3 years ago

What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?

Mathematics

1 answer:

Reika [66]3 years ago

8 0

The answer is x=12 :))

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Use a number line to help, or a tape diagram.

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3 years ago

A rectangular sheet of paper is folded diagonally from A to C what is the length of side B

sveta [45]

Answer:

AC = $\sqrt{AB^2 + BC^2}$

Step-by-step explanation:

Here we have to draw the figure.

When the rectangle is folded A to C. we get a right triangle.

Here we have to use the Pythagorean theorem to find the side lenght of B.

The sides length of B is AC.

By the Pythagorean theorem, the sum of the squares of the sides is equal to the square of the hypotenuse.

Therefore,

AC^2 = AB^2 + BC^2

Taking the square roots on both sides, we get

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2 years ago

EASY 7TH GRADE MATH 6 out of 8 dentists recommend crest toothpaste. In a group of 156 dentists, how many of them recommend crest

Novay_Z [31]

Answer:

117

Step-by-step explanation:

6/8 = ?/156

156/8 = 19.5

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2 years ago

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Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,

Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

$\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}$

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3 years ago