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aev [14]
2 years ago
7

Find the sum of the geometric sequence. (1, 1/1, 1/4, 1/8, 1/16)

Mathematics
1 answer:
arlik [135]2 years ago
3 0
Hello : 
<span>the sum of the geometric sequence. (1, 1/2, 1/4, 1/8, 1/16) is :
s = 1× (1-(1/2)^5)/(1-(1/2))=(1-(1/32)/(1/2) =(31/32)/(1/2) =31/16</span>
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For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\&#10;6.8x=3.5y \\&#10;x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\&#10;x=y-115.5 \\ \\&#10;x=x \\&#10;\frac{35}{68}y=y-115.5 \\&#10;\frac{35}{68}y-y=-115.5 \\&#10;\frac{35}{68}y-\frac{68}{68}y=-115.5 \\&#10;-\frac{33}{68}y=-115.5 \\&#10;y=-115.5 \times (-\frac{68}{33}) \\&#10;y=238 \\ \\&#10;x=y-115.5=238-115.5=122.5 \\ \\&#10;x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
6 0
3 years ago
Emma uses a 250 meter roll of creep paper to make streamers how many decameters of Crete paper does Emma have
8090 [49]
Well a decameter is 10 meters so if she has 250 meters then she has 25 decameters     Hope this helps!
8 0
3 years ago
In the diagram, angle 1 = 4x + 30, and angle 3 = 2x +48.
iragen [17]

Answer:

Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.

Angle 1=Angle 3

4x+30=2x+48

2x+30=48

2x=18

x=9

Angle 1=4(9)+30

Angle 1=36+30

Angle 1=66

Angle 1=Angle 3

Angle 1+ Angle 3=132

360-132=228

228/2=114

Angle 2= 114

6 0
2 years ago
A washer and a dryer cost $799 combined. The washer costs $49 more than the dryer. What is the cost of the dryer?
rusak2 [61]
A) w + d = 799
B) w = d + 49
B) w -d = 49

Adding A & B
2w = 848

washer = 424

w -49 = d
dryer = 424 -49
dryer = 375


4 0
3 years ago
For the function F defined by F(x)=x2−2x+4, find F(−2).
Kruka [31]

Answer:

12

Step-by-step explanation:

x^2-2x+4  replace -2 for x

-2^2-2(-2)+4

4+4+4

12

4 0
3 years ago
Read 2 more answers
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