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maksim [4K]
3 years ago
11

A coffee mixture has beans that sell for $0.08 a pound and beans that sell for $0.32. If 110 pounds of beans create a mixture wo

rth $0.44 a pound, how much of each bean is used? Model the scenario then solve it. Then, in two or more sentences explain whether your solution is or is not reasonable.
Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

$0,08 bean= -65 pounds

$0,32 bean= 165 pounds

Step-by-step explanation:

we need to understand that the sum of 2 values is not going to be higher than any of those to values

Maybe the numbers have an error

According to the text we can have to expressions just we need to understand it

The problem says beans x + beans y = 110 pounds of mixture

From this we have the first expression x+y=110

Then a mix of the two kind of beans produces a mixture worth $0,44

From this we have the second expression 0,08(x)+0,32(y)=0,44(z)

z is the weight of the mixture and we know it is 110 pound

0,08(x)+0,32(y)=48,4

x=pounds of the first bean

y=pouns of the second bean

Now we need to solve one and pu it into the other

x=110-y

0,08(110-y)+0,32(y)=48,4

8,8-0,08y+0,32y=48,4

0,24y=39,6

y=165

x=110-165=-65

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A magician has a collection of 52 cards, with 26 red and 26 black cards. Four of these cards are classified as 'special', and tw
Brums [2.3K]

Answer:

option B (28/52)

Step-by-step explanation:

from probability

P(A∪B)=P(A)+P(B)-P(A∩B)

where

P(A∪B) = probability that event A or B happen

P(A∩B) = probability that event A and B happen simultaneously

P(A) =  probability that event A happen

P(B) =  probability that event B happen

the probability that the card is special or red

P( special or red)= P(special) + P(red) - P( special and red)

since

P(special)= 4/52

P(red) = 26/52

P( special and red) = 2/52

therefore

P( special or red)= 4/52 + 26/52 -  2/52 = 28/52

P( special or red)= 28/52

(option B)

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3 years ago
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What is the equation for the line of best fit for the following data? Round the slope and y intercept of the line to three decim
vesna_86 [32]

The line of best fit is given by the equation y = 1.56x - 4.105

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Plotting the points on a graph using geogebra online tool:

The line of best fit is given by the equation y = 1.56x - 4.105

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Jeffrey is using a copy machine to make posters for a school play. The machine prints the posters at a constant rate. After 3 mi
jasenka [17]

Answer:

B: 11 minutes.

Step-by-step explanation:

So, we know that the machine prints at a constant rate.

After 3 minutes, the machine prints 108 posters.

So, let’s find the <em>unit rate. </em>We will divide the output over the input. So:

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So, the unit rate of the machine is 36 posters per minute.

We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:

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So, we can substitute 396 for p and solve for t. Hence:

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Divide both sides by 36:

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Therefore, it will take Jeffrey 11 minutes to make 396 posters.

7 0
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