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yulyashka [42]
2 years ago
12

Suppose that electricity for the Lopez family toaster cost Ghc8.00 per hour. How much money will the Lopez family pay per year i

f they use the toaster 3 hours per week​
Mathematics
1 answer:
aivan3 [116]2 years ago
8 0
The Answer is 1248 they should pay
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At a hardware store, each wooden plank costs $3.57. How much do 12 planks cost?
777dan777 [17]
To find this answer, we need to multiply 3.57 by 12.
3.57 * 12 = 42.84
Therefore, 12 planks will cost $42.84.
5 0
3 years ago
Read 2 more answers
The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take
marissa [1.9K]

If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.

By the same logic, the second gardener completes 1/7 of the job per hour.

So, if they work together, they complete

\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{7+6}{42}=\dfrac{13}{42}

of the job per hour.

So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

\dfrac{42}{13}\cdot 60 \approx 194

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.

8 0
3 years ago
What is 4x+3y+2z and 3x+5y+3z?
My name is Ann [436]

Answer:

Step-by-step explanation:

7x + 8y + 5z

I put the equations in parentheses, assuming that I would be adding both of the equations together. Then, I removed them and combined the like terms. I used two calculators to check my answer, and this should be correct.

6 0
3 years ago
Read 2 more answers
the surface area of earth is about 196.9 million square miles. The land area is about 57.5 million square miles, and the rest is
kow [346]

Answer: 29.2%

Step-by-step explanation:

The total surface area is 196.9 million square miles and out of this, land occupies 57.5 million square miles.

The probability that a meteorite would hit land is the percentage of and out of the entire planet area:

= Land area/ Total earth surface area

= 57.5/ 196.9

= 29.2%

8 0
3 years ago
Surface integrals using an explicit description. Evaluate the surface integral \iint_{S}^{}f(x,y,z)dS using an explicit represen
Jobisdone [24]

Parameterize S by the vector function

\vec r(x,y)=x\,\vec\imath+y\,\vec\jmath+f(x,y)\,\vec k

so that the normal vector to S is given by

\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=\left(\vec\imath+\dfrac{\partial f}{\partial x}\,\vec k\right)\times\left(\vec\jmath+\dfrac{\partial f}{\partial y}\,\vec k\right)=-\dfrac{\partial f}{\partial x}\vec\imath-\dfrac{\partial f}{\partial y}\vec\jmath+\vec k

with magnitude

\left\|\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}\right\|=\sqrt{\left(\dfrac{\partial f}{\partial x}\right)^2+\left(\dfrac{\partial f}{\partial y}\right)^2+1}

In this case, the normal vector is

\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=-\dfrac{\partial(8-x-2y)}{\partial x}\,\vec\imath-\dfrac{\partial(8-x-2y)}{\partial y}\,\vec\jmath+\vec k=\vec\imath+2\,\vec\jmath+\vec k

with magnitude \sqrt{1^2+2^2+1^2}=\sqrt6. The integral of f(x,y,z)=e^z over S is then

\displaystyle\iint_Se^z\,\mathrm d\Sigma=\sqrt6\iint_Te^{8-x-2y}\,\mathrm dy\,\mathrm dx

where T is the region in the x,y plane over which S is defined. In this case, it's the triangle in the plane z=0 which we can capture with 0\le x\le8 and 0\le y\le\frac{8-x}2, so that we have

\displaystyle\sqrt6\iint_Te^{8-x-2y}\,\mathrm dx\,\mathrm dy=\sqrt6\int_0^8\int_0^{(8-x)/2}e^{8-x-2y}\,\mathrm dy\,\mathrm dx=\boxed{\sqrt{\frac32}(e^8-9)}

5 0
3 years ago
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