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Akimi4 [234]
3 years ago
9

Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cos

t of electricity for Carlos's house in one day.
Mathematics
1 answer:
irga5000 [103]3 years ago
8 0
Answer: I think the answer is $33.42

Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42
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Steven just got a new summer job painting fences in his neighborhood. He will be paid $7.25 an hour. His first customer paid him
mote1985 [20]

Answer:

a). The equation; 7.25 h-36.25=0

b). total number of hours Steven work=5 hours

Step-by-step explanation:

Part A

The expression for the total money earned is as follows;

T=E×h

where;

T=total earnings

E=earnings per hour

h=number of hours worked

In our case;

T=$36.25

E=$7.25

h=h

replacing;

36.25=(7.25×h)

36.25=7.25 h

The equation would be; 7.25 h=36.25, or 7.25 h-36.25=0

Part B

7.25 h=36.25

h=36.25/7.25

h=5

total number of hours Steven work=5 hours

5 0
3 years ago
Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
Hitman42 [59]
\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\

\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}

\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}

7 0
3 years ago
If you travel for 2 hours at an average speed of 60 miles per hour, how far did you
Bingel [31]

Answer: 120 miles

Step-by-step explanation:

In one hour you travel 60 miles

In 2 hours you travel 120 miles

Hope this helps!

8 0
3 years ago
PLEASE HELP ASAP!!! (No links)
marta [7]

Answer:

No it is not a solution

Step-by-step explanation:

To solve this, you should replace your (x,y) with (8,3)- 8 being your x value and 3 being your y value.

So this inequality, your y value is supposed to be bigger than the value of whatever 3x-4 equals.

So, your inequality should be 3>3(8)-4

3*8=24-4=20

So is 3>(greater than)20? No. Which then means that (8,3) is not a solution because it would make the inequality not true.

Hope this helps!

6 0
3 years ago
How old am i if 200 reduced by 2 times my age is 48?
pshichka [43]

Answer:

I am 76 years old.

Step-by-step explanation:

If my age is x years then:

200 - 2x = 48

-2x = - 152

x = 76.

4 0
4 years ago
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