Ask question

Ask question

All categories

4 years ago

5

How many pounds of coffee worth $9 a pound should be added to 10 pounds of coffee worth $3 a pound to get a mixture worth $7 a p

ound

1 answer:

Dima020 [189]4 years ago

6 0

Here is your answer......

You might be interested in

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

8' by 4', use a scale factor of 1. 5 to enlarge a window, what will the area of the window be after it is enlarged?

solmaris [256]

Enlarging by 1.5 will make the lengths 12' and 6'. Area is L*W. 12*6=72
<span>72'^2</span>

6 0

3 years ago

8 m<br> 15 m<br> What is the perimeter?

Vadim26 [7]

Answer:

The perimeter is 46.

Step-by-step explanation:

You have to add the numbers 15 + 15 = 30 and 8+8 =16 then add 30 plus 16 which gets you 46.

7 0

3 years ago

Read 2 more answers

Which of the following best describes the diameter of a circle

inysia [295]

Answer:

You need more info

Step-by-step explanation:

It does not give any files

6 0

3 years ago

Read 2 more answers

Camille is trying to find the area of her new bedroom to see if her new carpet will fit. What unit should she use?

brilliants [131]

She should use square feet. always use square feet when calculating area.

5 0

3 years ago

Read 2 more answers