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ASHA 777 [7]
3 years ago
9

The distance between the school and the park is 6 km. There are 1.6 km in 1 mile.How many miles apart are the school and the par

k
Mathematics
1 answer:
insens350 [35]3 years ago
7 0
As stated 1 mile equals to 1.6 km,
so do calculation to get the 6 km

1 mile = 1.6 km

Then try to divide the 6 km with 1 mile value in km which is 1.6 km so that we know exactly how many miles required to get 6 km

6 \:  \div  \: 1.6 \:  =  \: 3.75
So the answer is 3.75 miles

To prove this

If 1 mile = 1.6,
Then,
3 miles = (1.6 x 3 ) which produce 4.8 km
0.75 mile = ( 0.75 x 1.6 ) equals to 1.2 km

4.8km + 1.2km = 6km , which proves that
3 miles + 0.75 mile = 6km
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Licemer1 [7]

Answer:

-0.333333333

Step-by-step explanation:

7 0
2 years ago
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
Stans steak house has a server to cook ratio of 5 to 2.The total number of servers and cooks is 42. How many servers does Stans
aivan3 [116]

Answer: 30 servers

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Step-by-step explanation:

5+2 = 7

42/7 = 6 sets of employees

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3 0
3 years ago
The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was ​$
SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60

the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60

divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80

hope this helps :)

4 0
2 years ago
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Alona [7]

Answer:

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Step-by-step explanation:

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7 0
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