MATHEMATICS HIGH SCHOOL

Persons younger than 18 years old are not eligible to vote. Let a be age in years. Which inequality models this situation?

A.
a < 18 and a may be a negative number

B.
a < 18 and a must be a positive number

C.
a > 18 and a may be a negative number

D.
a > 18 and a must be a positive number

Answers

Answer 1
Answer: D 18 and must be a positive number

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Answers

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What is the value of the expression 2z + 2w when z=7 and w=5

Answers

Answer:

The solution is 24

Step-by-step explanation:

z = 7

w = 5

2z + 2w

we enter the numbers

2(7) + 2(5)

= 14 + 10

= 24

One half of the birds at the pet store are yellow. Tara buys one of the yellow birds. Then one third of the birds at the store are yellow. How many yellow birds were at the pet store before Tara bought one? Explain

Answers

x - all\ birds\n \n (1)/(2) x \ -\ the\ yellow\ birds\n \n (1)/(2) x-1=(1)/(3) x\ \ /\cdot6\n \n 3x-6=2x\n \nx=6\ \ \ \Rightarrow\ \ \ (1)/(2) x=(1)/(2) \cdot 6=3\n \n Ans.\ 3\ yellow\ birds
Well, y=ny
2(y-1)=ny
(where ny is not-yellow)
You get y=2y-2 or y=2. You had two yellow birds and two other types.

T/2+t/3=5 solve for t

Answers

(t)/(2)+(t)/(3)=5|\cdot6\n 6\cdot(t)/(2)+6\cdot(t)/(3)=6\cdot5\n3t+2t=30\n 5t=30|/5\n t=(30)/(5)\nt=6

If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon?

Answers

The area of a hexagon is given by (3sqrt(3) / 2) x a^2 where a is the side of the hexagon. Given that the ratio of the area of two similar hexagons is 5 : 2. This means that the ratio of the square of the sides is 5 : 2. Let the corresponding side in the other hexagon be x, then: 25^2 : x^2 = 5 : 2 625 / x^2 = 5 / 2 x^2 = (625 x 2) / 5 = 250 x = sqrt(250) = 15.8 Therefore, the corresponding side in the other hexagon is approximately 15.8

i’d have to say 15.81

The diagonals of a rhombus have lengths of 8 centimeters and 6 centimeters what's the perimeter of the rhombus

Answers

Diagonal 6cm = 3cm + 3cm = legs of right triangle within rhombus. 
Diagonal 8cm = 4cm + 4cm = legs of right triangle within rhombus. 
We need to find the side of the rhombus using the Pythagorean Theorem. 
After that, we use the formula P = 4s to find your perimeter. 
Let s = side of rhombus. 
3^2 + 4^2 = s^2 

9 + 16 = s^2 
25 = s^2 
5 = s 
Now that we know the side of the rhombus, apply P = 4s. 
P = 4(5) 
P = 20cm  
28 is the perimeter to the rhombus.
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