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Sidana [21]
3 years ago
8

Half the difference of a number and 16 is negative 2

Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

20

Step-by-step explanation:

Work backwards. If -2 x 2= -4 then something plus negative four will equal 16, which is 20.

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Solve the following system of equations . Plot the solution to the system on the provided graph
navik [9.2K]

Answer:

(6, -3)

Step-by-step explanation:

I will solve this system using elimination.

[tex]\left \{ {{-x+2y=-12} \atop {2x+3y=3}} \right.[/tex]

I will multiply -x+2y=-12 by 2 so that -x becomes -2x.

2(-x + 2y = -12)

Distribute.

-2x + 4y = -24

Now subtract this from the other equation.

2x + 3y = 3

<u>-2x + 4y = -24</u>

        7y  =  -21

Divide both sides by 7.

y = -3

Now that we have the value of y, plug it into the original equation.

-x + 2(-3) = -12

Simplify.

-x - 6 = -12

Add 6 to both sides.

-x = -6

Divide both sides by -1.

x = 6

(6, -3)

3 0
3 years ago
A group of workers can plant 6 3/4 acres in 1 7/8 days. What is the unit rate in acres per day?
Sedaia [141]

Answer:

The answer is 3.6 acres per day

Step-by-step explanation:

To find the unit rate divide the number of acres by number of days

∴ Unit rate = 6\frac{3}{4} ÷ 1\frac{7}{8}

                  = (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8

                  = 27/4 × 8/15 = 18/5 = 3.6 acres per day

6 0
3 years ago
ADDING FRACTIONS:
bazaltina [42]

Here is your answer:

  • \frac{4}{11} + \frac{3}{8}
  • \frac{4}{11}\times 8 = \frac{32}{88}+\frac{3}{8} \times 11 =\frac{33}{88}
  • 32 + 33 = 65 =\frac{65}{88}
  • = \frac{65}{88}

Therefore the answer is "65/88."

Hope this helps!

7 0
3 years ago
Read 2 more answers
In the figure below. AB is a diameter of circle P.
valentinak56 [21]

Answer: on khan academy answer: 221

Step-by-step explanation:

5 0
3 years ago
A bakery sells rolls in units of a dozen. The demand X (in 1000 units) for rolls has a gamma distribution with parameters α = 3,
bearhunter [10]

Answer:

The value  is  E(X) =  \$ 1.7067

Step-by-step explanation:

From the question we are told that

   The  parameters  are  α = 3, θ = 0.5

    The cost of making a unit on the first day  is  c = $2

    The selling price of a  unit on the first day is  s = $5

    The selling price of a leftover unit on the second day is  v  = $ 1

Generally the profit of a unit on the first day is

        p_1 = 5 - 2

           p_1 = \$3

The profit of a unit on the second day is

       p_2 = 1 - 2

=>     p_2 = - \$1

Generally the probability of making profit greater than $ 1 is mathematically represented as

    P(X >  1 ) = Gamma (X ,\alpha , \theta)

=>   P(X >  1 ) = Gamma (1 ,3 , 0.5)

Now from the gamma distribution table  we have that

    P(X >  1 ) =  0.67668

Generally the probability of making profit less than or  equal to  $ 1 is mathematically represented as

       P(X \le  1 ) = 1 - P(X >  1 )

=>     P(X \le  1 ) = 1 - 0.67668

=>     P(X \le  1 ) = 0.32332    

So  the probability of making  $3  is    P(X >  1 ) =  0.67668

and  the probability of making  -$1  is   P(X \le  1 ) = 0.32332  

Generally the value of profit per day is mathematically represented as

      E(X) =  3 *  P(X >  1 )   +   (-1  *  P(X \le 1 ) )

=>     E(X) =  3 * 0.67668   +   (-1  *  0.32332 )

=>     E(X) =  \$ 1.7067

4 0
3 years ago
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