How much larger then 1/4 mile is 9/10 mile please show work
1 answer:
Answer:
13/20 = 0.65 mile
Step-by-step explanation:
Finding the difference of two fractions is usually done by first expressing each of them using a common denominator. Here, both 4 and 10 are factors of 20, so 20 is a suitable common denominator.
9/10 - 1/4 = 18/20 - 5/20 = (18 -5)/20 = 13/20
This can be expressed as a decimal:
13/20 = (13·5)/(20·5) = 65/100 = 0.65
9/10 of a mile is 13/20 of a mile larger than 1/4 of a mile. In decimal, that is 0.65 miles larger.
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25 persons will get both bottle and t – shirt.
<u>Solution:</u>
Given, every 8th person that goes into a store gets a free bottle.
And every 10th person that goes into a store gets a t-shirt.
There are 100 bottles and 100 t shirts to give out.
We have to find how many people get a t shirt and a bottle
Now, as there are 100 t- shirts, last person to get t – shirt is:
10 x 100 = 1000th person will get last t – shirt
We have to find lcm of 8 and 10, to know who gets both bottle and t – shirt.
So, L.C.M of 8 and 10 = lcm(8, 10)
= 2 x lcm(4, 5)
= 2 x 4 x 5 [ as no common factors available for 4 and 5 ]
= 40
So, every 40th person will get both bottle and t – shirt.
Then, out of 1000 people, number of people who get both bottle and t – shirt =
Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
=
= =
⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle