MATHEMATICS MIDDLE SCHOOL

Complete the pattern 5,10,30,60,180, ?

Answers

Answer 1

Answer:

Let

$a1=5 \n a2=10\n a3=30\n a4=60\n a5=180$

we know that

$(a2)/(a1) = (10/5)=2 \n a2= a1*2$

$(a3)/(a2) = (30/10)=3 \n a3= a2*3$

$(a4)/(a3) = (60/30)=2 \n a4= a3*2$

$(a5)/(a4) = (180/60)=3 \n a5= a4*3$

The pattern is times two then times three then times two then times three

the sixth term will be

$a6=a5*2$

$a6=180*2=360$

therefore

the answer is

$360$

Answer 2

Answer: 540 is the answer because the doubled the first number to get the second number and multiplyed that by 3 to get the third number

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Solve each system of linear equations by substitution you will get an x, y point for solutionshow steps
y = x - 4 2x + y = 5

next set is
x + 4y = 6 y = -x + 3

next set is
x + 2y = 6 x - y = 3

next set is
3x - 2y = 9 y = 2x - 7

Answers

{y = x - 4

=> 2x+x-4=5 => 3x=9......x=3

{2x + y = 5 y=3-4=-1

________________________________________________

{x+4y=6

{y=-x+3

=> x+4(-x+3)=6

x-4x+12=6

-3x=-6

x=2

y=-2+3=1

y=1

___________________________________________________-

{x+2y=9

{x-y=3 .......x=3+y

3+y+2y=9

3y=6

y=2

x=3+2=5

x=5

_________________________________

{3x-2y=9

{y=2x-7

3x-2(2x-7)=9

3x-4x+14=9

-x=-5

x=5

y=2*5-7=10-7=3

y=3

Are any of the places shown in the table closer than 1/2 mile to school

Answers

It's really hard to tell for anyone who can't see the table.
Sadly, you've left ALL of us in that awkward status.

The function h(t) gives the height in feet of a rocket as a function of the time t in seconds since its launch. What is an appropriate domain for the function h(t)?A. All real numbers

B. All positive real numbers

C. All integers

D. All positive integers

Answers

B is the correct answer

A box contain 170 pens. 6 children each take 4 pens Hiw many pens are left in the box

Answers

6 children each take 4 pens
6 times 4=24
24 taken
170-taken=170-24=146
146 left

So you go 6 times 4 (24) you subtract that from 170.

What is the GCF of 15 and 30

Answers

The greatest common factor (GCF) of 15 and 30 is: 15

Factors of 15: 1, 3, 5, 15
Factors of 30: 1, 2, 3, 5, 6, 10, 15

The common factors between the two numbers are 1, 3, 5, and 15, but considering 15 is the highest number out of them all, it is the greatest common factor.

The greatest common factor of numbers 15 and 30 would be 15.

Given that,

The two numbers are 15 and 30.

Used the concept of the greatest common factor that states that,

The GCF is defined as the largest number that is a factor of two or more numbers.

For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12.

Here, The two numbers are 15 and 30.

Now, the factors of 15 and 30 are,

Factors of 15: 1, 3, 5, 15

Factors of 30: 1, 2, 3, 5, 6, 10, 15

Clearly, the largest factor that is shared by 15 and 30 is 15.

Therefore, GCF (15, 30) = 15

To learn more about the greatest common factor visit:

brainly.com/question/25266622

#SPJ6

30 POINTS The graph shows how many inches above the ground, y, the valve on a rotating tire is for a given number of seconds x.

How many degrees is the tire turning every second?

Enter your answer in the box.

Answers

Answer:

180 degrees per second.

Step-by-step explanation:

We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).

Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.

We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.

$\text{Degrees turned by tire in 2 seconds}=\frac{360^o}{2\text{ seconds}}$

As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,

$\text{Degrees turned by tire in every second}=\frac{180^o}{\text{ second}}$

Therefore, the tire is turning 180 degrees per second.

It takes 2 seconds for the tire to make a full revolution. This is evident from the plot - the curve has a period of length 2.

A full revolution of the tire is a turn of 360 degrees.

So the tire turns at a rate of (360 degrees)/(2 seconds) = 180 degrees/second.

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