All categories

1 year ago

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound. He blends Ground Chicory at $4.40 a

Mathematics

2 answers:

zvonat [6]1 year ago

7 0

Answer:

Ground Chicory = 7 pounds and Jamaican Blue Mountain = 5 pounds

Step-by-step explanation:

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound.

Total cost of 12 pounds of coffee blend = 6.25 × 12 = $75

Ground Chicory = $4.40 per pound

Jamaican Blue Mountain = $8.84 per pound

Total weight of coffee blend = 12 pounds

Total amount of coffee blend = $75

Let the weight of Chicory be 'x'

The weight of Blue mountain be (12 - x)

75 = 4.40x + 8.84(12-x)

75 = 4.40x + 106.08 + - 8.84x

75 = (4.40x +-8.84x) + 106.08

75 = - 4.44x + 106.08

-4.44x = 75 - 106.08

-4.44x = -31.08

x = 7 pounds

and (12 - x) = 12 - 7 = 5 pounds

Therefore, Ground Chicory would be used 7 pounds and Jamaican Blue Mountain would be used 5 pounds.

Sphinxa [80]1 year ago

5 0

Answer: Ground Chicory: 7 pounds and Jamaican Blue Mountain: 5 pounds

You might be interested in

A baker’s dozen (13) of cookies is on sale for $2.08.

poizon [28]

So taking this as if there are 13 dozens of cookies. First we do 13 times 12 which would be 156 cookies in total. Then 156 cookies times 2.08 is 324.48

4 0

1 year ago

Read 2 more answers

Angelique had 20 tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left. Angeliqu

alexandr402 [8]

Answer: Both the expressions are exactly same . Both are representing the number of tokens she has now.

Step-by-step explanation:

Given: The total number of tokens Angelique has= 20

Since, she lost some of them, let the number of lost tokens be t.

Then, The remaining tokens she has = 20-t

Then her father triples the tokens she has.

now, the number of token she has= $3(20-t)$ ....>Angelique's expression

By using distributive property,

The number of token she has= $3\times20-3t$

⇒The number of token she has= $60-3t$ ...> Dante's expressions

Hence, both are the same expressions. Both are representing the number of tokens she has now.

7 0

1 year ago

Read 2 more answers

The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

lana [24]

Answer:

Part A) $h=V/(\pi r^{2})$

Part B) $h=4\ cm$

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

$V=\pi r^{2}h$

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

$V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})$

Simplify

$V/(\pi r^{2})=h$

Rewrite

$h=V/(\pi r^{2})$

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

$V=36\pi\ cm^3$

$r=3\ cm$

substitute in the formula and solve for h

$h=36\pi/(\pi 3^{2})$

$h=4\ cm$

8 0

2 years ago

There are 15 people in a party, including Hannah and Sarah. We divide the 15 people into 3 groups, where each group has 5 people

Sindrei [870]

Answer:15/3

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers

Suppose a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a) Find an explicit formula for an: . b) Determine whether the sequence is

lorasvet [3.4K]

I'm going to assume you meant to write fractions (because if $a_n$ are all non-negative integers, the series would clearly diverge), so that

$a_1=\dfrac12-\dfrac12$

$a_2=\dfrac23-\dfrac13$

$a_3=\dfrac34-\dfrac14$

and so on.

a. If the pattern continues as above, we would have the general term

$a_n=\dfrac n{n+1}-\dfrac1{n+1}=\dfrac{n-1}{n+1}$

b. Note that we can write $a_n$ as

$a_n=\dfrac{n-1}{n+1}=\dfrac{n+1-2}{n+1}=1-\dfrac2{n+1}$

The series diverges by comparison to the divergent series

$\displaystyle\sum_{n=1}^\infty\frac1n$

4 0

1 year ago