac{11}{2}=-\dfrac{15}{2}+\dfrac{11}{2}=-\dfrac{4}{2}=-2\to C(-3,\ -2)

Mark the points on the coordinate plane and draw a line through the given points.

6 0
3 years ago
A yard fabric costs $12.99. How much will 2 feet cost?
Angelina_Jolie [31]
8.66, you divide 12.99 into 3 and then multiply the result which is 4.33 by 2
3 0
3 years ago
Find the area; reduce to lowest terms:
tamaranim1 [39]
Area = length x width

area = 2 3/4 x 2/5

area = 1 1/10 feet :)
5 0
3 years ago
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