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Rudik [331]
3 years ago
12

Find S10 for -1 + -7 + -13 + -19

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6

now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54 
a10 = - 55

now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum 
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280

so the sum of the first 10 numbers is -280

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Solve -2(x - 4) - 7 &gt; - 6
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4 0
4 years ago
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
faust18 [17]

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

6 0
3 years ago
plz help me out it would be a prouder I don't know these tuitions pls help me I will give u 100 points and mark u brainliest 1,2
Fudgin [204]

Answer:

1)  =  H

2)  =  0,4

4)  =  S

Step-by-step explanation:

1)  H is found by counting across the horizontal (axis) as x and then downwards the vertical axis for y  as y is a negative we find H for y at ( y = -5 )

But when we always read left to right we start with x first at 3 across. (x= 3) as this is the same as (3,-5)

2)  We find x, y at  (0,4) as 0 is middle of the two axis as they cross each other and 4 goes upwards. x= 0 y =4 = (0,4)

4) S is found as it is a refection of (8,-4) across the y axis.

(x = -8) is still x but it is valued as negative in y  as (x = -8)

Then (y = -4) so it stays the same height as y and represents vertical axis line which is called y axis.

And so y reflects the same height.

But in all the others y represents vertical measure generally.

Whilst x represents horizontal measure generally. they both meet at a point which represents two values generally, like cost and time, network output and population, or cupcakes sales and duration/time.

7 0
4 years ago
Read 2 more answers
A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. She current
WINSTONCH [101]

Answer:

a.) w = 103 * 1.08^t

b.) 3.5weeks

Step-by-step explanation:

If Her current weight is 103 pounds and she hopes to multiply her her weight each week by 1.08, then

her weight after 1 week = 103 * 1.08 = 103 * 1.08¹

Her weight after 2 weeks = [weight of week 1] * 1.08 = [103* 1.08] * 1.08 = 103 * 1.08²

Weight after 3 weeks= [weight of week 2] * 1.08 = [103 * 1.08 * 1.08] * 1.08 = 103 * 1.08³

Hence weight (W) after t weeks = 103 * 1.08^t

b.) If W = 135, Then

103 * 1.08^t = 135

1.08^t = 135/103

1.08^t = 1.31

Taking log of both sides,

log 1.08^t = log 1.31

t log 1.08 = log 1.32

t = log 1.32/log 1.08

t = 3.5 weeks.

Hence, it will take her 3½ weeks to get to 135pounds weight.

7 0
3 years ago
Solve addition and subtraction word problems using the ruler as a number line
Trava [24]
Its just like using your hand only difference is a ruler unless its a point in it it goes into segments like quarters etc.
5 0
4 years ago
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