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True [87]
3 years ago
10

Find 601st term of the arithmetic sequence whose first term is -85 and the common difference is 1/6.

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

Step-by-step explanation:

Arithmetic sequence

Tn = a+(n-1)d

= -85 +(601-1) 1/6

= -85 + 600/6

= -85 + 100

= 15

601th term is 15

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Muhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29
Vsevolod [243]

Answer:

 Twine needed to wrap 29 cartons = 51.55 yards

Explanation:

 1 feet = 0.3333 yard

 1 inch = 0.0277778 yard

Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches

                                                           = 1 + 2 x 0.3333 + 4 x 0.027778

                                                           = 1.777712 yards.

 Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.

 Twine needed to wrap 29 cartons = 51.55 yards

4 0
2 years ago
Amuseumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65.
leonid [27]

Answer:

The price of the admission is 15.

Step-by-step explanation:

From the information given, you can write the following equations:

a+3e=45 (1)

a+5e=65 (2), where:

a is the admission cost

e is the exhibition cost

First, you can solve for a in (1):

a=45-3e (3)

Second, you can replace (3) in (2):

45-3e+5e=65

45+2e=65

2e=65-45

2e=20

e=20/2

e=10

Finally, you can replace the value of e in (3):

a=45-3e

a=45-3(10)

a=45-30

a=15

According to this, the price of the admission is 15.

3 0
3 years ago
PLEASE HELP a basketball player shoots a basketball with an initial velocity of 15 ft/sec. The ball is released from an initial
elena-s [515]

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7 0
3 years ago
Can someone help me round these two numbers? I completely forgot how ‍
tigry1 [53]

Answer:

Step-by-step explanation:

If you are rounding to nearest tenth

2.6  1.9

Nearest hundredth

2.6   1.87

If the number to the right of the one you want to round is 5 or above, you go up a number. If it's below, you go down 1.

Hope this helps.

5 0
2 years ago
Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.
stich3 [128]

Mario says that the expression 4+3n^2 has four terms: 4, 3, n, and 2. Mario is incorrect

<em><u>Solution:</u></em>

Given that the expression is:

4+3n^2

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

3n^2 is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by n^2

So, 3n^2 is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

8 0
2 years ago
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