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2 years ago

Explain how you would find the sum 46+7

Mathematics

2 answers:

Licemer1 [7]2 years ago

6 0

6 and 7 is 13 so you would re-group 1 and leave the 3 and 4+1 is 5 so that would be 53

worty [1.4K]2 years ago

5 0

1. You would set them up:46+7

2. Next you would do 6+7 which equals 13

3. You would then bring down the 4

4. And last you get the answer:53

Hope this helped you!

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Step-by-step explanation:

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Square root it 25.98 about 26

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Find the mass of the triangular region with vertices (0, 0), (3, 0), and (0, 1), with density function ρ(x,y)=x2+y2.

ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region $\mathcal T$ by computing the double integral of the density function over $\mathcal T$ :

$\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy$

The boundary of $\mathcal T$ is determined by a set of lines in the $x,y$ plane. One way to describe the region $\mathcal T$ is by the set of points,

$\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}$

So the mass is

$\mathrm{mass}=\displaystyle\int_{x=0}^{x=3}\int_{y=0}^{y=1-x/3}(x^2+y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{x=0}^{x=3}\left(x^2y+\frac{y^3}3\right)\bigg|_{y=0}^{y=1-x/3}\,\mathrm dx$

$=\displaystyle\int_{x=0}^{x=3}\left(x^2\left(1-\frac x3\right)+\frac{\left(1-\frac x3\right)^3}3\right)\,\mathrm dx$

$=\displaystyle\frac1{81}\int_0^3(27-27x+90x^2-28x^3)\,\mathrm dx=\frac52$

6 0

3 years ago

jack paid $64 for two algebra and three geometry books. he paid $66 for three algebra and two geometry books. what is the cost o

kap26 [50]

Lets make the cost of the algebra textbook = x and the cost of the geometry book = y

2x+3y=64
4x+2y=66

now we get one of these equations in terms of one variable

2x+3y=64 ---> 2x=64-3y ---> x=32-1.5y

now we can plug that numeric value back into the other equation

4(32-1.5y)+2y=66

we can now simplify this equation in order to get the value of y

4(32-1.5y)+2y=66 ---> 128-6y+2y=66 ---> 128-4y=66 ---> -4y=-64 ---> y=16

4 0

3 years ago