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emmainna [20.7K]

3 years ago

5

John wants to buy a watermelon that weighs 5.7 pounds.The watermelon is priced at $1.58 per pound.How much is the total cost of

the watermelon

2 answers:

VLD [36.1K]3 years ago

5 0

Divide them both.. by each one

andreev551 [17]3 years ago

5 0

To do this multiply:

5.7 * 1.58
9.006

Rounding to the nearest cent:

$9.00

Hope this helps!

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Drag steps of the solution into order to solve for x in the equation 9(x + 3) = 108.

Marat540 [252]

Answer:

Given expression is,

9(x+3) = 108

In solving the equation the steps are as follows,

Step 1 : 9x + 27 = 108 ( By distributive property )

Step 2 : 9x = 81 ( Subtracting 108 on both sides )

Step 3 : x = 9 ( Divide both sides by 9)

Hence, by the above explanation we can drag the steps of solution in correct order.

3 0

3 years ago

Read 2 more answers

Consider the three points ( 1 , 3 ) , ( 2 , 3 ) and ( 3 , 6 ) . Let ¯ x be the average x-coordinate of these points, and let ¯ y

loris [4]

Answer:

$m=\dfrac{3}{2}$

Step-by-step explanation:

Given points are: ( 1 , 3 ) , ( 2 , 3 ) and ( 3 , 6 )

The average of x-coordinate will be:

$\overline{x} = \dfrac{x_1+x_2+x_3}{\text{number of points}}$

<u>1) Finding $(\overline{x},\overline{y})$ </u>

Average of the x coordinates:

$\overline{x} = \dfrac{1+2+3}{3}$

$\overline{x} = 2$

Average of the y coordinates:

similarly for y

$\overline{y} = \dfrac{3+3+6}{3}$

$\overline{y} = 4$

<u>2) Finding the line through $(\overline{x},\overline{y})$ with slope m.</u>

Given a point and a slope, the equation of a line can be found using:

$(y-y_1)=m(x-x_1)$

in our case this will be

$(y-\overline{y})=m(x-\overline{x})$

$(y-4)=m(x-2)$

$y=mx-2m+4$

this is our equation of the line!

<u>3) Find the squared vertical distances between this line and the three points.</u>

So what we up till now is a line, and three points. We need to find how much further away (only in the y direction) each point is from the line.

Distance from point (1,3)

We know that when x=1, y=3 for the point. But we need to find what does y equal when x=1 for the line?

we'll go back to our equation of the line and use x=1.

$y=m(1)-2m+4$

$y=-m+4$

now we know the two points at x=1: (1,3) and (1,-m+4)

to find the vertical distance we'll subtract the y-coordinates of each point.

$d_1=3-(-m+4)$

$d_1=m-1$

finally, as asked, we'll square the distance

$(d_1)^2=(m-1)^2$

Distance from point (2,3)

we'll do the same as above here:

$y=m(2)-2m+4$

$y=4$

vertical distance between the two points: (2,3) and (2,4)

$d_2=3-4$

$d_2=-1$

squaring:

$(d_2)^2=1$

Distance from point (3,6)

$y=m(3)-2m+4$

$y=m+4$

vertical distance between the two points: (3,6) and (3,m+4)

$d_3=6-(m+4)$

$d_3=2-m$

squaring:

$(d_3)^2=(2-m)^2$

3) Add up all the squared distances, we'll call this value R.

$R=(d_1)^2+(d_2)^2+(d_3)^2$

$R=(m-1)^2+4+(2-m)^2$

<u>4) Find the value of m that makes R minimum.</u>

Looking at the equation above, we can tell that R is a function of m:

$R(m)=(m-1)^2+4+(2-m)^2$

you can simplify this if you want to. What we're most concerned with is to find the minimum value of R at some value of m. To do that we'll need to derivate R with respect to m. (this is similar to finding the stationary point of a curve)

$\dfrac{d}{dm}\left(R(m)\right)=\dfrac{d}{dm}\left((m-1)^2+4+(2-m)^2\right)$

$\dfrac{dR}{dm}=2(m-1)+0+2(2-m)(-1)$

now to find the minimum value we'll just use a condition that $\dfrac{dR}{dm}=0$

$0=2(m-1)+2(2-m)(-1)$

now solve for m:

$0=2m-2-4+2m$

$m=\dfrac{3}{2}$

This is the value of m for which the sum of the squared vertical distances from the points and the line is small as possible!

5 0

3 years ago

A team won 9 of its first 12 games. At that rate, how many games will the team win if it plays 64 games in all?

Feliz [49]

9 out of 12 = 9/12 which can be simplified to 3/4. So the team wins 3/4 of its games. 3/4 of 64 = 64 divided by 4 = 16. 16 x 3 = 48.

3 0

3 years ago

Read 2 more answers

P = nc - e and p is 4520 and n is 3000 and e is 700 what is the value of c

adoni [48]

Answer:

c= 1.74

Step-by-step explanation:

4520 = 3000(c)-700

4520=3000c-700

+700 +700

5220=3000c

c=1.74

to check to see if this is right you would do this:

4520=3000(1.74)-700

4520=5220-700

4520=4520

3 0

3 years ago

A barn silo, excluding the top, is a cylinder. The silo is 7 m in

Elenna [48]

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

The silo is 7 m in diameter
Its height is 12 m

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = $\frac{1}{2}$ × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

7 0

3 years ago