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uranmaximum [27]
4 years ago
13

The ratio of the length to the width of a rectangle is 5:4. The length of the rectangle is 60 inches. What is the width?

Mathematics
2 answers:
Firlakuza [10]4 years ago
7 0

\huge\boxed{\text{48 inches}}

We know that \frac{\text{length}}{\text{width}} = \frac{60}{\text{width}} = \frac{5}{4}.

Solve using cross multiplication of the last two fractions. I will use w to represent the width of the rectangle. 60*4=w*5

Multiply. 240=5w

Divide both sides of the equation by 5. \boxed{48}=w

8_murik_8 [283]4 years ago
3 0

\text{Hello there!}\\\\\text{In this question, we're trying to find the width}\\\\\text{We can find the width with the given information from the question}\\\\\text{We know that the ratio for length to with is 5:4, respectively.}\\\\\text{We also know that the length of the rectangle is 60}\\\\\text{We need to get from5 to 60 in the ratio, so we would multiply}\\\text{by 12}\\\\\text{Now, we would multiply 4 by 12, since whatever you do to the left, you}\\\text{do to the right}\\\\4*12=48

\text{The ratio would be 60:48}\\\\\text{The width of the rectangle is 48 inches}\\\\\large\boxed{\text{Width}=48\,\text{ inches}}\\\\\text{I hope this helps!}\\\text{Best regards,}\\\text{MasterInvestor}

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A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd num
Makovka662 [10]

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}

Probability of 3 is half of 1/5.

P(X = 3) = \frac{1}{10}

Probability of 5 is 1/5. So

P(X = 5) = \frac{1}{5}

Probability of drawing an odd numbered ticket:

p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

3 0
3 years ago
write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o
Alenkinab [10]
\bf f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}\\\\
f(x)=&{{  A}} \left|{{ B }}x+{{  C}}  \right|+{{  D}}
\\\\
--------------------\\\\

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\
\left. \qquad   \right.  \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\
\left. \qquad   \right.  \textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind, let's see,
 
\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.
5 0
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What is the number below that subtracted 7 from four times it multiplied and equals 1?
Dvinal [7]

Answer:

a.4

Step-by-step explanation:

because

4 0
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masha68 [24]

Answer:

C = 24.5 in

Step-by-step explanation:

Formula to find the circumference of a circle is :

C = 2πr

Here,

r ⇒ radius

So let us solve now.

C = 2πr

C = 2 × π × r

C = 2 × 3.14 × 3.9

C = 24.492 in

So, they've asked for nearest 10th.

Therefore, the answer will be 24.5 in.

Hope this helps you :-)

Let me know if you have any other questions :-)

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Ksivusya [100]

Answer:

8 cookies

Step-by-step explanation:

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6 0
3 years ago
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