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zhannawk [14.2K]

3 years ago

9

What is the nth term of the geometric sequence 4, 8, 16, 32, ... ?

1 answer:

sashaice [31]3 years ago

6 0

Formula:

a_n = a1 r^(n-1)

a1 is the first term = 4
r = common ratio = 8/4 = 2

so,
a_n = 4 (2)^(n-1)
or
a_n = 2 (2)^n

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A school snack bar sells a mix of granola and raisins. The mix includes 2 pounds of granola for every 3 pounds of raisins. How m

kifflom [539]

The easiest way to solve a problem like this is to cross multiply and solve

The problem gives us a ratio
2 pounds of granola = 3 pounds of raisins
which makes a ratio of $\frac{2}{3}$
The other ratio is
? pounds of granola = 24 pounds of raisins
which makes a ratio of $\frac{x}{24}$

To solve, set them equal to each other ...
$\frac{2}{3} = \frac{x}{24}$

Now we must cross multiply...
To cross multiply, we multiply 2 and 24
and we multiply 3 and x
Now we have an equation to solve!
3x = 48
To solve and get your final answer, divide...
x = $\frac{48}{3}$

x = 16
You'll need 16 pounds of granola

5 0

3 years ago

The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 .

Novosadov [1.4K]

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A; &

Let Claire be = C

A: C = 7 : 4

$\dfrac{A}{C} =\dfrac{7}{4}$

7C = 4A

$C = \dfrac{4A}{7}$ --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

$\dfrac{A}{C+68}= \dfrac{25}{41}$

25(C + 68) = 41A

C + 68 = $\dfrac{41}{25}A$

$C = \dfrac{41}{25}A - 68$ --- (2)

Equating (1) and (2) together;

$\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68$

$\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68$

$\dfrac{100A - 287 A}{175} =- 68$

$\dfrac{-187A}{175} = -68$

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; $C = \dfrac{4A}{7}$

$C = \dfrac{4*64}{7}$

C = 36.57

C ≅ 37 beads

4 0

3 years ago

In a factory, a manager tests 250 products and finds defects in 7 of them. How many defects are likely going to be in a 10,000 u

Natalka [10]

Answer:

280

Step-by-step explanation:

first make a proportion. 7 over 250= x over 10,000. cross multiply to get 250x=70,000. 70,000 divided by 250 which gets you 280.

7 0

3 years ago

(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of

dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

$\frac{4-0}{-1-2} =\frac{4}{-3}$

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

$y=\frac{-4}{3} x+b$

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

$y=\frac{-4}{3} x+\frac{8}{3}$

4 0

3 years ago

Read 2 more answers

I would appreciate it if someone would show me how to solve these y-intercept tables. I’ve been confused on them for a while, an

harina [27]

Answer:

Substitute the numbers below x by x in the equation given in the middle of the table and that will be the answer for y.

Step-by-step explanation:

For example, x= -1

y= x + 6

y= -1 + 6

y= 5

8 0

3 years ago