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qwelly [4]
3 years ago
5

Mai made $65 for 5 hours of work.

Mathematics
2 answers:
kolezko [41]3 years ago
6 0

Answer:

$156

Step-by-step explanation:

Mai made $65 for 5hrs work .

That’s

$65 = 5hrs

Amount made in 12hrs of work at same rate

$x = 12

Therefore

$65 = 5hrs

$x = 12hrs

Cross multiply

x x 5 = 65 x 12

5x = 780

Divide both sides by 5

5x/5 = 780/5

x = $156

Mia will make $156 in 12hrs working at the same rate

docker41 [41]3 years ago
4 0

Answer:

£156

Step-by-step explanation:

65 divided by 5 = 13

13 x 12 = £156

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Consider the following geometric series.
podryga [215]

Answer:

a) -8/9

b) The series is a convergent series

c) 1/17

Step-by-step explanation:

The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.

If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r

a is the first tern of the series.

a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;

∑(-8)^(n−1)/9^n

= ∑(-8)^(n−1)/9•(9)^n-1

= ∑1/9 • (-8/9)^(n−1)

From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9

The common ratio r = -8/9

b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.

c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.

S∞ = a/1-r

Given a = 1/9 and r = -8/9

S∞ = (1/9)/1-(-8/9)

S∞ = (1/9)/1+8/9

S∞ = (1/9)/17/9

S∞ = 1/9×9/17

S∞ = 1/17

The sum of the geometric series is 1/17

8 0
3 years ago
The sum of A and B is 171 and their difference is 35. What are the numbers?
antoniya [11.8K]

Answer:

103 and 68

Step-by-step explanation:

since the difference has to be 35 subtract 35 from 171 (equals 136) then divide it by 2, you get 68 which is your first number, then add 35 back and get 103 for the second number, I hope this helped

3 0
4 years ago
Read 2 more answers
Please help me out with this i only have a couple more hours to turn this in please
Alborosie

Answer:

H = (1,4)

I = (-4,2)

J = (2,-3)

8 0
4 years ago
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What is the surface area?<br>What is the surface area of G​
myrzilka [38]

Answer:

226 cm^2

Step-by-step explanation:

It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.  

3 0
3 years ago
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Can someone help me find out how to solve this problem I just need to find what function to use
Nataly_w [17]

Answer: tangent

Step-by-step explanation: from the diagram the adjacent and the opposite are given. From SOHCAHTOA , tan is the only trig ratio with opposite and adjacent.

Thus tan teta= opposite÷adjacent

tan teta= 3÷6= 0.5

teta=tan invers of 0.5

=26.6°

7 0
3 years ago
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