3 and one half times two eleventh’s divided by two and one third times eleven equals...

Answer:

2.7 [tex]g/mL[/tex]

Step-by-step explanation:

The density of an object will be its mass over volume.

We know that the mass of this rock is 54 grams because it took 54 grams of gram stackers to balance the scale. If we have a balanced scale, that means the amount of weight on either side is equal. So the mass is 54 grams.

Also, we can tell that the volume of the rock is 20 mL. This is because, according to Archimedes principle, if you put an object in water, the amount of water displacement will be it's volume. So the amount of water displacement is [tex]60-40=20[/tex] mL.

Density is mass over volume, so the density is [tex]54\div20 = 2.7[/tex]. Density is measure in mass over volume, so [tex]g/mL[/tex].

So 2.7  [tex]g/mL[/tex] is the density of the rock.

Hope this helped!

Answer:

x = -12

Step-by-step explanation:

Let x be the number.

The product of 5 and x increased by 9 is equal to 15 less than 3 times x.

5x + 9 = 3x - 15.

We can isolate x, getting (5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

The required number is -12.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.

Let x be the number.

Establishing the equation,

5x + 9 = 3x - 15.

(5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

Hence, the number is -12

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Answer:

[tex]x=-\frac{17}{28}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]

[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]

[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]

[tex]x = -\frac{17}{28}[/tex]

plug [tex]x[/tex] in the equation to make sure of your answer:

[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]

Answer:

[tex] t - 9 [/tex]

Step-by-step explanation:

Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:

[tex] t - 9 [/tex].

The difference of t and 9 = [tex] t - 9 [/tex].

Answer: 4th figure , where XY is a line.

Step-by-step explanation:

From up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."

The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."

The third figure is a joint of two rays and they are making an angle which is again an defined term.

The last figure is representing a line which has no endpoints and is an undefined term.

Hence, the last figure is representing an undefined term "line".

Answer:

A. 2.27 kg

B. 61.23 kg

Step-by-step explanation:

A. 31.75 - 29.48 = 2.27

B. 31.75 + 29.48  = 61.23

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

[tex]7y-15=-29[/tex]

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

[tex]7y-15+15=-29+15\\\Rightarrow 7y=-14[/tex]

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

[tex]a\times \frac{1}{a} = 1[/tex]

So, let us multiply the given equation with [tex]\frac{1}7[/tex]

[tex]7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2[/tex]

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

Answer:

2

Step-by-step explanation:

f=1

=4-2f

=4-2(1)

=4-2

=2

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

[tex]4-2f\\\\f =1\\4-2(1)\\=4-2\\= 2[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}[/tex]

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

Finding the Interest

The sum of principal and interest is called an amount.

From the definition,

[tex] \boxed{ \sf{Amount = \: Principal + Interest}}[/tex]

plug the values

⇒[tex] \sf{14550 = 6000 + Interest}[/tex]

Swap the sides of the equation

⇒[tex] \sf{6000 + Interest = 14550}[/tex]

Move 6000 to right hand side and change its sign

⇒[tex] \sf{Interest = 14550 - 6000}[/tex]

Subtract 6000 from 14550

⇒[tex] \sf{Interest = \: 8550 \: }[/tex]

Interest = $ 8550

Finding the rate

[tex] { \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}} [/tex]

plug the values

⇒[tex] \sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }[/tex]

Calculate

⇒[tex] \sf{Rate = \frac{855000}{60000} }[/tex]

⇒[tex] \sf{Rate = 14.25 \: \% \: }[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is A, 19/49

Step-by-step explanation:

normally you would do the equation as usual, but if you notice the words (without replacing the first) then that means there will be 24 marbles left.

that means it can't be B C or D because 24 can't be simplified into the denominators 5, 20, or 15

Answer:

1. square root 9/4

2. 5/3

3. square root 5

4. 2.5

Step-by-step explanation:

The first one would equal 1.5.

The second is 1.6.

The third is 2.2.

And obviously the last is 2.5.

Permutation

Step-by-step explanation:

Learn more: permutation

Answer:

72 words per minute

Step-by-step explanation:

The unit rate in this case is words per minute. Therefore, the answer is 1872 / 26 = 72 words per minute.

Answer:

it IS b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, let's note n this integer.

n+ (n+1) + (n+2) = 168

3n+3=168

3(n+1)=168

n+1=168/3=56

n = 56-1=55

Thanks

Answer:

The volume of the rectangular prism is 20.

50

(-1) + 2 + (-3) + 4 + ... + (-99) + 100 =

= 2 - 1 + 4 - 3 + .. + 100 - 99

= 1 + 1 + .. + 1

= 50×1

= 50

Answer:

50.

Step-by-step explanation:

Each pair of numbers add up to 1:

-1 + 2 =  1,  -3 + 4 = 1   and so on

There are 50 of theses pairs so the value is 50.

Answer:

[tex]\huge \boxed{h= \displaystyle \frac{SA}{2\pi r} -r}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]SA=2\pi r^2 +2\pi rh[/tex]

Subtracting [tex]2\pi r^2[/tex] from both sides:

[tex]SA-2\pi r^2 =2\pi rh[/tex]

Dividing both sides by [tex]2\pi r[/tex]:

[tex]\displaystyle \frac{SA-2\pi r^2}{2\pi r} =h[/tex]

Simplifying the equation:

[tex]\displaystyle \frac{SA}{2\pi r} -r=h[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

angle congruent to a given angle.

Step-by-step explanation:

This is the construction of an angle congruent to a given angle.

Answer:

4 x 3 + 6 x 2 has 4 terms so it's an quadrinomial

Step-by-step explanation:

D quadrinomial

Answer:

8/15

Step-by-step explanation:

1 hour = 60 minutes

32 minutes / 60 minutes

Divide top and bottom by 4

8/15

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = [tex]\pi[/tex]r²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

Answer:

The answer is 3.

19+17=36.

36/12=3.

Answer:

j = 2z + 1

jennifer is one year older or jennifer is plus one.

twice zacks age or two times zacks age.

jennifer's age is two times zacks age plus one or

j = 2z + 1

Answer:

The answer is:

The Moon, on average, is about 150 million kilometers away from the Sun.

The speed of the object in feet per minute to nearest whole number is 164feet/min

Speed is the ratio of the distance to the time of an object. Mathematically;

Speed = Distance/Time

Given the following

Speed = 3km/hr

Using the conversion ratio

1km = 3280.84feet

3km = x

Cross multiply

x = 3 * 3280.84

x = 9,842.52feet

Convert 1 hour to minute

1 hour = 60minutes

Get the speed in feet per minutes

Speed in feet/minutes = [tex]\frac{9,842.52}{60}[/tex]

Speed in feet/minutes = 164.042 feet/minutes

Hence the speed of the object in feet per minute to nearest whole number  is 164feet/min

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The speed in feet per  minute is 164.

Given the following data:

In this exercise, you're required to convert the value of the speed given in kilometers per hour to feet per minute.

Conversion:

1 kilometer = 3280.84 feet

3 kilometer = X feet

Cross-multiplying, we have;

X [tex]= 3280.84[/tex] × [tex]3[/tex]

X = 9842.50 feet

Since we know that one (1) hour is equal to sixty (60) minutes, we would divide the value of X by 60 in order to convert it to feet per minute.

[tex]X = \frac{9842.50}{60}[/tex]

X = 164.042 feet per minute.

To the nearest whole number;

X = 164 feet per minute

Therefore, the speed in feet per  minute is 164.

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