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2 years ago

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

more cans than Shane.
write an inequality to determine the number of cans that Shane could have collected

1 answer:

Bumek [7]2 years ago

3 0

Answer:

x+178x=2000 cans

Step-by-step explanation:

Hope this Helped

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Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probab

Komok [63]

Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? Assume that no players over 6 feet tall have good aim. A. 7/15 B. 6/15 C. 7/9 D. 5/9

The Answer Is

--------5/9--------

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2 years ago

Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?

777dan777 [17]

Let us say weight of Javier is x pounds.

Weight of his bother = 80 pounds

Javier is 175 % or 1.75 times heavier than his brother.

So Javier's weight = x pounds= 1.75 *80 = 140 pounds.

Answer: Javier's weight is 140 pounds.

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2 years ago

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G identify the solution of the recurrence relation an = 6an − 1 – 8an − 2 for n ≥ 2 together with the initial conditions a0 = 4,

maksim [4K]

Via the generating function method, let

$G(x)=\displaystyle\sum_{n\ge0}a_nx^n$

Then take the recurrence,

$a_n=6a_{n-1}-8a_{n-2}$

multiply everything by $x^n$ and sum over all $n\ge2$ :

$\displaystyle\sum_{n\ge2}a_nx^n=6\sum_{n\ge2}a_{n-1}x^n-8\sum_{n\ge2}a_{n-2}x^n$

Re-index the sums or add/remove terms as needed in order to be able to express them in terms of $G(x)$ :

$\displaystyle\sum_{n\ge2}a_nx^n=\sum_{n\ge0}a_nx^n-(a_0-a_1x)=G(x)-4-10x$

$\displaystyle\sum_{n\ge2}a_{n-1}x^n=\sum_{n\ge1}a_nx^{n+1}=x\sum_{n\ge1}a_nx^n=x\left(G(x)-a_0\right)=x(G(x)-4)$

$\displaystyle\sum_{n\ge2}a_{n-2}x^n=\sum_{n\ge0}a_nx^{n+2}=x^2\sum_{n\ge0}a_nx^n=x^2G(x)$

So the recurrence relation is transformed to

$G(x)-4-10x=6x(G(x)-4)-8x^2G(x)$
$(1-6x+8x^2)G(x)=4-14x$
$G(x)=\dfrac{4-14x}{1-6x+8x^2}=\dfrac{4-14x}{(1-4x)(1-2x)}=\dfrac1{1-4x}+\dfrac3{1-2x}$

For appropriate values of $x$ , we can express the RHS in terms of geometric power series:

$G(x)=\displaystyle\sum_{n\ge0}(4x)^n+3\sum_{n\ge0}(2x)^n=\sum_{n\ge0}\bigg(4^n+3\cdot2^n\bigg)x^n$

which tells us that

$a_n=4^n+3\cdot2^n$

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2 years ago

A soccer coach is marking the lines for soccer field on a large recreation field. The dimensions of the field are to be 90 yards

mina [271]

Hello,

Diagonals of a rectangle must have the same measure.
You don't need to know the dimension of the diagonal but only if they are equals.

(√(90²+48²)=102 (yd))

5 0

2 years ago

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Select the correct answer.

igor_vitrenko [27]

Answer:

<h3>B. $\$10.45$ </h3>

Step-by-step explanation:

CPI stands for Consumer Price Index, which is the measure of average prices to goods and services.

So, in this case, we have to find the average price for the given basket in year 2.

We know that in year 2, a toothbrush tube costs $1.25 and a tube of toothpaste costs $2.10. If we have 5 toothbrushes and 2 tubes of toothpaste, the total cost would be

$5 \ toothbrushes=5(\$1.25)=\$6.25\\2 \ toothpaste \ tubes=2(\$2.10)=\$4.20$

Now, the CPI would be the sum of these costs

$CPI = \$6.25 + \$4.20=\$10.45$

Therefore, the Consume Price Index for this basket of goods is

B. $\$10.45$

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2 years ago

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