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-BARSIC- [3]
2 years ago
8

Sam bought 6 pens for an unknown price plus a

Mathematics
1 answer:
Nonamiya [84]2 years ago
5 0
So sam bought SIX pens for a TOTAL of $28.50. we have to figure out how much money each of the six pens cost.

steps:

1. divide the total by the amount of items purchased:

28.50 / 6 = 4.75

and there’s your answer! each pen cost $4.75

steps to check your work:

1. multiply the single cost by the amount of items purchased:

4.75 ( 6 ) = 28.50

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.
laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 \frac{1}{3}, also written as 7.33...) by 2; this equals 3 \frac{2}{3\\}, also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P\frac{1}{2} - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

7 0
3 years ago
PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
earnstyle [38]

\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


so the slope of that line above is really -4/3, now


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}

6 0
3 years ago
14 kg of apples cost $154.how much would 16kg cost
ankoles [38]
We can set up a proportion, and let x be the amount 16kg would cost: 14/154=16/x. We simplify 14/154 = 1/11. Next, we cross-multiply to get (1)(x)=(16)(11), so x=176. Therefore, 16kg of apples cost $176.
---
Hope this helps!
4 0
3 years ago
Read 2 more answers
2√64<br> (+) =8<br> 10-2 <br><br>solve 3√125=? by following steps above​
Liono4ka [1.6K]

<em><u>your </u></em><em><u>question:</u></em><em><u> </u></em>

solve 3√125=? by following steps above

<em><u>answer:</u></em>

<em>I'm</em><em> </em><em>not </em><em>sure </em><em>what</em> <em>the </em><em>steps</em><em>"</em><em> </em><em>are </em><em>but </em><em>I </em><em>got </em><em>33.54101966249 </em>

4 0
2 years ago
PLEASE HELP NEED ANSWER BADLY
rjkz [21]
You do 1/3(area of the base)(height) so it’s (1/3)(32^2)(39). 13,311.999999 cubic yards is the answer.
5 0
2 years ago
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