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Tju [1.3M]
3 years ago
14

Catherine studied for 45 minutes for her science test. This was 20 minutes less than she studied for her algebra test. Write and

sovle a subtraction equation to find how long she studied for the algebra test.
Mathematics
2 answers:
melomori [17]3 years ago
7 0

Answer:

65

Step-by-step explanation:

45 plus 20

Dvinal [7]3 years ago
5 0

Answer:

65min.

Step-by-step explanation:

45min. is 20min. less than _______

45 = x - 20

x = 45 + 20

x = 65

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Solve the given differential equation by using an appropriate substitution. the de is homogeneous. (y2 yx) dx − x2 dy = 0
Schach [20]

The solution for the given differential equation is lnlxl = \frac{-x}{y} +C

Given,

(y^{2} +y^{x} )dx - x^{2} dy =0

Here,

x = vy, dx = vdy + ydv

y = ux, dy = udx + xdu

Then,

((ux)^{2} +(ux)x)dx-x^{2} (udx+xdu)=0\\=u^{2} x^{2} dx+ux^{2} dx-x^{2} udx-x^{3} du=0\\=u^{2} x^{2} dx=x^{3} du\\=\frac{x^{2} }{x^{3} } dx=\frac{1}{u^{2} } du

Now,

\int\limits^a_b {\frac{1}{x} } \, dx =\int\limits^a_b {u^{-2} } \, du

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lnlxl=\frac{-1}{u} +C

y = ux

u = \frac{y}{x}

That is lnlxl =\frac{-x}{y} +C

Learn more about differential equation here: brainly.com/question/21852102

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8 0
2 years ago
Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first four terms of the g
antiseptic1488 [7]

The 1st 4 numbers in this sequence will be 2,10,50,250 as the common multiplier=5

So sum of all 4 numbers will be=2+10+50+250=312 (Answer)

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option C , D , E

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Which rectangles have the same areas but greater perimeters than the one shown below? Choose all that apply.
Firlakuza [10]

The  rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.

<h3>What is area?</h3>

Area is the amount of space occupied by a two dimensional shape or object.

A rectangle is shown with a length and height of 6 ft. Hence:

Area = (6 * 6) = 36 ft²

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The  rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.

Find out more on area at: brainly.com/question/25292087

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