Answer:
The answer is 3093.
3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)
Step-by-step explanation:
We have a finite series.
We know the first term is 48.
We know the last term is 1875.
What are the terms in between?
Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.
The common ratio be found by choosing a term and dividing that term by it's previous term.
So 120/48=5/2 or 2.5.
The first term of the sequence is 48.
The second term of the sequence is 48(2.5)=120.
The third term of the sequence is 48(2.5)(2.5)=300.
The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.
The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.
So we are done because 1875 was the last term.
This just becomes a simple addition problem of:
48+120+300+750+1875
168 + 1050 +1875
1218 +1875
3093
12x +6 = 18 - 48 - 9x
-9x. -9x
3x +6 =18-48
-6. -6
3x = 18 -48-6
3x = -36
/3. /3
X= -12
Answer x=-12
9514 1404 393
Answer:
y = 4x + 16
Step-by-step explanation:
You can replace the point coordinates in the given point-slope form to get ...
y - 32 = 4(x -4)
Then rearrange to put this into slope-intercept form.
y = 4x -16 +32 . . . . eliminate parentheses, add 32
y = 4x +16 . . . . . . . . simplify
Answer:
326
Step-by-step explanation:
First you find the area of the triangles. Since squares have equal sides we know that the triangle has a side of 20 and 12. We plug this information into the formula A=20x12/2 which equal 120 but since we have 2 triangles we multiply by 2 and get 240. Then we find the area of the square which is 400 when you multiply 20x20. Then you find the area of the circle which is 3.14x10^2 which equals 314. You add 240 and 400 to get 640. You subtract 460 from 314 and get 326.
Answer:
When reading decimal numbers, read the whole number part as normal, use "and" to represent the decimal point and continue reading the number as normal, but end with the last place value.
For example: how do you read 36.57 --> thirty-six and fifty-sevens hundredths
When writing decimals it is like reading them. You write the whole part as normal, and write a decimal to represent where you would say "and". Continue writing the number.
For example: Write eighty-five and sixty-four hundredths --> 85.64
Step-by-step explanation: