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djyliett [7]
3 years ago
7

euben's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Reuben $5.70 per pound, and type

B coffee costs $4.30 per pound. This month, Reuben made 167 pounds of the blend, for a total cost of $820.30. How many pounds of type A coffee did he use?
Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

The quantity of type A coffee is 73 pounds

The quantity of type B coffee is 94 pounds .

Step-by-step explanation:

Given as :

The price of Type A coffee costs = $ 5.70 per pound

The price of Type B coffee costs = $ 4.30 per pound

The total quantity of coffee does Reuben purchases = 167 pounds

The total cost of the coffee for 167 pounds = $ 820.30

Let The quantity for type A coffee = a pounds

And The quantity of type B coffee = b pounds

Now, <u>According to question</u>

a + b = 167 pounds      And

$ 5.70 × a + $ 4.30 × b = $ 820.30

Now solving equations

5.70 × ( a + b ) = 5.70 × 167

or, 5.70 a + 5.70 b = 951.9

Now ,

( 5.70 a + 5.70 b ) - (   5.70  a +  4.30  b ) = 951.9 - 820.30

or, ( 5.70 a - 5.70 a ) + ( 5.70 b - 4.30 b ) = 131.6

Or, 0 + 1.4 b = 131.6

∴ b = \frac{131.6}{1.4}

I.e b = 94 pounds

Put the value of b to get a value

So, a = 167 pounds - b

Or, a = 167 - 94

∴   a = 73 pounds

Hence The quantity of type A coffee is 73 pounds

And The quantity of type B coffee is 94 pounds   .  Answer

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deff fn [24]
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What is the distance between (5,10) and (5,2)?
Licemer1 [7]
The distance is 8, since the x co-ordinate stays 5, the y co-ordinate goes from 10 to 2, which is an 8 distance
5 0
3 years ago
PLEASE HELP!
Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

\textrm{Slant height  l} = \sqrt{r^2 + h^2}  (1)

\textrm{Lateral surface area} = \pi r l

\textrm {Base area} = \pi r^2

\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l) (2)

\textrm{Volume V = } (1/3)  \pi r^2h (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA}  = 4\pi(4 + 8.944) =  4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04

Figure(b)

r = 7, h =15

\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55

\textrm{SA}  = 7\pi(7 + 16.55) =  517.89

Figure (c)

r = 5, l = 8

h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA}  = 5\pi(5 + 8) =  204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5


6 0
2 years ago
HELP!!Part B What is the approximate volume of each slice that Hattie's grandma cut? (arc length of each slice is 3 in, vol. of
GalinKa [24]

The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi  \times (r)^2 \times 4 \\\\ r= 4.5 \ inch

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;

The approximate volume of each slice will be;

\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2

Hence, the approximate volume of each slice will be 63.5 inch².

Learn more about the volume here:

brainly.com/question/16788902

#SPJ2

6 0
2 years ago
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