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VMariaS [17]
3 years ago
13

Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensio

ns of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
Mathematics
2 answers:
victus00 [196]3 years ago
5 0
1/5=x/4
0.8ft
1/5=x/6
1.2ft
Dimensions are 0.8ft X 1.2ft.
Alborosie3 years ago
4 0

Answer:

The dimensions of the model bed she built are 0.8 feet×1.2 feet.

Step-by-step explanation:

Kelly was building a bed for her dollhouse.

She used her bed, which is 4 feet × 6 feet, as a guide.

She scaled down the dimensions of her bed by a factor 1 over 5 i.e. the actual dimension she would have used will be 1/5 times the dimensions of her bed.

4 feet= (1/5)×4=0.8 feet

and 6 feet=(1/5)×6=1.2 feet.

Hence  the dimensions of the model bed she built are 0.8 feet×1.2 feet.

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Pls answer! i will mark brainliest!
Volgvan

Answer:

3 inches

Step-by-step explanation:

(14+2x) × (15+2x) = 2(14×15)

210 +30x +28x + 4x² = 420

4x² + 58x - 210 = 0

2x² + 29x - 105 = 0

2x² + 35x - 6x - 105 = 0

x(2x + 35) - 3(2x + 35) = 0

(x - 3)(2x + 35) = 0

x = 3, -35/2(not possible)

3 0
3 years ago
5/4 to 3/8 as a percent change
Digiron [165]
Well, what's the diffrence from 5/4 to 3/8?

\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&100\\\\
\frac{7}{8}&x
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
\\\\\\
\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}
5 0
3 years ago
A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only
Nadusha1986 [10]

Answer:

The sample size required is, <em>n</em> = 502.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}

The margin of error is:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of <em>z</em> for 97.5% confidence level is:

<em>z</em> = 2.24

Compute the sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

       n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}

           =[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502

Thus, the sample size required is, <em>n</em> = 502.

4 0
3 years ago
Candace used 5/8 of her savings to buy a $531.25 laptop.  How much did she have in savings before purchasing the laptop?
Serjik [45]
x-savings\\\\\frac{5}{8}x=531,25\ \ \ \ |\cdot\frac{8}{5}\\x=850\\\\Candance\ had\ \$ 850\ savings.
3 0
3 years ago
What is 57.42 + 4 + 1.02? Pls help and I need a small simple explanation...
vova2212 [387]

Answer:

62.44

Step-by-step explanation:

Line up the decimals and then add them up like usual, and then place the decimal where it should go. THen you get your answer.

Hope this helped!

6 0
4 years ago
Read 2 more answers
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