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Masja [62]
3 years ago
6

What percent of the recorded time did the worker spend traveling?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
If you have a total time of 88 hrs, and you can see that totally the worker spend 11 hrs on travel, you can easily deduce that the percentage be

P = \frac{11}{88}= 0.125 = 12.5\%


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If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons
guapka [62]

\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x

4 0
3 years ago
A jogger traveled at the speed of 8 km/h for 15 minutes.How <br> far did she run
pickupchik [31]
The magic triangle is D and S and T where D is over S and T so if D is over s and t u dived and if the question is looking for D you would multiply S and T so 8 is the S i'm guessing and 15 is the T so ur gonna be looking for D so D=120 S=Speed D=Distance and T=time 
i hope i helped you good luck   
5 0
3 years ago
Show all your work to find the axis of symmetry of f(x) = −2(x − 4)^2 + 2.
Naya [18.7K]

Answer:

-2(x^2+15)

Step-by-step explanation:

f(x) = −2(x − 4)^2 + 2.

Expanding (x-4)^2

(x-4)(x+4)

x(x+4)-4(x+4)

x^2+4x-4x-16

x^2-16

F(x) = -2(x^2-16)+2

-2x^2-32+2

-2x^2-30

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6 0
3 years ago
Keith bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He pa
ss7ja [257]

Answer: desktop = $1750, laptop = $1900

<u>Step-by-step explanation:</u>

Let x represent the cost of the desktop

then x + 150 is the cost of the laptop.

.07x + .055(x + 150) = 227

.07x + .055x + 8.25 = 227

.125x = 218.75

x = 1750

desktop (x) = $1750

laptop (x + 150) = $1750 + $150 = $1900

5 0
3 years ago
Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.
masha68 [24]

By the binomial theorem,

7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0
3 years ago
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