Simplify<br> (a+3)2 -3 (2a+3)

What's the answer to this? and please explain.

vichka [17]

<h3>Answer: No, there isn't enough ribbon</h3>

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Use this formula

a & b/c = (a*c+b)/c

to convert from a mixed number to an improper fraction

So,

a & b/c = (a*c+b)/c

3 & 3/4 = (3*4+3)/4

3 & 3/4 = 15/4

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Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.

In this case, the LCD is 4*6 = 24

The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.
The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4

Now we can add the fractions:

90/24+20/24 = (90+20)/24 = 110/24

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So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24

The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot

2/3 = 16/24 after multiplying top and bottom by 8

Add this to the result of the last section

110/24+16/24 = (110+16)/24 = 126/24

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From here, we convert the improper fraction 126/24 to decimal form

Using a calculator, you should find that 126/24 = 5.25

The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.

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The shortcut we can take is to type the following into the calculator

3+3/4+5/6+2/3

doing so should lead to 5.25

5 0

3 years ago

Read 2 more answers

Simplify (7ab)squared 0 <br>A) 7<br> B) 1 <br>C) 7ab <br>D)0

PolarNik [594]

Answer:

The answer to this is B.

Step-by-step explanation:

Anytime a number/variable is squared by a 0, it always equals a 1.

Hope this Helped!!!

~Shane

4 0

4 years ago

Read 2 more answers

Find f(x) and g(x) so that the

TiliK225 [7]

Answer:

g(x) = sin(x)

f(x) = e^x

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Solve the system using linear combination.

Angelina_Jolie [31]

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

$s = 5x + 3y$

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

8 0

3 years ago

You invested $19,000 in two accounts paying 4% and 8% annual interest, respectively.

saveliy_v [14]

Answer:

$9000 at 4$

and

$10000 at 8%

Step-by-step explanation:

Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.

Recall the formula for interest as : $I= P * R *t$

where I is the interest, R is the annual rate of interest and t is the number of years.

Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y

Total Interest = Interest (from the 4% account) + Interest (from the 8% account)

Total Interest = $1160 = 0.04 x + 0.08 y

we also know that the total invested (x + y) adds to $19,000, that is:

$19,000 = x + y

Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;

y = 19000 - x

1160 = 0.04 x + 0.08 (19000 - x)

1160 = 0.04 x + 1520 - 0.08 x

0.08 x - 0.04 x = 1520 - 1160

0.04 x = 360

x = 360/0.04 = $9000

Then the other investment was : y = $19000 - $9000 = $10000

6 0

3 years ago

Simplify (a+3)2 -3 (2a+3)