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yawa3891 [41]
4 years ago
10

12% of a number is 48 find the number

Mathematics
2 answers:
Helga [31]4 years ago
6 0

Answer:

\huge\boxed{400}

Step-by-step explanation:

\sf Let \ the \ number \ be \ x.

\sf 12\% \ of \ x \ is \ 48, \ of \ refers \ to \ multiplication.

12\% \times x = 48

x= \frac{48}{12\%}

x = 400

Yanka [14]4 years ago
5 0
<h2>Answer:</h2><h2><em>4</em><em>0</em><em>0</em></h2>

Step-by-step explanation:

12% × ? = 48

? =

48 ÷ 12% =

48 ÷ (12 ÷ 100) =

(100 × 48) ÷ 12 =

4,800 ÷ 12 =

400;

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belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

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1 year ago
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I’ll help in a second
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Scorpion4ik [409]
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3 years ago
Express the mixed number 6 3/8 as a improper fraction? please show work.
Mkey [24]

6 3/8

Multiply the whole number with the denominator

6*8= 48. Add 3 ( numerator) with 48.

48+3= 51

51/8

Answer: 51/8

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4 years ago
Calculate the simple interest on $4,000,000 at 5% per annum for 2 years.
Dmitry_Shevchenko [17]

Answer:

400,000

Step-by-step explanation:

In total, you would be paying 400,000 for 2 years for the interest.

So, for one year, the interest would be 200,000. The monthly rate would be 16,666.6667.

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