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Ulleksa [173]
3 years ago
15

PLS HELP how many solutions does this system of equations below have? y=8x+4 y=8x+3

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
There are to be exact only 2 ways to answer this equation because of the way math was made.
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The perimeter of a rectangular skating rink is 530 feet. If the length is 5 feet more than 3 times the
vladimir2022 [97]

Answer:

length:  200

width:  65

Step-by-step explanation:

length:  3w + 5

width:  w

perimeter = 2L + 2W

530 = 2(3w + 5) + 2w

530 = 6w + 10 + 2w

530 = 8w + 10

520 = 8w

w = 65

length:  3w + 5 = 3(65) + 5 = 200

width:  w = 65

8 0
3 years ago
What is 2+2 pls help
Alexandra [31]

Answer:

4

Step-by-step explanation:

2 + 2 += 4

This can be solved by addition.

7 0
2 years ago
Write the polynomial as a product of a difference and a sum: b^2-4/9
Alenkinab [10]

Answer:

\sf \huge \boxed{ \boxed{(b  +   \frac{2}{3} )(b -  \frac{2}{3} )}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • algebra
  • PEMDAS
<h3>tips and formulas:</h3>
  • {x}^{2}  -  {y}^{2}  = (x + y)(x - y)
<h3>let's solve:</h3>
  1. \sf \: rewrite : \\ (  {b})^{2}  - (  \frac{2}{3}  {)}^{2}
  2. \sf use \: the \: formula :  \\ (b  +   \frac{2}{3} )(b -  \frac{2}{3} )

4 0
3 years ago
14.
Charra [1.4K]

a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b. For the cake to have the required dimensions, they should order 1 kg of cake.

a.

The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.

<h3>Area of a cone</h3>

The area of a cone, A = πr² + πr[√(h² + r²)] where

  • r = radius of cone and
  • h = height of cone

Now given that the base circumference of the cone is C = 44 cm. So,

C = 2πr where r = radius of base

So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm

The height of the cone, h = 24 cm

So, A = πr² + πr[√(h² + r²)]

A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]

A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]

A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]

A = 49π cm² + 49π cm[√(17 cm²)]

A = 49π [1 cm² + 4.123 cm²)]

A = 49π [5.123 cm²)]

A = 251.032π

A = 788.64 cm²

Since the area of one cap is A = 788.64 cm²,

the area of 4 caps is A' = 4A

= 4 × 788.64 cm²

= 3154.56 cm²

So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b.

For the cake to have the required dimensions, they should order 1 kg of cake.

To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.

<h3>Volume of a cylinder</h3>

The volume of a cylinder is V = πd²h/4 where

  • d = diameter of cake = 24 cm and
  • h = height of cake = 14 cm

Substituting the values of the variables into the equation, we have

V = πd²h/4

V = π(24 cm)²(14 cm)/4

V = π(576 cm)²(14 cm)/4

V = 8064π cm³/4

V = 2016π cm³

V = 6333.45 cm³

So the volume of the cake is 6333.45 cm³

Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm =  974.4 g = 0.974 kg ≅ 1 kg.

So, for the cake to have the required dimensions, they should order 1 kg of cake.

Learn more about volume of a cake here:

brainly.com/question/27570775

#SPJ1

5 0
1 year ago
Standard to factored form
Maksim231197 [3]

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

7 0
3 years ago
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