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mojhsa [17]
3 years ago
6

How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.

Mathematics
1 answer:
labwork [276]3 years ago
5 0
3/4 and then you have 1/8 left
Plz mark brainliest
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Find an equation for the nth term of the arithmetic sequence.
Irina18 [472]

Answer:

The equation of the nth term is an = -621 + 42n

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

  between each two consecutive terms

, n is the position of the term

* Lets solve the problem

∵ an = a + (n - 1)d

∴ a14 = a + (14 - 1)d

∴ a14 = a + 13d

∵ a14 = -33

∴ a + 13d = -33 ⇒ (1)

- Similar we can find another equation from a15

∵ a15 = a + (15 - 1)d

∴ a15 = a + 14d

∵ a15 = 9

∴ a + 14d = 9 ⇒ (2)

- We will solve equations (1) and (2) to find a and d

* Lets subtract equation (2) from equation (1)

∴ (a - a) + (13 - 14)d = (-33 - 9)

∴ -d = -42 ⇒ × both sides by -1

∴ d = 42

- Substitute this value of d in equation (1) or (2)

∵ a + 13d = -33

∵ d = 42

∴ a + 13(42) = -33

∴ a + 546 = -33 ⇒ subtract 546 from both sides

∴ a = -579

* Now lets write the equation of the nth term

∵ an = a + (n - 1)d

∵ a = -579 and d = 42

∴ an = -579 + (n - 1) 42 ⇒ open the bracket

∴ an = -579 + 42n - 42

∴ an = -621 + 42n

* The equation of the nth term is an = -621 + 42n

6 0
3 years ago
Is f(x)=40-1.25x a function
poizon [28]
F(x) = 40 - 1.25x is a function.
7 0
3 years ago
Solve : 11 (9-v)=0 a) -9 b) 9 c) 99 d)-99
garri49 [273]
B. V=9 Multiply it out, then subtract 99 from both sides, then divide by 11
7 0
3 years ago
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Simplify −√81 3 −2√48 3 +2√24 Work Needed
MissTica

Answer:

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can someone please help
Alik [6]

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

82 = w + 1

Then we would subtract 1 from both sides, then we are left with <em>w:</em>

<em />w = 81<em />

<em />

<em>Hope this helps!</em>

8 0
3 years ago
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