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r-ruslan [8.4K]
2 years ago
11

Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. Sheldon combines an amount of the two cereals in a single bowl of mi

xed cereal that is 65% fiber. If the bowl contains a total of 12 ounces of cereal, how much of the cereal, in ounces, is Fiber X?
Mathematics
1 answer:
almond37 [142]2 years ago
6 0

Answer:

There are 4 ounces of Fiber X cereal in the mix

Step-by-step explanation:

Lets n be the amount of ounces of Fiber X in the mix. Since there are a total of 12 ounces in the mix, then, on terms of n, there are 12-n ounces of Fiber Max on it.

Since 65% of the mix is Fiber, then there are 12*0.65 = 7.8 ounces of Fiber. We can also obtain this value if we take the proportions of Fiber in each cereal of the mix (in terms of n), so that we can obtain the true value of n

we have

7.8 = n *0.55 + (12-n)*0.7 = 0.55n + 8.4 -0.7 n = 8.4-0.15n

Therefore

0.15 n = 0.6

n = 0.6/0.15 = 4

As a consecuence, there are 4 ouces of Fiber X cereal in the mix.

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Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
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4 0
2 years ago
Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x
saveliy_v [14]

step 1: distributive property.

step 2: combine like terms.

step 3: subtraction property of equality.

step 4: addition property of equality.

step 5: division property of equality.  

hope this helps.

3 0
2 years ago
Read 2 more answers
5 rubber stamps cost $9.70 which equation would help determine the cost of 11 rubber stamps
Inessa05 [86]

Answer:

$1.94 times 11 =21.34

Step-by-step explanation:

  So 5 rubber stamps cost $9.70. Your going to divide $9.70 by 5 so you get the cost of each stamp which is $1.94 each stamp. Your going to take $1.94 and multiply it by 11. You will get 21.34. :D Hope i helped you c: By the way this is the simplified version of the equation so i dont know if you want a longer version of the answer but ya! :D

3 0
2 years ago
Read 2 more answers
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
2 years ago
On a piece of paper, graph y&lt; x-3. Then determine which answer matches<br> the graph you drew
Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

y

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

y=x-3

Now, we plot this line on a graph. The given line is of the form:

y=mx+b Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line y=x-3, m=1,b=-3

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, 0=x-3\\x=3

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality y. The 'y' value is less than x-3. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0
2 years ago
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