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telo118 [61]
3 years ago
13

At Burger Barn, each burger is made with 5/12 pounds of beef.If the chef has 3 1/3 pounds of ground beef, how many burgers can b

e made using all the ground beef?
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

8 burgers can be made.

Step-by-step explanation:

3\frac{1}{3} : \frac{5}{12}  = \frac{10}{3} * \frac{12}{5} = \frac{10*12}{3*5} =\frac{120}{15} = 8

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andreyandreev [35.5K]
14.  (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0.  We can set each term equal to 0 to find the solutions:

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

15.  x^{2} +3x=10

To solve this equation, you first need to set it equal to 0:

x^{2} +3x=10 \\ x^{2} +3x-10 = 0

Next, it can be factored:

x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0

Finally, we can solve just like we did above:

x + 5 = 0
x = -5

x - 2 = 0
x = 2

16.  4x^2=100

First, you can simplify by dividing each side by 4:

4x^2=100 \\ x^2=25

Now, set the equation equal to 0:

x^2=25 \\ x^2-25=0

Next, factor:

x^2-25=0 \\ (x+5)(x-5)=0

Finally, find the solutions:

x + 5 = 0
x = -5

x - 5 = 0
x = 5
6 0
3 years ago
Write an equation (y=mx+b) through the points: (3,-1) and (8,9)
Advocard [28]

Answer:

y=2x-7

Step-by-step explanation:

m==2

y=mx+b

9=16-7

y=2x-7

4 0
3 years ago
Lia has a red ribbon that is 2 1/12 inches long she has a blue ribbon that is 4 time as many inches as long how many inches long
Rom4ik [11]

Answer:

8 1/3 inches

Step-by-step explanation:

Length of the ribbon = 2 1/12 inches

Blue ribbon is 4 time as many inches as long as red

Length of the blue ribbon = 4 * 2 1/12

Length of the blue ribbon = 4 * 25/12

Length of the blue ribbon = 100/12

Length of the blue ribbon= 25/3

Length of the blue ribbon = 8 1/3 inches

Hence the blue ribbon is 8 1/3 inches long

6 0
3 years ago
Please help!!! i'll give brainliest and offering 20 pts each!!!
Aleks04 [339]

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0
2 years ago
The product of - 6 and a number x, increased by 23 is – 163. What is<br>the number?​
vodka [1.7K]

Answer:

Hope this is correct

4 0
2 years ago
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