look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution

Given parameters:

Diameter of the malt balls  = 0.8in

Dimensions of the prism = 4in x 3in x 7.5in

Unknown:

Number of malt balls that will fit in the carton = ?

Solution:

To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.

Volume of the malt balls  = [tex]\frac{4}{3} \pi r^{3}[/tex]

This is because we assume that the balls have a spherical shape.

    Where r is radius and π is a constant

Radius of the malt balls  = [tex]\frac{0.8}{2}[/tex]   = 0.4in

So, volume  = [tex]\frac{4}{3} x 3.142 x 0.4^{3}[/tex]   = 0.27in³

Volume of the rectangular prism = l x w x h

  where l is the length

            w is the width

            h is the height

So the volume is 4 x 3 x 7.5 = 90in³

The number of malt balls that can be packed here = [tex]\frac{90}{0.27}[/tex]   = 333 malt balls

Answer:

one quart is about 0.95 liters, so its about 2.84 liters after dividing because you want to see how many times that 3 quarts can go into liters

Step-by-step explanation:

mr clean

Answer:

The cooler holds 2.85 liters.

Step-by-step explanation:

Convertion: 1 quart = 0.95 liters

3 × 0.95

= 2.85 Liters

Answer:

x < 6

Step-by-step explanation:

[tex]x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]

[tex]x+2-2 < 8-2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x < 6[/tex]

~Learn with Lenvy~

Answer:

z < 6

Step-by-step explanation:

this is the correct answer

Answer:

Power Set = {{1,9,11,14},{1,11,14},{1,9,11},{1,9,14},{9,11,14},{1,11},{1,14},{1,9},{11,14},{9,11},{9,14},{1},{11},{14},{9},{}}

Step-by-step explanation:

The power set of a set S is the set of all subsets of S. The first subset will be set S itself. Next, find all subsets that contain one less element (in this case 3 elements). Continue with this process until finding all subsets including the empty set.

Divide by 2 to find the unit rate and multiply by 7 to find the cost of 7 units.

20.5/2 = 10.25.

10.25 times 7 = 71.75

It will cost $71.75 to buy 7 tickets.

a dies not add/subtract correctly and b and c do

[tex] \dfrac{ \dfrac{ - 4}{9} }{ \dfrac{ - 1}{3} } = \dfrac{ 4}{9} \times \dfrac{3}{1 } [/tex]

[tex] = \dfrac{4}{3} [/tex]

Answer:

1  1/3

Step-by-step explanation:

Flip -1/3 to be -3/1

Multiply -4/9 to -3/1

-4/9 x -3/1 = 12/9

(The two negatives equal a positive)

Simplify.

4/3

Simplify some more.

1  3/9

Simplify even more.

1  1/3

Hope I helped :)

Please consider Brainliest :)

Answer:

Brainliest would be appreciated. This image has horizontal symmetry.

Step-by-step explanation:

If you put a horizontal line on the image, both sides will be symmetrical.

Answer:

Identity, reflection, inversion, proper rotation, and improper rotation

Answer:

Its answer B!

Step-by-step explanation:

Step-by-step explanation:

4(2x-3):reason - Distributive property

8x-12=:reason - addition property of equality

8x=40: reason - division property of equality

x=5: reason - given

hope this answer helps u.

please mark it as the brainliest

Answer:

[tex]m = \frac{4}{3} = 1.3334[/tex]

Step-by-step explanation:

To find the slope of a line, all you have to do is determine 2 points that pass through this line;

for example, in this case,

(-4,-2) (4,4)

Use the equation;

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 4)}{4 - ( - 2)} = \frac{4 + 4}{4 + 2} [/tex]

[tex]m = \frac{8}{6} = \frac{4}{3} [/tex]

This line passes through the point (1,0) and that is your y-intercept.

[tex]y = \frac{4}{3} x + 1[/tex]

The requried slope of the given line is m = 3/4.

The slope of the line is defined as the ratio of the rise and run of the straight line on the curve is given as;

m = (y₂ - y₁) / (x₂ - x₁)

Here,
From the graph, we have (-4, -2) and (4, 4).

The slope of the line is given as:

m = (y₂ - y₁) / (x₂ - x₁)

m = (4+2)/(4+4)
m = 6/8
m = 3/4

Thus, the requried slope of the given line is m = 3/4.

Learn more about slopes here:
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Answer:

=2x-4

Step-by-step explanation:

Answer:

The fully simplified form is2x-4

Step-by-step explanation:

Use Distributive property

5(x-2)=5x-10

3(2-x)=6-3x

5x-10+6-3x

Combine like terms

2x-4

Answer:

1, 4, 5, 8 equals to 135 ( you can get these answers by simply calculating: 180 - 45 = 135 ( which are angles in a straight line[8 & 5].) 4 = 135 (corresponding angle to 8) and you get 1 = 135 ( opposite angle of 4)

2, 3, 6 equals to 45 ( you can get these answers from observing. 6 is opposite 45 therefore it is = 45°. 2 = 45( corresponding angle). 3 = 45 (opposite angles of 2 and is also alternate to 6)

Answer:

D) Graph Z

Step-by-step explanation:

Convert from point-slope to slope-intercept form

[tex]y-6=4(x-4)\\\\y-6=4x-16\\\\y=4x-10[/tex]

This tells us that the line intersects the y-axis at (0,-10) and that our slope is 4. Therefore, the best choice given the options is D, graph Z.

The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y - 6 = 4(x - 4)

Convert the equation into slope-intercept form. Then we have

y - 6 = 4(x - 4)

y - 6 = 4x - 16

y = 4x - 16 + 6

y = 4x - 10

The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.

More about the linear equation link is given below.

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Answer:

7^9

Step-by-step explanation:

when dividing you take away powers.

Answer:

7 to the power of 9

Step-by-step explanation:

7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9

Answer:$3250

Step-by-step explanation:

Hi!

Your answer is "Multiplicative Inverse Property".

We can see that it's multiplying both sides by [tex]\cfrac{5}{4}[/tex] to get [tex]x[/tex] by itself.

This is known as the "multiplicative inverse" because the numerator and the denominator are swapped.

When a number is multiplied by its multiplicative inverse, it equals 1.

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For another example, see:

https://brainly.com/question/13715269

Answer:

Step-by-step explanation:

to get the area of the given figure,

we need to split it in to two (see attached)

then area of a rectangle = length x width

A1 = 15 cm x 4 cm = 60 cm²

A2 = 5 cm x 4 cm = 20 cm²

Area = A1 + A2

        = 60 + 20

        = 80 cm²

Area in this figure will be 80cm².

The area of the rectangle can be calculated by the product of length and breadth of the rectangle.

A=l*b

where l is length and b is the breadth.

So according to asked question in the drawn figure,

connect the point B and G.

now this figure will give two rectangle i.e. ABGH and CDEF

Rectangle ABGH has length l=5cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²

Now CF=CB+BG+GF=5+5+5=15

Rectangle CDEF has length l=CF=15cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²

Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF

=20cm²+60cm²

=80cm²

Therefore area in this figure will be 80cm².

Learn more about area of the rectangle

here: https://brainly.com/question/2607596

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Answer:

48

Step-by-step explanation:

3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48

After Assuming a tax percentage of 3.5%, the tax amount gotten is $0.7

and the  total cost of a double room, including tax is $20.7

Given Data

Amount of Tax paid = 3.5/100 * 20

= 0.035* 20

= $0.7

The total cost of a double room, including tax

= Cost of double + Amount of Tax

= 20+0.7

= $20.7

Learn more about Tax Calculation here:

https://brainly.com/question/25783927

[tex] \frac{6}{3} = \frac{y}{9} [/tex]

[tex]3y = 6 \times 9[/tex]

[tex]3y = 54[/tex]

[tex]y = \frac{54}{3} = 18[/tex]

Answer:

- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10

i hope this work for you

and sory if im wrang

Answer:

minute hand:

in 60 minutes, the minute hand travels 360 degrees

60mins : 360°

1    : 6

so in 1 minute, the minute hand travels 6°

hour hand:

in 12hours the hour hand moves 360 degrees

in one hour, it moves 30 degrees

60min  : 30°

6mins   : 3°

1min     : 3/6 = 0.5°

so in 1 minute, the hour hand travels 0.5°

hope this helps

brainliest please?

x

Answer:

Step-by-step explanation:

The minute hand rotates full scale = 360° in 1 hour = 60 minutes

In one minute it travels:

The hour hand rotates full scale = 360° in 12 hours = 12*60 minutes

In one minute it travels:

Step-by-step explanation:

if you are making double the number of batches, then yout would want to double the # of cups of beans to keep the same recipe.

Since you are doubling the ingredients, all the measurements would change. So yes, the amount of beans that occured most often would change by twice

Answer:297

Step-by-step explanation:

Answer:

3484 [tex]ft^{2}[/tex]

Step-by-step explanation:

a = bh

a = 67 x 52

a = 3484

Answer:

=> B.) 3,484 ft2

Step-by-step explanation:

=> The area of parallogram = base × height square units..

=> 67ft × 52ft

=> 3,484 ft²

Answer:

y=-1/2x-1

Step-by-step explanation:

4-0     =      4     =         1

-6-2    =     -8     =       -2

4=-6(-1/2)

4=    3

-4    -4

b= -1

y=mx+b

y=-1/2x-1

Answer: 10

Step-by-step explanation:

9 1/6 x 1 1/11

55/6 x 12/11

cross reduce

5/1 x 2/1

10

Answer:

180

Step-by-step explanation:

m(< 1) + m (< 2) + m (< 3) = 180

because sum of angles on same straight line = 180