MATHEMATICS HIGH SCHOOL

Liz wants to drink 1.5 litres of water each day. She buys the water in packs of 6 bottles. Each bottle contains 0.5 litres of water. How many packs of water does she need to buy for 10 days

Answers

Answer 1
Answer: (0.5 liter/bottle) x (6 bottles/pack) = 3 liters/pack

(10 days) x (1.5 liter/day) / (3 liter/pack) = 5 packs
Answer 2
Answer: 30 bottles are required

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The line y =3x-5 meet x-axis at the point M. The line 3y+2x=2 meets y-axis at point N. Find the equation of the line joining M and N in the form ax + by + c = 0 where: a,b,c are integers.

Rewrite each expression as a sum.12. - 8x2 + 3xy - 9x - 3

13. 2ab -- 5ab2 - 9a2b

Answers

13 ). 2ab + 5ab x 2 - 18ab

2ab + 10ab - 18ab

- 6ab

Answer= - 6ab

Find the domain of the parent function below.y=x^2
A.
all real numbers
B.
all positive numbers
C.
all negative numbers
D.
all real numbers except 0

Answers

Hello,

Answer A
There are no value to exclude with a square.

What is the sum of the first 30 odd numbers? How to calculate it without having to add all of them.

Answers

See that odd number are in a Aritmetic progression with a1 = 1 and r = 2

30th number of sequence is given by:

a_(30)=a_1+29r\n \n a_(30)=1+29*2\n \n a_(30)=59

Now you can calculate the sun by:

S_(30)=(30(1+59))/(2)=(30*60)/(2)=900

8x^6+6x^3+7 in quadratic form

Answers

8x+ 8x +8x +8x +8x +8x +6x+6x +6× + 7

Given that the following statement is true"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.

Answers

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

If the height of a right circular cone of volume 96 pie cm sq is 18cm, then what is the radius of the base of the right circular cone?OPTIONS-
A) 4cm
B) 6cm
C) 8cm
D) 9cm

Answers

The radius of the base of this right circular cone is equal to: A) 4cm

Given the following data:

  • Volume of right circular cone = 96\pi \;cm^2
  • Height of right circular cone = 18 cm

To determine the radius of the base of the right circular cone:

Mathematically, the volume of a right circular cone is given this formula:

V = \pi r^2(h)/(3)

Where:

  • V is the volume of a cone.
  • r is the radius of a cone.
  • h is the height of a cone.

Making r the subject of formula, we have:

r = \sqrt{(3V)/(\pi h) }

Substituting the given parameters into the formula, we have;

r = \sqrt{(3 * 96\pi)/(\pi * 18) }\n\nr = \sqrt{(3 * 96)/( 18) }\n\nr=√(16)

Radius, r = 4 centimeters

Read more on volume of a cone here: brainly.com/question/13677400
Via equation:
96pi=1/3 pi * r^2 * 18
16/3 pi=1/3 pi r^2
16 pi = pi r^2
16 = r^2
r = 4
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