Mass = 10 g

Density = Mass/volume

Volume of a cube = (side length)3

Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.

You may use a calculator for this section.

Measurement1.7 cm



FIRST ANSWER GETS BRAINLIEST

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

let n be the number , then

[tex]\frac{1}{6}[/tex] n + [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex] n

multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions

n + 2 = 4n ( subtract n from both sides )

2 = 3n ( divide both sides by 3 )

[tex]\frac{2}{3}[/tex] = n

Answer:

[tex]{\mathsf {n=\frac{2}{3}}}[/tex]

Step-by-step explanation:

In word problems like this, you have to break down the problem description into math form

This is an equation description so we need a variable to work with. Let's call this variable n

1/6th of this number can be translated to:
[tex]\displaystyle \mathsf {\frac{1}{6}n}[/tex]  

1/6th of this number plus one-third translates to:
[tex]\displaystyle \mathsf {\frac{1}{6}n} + \frac{1}{3}[/tex]

1/6th of this number, plus one-third returns two-thirds of that number
returns is just a fancy way of saying equal to.

So returns two-thirds of that number translates to
= two-thirds of that number

Two-thirds of the number is
[tex]\displaystyle \mathsf {\frac{2}{3}n}[/tex]

So putting all this together we get the equation
[tex]\displaystyle \mathsf {\frac{1}{6}n} + \frac{1}{3} = \frac{2}{3}\mathsf n[/tex]

We have to now solve for the equation.

Bring all the n terms to the left side and the constant(1/3) to the right to solve for n

[tex]\displaystyle \mathsf{ Subtract\:}\frac{1}{3}\mathsf {\:from\:both\:sides}[/tex]
[tex]\mathsf {\frac{1}{6}n+\frac{1}{3}-\frac{1}{3}=\frac{2}{3}n-\frac{1}{3}}[/tex]

Simplify to get
[tex]\mathsf {\frac{1}{6}n=\frac{2}{3}n-\frac{1}{3}}[/tex]

Subtract [tex]\mathsf {\frac{2}{3}}[/tex] from both sides
[tex]\mathsf {\frac{1}{6}n-\frac{2}{3}n=\frac{2}{3}n-\frac{1}{3}-\frac{2}{3}n}[/tex]

Simplify  to get
[tex]\mathsf{\frac{1}{6}n-\frac{2}{3}n= -\frac{1}{3}}[/tex]

The left side term is [tex]\mathsf {\frac{1}{6}n-\frac{2}{3}n}[/tex]
Factor out the common term [tex]n[/tex]:
[tex]\mathsf {n\left(\frac{1}{6}-\frac{2}{3}\right)}[/tex]
[tex]\mathsf {\frac{1}{6}-\frac{2}{3}=-\frac{1}{2} }[/tex]

So we get our equation as
[tex]\mathsf {-\frac{1}{2}n=-\frac{1}{3}}[/tex]

Multiply both sides by -2 to get

[tex]\boxed {\mathsf {n=\frac{2}{3}}}[/tex]

Answer: 97

Step-by-step explanation:

Answer:

97 natural numbers

Step-by-step explanation:

[tex]49^2-48^2\\2401-2304=97[/tex]

Answer:

C, Perimeter is 40

Step-by-step explanation:

To find perimeter add up all the sides, to find area, multiply the sides.

Answer:

c

Step-by-step explanation:

you substract both numbers to get 29. Difference in math problems means to subtract!

The correct option is C. 3.52/(22 - n) = 24/100.

The equation which can be used to find n, the number of gallons of water he should remove is 3.52/(22 - n) = 24/100.

Mathematical symbols can represent numbers (constants), variables, functions, operations, brackets, punctuation, and grouping, as well as the order of operations and other features of logical syntax.

Now, as per the given question.

22 gallons of water is evaporated from the grant plans which is 16% ammonia solution to make a 24% ammonia solution.

First, we determine how much ammonia is in 22 gallons of 16% ammonia solution.

16%  x 22 gal  =  3.52 gal

That after water evaporates, the quantity of ammonia remains constant, however the total quantity of solution is diminished by the quantity of water that evaporates.

Amount of ammonia: 3.52 gal

Amount of water that sustained: 22 - n

Requires concentration of ammonia is  24% = 24/100

The measurement will be formatted as follows:

(3.52)/(22 - n) = 24/100

Therefore, the equation which is used for the formation of the  number of gallons of water he should remove ammonia is (3.52)/(22 - n) = 24/100.

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The complete question is -

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. which equation can he use to find n, the number of gallons of water he should remove?

The options are-

A. 3.52(22 - n) = 0.24

B. (22 - n)/3.52 = 24/100

C. 3.52/(22 - n) = 24/100

D. 3.52 + (22 - n)  = 0.24

are u sure it's - 24 in the middle one of the sequence. ?

Answer:

The first table

Step-by-step explanation:

Answer:

she can go on 30 rides I think

Answer:

30 rides

Step-by-step explanation:

Ok first you have to subtract 5 because you payed 5$ to get in and then you divide 15$ by 0.50 and that will give you 30. So she can ride 30 rides total!

Answer:

We get value of the value of b = 5

Step-by-step explanation:

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

We have slope m: [tex]m=-\frac{1}{6}[/tex]

We need to find value of b (y-intercept)

Using the point A(-6,6) and slope [tex]m=-\frac{1}{6}[/tex] we can find b.

Using slope-intercept form, putting values of m and x and y we get the value of b:

[tex]y=mx+b\\6=-\frac{1}{6}(-6)+b\\6=1+b\\b=6-1\\b=5[/tex]

So, we get value of the value of b = 5

Answer:

C: 5

Step-by-step explanation:

Edg 2022

Answer:

y=1/2x-5.................

Step-by-step explanation:

hope this is what your looking for

Answer:

B. 0.75

Step-by-step explanation:

this is what I think cuz the graph at 1 is 0.75

Answer:

[tex]3.75\ \text{m}[/tex]

Step-by-step explanation:

A escala da réplica é  [tex]1:80[/tex]. Isso significa que 1 metro da réplica da escala representa 80 metros do edifício real.

Portanto, 1 metro do edifício real representa [tex]\dfrac{1}{80}[/tex] metros da réplica.

Precisamos encontrar a altura da réplica

[tex]420\ \text{m}=420\times\dfrac{1}{80}=5.25\ \text{m}[/tex]

Assim, a réplica da escala terá uma altura 5.25 m.

Está colocado numa sala com 9 m de altura.

A distância entre o topo da réplica e o teto do corredor é [tex]9-5.25=3.75\ \text{m}[/tex].

If f(x) = 2x + 1, then f(3) =9.

A function is a relation between a set of inputs having one output each. In simple words.

We have

[tex]f(x)=2^{x} +1\\f(3)=2^3+1\\f(3)=8+1\\f(3)=9.[/tex]

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Answer:

its D/ 56.25

Step-by-step explanation:

because the other numbers are too small

Answer:

E. 10 feet

F. RS

Step-by-step explanation:

E. Height of actual tree = [tex]\frac{2.5}{1.5}[/tex] × 6 inches

                                       = 10 feet

F. CD is like ST but bigger.

DA is like TQ but bigger.

AB is like QR but bigger.

BC is like RS but bigger.

Their proportion stays the same.

Answer:

BC=SR

Step-by-step explanation:

BC and SR both have the same length in their sides. Therefore SR is the "?".

I didn't fully understand the question, but its alright.

I think the answer would be A because 5% ×100=0.05 , and in the question they have been telling us that it decreased by 5 from the last week so the equation would be g of the last week - 0.05

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x - 1 = 7x - 16

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

Answer:

4x−1=7x−16

Step 1: Subtract 7x from both sides.

4x−1−7x=7x−16−7x

−3x−1=−16

Step 2: Add 1 to both sides.

−3x−1+1=−16+1

−3x=−15

Step 3: Divide both sides by -3.

−3x

−3

=

−15

−3

x=5

Step-by-step explanation:

Answer:

The most common interval is 10 to 14.99 $ with 11 items

Step-by-step explanation:

See attached for details.

$10.00-$14.99 is the most common interval of dinner prices.

To find the most common interval of dinner prices,

Organize the data into the specified intervals and then count the occurrences in each interval.

Here are the intervals:

1. $5.00-$9.99

2. $10.00-$14.99

3. $15.00-$19.99

4. $20.00-$24.99

5. $25 and up

Now, let's categorize the dinner prices from the given list into these intervals:

1. $7.50, $7.98, $6.50, $8.25, $8.75, $9.00, $9.99 (7 prices)

2. $10.00, $12.00, $12.98, $12.99, $11.50, $13.50, $11.25, $13.00, $12.50 (9 prices)

3. $14.00, $14.75, $15.00, $17.49, $16.00, $17.99 (6 prices)

4. $21.00, $20.00, $22.00 (3 prices)

5. $26.00, $28.50, $25 and up (3 prices)

Now, let's see which interval has the highest number of prices.

It appears that the second interval, $10.00-$14.99, has the most prices (9 prices), making it the most common interval of dinner prices.

Hence, $10.00-$14.99 is the most common interval of dinner prices.

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Answer:

a) The equation of line perpendicular to above line and passes through point (-7,-4) is [tex]\mathbf{y=\frac{7}{2}x+\frac{41}{2}}[/tex]

b) The equation of line parallel to above line and passes through point (-7,-4) is [tex]\mathbf{y=-\frac{2}{7}x-6}[/tex]

Step-by-step explanation:

We are given the line: [tex]y=-\frac{2}{7}x-7[/tex]

The slope of the above equation is: [tex]m=-\frac{2}{7}[/tex] (By comparing with general form [tex]y=mx+b[/tex] where m is slope)

a) Find equation of line perpendicular to above line and passes through point (-7,-4)

If two lines are perpendicular there slopes are opposite reciprocal i.e [tex]m_1=-\frac{1}{m_2}[/tex]

The slope of new line will be: [tex]m = \frac{7}{2}[/tex]

Now finding y-intercept using slope and point (-7,-4)

[tex]y=mx+b\\-4=\frac{7}{2}(-7)+b \\-4=\frac{-49}{2}+b \\b=-4+\frac{49}{2}\\b=\frac{-8+49}{2}\\b=\frac{41}{2}[/tex]

So, the equation of line perpendicular to above line and passes through point (-7,-4) will be:

[tex]y=mx+b\\y=\frac{7}{2}x+\frac{41}{2}[/tex]

So, the equation of line perpendicular to above line and passes through point (-7,-4) is [tex]\mathbf{y=\frac{7}{2}x+\frac{41}{2}}[/tex]

b) Find equation of line parallel to above line and passes through point (-7,-4)

If two lines are parallel there slopes are same i.e [tex]m_1=m_2[/tex]

The slope of new line will be: [tex]m = -\frac{2}{7}[/tex]

Now finding y-intercept using slope and point (-7,-4)

[tex]y=mx+b\\-4=-\frac{2}{7}(-7)+b \\-4=-2(-1)+b\\-4=+2+b \\b=-4-2\\b=-6[/tex]

So, the equation of line parallel to above line and passes through point (-7,-4) will be:

[tex]y=mx+b\\y=-\frac{2}{7}x-6[/tex]

So, the equation of line parallel to above line and passes through point (-7,-4) is [tex]\mathbf{y=-\frac{2}{7}x-6}[/tex]

Answer:

i got 0 for the value of x

Step-by-step explanation:

the distance between the points A and B that is AB is equal to 5.39 units.

We are given the points as:

A = ( 2, 3 )

B = ( 0, - 2 )

We need to find the distance AB between the points.

The distance between the points is given by the formula:

Distance = √ ( y₂ - y₁ )² + ( x₂ - x₁ )²

Substituting the values in the formula, we get that:

Distance AB = √ ( - 2 - 3 )² + ( 0 - 2 )²

Distance AB = √ ( - 5 )² + ( - 2 )²

Distance AB = √ 25 + 4

Distance AB = √ 29 units

Distance AB = 5.39 units.

Therefore, we get that, the distance between the points A and B that is AB is equal to 5.39 units.

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Answer:

49 degrees

Step-by-step explanation

Answer:

I think 49 °F

Step-by-step explanation:

42 - (-7) = 49 °F

So the temperature raised 49 degrees since 7pm last night.

I think thats right. :)

Answer:

-4.08333

Step-by-step explanation:

2 1/3 + 1 3/4 = 4912 = 4 112 ≅ 4.0833333. Spelled result in words is forty-nine twelfths (or four and one twelfth)

[ -8, 2 ] [ -6 , 0 ] [ -4 , - 2 ] are probability of the cards into three pairs with the same total .

What is probability?

( -8 ) + 0 + ( - 6) + 2 + ( -4 ) + ( -2 )   =   -20 + 2 = -18

                                                              { addition of negative numbers }

So, each pair  =  -18 / 3  = -6  { division }

so the pairs are = [ -8, 2 ] [ -6 , 0 ] [ -4 , - 2 ]

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Total time taken by Andrew and bob is 2hr.

given, time taken by Andrew to paint the room = 3hrtime taken by bob to paint the room =6hr rate of Andrew as x =1/3.

rate of bob as y=1/6x+y=1/3+1/6=1/2

total time taken by Andrew and bob =1/x + y      

                                                             =1/1/3+1/6

                                                             = 2hr.

therefore total time taken by Andrew and bob is 2 hr.

The formula for time is given as [Time = Distance ÷ Speed]. To calculate the distance, the time formula can be molded as [Distance = Speed × Time].

To get the total decimal hours we use the formula: h = hours + (minutes / 60) + (seconds / 3600). To get the total decimal minutes we use the formula: m = (hours * 60) + minutes + (seconds / 60).

The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.

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Answer:

Rotate Each dot in the proper way each right angle is 90 Degrees

Step-by-step explanation:

Rotate the Coordinates

pretty simple

Step-by-step explanation:

Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)

I.E.:

y = -3x - 12

d=first diver depth

s=second diver depth

d= 30

S= 30-12=18

the equation given and the gauge must be wrong because the equation for the second duvet souls be s=d-12 since the first diver is DEEPER than the second.

Answer:

B. 96%

Step-by-step explanation:

Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and

177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173

then multiply by 100 to get percentage so approximately 96%.