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DiKsa [7]
3 years ago
10

Please help!! 1/6+1/3+1/6

Mathematics
2 answers:
miv72 [106K]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

1/6+1/6= 2/6, both divided by 2 gives you 1/3

1/3+1/3= 2/3

Good luck luv

Hope this helps

lbvjy [14]3 years ago
5 0

Answer:

2/3

Step-by-step explanation:

To add fractions with different denominators, change the denominator to the least common multiple of the denominators.

The denominators here are 6, 3, and 6. The least common multiple of these three numbers is 6. Now, convert each of the fractions into fractions with a denominator of 6, specifically only 1/3.

1/6+2/6+1/6

Now add up the numerators,

1/6+2/6+1/6 = 4/6

Simplify.

4/6 = 2/3

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1. Consider an athlete running a 40-m dash. The position of the athlete is given by , where d is the position in meters and t is
sasho [114]

There is some information missing in the question, since we need to know what the position function is. The whole problem should look like this:

Consider an athlete running a 40-m dash. The position of the athlete is given by d(t)=\frac{t^{2}}{6}+4t where d is the position in meters and t is the time elapsed, measured in seconds.

Compute the average velocity of the runner over the intervals:

(a) [1.95, 2.05]

(b) [1.995, 2.005]

(c) [1.9995, 2.0005]

(d) [2, 2.00001]

Answer

(a) 6.00041667m/s

(b) 6.00000417 m/s

(c) 6.00000004 m/s

(d) 6.00001 m/s

The instantaneous velocity of the athlete at t=2s is 6m/s

Step by step Explanation:

In order to find the average velocity on the given intervals, we will need to use the averate velocity formula:

V_{average}=\frac{d(t_{2})-d(t_{1})}{t_{2}-t_{1}}

so let's take the first interval:

(a) [1.95, 2.05]

V_{average}=\frac{d(2.05)-d(1.95)}{2.05-1.95}

we get that:

d(1.95)=\frac{(1.95)^{3}}{6}+4(1.95)=9.0358125

d(2.05)=\frac{(2.05)^{3}}{6}+4(2.05)=9.635854167

so:

V_{average}=\frac{9.6358854167-9.0358125}{2.05-1.95}=6.00041667m/s

(b) [1.995, 2.005]

V_{average}=\frac{d(2.005)-d(1.995)}{2.005-1.995}

we get that:

d(1.995)=\frac{(1.995)^{3}}{6}+4(1.995)=9.30335831

d(2.005)=\frac{(2.005)^{3}}{6}+4(2.005)=9.363335835

so:

V_{average}=\frac{9.363335835-9.30335831}{2.005-1.995}=6.00000417m/s

(c) [1.9995, 2.0005]

V_{average}=\frac{d(2.0005)-d(1.9995)}{2.0005-1.9995}

we get that:

d(1.9995)=\frac{(1.9995)^{3}}{6}+4(1.9995)=9.33033358

d(2.0005)=\frac{(2.0005)^{3}}{6}+4(2.0005)=9.33633358

so:

V_{average}=\frac{9.33633358-9.33033358}{2.0005-1.9995}=6.00000004m/s

(d) [2, 2.00001]

V_{average}=\frac{d(2.00001)-d(2)}{2.00001-2}

we get that:

d(2)=\frac{(2)^{3}}{6}+4(2)=9.33333333

d(2.00001)=\frac{(2.00001)^{3}}{6}+4(2.00001)=9.33339333

so:

V_{average}=\frac{9.33339333-9.33333333}{2.00001-2}=6.00001m/s

Since the closer the interval is to 2 the more it approaches to 6m/s, then the instantaneous velocity of the athlete at t=2s is 6m/s

8 0
3 years ago
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explai
netineya [11]

Step-by-step explanation:

c = cost per person

p = number of people

The cost per person is 1500/p, where 

is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.

I believe the inverse variation function is

c = 1500 × 1/p

make sure to ask if you need anything else. :)

4 0
2 years ago
Noah pagó $28 por los jeans después de usar el cupón. Cuál es el precio regular de el par de jeans?
eduard
It would do 40 percent or do 70
6 0
3 years ago
Find 5 Rational Numbers Between 1 and 2 using (a+b/2) where a=1 and b=2.
mojhsa [17]

Answer:

There are two ways to find the rational number between any two numbers. I will tell you an easy method to find it.

As we have to find 5 rational numbers between 1 & 2

Take 5 and add 1 to it i.e. 5+1= 6

Now take the first number and multiply and divide it by 6 i.e.

1x6/6 = 6/6

Also take the second number and multiply and divide it by 6 i.e.

2x6/6= 12/6

This is done to convert 1 & 2 into rational number i.e. in form of p/q

Now we have two numbers 6/6 and 12/6 so five rational numbers between them are

7/6, 8/6, 9/6, 10/6, 11/6

The values of these number you can check will be between 1 & 2. Actually between any two number there are infinite number of rational numbers.

4 0
3 years ago
there were 7 little cherries for every 2 big cherries. if there were 630 cherries in the box, how many little cherries were ther
Ugo [173]

Answer:

1)2205little cherries

2)0.5.

Step-by-step explanation:

1)7little=2big

?=630big

<u>7</u><u>×</u><u>6</u><u>3</u><u>0</u>=2205little cherries

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>2

2)²/5x=¹/10what is the value of 10x-2

first find the value of x that is ¹/10÷²/5=¼

so x is ¼

insert the value ie 10×¼-2

=2.5-2

=0.5

7 0
4 years ago
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