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pogonyaev
3 years ago
6

Please help ASAP!!

Mathematics
2 answers:
frutty [35]3 years ago
6 0
The answer is D, 
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
balandron [24]3 years ago
5 0

We have been given the arithmetic sequence 4/5 , 29/30,  17/15 , 13/10

Let a be the first term and d be the common difference of the arithmetic sequence.

So let us first find the a and d

a=\frac{4}{5} \\\\d=\frac{29}{30} -\frac{4}{5} = \frac{1}{6}

We know the nth term of an arithmetic sequence is given by

a_n=a+(n-1)d

On substituting the known values, we get

a_n=\frac{4}{5} +(n-1) \frac{1}{6}

On distributing 1/6 over the parenthesis, we get

\frac{n}{6}-\frac{1}{6}+\frac{4}{5}

a_n=\frac{n}{6} +\frac{19}{30}

a_n=\frac{5n+19}{30}

Therefore, the explicit formula is given by

a_n=f(n)=\frac{5n+19}{30}

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Show work on how you converted them. (also marking brainliest) <3
Dmitry_Shevchenko [17]

Answer:

1. 5700mg

2. 1000cm

3. 0.0453m

4. 37.5 kg/L

Step-by-step explanation:

1. 1gram (g) =1000milligrams(mg)

5.70×1000=5700mg

2. 1 m= 100cm

10×100=1000cm

3. 1000mm=1m

45.3/1000=0.0453m

4. 1000g=1kg

37.5/1000=0.0375

1000ml=1L

1ml= 1/1000= 0.001L

0.0375/0.001= 37.5 kg/L

8 0
3 years ago
Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.
Natali5045456 [20]
First of all, you can move the +2x to the other side:
-11 = -26 - 2x

Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
 15 = -2x

Then you can divide both sides by 2:
7.5 = -x

Then you can flip the sides and the signs around:
x = -7.5

No, The answer is not -7, it is -7.5
Hope this helps! :)
4 0
3 years ago
22 less than 6 times a number is 92. What is the number?
Romashka [77]

Answer:

n=19

Step-by-step explanation:

6n - 22 = 92

    + 22 +22

----------------------

<u>6n</u> = <u>114</u>

6      6

n = 19

4 0
3 years ago
What is 28÷6844 rounded to the nearest hundredth?
bazaltina [42]
    28 * 6844 = 191632.00
6 0
3 years ago
Solve this equation for x in terms of y and z: 6x+10y+8z=60. What is the value of x when y=2 and z=-3? Round your answer to the
ioda

Answer:

x=2.66

Step-by-step explanation:

6x=60-10y-8z

x=(60-10*2-8*3)÷6

x=(60-20-24)/6=16/6=2.66

5 0
3 years ago
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