Mr. Thomas sleeps for a third of the day, grades papers for an eighth of the day, and drive his car for a twelfth of the day, how many more hours are left to do other things?

Answers

Answer 1
Answer:

Answer:

11 hrs

Step-by-step explanation:

12 - (1/3 + 1/8 + 1/12)

1/3 + 1/8 + 1/12 = (8+3+2)/24 = 13/24 (13 hrs of 24)

24 - 13 = 11 hrs


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It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gnome currently valued at £80,000. If the rate of inflation is correct:a) What will Jean-Claude's gnome be worth after 1 year?


b) What is the common ratio of the geometric progression?


c) What will Jean-Claude's gnome be worth after 10 years?


d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.

Answers

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

=  £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c )  worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x 1.02^k

1.5 = 1.02^k

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

What best describes the number 5? write prime, composite, neither prime nor composite, or both.

Answers

The number 5 is a prime because prime can be divided evenly by 1, or itself. And it must be a whole number greater than 1.

Here is an example:

5 can only be divided evenly by 1 or 5, so it is a prime number. But 6 can be divided evenly by 1, 2, 3, and 6 so it is NOT a prime number (it is a composite number).

So 5 is a prime number.

Hope I Helped You!!!

prime nothing can go into that number


The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.pls writ abt 1-2 sentences asap :(((

Answers

Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.

I don't understand number 25. Please I need an explanation.

Answers

First plot points J, K, and L randomly on a plane. Then, draw a line connecting J and K. Next, put a point on the line, JK named M. Now draw a ray from M to L connected the two points with an arrow at one end to indicate a ray.

Which statements are correct about quadrilaterals?Choose all answers that are correct.

A.
All squares are rhombuses.

B.
All rectangles are parallelograms.

C.
All rhombuses are trapezoids.

D.
All 4-sided shapes have at least one pair of parallel sides.

Answers

Hello,

A: True (4 sides equals in a square)

B: True all rectangle has a symetry centre

C: True (2 sides // in a rhombuse since is a parallelogram)

D:False

Which ordered pair is a solution to the equation: y - 3 = x+2?a) (5,10)
b) (0,0)
c) (7,6)
d) (10,5)

Answers

Let's solve for x.y−3=x+2Step 1: Flip the equation.x+2=y−3

Step 2: Add -2 to both sides.x+2+−2=y−3+−2x=y−5

Answer:

x=y−5
Answer:
d) (10,5)

to check:
(5,10)
x=5
y=10

y-3=x+2
10-3=5+2
7=7