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3 years ago

7

Simplify the expression. 22 • 23 A. 10 B.16 C.24 D.32

1 answer:

Vinil7 [7]3 years ago

4 0

22x23=506

hope this helps! good luck!

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Exercise: Evaluate the expressions for a = 2 and b = 6<br> (a + b)2

Vesnalui [34]

Answer:

16

Step-by-step explanation:

Simply plug in 2 for a, then 6 for b and substitute

(2+6)2

Then do order of operations to simplify PEMDAS

First what's inside the parenthesis

(8)2

Then multiply

16.

8 0

3 years ago

Read 2 more answers

What is the momentum of 200kg portable if it travels 50 meters in 5seconds

kvasek [131]

Momentum = mass * velocity

50 meters in 5 seconds = 50/5 = 10 m / second

Required momentum = 200*10 = 2,000

I cant remember how to write the units for this.

5 0

3 years ago

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

8 0

3 years ago

5x 10^4 + 2.5 x 10^2 =

professor190 [17]

Answer: 2000000

Step-by-step explanation:

10^4 times 5 times 10^2 =10^6 times 5

5 times 10^6= 5000000

5000000/2.5

=2000000

6 0

3 years ago

Read 2 more answers

Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purp

MAVERICK [17]

Answer:

$Blue =1\frac{3}{5}$

Step-by-step explanation:

Given

$Blue = 1\frac{1}{3}$

$Red = 1\frac{2}{3}$

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

$Ratio = Blue : Red$

When $Blue = 1\frac{1}{3}$ and $Red = 1\frac{2}{3}$

$Ratio = 1\frac{1}{3} : 1\frac{2}{3}$

When Red = 2

$Ratio = Blue : 2$

Equate both ratios

$Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}$

Convert to division

$\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}$

Convert fractions to improper fraction

$\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}$

$\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}$

$\frac{Blue}{2} =\frac{4}{5}$

Make Blue the subject

$Blue =\frac{4}{5}*2$

$Blue =\frac{8}{5}$

$Blue =1\frac{3}{5}$

4 0

3 years ago