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Vilka [71]
4 years ago
9

A person wearing contact lenses is told to wear them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day.

For how many hours will the person wear the contact lenses on the 10th day?
Mathematics
2 answers:
levacccp [35]4 years ago
6 0

Answer: the person will wear it for 7.5 hours on the 10th day.

Step-by-step explanation:

The person wears them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day. This means that the number of hours is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 3 hours

d = 0.5 hour

n = 10

We want to determine the value of the 10th term, T10. Therefore,

T10 = 3 + 0.5(10 - 1)

T10 = 3 + (0.5 × 9)

T10 = 7.5 hours

olya-2409 [2.1K]4 years ago
5 0

Answer:

A person is going to wear contact lenses for <em><u>7 and a half hour</u></em> on the tenth day

Step-by-step explanation:

3 + 3.5 + 4 + 4.5 + 5 + 5.5 + 6 + 6.5 + 7 + 7.5

1      2      3     4      5     6      7      8     9     10

7.5 because it is the tenth day

Answer:  A person is going to wear contact lenses for 7 and a half hour on the tenth day

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belka [17]

Answer:

1436.755 cm³

Step-by-step explanation:

Input Data :  

Length = 7 cm

Objective :  

Find what is volume of the sphere for given input data?

Formula :

Volume =

4πr3

3

Solution :

Volume =

4 x 3.1416 x 73

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=

4 x 3.1416 x 343

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=

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Volume = 1436.755 cm³

8 0
4 years ago
How do I simplify these expressions?<br> 5(x+8)+3<br> 3.6x-7-5.1x<br> 4+8x+2.2-10x
Aleks04 [339]

Answer:

1. 5x +43

2. -1.5x - 7

3. 6.2 - 2x

Step-by-step explanation:

<u />

<u>Equation 1:</u>

5 (x+8) +3

First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign

Now we have: 5x + 40 + 3

Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.

Our finished equation is: 5x + 43

<u />

<u>Equation 2:</u>

3.6x - 7 - 5.1x

First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.

We can add 3.6x and -5.1x and get -1.5x

Now we have: -1.5x - 7

<u />

<u>Equation 3:</u>

4 + 8x + 2.2 - 10x

We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.

Next, we can combine 4 and 2.2 and get 6.2.

Now, putting these back into our equation would look like this:

6.2 - 2x

I'm not sure how much my explanations helped, but I hope you understand!!

8 0
3 years ago
HELP ILL GIVE 10 PTS quick pleaseee
Sladkaya [172]

Answer: I’m pretty sure it’s the 4th one.

Step-by-step explanation: because 1 and 2 have infinity solutions but 3 has no solution 4 comes up with x=-11

Can you give brainiest? :)

6 0
3 years ago
A picture frame is 18 inches long and 8 inches tall. It is 2 inches wide on all 4 sides. What is the area of the picture frame?
8_murik_8 [283]
48 in2 should be the answer
4 0
3 years ago
"If a Japanese toy costs 20 yen and the yen per dollar exchange rate is​ 5, what is the dollar price of the Japanese​ toy?"
lapo4ka [179]
<h2>Answer:</h2>

The dollar price of the Japanese​ toy is: $ 4.

<h2>Step-by-step explanation:</h2>

Exchange rate--

It the value of currency of one country in term's of the currency of the other country.

Here it is given that:

The yen per dollar exchange rate is​ 5.

This means that:

 5 yen= $ 1

This means that:

(5×4) yen=$ (1×4)

i.e.

20 yen=$ 4

Now the cost of Japanese toy is: 20 yen

<em>Hence, the cost of the Japanese toy in dollars is: $ 4.</em>

4 0
3 years ago
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