9514 1404 393
Answer:
60, 57, 54, 51, ...
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.
a10 = 33 = a1 +d(10 -1)
a22 = -3 = a1 +d(22 -1)
Subtracting the first equation from the second, we get ...
(-3) -(33) = (a1 +21d) -(a1 +9d)
-36 = 12d
-3 = d
Using this value in the first equation, we can find a1.
33 = a1 +9(-3) = a1 -27
60 = a1 . . . . . . . . . . . . . . add 27 to both sides
So, our sequence has first term 60 and a common difference of -3.
The first 4 terms are ...
60, 57, 54, 51, ...
Answer:
$350 (profit)
Step-by-step explanation:
add the expenses together and subtract the product from the revenue
9,000 + 200 = 9,200
9,550 - 9,200 = 350
The answer is 8
you would multiply 10,560 by 4,because there's 4 half hours in 2 hours, and then you get 42,240 and divide that number by 5,280 and you end up with 8.
Answer:
complementary angles, x=19
Step-by-step explanation:
since the two parts of the angle add up to 90, they are complementary angles.
you can find x by adding them and setting it equal to 90:
3x-2+2x-3 = 90
5x-5 = 90
5x = 95
x = 19
Use the distributive property to multiply 1/5 by 4-3x.
Multiply 1/5 and 4 to get 4/5.
Multiply 1/5 and -3 to get -3/5.
Use the distributive property to multiply 1/7 by 3x-4.
Multiply 1/7 and 3 to get 3/7 & 1/7 × -4 to get -4/7.
Subtract 
from both sides.
Combine 
and 
to get 
.
Subtract 4/5 from both sides.
The least common multiple of 7 and 5 is 35. Convert -4/7 and 4/5 to fractions with denominator 35.
Because 
and 
have the same denominator, subtract them by subtracting their numerators.
Subtract 28 from -20 to get -48.
Multiply both sides by 
, the reciprocal of 
.
Multiply 
by by multiplying the numerator by the numerator and the denominator by the denominator.
Carry out the multiplications in the fraction 
.
Reduce the fraction 1680/1260 to its lowest terms by extracting and cancelling out 420.
