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Svetradugi [14.3K]
3 years ago
13

Answer soon plz

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

A) 25 < (1/2)x + 4

B)The X=42                              that is all i got on this one :l i hope it helps a bit

Step-by-step explanation:

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A certain recipe calls for 2 2/3 cups of sugar. If the recipe is to be doubled, how much sugar should be used?
lawyer [7]
You should double the sugar as well, but first let us simplify the 2 2/3 to become 8/3, then double that to have 16/3,
Which is then can be simplified to 5 1/3
6 0
3 years ago
Read 2 more answers
Find the value of x. *<br> Please help I’m really confused
mezya [45]

Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle is 180 degrees.

90 + 2x - 2 + x + 5 = 180 degrees.

Combine like terms.

3x + 93 = 180

Subtract 93 from both sides.

3x = 87

Divide both sides by 3

x = 29

4 0
3 years ago
Rolling a Red and Yellow Dice
grandymaker [24]

Answer:

Option C 5/12 is correct option

Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

Probability= total no of favorable outcomes / total no of outcomes

in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

     (2,3) (2,4) (2,5) (2,6)

              (3,4) (3,5) (3,6)

                       (4,5) (4,6)

                                (5,6)

These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

                                                                                                = 5/ 12

Option C 5/12 is correct option

3 0
3 years ago
Use the distributive property to simplify 4^x(2^-6)
julsineya [31]
Is it 4 times x or 4 to the power of x, if the first one then, 8x-24x. if the second then 8^-6x
6 0
3 years ago
You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

On the other hand, since the available money to buy fence is D dollars,

\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}

Furthermore, the area of the enclosed land is given by

A=xy

Solving the second equation for x,

\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

Substituting into the equation for the area,

\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}

To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0
11 months ago
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