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Vikki [24]
3 years ago
10

Which of the following represents the sum of 3+10+......+87+94 if the arithmetic series has 14 terms

Mathematics
2 answers:
AleksandrR [38]3 years ago
7 0

Answer:

679

Step-by-step explanation:

The formula for calculating the sum of an arithmetic progression which contains the first and the last term is expressed as;

Sn = n/2(a+l) where:

n is the number of terms in the series

a is the first term of the series

l is the last term of the series.

Given the series 3+10+......+87+94 which has 14terms,

a = 3

n = 14

l = 94

S3 = 14/2(3+94)

S3 = 7(97)

S3 = 679

nirvana33 [79]3 years ago
5 0
Here is a trick that not a lot of people know

(# of terms)*(first+last)/2
(in case you don't know, * means multiply and / means divide)


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dimaraw [331]
Hello,

The two lights flash at the same time every 18 min
at 8:00 h=480 min =480+0*36
at 8:36 h=516 min =480+1*36
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54 is not divisible by 36
60+12=72 = 2*36 yes
60+24=84 not
120+24=4*36 yes
180+18=198 not

So 2 times are correct 9:12 and 10:24
Answer G


 

5 0
3 years ago
A line passes through point (-2, 5) and has a slope of 5/2.
Klio2033 [76]

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

y-5=5/2(x-(-2))

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

4 0
3 years ago
The following circle graph represents first-quarter absences of Washington Middle School students. If 96 students had two or mor
UkoKoshka [18]
How many students had 3 or more absences?  Add together {45%, 21%, 23%} and subtract that sum from 100%:  11%.

How many students had two or more absences?  Add together this 11% and 21%:  32% had two or more absences.  Let the total number of students be n.  Then 32% of these n students add up to 96 students.  Thus, 0.32n = 96, and n= 300.

How many students had one absence?  The chart shows that that is 45%, and we know that there are 300 students total.  

Thus, the number of students who had one absence was 0.45(300) = 135.
4 0
4 years ago
Read 2 more answers
How do you use math in real life outside of school
VikaD [51]

In the kitchen. Baking and cooking requires some mathematical

Texting on the cellphone.

Gardening.

Arts.

Keeping a diary.

Planning an outing.

Planning dinner parties.

6 0
3 years ago
Read 2 more answers
The function models the number of accidents per 50 million miles driven as a function
sesenic [268]

Answer:

x=39, y=180

Step-by-step explanation:

f(x)=0.4x²-31.2x+788.4

For x=39 the graph reaches its lowest point.

The minimum value of y is:

x=39→y=f(39)=0.4(39)²-31.2(39)+788.4

y=f(39)=0.4(1,521)-1,216.8+788.4

y=f(39)=608.4-1,216.8+788.4

y=f(39)=180

5 0
3 years ago
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