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DIA [1.3K]
2 years ago
14

Danica is arranging flowers for a party. On each table, t, there will be a vase of 9 flowers and 3 bowls of flowers with f flowe

rs inside. Danica needs an additional 12 flowers for a cake topper. This situation can be written as the following expression:
9t + (3f)t + 12

How many flowers should Danica purchase if she has 21 tables with 3 flowers in each bowl?
help!!!!!
Mathematics
1 answer:
suter [353]2 years ago
5 0
Subst for f and t in...
9t+3ft+12 = 9×21 + 3×3×21 + 12 = 390
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Well, let's take a peek at the graph of that line, hmmm let's pick two points, heck, those tow on the extremes anyway, and those are (-5,2) and (5,-1), alrite.. now, let's do some checking on that.

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -5}}\quad ,&{{ 2}})\quad 
%   (c,d)
&({{ 5}}\quad ,&{{ -1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-2}{5-(-5)}\implies \cfrac{-1-2}{5+5}
\\\\\\
\cfrac{-3}{10}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=-\cfrac{3}{10}[x-(-5)]
\\\\\\
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\\\\\\
y=-\cfrac{3}{10}x+\cfrac{1}{2}
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3 years ago
Three children Awuni,baba and lsaka were given 160 oranges to share.Awuni got 1/4 oranges. Baba and lsaka shared the remainder i
Eva8 [605]

Answer:

6 aend 7

Step-by-step explanation:

they got on more so leeaseea

7 0
3 years ago
The circumference of a circle is 15 centimeters. What is the diameter? Round to the nearest hundredths place.
lesya692 [45]

Answer:

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Step-by-step explanation:

because Circumference can be found with this equation

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we need to plug in 15 for Circumference and solve for its radius or R.

15 = 2piR

15/2pi = R

but we need diameter which is 2R so we just need to multiply the answer by 2.

15/2pi × 2 = Diameter

15/pi = D

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6 0
3 years ago
If a standard vodka martini recipe at La-ti-da Lounge calls for 2.5 oz of premium vodka that sells for $35/liter, .5 oz of dry v
Iteru [2.4K]

Answer: (A) 19.3%

<u>Step-by-step explanation:</u>

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Luden [163]

Answer:

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Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2

This means that the ratio of the surfaces/areas will be 64.

(and will be the same for a pyramid, a rectangle, etc)

Then the correct options will be the ones related to surfaces, that are:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

5 0
3 years ago
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