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jonny [76]
3 years ago
10

There are 48 people who have signed up to attend the midnight barbecue at the Rainbow Canyon Recreation Center. The chef wants t

o make enough burgers so that each person can have 1 1/2 burgers.
A. How many burgers should he make?
B. He uses 1/4 pound of beef in each burger.
B. How much ground beef should he order?
Mathematics
1 answer:
BARSIC [14]3 years ago
6 0
A) 264 11/2 *48
B) 66 pounds of beef needed .25*264
C) 66 pounds
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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
At XYZ Middle School, 40 percent of the 500 students ride their bikes or walk to school. How
iVinArrow [24]

Answer:

200 students either bike or walk to school

Step-by-step explanation:

0.4 = 40%

500 * 0.4 = 200

40% is 200 students

200 students either bike or walk to school

7 0
3 years ago
A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. Approxima
Blababa [14]

Answer:

Option C is correct

76 feet

Step-by-step explanation:

Area of square(A) is given by:

A =s^2

where, s is the side of the square.

As per the statement:

A square ceiling has an area of 360 square feet.

⇒A = 360 square feet.

then;

s^2 = 360

⇒s = \sqrt{360} =18.973666

Perimeter(P) of square is given by:

P = 4s

then;

P = 4 \cdot 18.973666 = 75.894664 \approx 76 ft

Therefore, 76 feet molding does he need.

7 0
3 years ago
A father is 32 years older than his son. In four years,
sergiy2304 [10]

Answer:

  • father: 36
  • son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

  5(s+4) = (s+32)+4

  5s +20 = s +36 . . . . . eliminate parentheses

  4s = 16 . . . . . . . . . . . . subtract s+20

  s = 4

The son is now 4 years old; the father, 36.

_____

<em>Alternate solution</em>

In 4 years, the ratio of ages is ...

  father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

  father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

  father: 36; son: 4.

5 0
3 years ago
Solve for x. −ax + 4b &gt; 9 plz help me
likoan [24]

Answer:

x < \frac{9-4b}{a}

Step-by-step explanation:

Given

- ax + 4b > 9 ( isolate the term in x by subtracting 4b from both sides )

- ax > 9 - 4b ( divide both sides by - a )

Remembering to reverse the inequality symbol when dividing by a negative quantity, thus

x < \frac{9-4b}{a}

7 0
3 years ago
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