Brandon mixed 6.83lb of cashews with 3.57lb of pistacios. after filling up 6 bags that were the same size with the mixture, he hadd 0.35lb of nuts left. what was the weight of each bag?

QUESTION POSTED AT 06/12/2019 - 01:55 PM

Answered by admin AT 06/12/2019 - 01:55 PM

The weight of each bag filled by Brandon, is \fbox{\bf1.675\,lb}.

Further explanation:

The amount of cashews and pistachios mixed are 6.83\,lb and 3.57\,lb respectively then the total weight of mixture is the sum of cashews and pistachios.

After the above nut mixture created by mixing cashews and pistachios is filled in six bags, the weight of remaining nuts is 0.35\,lb.

Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.

\begin{aligned}{\text{Total mixture filled in six bags}}&=6.83+3.57-0.35\\&=10.4-0.35\\&=10.05\\\end{aligned}

Now, this obtained amount of mixture weighing 10.05\,lb is filled equally in 6 bags as the size of bags is same then the amount of mixture in one bag or each bag is calculated as,

\begin{aligned}{\text{Total mixture filled in each bags}}&=\frac{{10.05}}{6}\\&=1.675\\\end{aligned}

Thus, the weight of each of the six bags that Brandon fills, is \fbox{\bf1.675\,lb}.

Learn more:

1. Linear equation application brainly.com/question/2479097

2. Composite functions brainly.com/question/2142762

3. Linear equation application brainly.com/question/2479097

Answer details:

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: cashews, pistachios, one bag, six bag, each bag, weight, Brandon, same size, mixture, nuts, 6.83lb, 3.57lb, 0.35lb, total mixture, amount of mixture, remaining amount, remaining weight, total weight, nut mixture.

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QUESTION POSTED AT 28/01/2020 - 12:41 AM

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ANSWERED AT 28/01/2020 - 12:41 AM


QUESTION POSTED AT 28/01/2020 - 12:41 AM

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Answer:

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Step-by-step explanation:

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Let 'n' number of boxes have been filled with 1450 kernels and 120 popped kernels in each box.

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QUESTION POSTED AT 27/01/2020 - 12:46 AM

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Step-by-step explanation:

we have

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QUESTION POSTED AT 27/01/2020 - 12:31 AM

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ANSWERED AT 26/01/2020 - 11:53 PM


QUESTION POSTED AT 26/01/2020 - 11:53 PM

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QUESTION POSTED AT 26/01/2020 - 11:52 PM

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ANSWERED AT 26/01/2020 - 11:50 PM


QUESTION POSTED AT 26/01/2020 - 11:50 PM

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Answer:

b. Tyler

Step-by-step explanation:

Given,

The part of pizza ate by Conor = \frac{1}{4}=\frac{2}{2\times 4}=\frac{2}{8}

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The part of Audrey = \frac{4}{8}

Since,

\frac{2}{8}=\frac{2}{8}<\frac{4}{8}<\frac{6}{8}

Hence, Tyler ate the most of the two pizza.

Option b is correct.

ANSWERED AT 26/01/2020 - 11:46 PM


QUESTION POSTED AT 26/01/2020 - 11:46 PM

Use the four functions below for this question: f(x) g(x) h(x) j(x) graph of line going through (– 2, 2) and (– 1, – 1) g(x) = 3x – 4 Kelly had 4 apples in her kitchen on Monday. On Tuesday, only 1 was left. x j(x) –2 –2 2 10 6 22 Compare and contrast these four functions using complete sentences. Focus on the slope and y-intercept first, and then on any additional properties of each function.

Answer:

We have four functions:

For f(x) we have two points (-2,2) and (-1,-1)

we will use two point form which is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

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y-2=\frac{-1-2}{-1-(-2)}(x-(-2))

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y-4=-3(x-0)

\Rightarrow y=-3x+4

So, h(x)= -3x+4

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We will use (-2,6) and (2,22)  to find the function with two point form.

y-6=\frac{22-6}{2+2}x+2)

\Rightarrow y=4x+14

j(x)= 4x+14

To find the slope we will compare the given function with general equation which is y= mx +c; m is the slope

And to find y-intercept we will put x=0

f(x)=-3x-4

Slope is: -3

And y-intercept is: (0,-4)

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Slope is: 3

And y-intercept is: (0,-4)

h(x)= -3x+4

Slope is: -3

And y-intercept is: (0,4)

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Slope is: 4

And y-intercept is: (0,14)

ANSWERED AT 26/01/2020 - 11:33 PM


QUESTION POSTED AT 26/01/2020 - 11:33 PM

The weight (w) of an object is the product of its mass (m) in kilograms and g, the acceleration due to gravity in meters/second2. if the acceleration due to gravity is 9.8 meters/second2, find the corresponding weights for these masses. mass in kilograms = {22.1, 33.5, 41.3, 59.2, 78} the weights (in newtons) for the given masses are .

You have all values that needed to solve the task. Just use the simple formula w = m*g = kg* \frac{m}{s^2} = N . As you see I also gave you the origin of Newton. I don't give you a direct answer because it will be more helpful if you understand it using given formula.

ANSWERED AT 26/01/2020 - 11:28 PM


QUESTION POSTED AT 26/01/2020 - 11:28 PM

Express 7.75 as a mixed fraction in it's lowest form

7 is the whole number so leave it as is

75/100

Divide by 25

3/4

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ANSWERED AT 26/01/2020 - 10:42 PM


QUESTION POSTED AT 26/01/2020 - 10:42 PM

A saleswomen sells a dried fruit mixture for $5.7 per pound and nuts for $14.55 per pound. She wants to blend the two to get a 10 pound mixture that she will sell for $9.24 per pound. How much should she use? to get a 10 pound mixture she should use __ lb of fruit mixture and __ lb of nuts.

Let the fruit mixture of $5.7 per pound be for x pounds.

The nut of $14.55 per pound would then be:   (10 -x).

Since the total blend of both = 10 pounds, selling for $9.24 per pound.

cost of 1st type + cost of second type = Total cost of blend mixture

5.7*x  +    14.55*(10 - x) = 9.24*10

5.7x + 145.5 - 14.55x = 92.4

5.7x - 14.55x = 92.4 - 145.5

-8.85x = -53.1

x =  -53.1/-8.85

x = 6

The other  will be (10 -x) = 10 - 6 = 4.  

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ANSWERED AT 26/01/2020 - 10:37 PM


QUESTION POSTED AT 26/01/2020 - 10:37 PM

A cylindrical water trough has a diameter of 6 feet and a height of 2 feet. It is being filled at the rate of 4 ft^3/min. How fast is the water level rising when the water is 1 foot deep?

Volume of Cylinder V = πr²h

diameter = 6 feet, radius = 6/2 = 3 feet

dV/dt =  (dV/dh) * (dh/dt)  by change rule.

V =  πr²h

dV/dh =  
πr² = π*3² = 9π  ft²

dV/dt = 2 ft
³/min

dV/dt =  (dV/dh) * (dh/dt)

2 ft³/min = 9π ft²   * (dh/dt)

9π ft²   * (dh/dt) = 2 ft³/min

(dh/dt) = (2 ft³/min)/(9π ft²)   

(dh/dt) = (2/
9π)  ft/min

So the water level is rising at  (2/9π)  ft/min.

ANSWERED AT 26/01/2020 - 10:36 PM


QUESTION POSTED AT 26/01/2020 - 10:36 PM