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N76 [4]
2 years ago
6

Simon pays $9 for 6 visits to swim at the community pool. He pays $18 for 12 visits to swim. How much does it cost for each visi

t to the pool?
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
8 0

Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

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How many positive integers can be expressed ad a product of two or more of the prime numbers 5,7,11,and 13 if no one product is
sertanlavr [38]

Answer:

11 positive integers can be expressed.

Step-by-step explanation:

Consider the provided information.

The number of possible prime numbers are 5,7,11,and 13.

There are 4 possible prime numbers.

How many positive integers can be expressed as a product of two or more of the prime numbers, that means there can be product of two numbers, three number or four numbers.

The formula to calculate combinations is: ^nC_r=\frac{n!}{r!(n-r)!}

The number of ways are:

^4C_2+^4C_3+^4C_4=\frac{4!}{2!(4-2)!}+\frac{4!}{3!(4-3)!}+\frac{4!}{4!}

^4C_2+^4C_3+^4C_4=\frac{4!}{2!2!}+\frac{4!}{3!}+1

^4C_2+^4C_3+^4C_4=6+4+1

^4C_2+^4C_3+^4C_4=11

Hence, 11 positive integers can be expressed.

8 0
2 years ago
100 POINTS!!!!
Vladimir [108]

<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>

Answer:

t= 462.82\ days

Step-by-step explanation:

<u>Exponential Growth </u>

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

\displaystyle f(x) = f_o(1 + r)^t

Where f_o is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

\displaystyle f(x) = 100(1.01)^t

We need to know when the number of followers will reach 1,000,000. Setting up the equation

\displaystyle 100(1.01)^t=1,000,000

Simplifying by 100

\displaystyle (1.01)^t=10,000

Taking logarithms

\displaystyle t\ log(1.01)=log\ 10,000

\displaystyle t\ log(1.01)=4

Solving for t

\displaystyle t=\frac{4}{log(1.01)}=925.63 periods of 12 hrs

t= 462.82\ days

7 0
3 years ago
Complete the factorization.
lyudmila [28]
If you would like to complete the factorization, you can do this using the following steps:

<span>4p^2 + 36p + 81 = (2p + 9) * (2p + 9) = (2p + 9)^2
</span>
The correct result would be 9.
6 0
3 years ago
Expand the following 5(2x-4)
Yuliya22 [10]

Answer:

x= 2

Step-by-step explanation:

5*2= 10 then add the x at the end

5*4=20

then you divide both sides by 10

(10x/10)- (20/10)

x= 2

or if your rewriting it then:

(5*2x)- (5*4)=?

Hope this helped :D

8 0
3 years ago
Janae found PointA located at ,(-2,5) and c is located at (6,1) . What would be the x coordinate of point b that bisects A and C
Alexxandr [17]

A point that bisects a segment would be its midpoint. This is a case where the vocabulary  (bisect as opposed to midpoint) makes it harder.

To find the midpoint, we use the midpoint formula. The midpoint formula is:

midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.

x: (-2 + 6)/2 = 4/2 = 2

y: (5 +1)/2 = 6/2 = 3


Thus the point B bisecting AC is at (2, 3).

8 0
2 years ago
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