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3 years ago

(2p + 4) + 5 (p-1) - (p+7)

Mathematics

1 answer:

jonny [76]3 years ago

6 0

Your answer will be, "6p - 8"

Thanks,

Deku ❤

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How many solutions does the system have? y=3x+3 y=-2x+3

STatiana [176]

Answer:

One solution (0, 3).

Step-by-step explanation:

As both expressions in x are equal to y:

3x + 3 = -2x + 3

3x + 2x = 3 - 3

5x = 0

x =0.

So y = 3(0) + 3 = 3.

8 0

2 years ago

Read 2 more answers

A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Seven h

Arisa [49]

Answer:

Step-by-step explanation:

Suppose the dimensions of the playground are x and y.

The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is

A=x*y= x*(390-3/2x)=-3/2 x^2+390x

Calculating the derivative of A and setting it equals to 0 to find the maximum

A'= -3x+390=0

This yields x=130.

Therefore y=780/2-3/2*130=195

Thus, the maximum area is 130*195=25,350ft^2

8 0

3 years ago

Consecutive angles in a parallelogram are supplementary. What is the value of x?

Naddika [18.5K]

Step-by-step explanation:

HERE,

$\angle{PQR=20+2x }$ ⠀

$\angle{ QRS=6x }$ ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

$\angle{PQR}+\angle{QRS}=180$ ⠀

$\tt{20+2x+6x=180 }$ ⠀

$\tt{8x+20=180 }$ ⠀

$\tt{8x=180-20 }$ ⠀

$\tt{8x=160 }$ ⠀

$\tt{x=\dfrac{160}{20} }$ ⠀

$\tt{ x=20 }$ ⠀

8 0

2 years ago

A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water

Aloiza [94]

Answer:

The answer is $\frac{1}{256}$

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

8 of 9 people identified correctly or
9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

$0.5^9$ = $\frac{1}{512}$

So we have $2*\frac{1}{512}$ = $\frac{1}{256}$

6 0

3 years ago

The temperature today will be at least 10

kakasveta [241]

Answer:

10≤x

Step-by-step explanation:

x is the temputure

7 0

3 years ago