<span>50844, i looked it up on the online calculator</span>
Answer:
14 ounce
Step-by-step explanation:
Given that:
Ounces of dough used in making recipe = 70 ounces
Number of ounces frozen = 28 ounces
Number of pizzas made from dough left = 3
Number of ounces left = total made - number frozen
Number of ounces left = 70 - 28 = 42
Weight of pizza made :
Number of ounces left / number of Pizzas made
42 / 3 = 14
Hence, maximum weight of each pizza made will weigh more than 14 ounces
Answer:
x-2y-8=0
Step-by-step explanation:
The equation of line is given by the relation
y-y1=m(x-x1)
where m is the slope
now, given x1=-4 and y1=-6 and the slope is 1/2.
<em>sub</em><em>stitute</em><em> </em><em>in</em><em>to</em><em> the</em><em> equation</em><em> </em><em>to</em><em> </em><em>get</em>
<em>y</em><em>+</em><em>6</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>x</em><em>+</em><em>4</em><em>)</em>
<em>mult</em><em>iplying</em><em> </em><em>through</em><em> </em><em>wi</em><em>th</em><em> </em><em>the</em><em> </em><em>L.C.M</em>
<em>whi</em><em>ch</em><em> </em><em>is</em><em> </em><em>2</em>
<em>2</em><em>(</em><em>y</em><em>+</em><em>6</em><em>)</em><em>=</em><em>1</em><em>/</em><em>2</em><em>×</em><em>2</em><em>(</em><em>x</em><em>+</em><em>4</em><em>)</em>
<em>2</em><em>y</em><em>+</em><em>1</em><em>2</em><em>=</em><em>x</em><em>+</em><em>4</em>
<em>maki</em><em>ng</em><em> </em><em>x</em><em> </em><em>the</em><em> </em><em>su</em><em>bject</em>
<em>x</em><em>=</em><em> </em><em>2</em><em>y</em><em>+</em><em>8</em><em> </em><em>hence</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>li</em><em>ne</em><em> </em><em>is</em><em> </em><em>x-2y-8</em><em> </em><em>=</em><em>0</em>
29
Note that consecutive numbers have a difference of 1 between them.
let n be the smallest integer then the three integers can be expressed as
n, n + 1 , n + 2
the sum is then
n + n + 1 + n + 2 = 90
3n + 3 = 90
subtract 3 from both sides of the equation
3n = 90 - 3 = 87
divide both sides by 3
n = 
= 29
the three integers are 29, 30, 31 → the smallest is 29
Check the picture below.
so our bases are "d" and "d+a+b", and a height of "c".
![\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(x+y)}{2}~~ \begin{cases} x,y=\stackrel{parallel~sides}{bases}\\ h~~~=height\\ \cline{1-1} x=d\\ y=d+a+b\\ h=c\\ A=(d+b)c \end{cases}\implies (d+b)c=\cfrac{c[d+(d+a+b)]}{2} \\\\\\ 2(d+b)c=c[d+(d+a+b)]\implies 2dc+2bc=c(2d+a+b)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28x%2By%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20x%2Cy%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%20h~~~%3Dheight%5C%5C%20%5Ccline%7B1-1%7D%20x%3Dd%5C%5C%20y%3Dd%2Ba%2Bb%5C%5C%20h%3Dc%5C%5C%20A%3D%28d%2Bb%29c%20%5Cend%7Bcases%7D%5Cimplies%20%28d%2Bb%29c%3D%5Ccfrac%7Bc%5Bd%2B%28d%2Ba%2Bb%29%5D%7D%7B2%7D%20%5C%5C%5C%5C%5C%5C%202%28d%2Bb%29c%3Dc%5Bd%2B%28d%2Ba%2Bb%29%5D%5Cimplies%202dc%2B2bc%3Dc%282d%2Ba%2Bb%29)
![\bf ~~\begin{matrix} 2dc \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+2bc=~~\begin{matrix} 2dc \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+ac+bc\implies 2bc=ac+bc\implies 2bc=c(a+b) \\\\\\ \cfrac{2b~~\begin{matrix} c \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} c \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=a+b\implies 2b=a+b\implies 2b-b=a\implies \blacktriangleright b=a \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20~~%5Cbegin%7Bmatrix%7D%202dc%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%2B2bc%3D~~%5Cbegin%7Bmatrix%7D%202dc%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%2Bac%2Bbc%5Cimplies%202bc%3Dac%2Bbc%5Cimplies%202bc%3Dc%28a%2Bb%29%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B2b~~%5Cbegin%7Bmatrix%7D%20c%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7B~~%5Cbegin%7Bmatrix%7D%20c%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%3Da%2Bb%5Cimplies%202b%3Da%2Bb%5Cimplies%202b-b%3Da%5Cimplies%20%5Cblacktriangleright%20b%3Da%20%5Cblacktriangleleft)
