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patriot [66]
3 years ago
14

A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s

elling for $8.85 a pound is blended with Brazilian coffee selling for $3.85 a pound to make a product that sells for $6.55 a pound. How much of each type of coffee should be used to make the blend that will fill the orders?
Mathematics
1 answer:
yan [13]3 years ago
5 0
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
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11111nata11111 [884]

Answer:

32 pizzas

60 pizzas

1/24

Step-by-step explanation:

Se hicieron 8 docenas de pizzas.

Una docena es 12, por lo tanto, el número de pizzas hechas fue:

8 * 12 = 96 pizzas

1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:

1/3 * 96 = 32 pizzas

5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:

5/8 * 96 = 60 pizzas

El número total de pizzas vendidas es:

32 + 60 = 92 pizzas

Esto significa que no se vendieron 4 pizzas. En forma de fracción:

4/96 = 1/24

5 0
3 years ago
Find the slope of the line that passes through the points (4, 3) and (2, -7).
Licemer1 [7]

Answer:

slope is 5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Jose is selling peanuts at the carnival. The original bag he purchased weighs 6 3/4 lbs. If the bags he plans on selling will we
Aleks04 [339]

Answer:

13 bags

Step-by-step explanation:

1: If he has 6 3/4 lbs to start with, this is 6.75 lbs, as 3/4 = 0.75.

2: He wants the new bags to be 1/2 lb, which is 0.5 lbs.

3: If we divide 6.75 by 0.5, we get the exact number of bags he could have - 13.5.

4: However, the bags must be full, so we have to disregard that extra 0.5 bags, and say he can completely fill 13 bags.

Hope this helps! Let me know if you have any questions :)

5 0
3 years ago
Solve the equation. (enter your answers as a comma-separated list. round your answers to four decimal places.) x2e5x + 3xe5x − e
aleksley [76]
It's essential that you use " ^ " to indicate exponentiation if you want to communicate your ideas here accurately.

<span>x2e5x + 3xe5x − e5x = 0 should be written as

x^2e^(5x) + 3xe^(5x) - 1e^(5x) = 0.

e^(5x) can be factored out of all four terms, leaving us with


e^(5x) [x^2 + 3x - 1] = 0.  e^(5x) is never zero, so no solution there.

However, we can set x^2 + 3x - 1 equal to zero and solve for x:

         -3 plus or minus sqrt(3^2 - 4(1)(-1) )
x = ----------------------------------------------------
                                 2
        -3 plus or minus sqrt(13)
   = ----------------------------------------
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So the original equation has two roots.</span>
7 0
4 years ago
4. Lizette said this is correct. Is she right? Explain your answer to this question for
Maslowich

Answer:

Please check the explanation!

Step-by-step explanation:

Given the expression what Lizzet said was correct

6^3\times \:\:3^6=18^8

No, she is not right. Let me solve the expression

Let us solve the expression

6^3\times \:\:3^6

=\left(3\times \:2\right)^3\times \:3^6

\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c

=3^3\times \:2^3\times \:3^6          ∵  \left(3\times \:2\right)^3=3^3\times \:2^3

\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}

=2^3\times \:3^{3+6}                 ∵  3^3\times \:3^6=\:3^{3+6}

=2^3\times \:3^9

Therefore, the correct expression will be:

6^3\times \:\:3^6=2^3\times \:\:3^9

which can be further simplified such as:

6^3\times \:\:3^6=2^3\times \:\:3^9

             =8\times \:19683

             =157464

6 0
3 years ago
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