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alexandr1967 [171]
3 years ago
12

Solve the proportion r/72= 3/9​

Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Answer:

r=\frac{7}{3}

Step-by-step explanation:

When given the equation

\frac{r}{72} =\frac{3}{9}

We must multiply each side by 72 in order to isolate r.

r =\frac{3}{9}*\frac{7}{1} \\\\r=\frac{21}{9} \\\\r=\frac{7}{3}

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Please show me step by step so I can learn to explain it to my son.
aleksklad [387]
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

<u>Step 1:  Find the area of the trapezium</u>:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

<u>Step 3: Find the shaded region:</u>

240 - 36 = 204 yd²

Answer: 204 yd²

6 0
2 years ago
Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF
alexira [117]

Answer:

k =  6 : 5 : 4

Step-by-step explanation:

BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4

EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4

5 0
2 years ago
Find the surface area of the figure
saveliy_v [14]

Answer:

36 in over 2

Step-by-step explanation:

4 0
2 years ago
How many 1/3 lb bags of trail mix can josh make from 5/6 lb of trail mix?
PSYCHO15rus [73]

the large bag is 5/6 lb, the smaller bags will be 1/3 lb, so it should be 5/6 ÷ 1/3

\bf \cfrac{5}{6}\div \cfrac{1}{3}\implies \cfrac{5}{\underset{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies \cfrac{5}{2}\implies 2\frac{1}{2}

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20%3C%20%20-%203" id="TexFormula1" title=" \frac{y}{2} &lt; - 3"
Allisa [31]
Hey!


Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get y on its own.

<em>Original Equation : </em>
\frac{y}{2} < -3

<em>New Equation {Changed by Multiplying 2 on Both Sides} :</em>
\frac{2y}{2} < 2 ( -3 )

And we simplify the equation to get our answer.

<em>Old Equation :</em>
\frac{2y}{2} < 2 ( -3 )

<em>New Equation {Changed by Simplification} :</em>
y < -6

<em>So, the equation \frac{y}{2} < -3 simplified is</em>  y < -6.

Hope this helps!


- Lindsey Frazier ♥
8 0
2 years ago
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