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ExtremeBDS [4]
3 years ago
13

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

Mathematics
1 answer:
monitta3 years ago
6 0

Answer:

3\sqrt{3} - 4\sqrt{2}

Step-by-step explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is 2\sqrt{27} - 3\sqrt{32}.

To simplify, simplify inside the radicals by removing perfect square factors.

\sqrt{27} =\sqrt{9*3} =3\sqrt{3}

\sqrt{32} =\sqrt{16*2} =4\sqrt{2}

The expression becomes 3\sqrt{3} - 4\sqrt{2}.

This cannot be simplified anymore because whats under the radical is not the same.

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Every evening Jenna emptied her pocket and put your change in a jar at the end of the week she counts her money one week she had
Lelu [443]

Answer:

Jenna had 25 quarters and 15 dimes.

Step-by-step explanation:

Let Q = the number of quarters and D = the number of dimes.

Then:

1) Q+D = 40 "One week she had 40 coins, all of them dimes and quarters...."

2) 0.25Q+0.1D = $7.75 "...she had a total of $7.75."

Rewrite equation 1) as: D = 40-Q and substitute into equation 2).

2a) 0.25Q+0.1(40-Q) = 7.75 Simplify the left side.

 

2b) 0.25Q+4-0.1Q = $7.75 Subtract 4 from both sides.

2c) 0.25Q-0.1Q = 3.75 Combine the like-terms on the left side.

2d) 0.15Q = 7.75 Divide both sides by 0.15

2e) Q = 25 and:

D = 40-Q

D = 40-25

D = 15

Jenna had 25 quarters and 15 dimes.

3 0
4 years ago
If 20 pounds of beans sold for $1.20, what was the price per pound of beans?
zaharov [31]

Answer:

0.06 Cent

Step-by-step explanation:

Per Pound= Every one

so 1.20 divided by 20

= 0.06

So the price per pound of beans is 0.06 Cent

7 0
3 years ago
Read 2 more answers
Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2
scoundrel [369]

The value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

<h3>Vertex Form of a quadratic expression</h3>

Given the quadratic expressions

1.5x^2+6x+......

1.5(x^2 + 4x)

Using the completing the square method

The coefficient of x = 4

Half of the coefficient = 4/2 = 2

The square of the result = 2^2 = 4

The equation is expressed as:

f(x) = 1.5(x^2+4x+ 4) - 4

f(x) = 1.5(x+2)^2 - 4

Hence the value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Learn more on completing the square method here: brainly.com/question/1596209

6 0
2 years ago
3. For the equation-4y = &amp;r, what is the constant of variation? (1 point)<br> ООО<br> 02
alexandr1967 [171]

Answer:

3).

- 4y = 8x \\  \frac{y}{x}  =  \frac{8}{ - 4}  \\  \frac{y}{x} =  - 2 \\ y =  - 2x \\ hence \: constant \: is \:  - 2

4).

y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k =  \frac{24}{8}  \\ k = 3 \\ value \: of \: constant = 3

If it was by 10, k = 3 by 10

k = 30

5).

general \: equation \: of \: line  \\ y = mx + c \\ but \: m =  \frac{2}{3}  \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y =  \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27

7 0
3 years ago
What is 33 1/3% of 24
Over [174]
It is 8 the answer your welco
7 0
4 years ago
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