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Nookie1986 [14]
3 years ago
9

A regulation baseball field measures 90 feet between each base.What is the distance around the bases in meters?

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

360 ft

Step-by-step explanation:

to find the total distance between the bases, you would multiply 90 by 4!

if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!

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Erica sells bracelets for $2 each. The supplies to make each bracelet costs her $0.75. Let “n” represent the number of bracelet
AysviL [449]

Answer:  1.25n

=======================================================

Explanation:

Erica sells bracelets for $2 each. If she makes and sells n of them, then she gets 2n dollars of revenue.

Making n bracelets cost her a total of 0.75n dollars because each bracelet costs 0.75 dollars, or 75 cents.

Subtract the revenue and cost to get the profit

profit = revenue - cost

profit = 2n - 0.75n

profit = (2-0.75)n

profit = 1.25n

The expression 1.25n means that she earns $1.25 in profit per bracelet sold.

3 0
3 years ago
What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
3 years ago
Read 2 more answers
An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inc
kodGreya [7K]

The formula of a volume of a rectangle prism:

V=lwh

l - length

w - width

h - height

We have

l=n^2+2;\ w = 10,\ h=n+5

Substitute:

V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100

<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
5 0
3 years ago
A line segment has endpoints Q(-16, -12) and R(21, -8).
gulaghasi [49]

Answer:

(2.5, - 10 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} )

here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then

midpoint = ( \frac{-16+21}{2} , \frac{-12-8}{2} ) = ( \frac{5}{2}, \frac{-20}{2} ) = (2.5, - 10 )

4 0
2 years ago
PLS HELP<br>Worth 20 Points<br>Easy <br>I will give brainilest​
erma4kov [3.2K]

Answer:

x-axis

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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