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4 years ago

13

Let d(t) be the total number of .

1 answer:

Andru [333]4 years ago

3 0

What is the question?

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The first five terms of a pattern are shown.

Andrej [43]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

$\frac{3}{10}$ ÷ $\frac{3}{100}$ = 3 ÷ $\frac{3}{10}$ = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = $\frac{3}{100}$ and r = 10 , thus

$a_{n}$ = $\frac{3}{100}$ $(10)^{n-1}$

= $\frac{3}{10^{2} }$ × $10^{n-1}$

= 3 × $10^{-2}$ × $10^{n-1}$

= 3 × $10^{n-3}$

Thus

$a_{n}$ = 3 $(10)^{n-3}$ → C

6 0

4 years ago

(7 + X) x 8 - 4 x X = 56

devlian [24]

Answer:

12 1/4

Step-by-step explanation:

(7 + X) × 8 - 4 × X = 56

7 + X × 8 - 4 × X = 56

7 + 8X - 4 × X = 56

7 + 8X - 4X = 56

7 + 4X = 56

4X = 56 - 7

X = 49/4

X = 12 1/4

7 0

3 years ago

HELP I NEED HELP ASAP

eimsori [14]

Answer:

I think its D

Step-by-step explanation:

You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D

3 0

3 years ago

Before conducting some experiments, a scientist mixes 1/2 gram of Substance A with 3/4 grams of Substance B. If the scientist us

Tju [1.3M]

Answer: 10

<u>Step-by-step explanation:</u>

$(\frac{1}{2}+\frac{3}{4})$ ÷ $\frac{1}{8}$

= $(\frac{1}{2}(\frac{2}{2})+\frac{3}{4})$ ÷ $\frac{1}{8}$

= $(\frac{2}{4}+\frac{3}{4})$ ÷ $\frac{1}{8}$

= $(\frac{5}{4})$ ÷ $\frac{1}{8}$

= $(\frac{5}{4})$ x $\frac{8}{1}$

= $\frac{40}{4}$

= 10

4 0

3 years ago

Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.

-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is $x$ dollar and cost of one popcorn is $y$ dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

$2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)$

Multiplying equation (1) by -3 , we will get.....

$-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)$

Now, adding equation (2) and equation (3) , we will get ............

$5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75$

Plugging this $y=3.75$ into equation (1) ......

$2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50$

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

6 0

3 years ago