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SOVA2 [1]
3 years ago
15

I have two and one half squares and i want to divide them by one fourth. How many pieces would i have?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

2+½, is just 2½, now divided by 1/4.

let's first convert the mixed fraction to improper, and then divide.


\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{5}{2}\div \cfrac{1}{4}\implies \cfrac{5}{2}\cdot \cfrac{4}{1}\implies \cfrac{5}{1}\cdot \cfrac{4}{2}\implies 5\cdot 2\implies 10

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8 0
2 years ago
Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the m
trapecia [35]
There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2


Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
3 0
3 years ago
Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In
Ksenya-84 [330]
<span>There are 2 pints of blue and 2 pints of yellow in the bucket.
To be 80% yellow, the new color will be (100%-80%=) 20% blue.

2 pints is 20% of (2 pints/0.20=) 10 pints. 
With 4 pints in the bucket, to make 10 pints you should add 
(10 pints-4 pints=) 6 more pints of yellow paint.

ANSWER: You should add 6 pints of yellow to the 4 pints of green in the bucket to make the new color that is 80% yellow.</span>
3 0
3 years ago
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. Th
olga_2 [115]

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

A=P (1+rt)

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

5 0
3 years ago
Realice la óperacion y exprese el resultado en notación científica (0,00000826) (235×10 elevado a -7) sobre 0,0017×10 elevado a
earnstyle [38]

Answer:

1,42 * 10 ^ -5

Step-by-step explanation:

La notación científica también se conoce como forma estándar.

Tenemos que realizar la siguiente operación y dejar el resultado en forma estándar.

Entonces;

0,00000826 * 235 × 10 ^ -7 / 0,0017 × 10 ^ -2

También;

8.26 * 10 ^ -6 * 2.35 * 10 ^ -5 / 1.7 * 10 ^ -5

= 19,411 * 10 ^ -11 / 1,7 * 10 ^ -5

= 1,42 * 10 ^ -5

6 0
2 years ago
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