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vagabundo [1.1K]
2 years ago
11

When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than 1/3 the total number of gues

ts. Which graph represents this scenario?

Mathematics
2 answers:
LekaFEV [45]2 years ago
8 0

Answer:

4th graph

Step-by-step explanation:

ehidna [41]2 years ago
5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the total number of guests

y -----> the amount of meat

we know that

The inequality that represent this situation is equal to

y\geq \frac{1}{3}x-2

Note The inequality is "greater than or equal" because the given statement say "at least"

The solution of this inequality is the shaded area above the solid line y=\frac{1}{3}x-2

The slope of the solid line is positive

The y-intercept of the solid line is -2  

The x-intercept of the solid line is 6

therefore

The graph in the attached figure

Remember that

The values of x an y cannot be a negative number

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Match each set of vertices with the type of quadrilateral they form.
Serjik [45]
Only correct the first one.

Please, see the graph in the attached file.

1) a rectangle with                   A(3,3), B(3,6),
    noncongruent          ←→     C(7,6), D(7,3)
    adjacent sides
    (in green)

2) a parallelogram                  
    with                                       A(2,0), B(3,2) 
    nonperpendicular     ←→     C(6,3), D(5,1)
    adjacent sides
    (in blue)

3) a square                  ←→       A(3,3), B(2,5),
    (in red)                                   C(4,6), D(5,4)

4) a rhombus with                    A(2,-2), B(3,0),
    nonperpendicular    ←→     C(4,-2), D(3,-4)
    adjacent sides
    (in black)

5 0
2 years ago
​z+w−3 ​6z−10w ​​ ​=k ​=8 ​​ consider the system of equations above, where kkk is a constant. for which value of kkk are there i
Reptile [31]
Our system is the following :
z+w-3=k\\
6z-10w=k,\\\text{Solve the first equation for z like this:} \\z=k-w+3\\\text{Substitute in the second equation like this:}\\6(k-w+3)-10w=k\\6k-16w+18=k\\16w=6k+18-k\\w=\frac{1}{16}(6k+18-k)

As you see, the system has only one solution whenever the value of k is. Unlike you have not well written the system. 
8 0
1 year ago
The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of mone
Elena-2011 [213]

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

4 0
1 year ago
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
2 years ago
Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain d
goldenfox [79]

Answer:

                           Drug User   Not a drug user    Totals

Test positive       475                     475                  950

Test negative      25                      9025               9050

Totals                   500                   9500               10,000

Step-by-step explanation:

                           Drug User   Not a drug user    Totals

Test positive       475                     475                  950

Test negative      25                      9025               9050

Totals                   500                   9500               10,000

As we know that 5% of all people are drug users

Total drug users=5% of 10,000=0.05(10,000)=500

Total non drug users= Total people - drug users= 10,000-500=9500

or total non drug users=95% of 10,000=0.95(10,000)=9500

Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

Test positive for drug user= 95% of 500=0.95(500)=475

Test negative for non drug user= 95% of 500 = 0.95(9500)=9025

Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

Test negative for drug user= 5% of 500=0.05(500)=25

Test positive for non drug user= 5% of 9500 = 0.05(9500)=475

4 0
1 year ago
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