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andriy [413]
3 years ago
8

3 ounces of cinnamon cost $2.40. if there are 16 ounces in 1 point how much does cinnamon cost per pound

Mathematics
2 answers:
astraxan [27]3 years ago
8 0
Set up a proportion:

\frac{3}{2.40} = \frac{16}{x}

The numerator represents the ounces of cinnamon bought, and the denominator represents the cost of the cinnamon.

Cross multiply both fractions:

3x = 38.4

Divide both sides by 3 to get x by itself:

x = 12.8

Cinnamon will cost $12.80 per pound.
Ksivusya [100]3 years ago
4 0
It would be $12.8 a pound.
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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
What is numbers line x&lt;8
drek231 [11]

Answer:

I cant draw it perfectly so please dont judje if it not helpful

Step-by-step explanation:

x<------------------------------------->infinity

So put a dot at the arrow pointing to X and then trace the line and the arrow to infinity dark.

7 0
3 years ago
What is the simplified value of the expression below? 8.5+(12+4)x2-7
Lilit [14]
B. 33.5 is your answer
First you want to add 12+4 because it is in parentheses
8.5+16x2-7
Then you multiply 16 by 2
8.5+32-7
Then you add 8.5 to 32
40.5-7
Then you subtract 7 from 40.5 giving you your answer
33.5
7 0
3 years ago
Read 2 more answers
PLEASE HELP you just have to help with a few
vagabundo [1.1K]
<h3><em>Answers:</em></h3><h2 /><h2>1/4 + 2/3 =11/12</h2><h2 /><h2>2/5-1/10= 3/10</h2><h2 /><h2>1/6+1/4=5/12</h2><h2 /><h2>5/8-1/4=3/8</h2><h2 /><h2>7/8-1/2=3/8</h2><h2 /><h2>3/10+4/5=11/10 or 1 1/10</h2><h2 /><h2>5/6-2/5=3/5</h2><h2 /><h2>5/12-1/4=1/6</h2><h2 /><h2>7/16+1/8=9/16</h2><h2 /><h2>11/16+5/8=21/16 or 1 5/16</h2><h2 /><h2>2/7+1/2=11/14</h2><h2 /><h2>4/5+3/4=31/20 or 1 11/20</h2>
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2 years ago
The length of ​ AB¯¯¯¯¯ ​ is 10 inches. A dilation with a scale factor of 25 is applied. What is the length of the image of ​ AB
DaniilM [7]
The answer is 4. 

I hope this helps. :)
7 0
3 years ago
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