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Ksenya-84 [330]
3 years ago
12

How do i solve 4x-5y=-19 and 3x-7y=18?

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0
4x-5y=-19= 0
3x-7y=18=0
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Three times a number, added to 9 is 33 find the number
kozerog [31]
3 x 8 = 24 
24 + 9 = 33

"the number" = 8
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3 years ago
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(1/2)2 = base y exponente
Vladimir [108]
Divides el (1/2) q es 2 pq 2*1=2 y después multiplicas 2*2=4 entonces la respuesta es 4 y es base creo
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3 years ago
Find the total surface area. Round to the nearest hundredth if necessary.
trasher [3.6K]

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

7 0
2 years ago
A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin
Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2}   or  \frac{30-21.21 }{2}\\ = \frac{51.21 }{2}   or  \frac{8.79}{2}\\ = 25.605 or 4.395

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0
3 years ago
7%of what length is 200 feet?
Aneli [31]

Step-by-step explanation:

Let the length be x

7% of x = 200ft

7/100 × x = 200

7x/100 = 200

7x = 200 × 100

7x = 20000

x = 20000/7

x = 2,857.14

8 0
3 years ago
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