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faust18 [17]
3 years ago
7

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”? 6 + StartFraction

3 Over n EndFraction minus 8 6 + StartFraction n Over 3 EndFraction minus 8 6 + StartFraction 3 Over n EndFraction + 8 6 + StartFraction n Over 3 EndFraction + 8
Mathematics
1 answer:
Neko [114]3 years ago
7 0

Answer:

(3/x +6)-8

Step-by-step explanation:

The given statement is

"Six more than the quotient of three and a number, decreased by eight".

"Six more than" indicates the sum between the quotient and 6.

"The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

The parenthesis just indicates the order of the operations as the problem states.

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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
Help please i don’t understand
Monica [59]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Triangles are similar ,

Thus :

\frac{9}{3}  =  \frac{6}{x}  \\

3 =  \frac{6}{x}  \\

\frac{6}{x}  = 3 \\

Inverse both sides

\frac{x}{6}  =  \frac{1}{3}  \\

Multiply sides by 6

6 \times  \frac{x}{6}  = 6 \times  \frac{1}{3}  \\

x = 2 \times 3 \times  \frac{1}{3}  \\

x = 2

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
3 years ago
Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
Andrej [43]
<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x) 
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4) 
</span>y - 10 = -3(x+2)^2

Therefore, the answer is the first option.
3 0
4 years ago
Read 2 more answers
What percent of a circle is 3/6 of a circle
Vlad1618 [11]
50%
You have half of 6 so the percentage would be half of 100
8 0
3 years ago
Read 2 more answers
If the average of nine consecutive integers is zero, what is the largest integer?
Orlov [11]

Answer:

4

Step-by-step explanation:

The average of the consecutive integers is 0, so the middle number must be 0, with 4 numbers less than 0 and 4 numbers greater than 0.

-4, -3, -2, -1, 0, 1, 2, 3, 4

So the largest integer is 4.

4 0
3 years ago
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