Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of a horizontal line is equal to the y-coordinate of the point that passes through it
so
In this problem, the line passes through the points
(-3.5,4),(0,4), and (6.2,4)
The y-coordinate is 4
The equation of the horizontal line is
y=4
therefore
Any point with the y-coordinate equal to 4, fall on this line
Example
(1,4) and (5,4)
Answer:
Step-by-step explanation:
Length=18
Width/Breadth =10
Height=2
The formula for a diagonal face of a cuboid is=√(l²+ b²)
Face diagonal=√(18²+10²)
= 20.59 to 2.d.p
The formula for the body diagonal of a cuboid is=√(l² + b² + h²)
Body diagonal=√(18² + 10² + 2²)
=20.69 to 2.d.p
Answer:
The least amount of numbers that he can work at his job to have enough for the headphones he wants is 17 hours.
Step-by-step explanation:
To find the number of hours you could divide the cost of the headphones by the amount he earns each hour so you would do $119/ 7 to get 17 and then you could check your answer with multiplication by multiplying 7 * 17 to get 119 which shows that he has to work at least 17 hours to get the headphones he wants.
$119 / 7 = 17
17 * 7 = 119
Answer:
180-1(2x-40)
180-1(2x)+(-1)(-40)
180+−2x+40
Combine Like Terms:
180+−2x+40=(−2x)+(180+40)
-2x+220
Step-by-step explanation:
