Suppose the repeated pattern in 0.020020200202002...continues forever.Is this number rational?A)Yes,because the number can be written as the quotient integers.
B)Yes,because the number is terminating decimal.
C)No,because the number is not terminating decimal.
D)No,because the number is repeating decimal.

Answers

Answer 1

Answer: Yes. Any decimal that repeats the same pattern forever is rational,
because it can be written as the quotient of integers.

This one can be written as 2,002 / 99,999 .

Answer 2

Answer: the answer is a yes it is a rational number

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What is the solution to the system of equations?x + y = 5 x - 2y = 2 (_,_)

Write 144 an exponent by using 12 as the base

Answers

You would write 12². 12 times 12 equals 144.

Three hundred vehicles are parked in a parking garage. Seventy percent of the vehicles are midsized cars. Which equation can be used to find the number of midsized cars in the parking garage?

Answers

Answer:

$0.70*300=x$

Step-by-step explanation:

Let the number of mid sized cars in the parking garage be = x

Total vehicles parked in the garage = 300

And out of 300, 70% are mid sized.

So, $0.70*300=x$

Therefore, x = 210

So, number of mid sized cars in the garage are 210.

300 × .7 = 210

210 midsize cars are in the parking garage

El largo de un rectangulo se incrementa 15 % y el ancho del rectangulo se incrementa por 20 % determina el porcentaje en que el area se incrementa

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QUE QUIERE DECIR CON ESTA PREGUNTA

Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?a) 4
b)6
c)8
d)18

Answers

A rectangular prism is defined by three lengths.

We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our volume.

Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.

To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
(3 × 6 × 1 is a repeat.)
3 × 3 × 2 is new, though
(2 × 9 × 1 is a repeat...)
(2 × 3 × 3 is a repeat...)
(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)

There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.

paige has a garden in the shape of a circle. The radius of the garden is 4 feet. In the center, you place a birdbath with a radius of 1 foot. What is the area left for planting around the bath? Use 3.14 to approximate pi. please help thanks

Answers

ara=pir^2
plantingarea=gardenarea-birdbath
leave in terms of pi first

gardenradius=4
gardenarea=pi4^2=pi16=16pi

birdbathradius=1
birdbatharea=pi1^1=1pi=pi

plantingarea=garden-birdbath=16pi-pi=15pi

aproxpi=3.14
3.14*15=47.2 ft^2 for planting

Answer:

Step-by-step explanation:

its 47.1 ft^2

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.What is the approximate volume of the tent?
Use 3.14 to approximate pi, and express your final answer to the nearest tenth.
______ft3

Answers

Here's the formula for the volume of a cone:

$V=(1)/(3)\pi\ r^2h$

Plug in 3.14 for $\pi$ .
Plug in 6 for the height $h$ .
Our radius is half of our diameter. $r=6$ .

$V\approx\frac13*3.14*6^2*6$

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...

$V\approx226.08$

Rounding to the nearest tenth...

$\boxed{V\approx226.1\ ft^3}$

Cone formula: 1/3( $\pi r^(2) h)$

Step 1(Fill in formula): 1/3((3.14)( $6^(2)$ )(6))
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³

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