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Oliga [24]
3 years ago
13

Sandy is Working with a carpenter to frame a house. They are using 8 foot long boards, but each board must be cut to be 7 feet,

10 3/4 inches long. How much is cut off each board?
a. 3/4
b. 1 1/4
c. 1 3/4
d. 7
Mathematics
2 answers:
miv72 [106K]3 years ago
5 0

Answer:

1\frac{1}{4}

Step-by-step explanation:

Working with a carpenter to frame a house. They are using 8 foot long boards.

each board must be cut to be 7 feet  10 3/4 inches long

to find how much is cut off each board. we need to subtract 7 feet 10 3/4 inches from 8

8 feet - 7 feet = 1 feet

we know 1 feet = 12 inches

now we subtract 10 3/4 from 1 feet

12 inches - 10 3/4 inches = \frac{12}{1} - \frac{10*4+3}{4} = \frac{48}{4} - \frac{43}{4}=\frac{5}{4}

5/4 is written as 1  1/4

1\frac{1}{4}

Flauer [41]3 years ago
4 0
8 feet minus 7 feet, 10 3/4 inches is equal to 1 foot minus 10 3/4 inches, or 12-(10 3/4) inches. This is 1 1/4 inches.
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Answer:

Below

I hope its not too complicated

x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}

Step-by-step explanation:

5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}

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\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x

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