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3 years ago

6

Miranda has 19 pieces of candy. She wants to give an equal number of pieces to her 6 friends. How many pieces of candy will each

person get? Write the answer as a mixed number.

1 answer:

yan [13]3 years ago

3 0

Answer:

3 1/6

Step-by-step explanation:

19/6= 3.1666666666666 also known as 3 1/6

check your work by multiplying 3 1/6 by 6 and get 19

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Please me answer this question

Alex73 [517]

Answer:

x=11, y=13

Step-by-step explanation:

3x-2y=7

3x-2(x+2)=7 . - x + = - -2*+2=-4

3x-2x-4=7

1x-4=7

x=7+4

x=11

y=x+2

y=11+2

y=13

8 0

2 years ago

Read 2 more answers

Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

3 years ago

Solve the system of linear equations by substitution.<br><br> 4x−2y=14<br> y=0.5x−1

ANEK [815]

4x - 2(0.5x-1) =14
4x - 1x +2 = 14
3x + 2 = 14
X= 4
Plug that into second equation to get y

3 0

2 years ago

You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c

goldfiish [28.3K]

Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches

4 0

3 years ago

Write the equation of the line that has a slope of -2 and goes through the point (-3,4).

liubo4ka [24]

<u>SOLUTION:</u>

General Equation: y = mx + b

.

Substitute slope = -2 into the equation:

y = -2x + b

.

Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

.

Substitute b = -2 into the equation:

y = -2x - 2

.

Answer: y = -2x - 2

4 0

3 years ago

Read 2 more answers