Determine the 30th term of the sequence -10 -15 -20

Answers

Answer 1
Answer: the 30th term is -155
Answer 2
Answer: 190. Count it out on your fingers, starting with -10,-15, and -20. Then count out both hands. 

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The ratio 3/8 to 4/9 has a unit rate of 1/6 true or false

Answers

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. the ratio 3/8 to 4/9 has a unit rate of 1/6 is false.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given ratio is  three by eight to four by nine

3/8 to 4/9

This can be written as 3/8 :4/9

and also we can write

(3/8)/(4/9)

When a fraction is divided by another fraction, the denominator fraction is multiplied by reciprocal to the numerator.

So

3/8×9/4

27/32

3/8 to 4/9 has a unit rate of 27/32 but not 1/6.

Hence the ratio 3/8 to 4/9 has a unit rate of 1/6 is false.

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Answer:

The ratio 3/8 to 4/9 has a unit rate of 1/6 true or fals

Step-by-step explanation:

The ratio 3/8 to 4/9 has a unit rate of 1/6 true or fals

The sum of three consecutive even numbers is 450. What is the 3rd number?​

Answers

The three consecutive integers that add up to 450 are 149, 150, and 151.

What are the consecutive numbers?

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of three consecutive even numbers is 450

We need to find the 3rd number of the integers.

Now assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 450

Combine the like terms;

3x+3=  450

X=149

Thus the second number is 149 + 1 and the third number is 149 + 2.

Hence, the 3rd number of the integers would be 151.

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Step-by-step explanation:

Which means that the first number is 149, the second number is 149 + 1 and the third number is 149 + 2. Therefore, three consecutive integers that add up to 450 are 149, 150, and 151. We know our answer is correct because 149 + 150 + 151 equals 450 as displayed above.

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The ratio of the diameters of two circles is 3:5. The circumference of the larger circle is approximately 113.1 m. What is the approximate circumference of the smaller circle?7.5 m

22.6 m

67.9 m

188.5 m

Answers

Given:
diameter of two circles  3:5
small circle : 3
large circle : 5

circumference of two circles x : 113.1
small circle : ? 
large circle : 113.1 m

3:5 = x :113.1
3*113.1 = 5*x
339.3 = 5x
339.3 / 5 = x
67.86 = x

The approximate circumference of the smaller circle is 67.9 m.

Answer: C

67.9 m

Step-by-step explanation:

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it take for 3,000 bacteria to reduce to 375? It takes minutes for the number of bacteria to reduce from 3,000 to 375.

Answers

This is a geometric progression:
Tn=a₁r^(n-1)
 

In this case:
Tn=a₁r^n

Because:
T₁  corresponds to 0 minutes  ⇒T₁=3000(1/2)⁰=3000
T₂  corresponds to 1 minute  ⇒ T²=3000(1/2)¹=1500 ...

Tn=375
a₁=3000
r=1/2
n=number of minutes
Therefore:

375=3000*(1/2)^n
375/3000=(1/2)^n
0.125=(1/2)^n
Ln 0.125=ln [(1/2)^n]
Ln 0.125=n Ln(1/2)
Ln 0.125=n [Ln1-Ln2]
Ln 0.125=n[0-Ln 2]
n=Ln 0.125 / (-Ln2)
n=3


answer: 3 minutes.

What is 1 7/9 - 4/9?Express the answer in simplest form
What is ?



Express the answer in simplest form
what is 2 5/12 -(-2 1/6)

Answers

1 7/9 - 4/9

Convert 1 7/9 to an improper fraction:

16/9 - 4/9

Subtract the numerators together:

12/9

Convert to a whole number:

1 1/3
The answer is 1 3/9 which turns in to 1 1/3

Its says use rounding or compatible numbers to estimate the sum and example 198 + 727 ans is 200+725=925 I still don't understand how to do it. Heres a problem 87+34 and here is one 222+203

Answers

Answer:

a) 121

b) 425  

Step-by-step explanation:

We are given the following information in the question:

198 + 727 + 200 + 725 = 925

This can be explained with the help of associative of addition and subtraction and commutative property of the addition.

Associative property:

a+(b+c) = (a +b )+c

Commutative property:

a+b = b+a

198 + 727 \n= 198 + ( 727 + 2)\n=198 + ( 2 + 727)\n=(198 + 2) + 725\n= 200+ 725 \n= 925

a)

87 + 34\n= 87 + ( 31 + 3)\n=87 + ( 3 + 31)\n=(87 + 3) + 31\n=90 + 31\n=121

b)

222 + 203\n=(220 + 2) + 203\n=220 + ( 2 + 203)\n=220 + 205\n=425

Okay, rounding is when you take a number such as 198 and imagine that it is something easier to do math with, like 200. 
200 is easier to add with because there are zeroes in the tens place and the ones place. 
725 is easier to add with than 727 because the ones place digit, (5), is an easier base to use, just like zero. 
Using the easier numbers, 200 + 725 = 925
Using the original numbers, 198 + 727 + 925
*Because you took two pieces from the 727 and added them to 198, the four numbers in this problem are compatible. 
Compatible numbers are when you use numbers that are close to the original ones and make it easier to do the problem in your head. 
____
In the case of 87+ 34, the simplest numbers to use would be 90 instead of 87 and 35 instead of 34. Not as easy as the first equation, but still doable. 
90+35+125
    or
87+34=121
____
In the case of 222+203, the simplest substitutions are 220 and 200. 
220+200=420
or
222+203=425
Hope this helps, 
Ahawk