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MrRissso [65]
3 years ago
7

Find the solution of x – 13 = 25, and verify your solution using substitution.

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

x = 38

Step-by-step explanation:

x-13 = 25

Add 13 to each side

x-13+13 = 25+13

x = 38

Check

38-13 = 25

25=25

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vovangra [49]

Answer:

46

Step-by-step explanation:

7 0
3 years ago
A cylinder with a height of 12 cm is inscribed in a sphere with a radius of 10 cm. Find the lateral area of the cylinder. Answer
zalisa [80]

Answer:

256π

Step-by-step explanation:

Given that:

The height of the cylinder: 12 cm

The radius of the sphere : 10

Let r is the radius of the cylinder, use Pytagon

10² = r² + 6²

<=> r²  = 10² - 6²  = 64

<=> r = 8

Hence,  the lateral area of the cylinder

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4 0
3 years ago
Use the following information for questions 1 through 6. The dietitian at a camp is planning breakfast for the first day of camp
Dima020 [189]

Answer:

Let x and y be the pieces of toast and sausage required.

Then the objective function is

Min Z=0.04x+0.08y

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Vitamin A, 2x+4y≥20

Vitamin B, 3x+1.5y≥15

Iron, 2x+2y≥16

Sausage, y≤4

The non-negative constraints are x≥0, y≥0

Thus, the linear programming model is

Min Z=0.04x+0.08y

Subject to,

2x+4y≥20

3x+1.5y≥15

2x+2y≥16

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x≥0, y≥0

1) There are two variables in the LP model. So, option (B) is correct.

2) The LP model contains four constraints (excluding the non negative constraints). So, option (D) is correct.

3) Solving the LP model using a software, we get the solution as

z=0.4, at x=6 and y=2

So, The cost of the breakfast is $ 0.4. Option (B) is correct.

4) The breakfast should contains 6 toasts.

5) The amount of Vitamin B in the breakfast = 3(6)+1.5(2)=18+3=21 milligrams. So, option (C) is correct.

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Step-by-step explanation:

4 0
3 years ago
5 ( 3 squared x) + 9 ( 3 squared x)
yulyashka [42]

Answer:

42x^2

Step-by-step explanation:

5(3x^{2} )+9(3x^2)\\\\=(5+9)(3x^2)\\\\=14(3x^2)\\\\=42x^2

5 0
3 years ago
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BlackZzzverrR [31]

Answer:

$100.75

Step-by-step explanation:

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