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2 years ago

10

hannah is making maffins. The recipe calls for 5/8 cup of milk to make 20 muffins. What is the unit rate for cups of milk per mu

ffins? For muffins per cup of milk?

1 answer:

STALIN [3.7K]2 years ago

6 0

Answer:

32 muffins

Step-by-step explanation:

one cup of milk will make 32 muffins

you can set up a proportion of milk/muffins = milk/muffins

let 'x' = number of muffins made from one cup of milk

5/8 ÷ 20 = 1 ÷ x

cross-multiply to get 5x = 20(8)

5x = 160

x = 32

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Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.

rjkz [21]

Given:

The explicit function is:

$f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}$

To find:

$f(1)=?,r=?$ and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

$f(n)=ar^{n-1}$ ...(i)

Where, a is the first term and r is the common ratio.

We have,

$f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}$ ...(ii)

On comparing (i) and (ii), we get

$a=1000$

$f(1)=1000$

And,

$r=\dfrac{1}{4}$

For $n=1$ ,

$f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}$

$f(1)=1000\left(\dfrac{1}{4}\right)^{0}$

$f(1)=1000(1)$

$f(1)=1000$

For $n=2$ ,

$f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}$

$f(2)=1000\left(\dfrac{1}{4}\right)^{1}$

$f(2)=1000\times \dfrac{1}{4}$

$f(2)=250$

Similarly, substituting $n=3,4,5$ , we get

$f(3)=62.5$

$f(4)=15.625$

$f(5)=3.90625$

Therefore, $f(1)=1000,r=\dfrac{1}{4}$ and the first five terms are $1000,250,62.5,15.625,3.90625$ .

5 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!!!!!!!!!

laila [671]

Answer:

1). 110.8

2). 125

Step-by-step explanation:

7 0

3 years ago

What are all the factos of 36

oksano4ka [1.4K]

Hi there!

»»————-　★　————-««

I believe your answer is:

{1, 2, 3, 4, 6, 9, 12, 18, 36}

»»————-　★　————-««

Here’s why:

A factor is a whole number that is multiplied by another to have a product have another number.

⸻⸻⸻⸻

The Factors Are:

1 (1 * 36 = 36)
2 (2 * 18 = 36)
3 (3 * 12 = 36)
4 (4 * 9 = 36)
6 (6 * 6 = 36)
9 (9 * 4 = 36)
12 (12 * 3 = 36)
18 (18 * 2 = 36)
36 (36 * 1 = 36)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

3 years ago

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

qaws [65]

Answer:

4

Step-by-step explanation:

D (-1, -3) and F( 2, 3)

G (-4, -4)

Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?

If the line is parallel to DF then they have the same slope.

slope of line DF is m= difference in y/ difference in x = (-3-3)/( -1-2) = -6/-3 = 2

so slope of line that passes trough G and is ║ with DF is also m= 2

From point G (-4, -4) we go with a slope of 2 until we get to the y-axis

So we go up 2 and 1 left, 2up and 1 left, ... until we get to the point (0, 4), because the slope = rise/run = rise 2/run 1

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2 years ago

Which equation best represents the data

arlik [135]

The table is an illustration of a linear table, and the equation of the data is y = 1.4x

<h3>How to determine the equation of the data?</h3>

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The above table is a proportional linear equation

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Substitute k = 1.4 in k = y/x

y/x = 1.4

Multiply both sides by 1.4

y = 1.4x

Hence, the equation of the data is y = 1.4x

Read more about constant of proportionality at:

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2 years ago