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Alenkinab [10]
2 years ago
9

How can you use mental math to determine if a ratio is simplified

Mathematics
1 answer:
Romashka [77]2 years ago
5 0
You can see if it is simplified by checking if the numbers can be divided with the same number. Typically, this is done mentally.
Ex: You can mentally determine that 10:4 is not simplified, because both can be divided by 2.
You can then determine that 5:2 is simplified.
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In her piggy bank, caitlin has 5.24 dollars the sum is made up of an equal number of four coins from 1 cent, 5 cents, 10 cents,
Ludmilka [50]

Answer:

1c, 5c, 25c and 1 dollar

Step-by-step explanation:

With 4 coins of 1c : 4 cents

4 coins of 5c: 20 cents

4 coins of 25c: 1 dollar

4 coins of 1 dollar: 4 dollars

So, 4c + 20c + 1 dollar + 4 dollars = 5.24 dollars

3 0
2 years ago
When she graduates college, linda will owe $43,000
Ad libitum [116K]

Answer:

Good For Her

Step-by-step explanation:

She is now in debt of 43,000 and she will now be poor

3 0
3 years ago
Using these complex zeros (1,1,-1/2,2+i,2-i) factor f(x)=-2x^5 +11x^4 -22x^3 +14x^2 +4x -5
Marianna [84]
\bf \begin{cases}
x=1\implies &x-1=0\\
x=1\implies &x-1=0\\
x=-\frac{1}{2}\implies 2x=-1\implies &2x+1=0\\
x=2+i\implies &x-2-i=0\\
x=2-i\implies &x-2+i=0
\end{cases}
\\\\\\
(x-1)(x-1)(2x+1)(x-2-i)(x-2+i)=\stackrel{original~polynomial}{0}
\\\\\\
(x-1)^2(2x+1)~\stackrel{\textit{difference of squares}}{[(x-2)-(i)][(x-2)+(i)]}

\bf (x^2-2x+1)(2x+1)~[(x-2)^2-(i)^2]
\\\\\\
(x^2-2x+1)(2x+1)~[(x^2-4x+4)-(-1)]
\\\\\\
(x^2-2x+1)(2x+1)~[(x^2-4x+4)+1]
\\\\\\
(x^2-2x+1)(2x+1)~[x^2-4x+5]
\\\\\\
(x^2-2x+1)(2x+1)(x^2-4x+5)

of course, you can always use  (x-1)(x-1)(2x+1)(x²-4x+5)  as well.
7 0
3 years ago
Heidi and Andrew designed two raised flowerbeds for their garden. Heidi’s flower bed was 5 feet long by 3 feet wide, and Andrew’
Alona [7]

Answer:

90 ft³

Step-by-step explanation:

Volume is calculated as length × width × height.

Heidi: 5×3×2 = 30 ft³

Andres: 5×6×2 = 60 ft³

Total: 30 + 60 = 90 ft³

3 0
3 years ago
What is the value of the expression?
Blababa [14]

Answer:

- \frac{9}{10}

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

                                         (2*2) + 3         4 + 3

Therefore,  2/5 + 3/10 = ---------------  = ------------------

                                          10                     10

= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get


 7/10

=  ----------

     -7/9

If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is  -\frac{9}{10}

8 0
2 years ago
Read 2 more answers
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