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PolarNik [594]
2 years ago
9

If -7-4r=-15, what is the value of r/2 + 9

Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer:

Step-by-step explanation:

Consider -7-4r=-15. Adding 7 on both sides of the equation,

-4r=-8 --- r = 2

Plug in value of r in r/2 + 9 = 2/2+9 = 1+9 = 10

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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
PLEASE HELP!!!!!!!!!!
erik [133]

Answer: D

Step-by-step explanation:

7 0
2 years ago
Write an equation for the line that is parallel to the given line and that passes through the given point.
Rasek [7]
Parallel to y = 3/4x - 9 and passes through (-8, -18)

Identify the slope : our slope is 3/4

Remember that parallel equations have the same slope, so both slopes are 3/4

Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.

y = mx + b

(-18) = (3/4)(-8) + b

Simplify.

-18 = -6 + b

Add 6 to both sides.

-18 + 6 = b

Therefore, our y-intercept is -12.

Now plug everything into the slope intercept form.

y = mx + b

y = 3/4x - 12

~Hope I helped!~
4 0
3 years ago
70 points I need help ASAP on everything but part A (WILL GIVE BRAINLIEST) Roller Coaster Crew Ray and Kelsey have summer intern
Airida [17]
7 is the right answer to the question
6 0
3 years ago
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What fraction is .675
Vitek1552 [10]
675/1000. Simplified it would be 27/40.
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3 years ago
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