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Harman [31]
3 years ago
8

Find the sum of the first 30 terms for the given arithmetic sequence.

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

Find the last term of the sequence.

a1 = 8

d = -7

n = 30

a30 = 8 + (n - 1)*(-7)

a30 = 8 + (30 - 1)*-7

a30 = 8 + 29*-7

a30 = 8 - 203

a30 = -195

Sum = (a + L)*n/2

Sum = (8 + -195) * 30/2

Sum = - 187  * 15

Sum = - 2805

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Hannah does push-ups in sets of three she did 10 sets of push-ups today then her coach asked her to do 15 more push-ups how many
scoray [572]

Answer:

30+ 15 =45

Step-by-step explanation:

(3×10)+15 =45

4 0
3 years ago
Can anyone please work out question 10 in the picture and clearly explain it? Would appreciate it
kotykmax [81]
9945/ 39= 255
If you were to try to divide 99 by thirty five it would not be a whole. You would be able to multiply 39 by 2 to get 78. 99 subtracted by 78 = 21 you would then carry down the 4. to equal 214 you would then figure out 39 multiplied by 5 is the highest number to figure a 195 you would have 19 left over. Carry down your 5 and would have 195. You would have 195 again and then multiply 39 by 5 and it would equal out to 195. Your answer would then be 255.
6 0
3 years ago
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

So,

t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs

t_2 = \dfrac{180}{36}\ hrs = 5\ hrs

So, the answer is:

t_1+t_2 = \bold{8\ hrs}

8 0
3 years ago
Solve equations by using elimination <br> -4+5y= 13<br> X-5y=21<br> ( , )
tigry1 [53]

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

5 0
3 years ago
The perimeter of a rectangular painting is 362 CM if the length of the painting is 97 centimeters what is its width
pochemuha

Answer:

84

Step-by-step explanation:

97+97=194 because a rectangle has 2 long sides.

362-194=168

168/2=84

Width=84 cm

4 0
3 years ago
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