Translate the sentence into an equation. Six less than the quotient of a number and 5 is 10

1 answer:

4 0

N/5 - 6 = 10; "a number" is represented by n and it is divided by 5, then you add six to it, and the equation on the left is equal to 10

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Last Tuesday was silly hat day at Toby's school. 74 students wore a silly hat and 666 students did not. What percentage of the s

valina [46]

Answer:

10%

Step-by-step explanation:

The total population of students will be equal to the sum of both those who wore the silly hat and those who didn't hence

Total students= 74+666=740

Number of students who wore silly hat is given as 74 hence when expressed as a percentage of the total students' population we get that

percentage of the students wore a silly hat= $\frac {74\times 100}{740}=10\%$

Therefore, 10% of students wore a silly hat last Tuesday

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2 years ago

Determine if the expression – 6y5 z5 – is a polynomial or not. If it is a

sasho [114]

Answer:

it is not

Step-by-step explanation:

that is where I truly believe

8 0

2 years ago

3x^2 + 35x + 50 factored

Liula [17]

When you factor this problem you get:

(3x+5)(x+10)

4 0

3 years ago

Desmond is 3in taller than Nikki. If we let z represent Nikki height in inches, write an algebraic expression for Desmond's heig

nydimaria [60]

x=z+3

x=overall answer

z=Nikki's height

3 0

3 years ago

A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut f

m_a_m_a [10]

The original width would be 19 and the original length would be 32.

Let w be the width. Then 2w-6 would be the length. However, after cutting a 3-inch square from each corner, both the width and length left over to fold into a box would be 6 inches smaller; thus the dimensions would be w-6 and 2w-6-6 or 2w-12.

Since the section cut out is 3 inches long, 3 will be the height of the box.

Volume is found by multiplying the length, width and height of the box; thus we have:

1014=(w-6)(2w-12)(3)

We multiply the binomials and have:
1014 = [w*2w-12*w-6*2w-6(-12)](3)
1014 = (2w²-12w-12w+72)(3)
1014 = (2w²-24w+72)(3)
1014 = 6w² - 72w + 216

When solving a quadratic equation, we want it set equal to 0. Subtract 1014 from each side:

1014-1014 = 6w² - 72w + 216 - 1014
0 = 6w² - 72w - 798

We will use the quadratic formula to solve this:

$w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{--72\pm \sqrt{(-72)^2-4(6)(-798)}}{2(6)}
\\
\\=\frac{72\pm \sqrt{5184--19152}}{12}
\\
\\=\frac{72\pm \sqrt{5184+19152}}{12}
\\
\\=\frac{72\pm \sqrt{24336}}{12}
\\
\\=\frac{72\pm 156}{12}
\\
\\=\frac{72+156}{12} \text{ or } \frac{72-156}{12}
\\
\\=\frac{228}{12} \text{ or } \frac{-84}{12}=19 \text{ or } -7$

Since we cannot have a negative number for a measurement, 19 has to be the width; then 2(19)-6 = 32 would be the length.

4 0

3 years ago