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anyanavicka [17]
3 years ago
5

A(n)=-6+3(n-1). Find the 16th term in the sequence

Mathematics
2 answers:
marshall27 [118]3 years ago
6 0

Answer:

16th term = 39.

Step-by-step explanation:

Plug 16 into the formula -6 + 3(n - 1):

A(16) = -6 + 3(16-1)

= - 6 + 3*15

= -6 + 45

= 39.

castortr0y [4]3 years ago
3 0

Answer:

Step-by-step explanation:

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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
3 years ago
A shop owner bought 30 files and some diaries .he paid $82.50 for the files.each diary cost 10 times as much as a file.what was
Novay_Z [31]
<h3>✽ - - - - - - - - - - - - - - -  ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Divide total cost by the number of files:

82.50/30 = 2.75

Multiply by 10:

2.75 x 10 = 25.5

The cost was $27.50

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
3 years ago
Write down in terms of n, an expression for the nth term of the following sequences 2,8,18,32,50,
Art [367]

Answer:

198

Step-by-step explanation:

2+6=8+10=18+14=32+18=50+22=72+26=96+30=126+34=160+38=198

4 0
3 years ago
How to make this y=21x-7 into standard form
Galina-37 [17]
The standard form is 21x-y-7=0
6 0
3 years ago
A microwave is placed on top of two boxes. One box is 4 feet 7 inches tall the other box is 4 feet 9 inches tall and the microwa
Vikentia [17]
The answer is 12 feet 3 inches
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3 years ago
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