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MAVERICK [17]
2 years ago
13

Martin has 2 5/8 pounds of ground beef. He wants to divide the beef into equal sized portions to put into his freezer. The porti

ons must be less than one pound each. How many equal sized portions can Martin make?
Mathematics
1 answer:
Licemer1 [7]2 years ago
6 0

Answer:

a) 7 equal sized pieces of 3/8 pounds

               7* 3/8 =  21/8

b) 3 equal sized pieces of 7/8 pounds

               3* 7/8 =  21/8

Step-by-step explanation:

Martin has 2 5/8 pounds of ground beef.

2 5/8 = 21/8 pounds = 2.625 pounds

Because 21 is divisible by 3 and 7, we can arrange the ground beef in two configurations

a) 7 equal sized pieces of 3/8 pounds

               7* 3/8 =  21/8

b) 3 equal sized pieces of 7/8 pounds

               3* 7/8 =  21/8

You might be interested in
Values of x in the inequality -3x+1<7
mojhsa [17]

Answer:

The value of x is: x > -2

Step-by-step explanation:

The interval notation if you need it is (-2, ♾)

6 0
3 years ago
|1/2b-8|=|1/4b-1|<br> b=____ and ____
Deffense [45]

Answer:

  b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

  1/2b -8 = 0

  b -16 = 0

  b = 16

The absolute value function on the right has a turning point where its value is zero:

  1/4b -1 = 0

  b -4 = 0

  b = 4

For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

  1/2b -8 = 1/4b -1

For 4 < b < 16, the function on the left negates its argument, so the equation in this domain is ...

  -(1/2b -8) = 1/4b -1

For b < 4, both functions negate their arguments, so the equation in this domain is ...

  -(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

  1/2b -8 = 1/4b -1

  2b -32 = b -4 . . . . . . . . multiply by 4

  b = 28 . . . . . . . . . . . . add 32-b to both sides

This solution is in the domain of the equation, so is one of the solutions to the original equation.

<u>Domain 4 < b < 16</u>

  -(1/2b -8) = 1/4b -1 . . . . equation in this domain

  -2b +32 = b -4 . . . . . . multiply by 4

  36 = 3b . . . . . . . . . . . add 2b+4 to both sides

  12 = b . . . . . . . . . . . . divide by 3

This solution is in the domain of the equation, so is the other solution to the original equation.

<h3>Graph</h3>

For the purposes of the graph, we have define the function g(b) to be the difference of the two absolute value functions. The solutions are found where g(x) = 0, the x-intercepts. The graph shows those to be ...

  b = 12  and  b = 28

__

<em>Additional comment</em>

Defining g(b) = |1/2b-8| -|1/4b-1|, we can rewrite it as ...

  g(b)=\begin{cases}7-\dfrac{1}{4}b&\text{for }b < 4\\-\dfrac{3}{4}b+9&\text{for }4\le b < 16\\\dfrac{1}{4}b-7&\text{for }16\le b\end{cases}

Then the solutions are the values of b that make g(b) = 0.

4 0
1 year ago
I NEED AN ANSWER ASAP! Write the equation of the line passing through (7, 1), (7, -4), and (7, 4).
nekit [7.7K]

y = 0x +0

this line is straight up and down so it has a slope of 0 and it never crosses the y axis so it has a y intercept of 0.

4 0
3 years ago
What is the length of PC?
marshall27 [118]
<span>31 trillion kilometers or 19 trillion miles.</span>
7 0
3 years ago
6. Carla runs 3 miles in 30 minutes.
NARA [144]

Answer:

Carla ran 0.1 miles per minute.

Step-by-step explanation:

To solve this, we need to use the distance formula.

The formula is d=rt, where d is the distance traveled, r is the rate in which the distance is traveled, and t is the amount of time it took to go that distance. So lets plug it all in.

d=rt

3=(r)(30)

Now, we need to do the inverse of multiplying 30 to both sides, which would be the same as dividing by 30 on both sides.

3/30=(r)(30/30)

0.1=r

The rate is 0.1. Carla ran 0.1 miles per minute.

3 0
2 years ago
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