Which expressions are equivalent to
2 In a + 2 In b - In a?
Check all that apply.

Answer:

Erwin have 1 [tex]\frac{1}{2}[/tex]   gallons of lemonade left

Step-by-step explanation:

Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form

All we need to do is to subtract 11/12 from 2 5/12. But to do this, we will convert 2 5/12 to improper fraction

converting 2 5/12 to improper fraction yields : 29/12

Lemonade have left = Total lemonade - lemonade spilled

                         =          29/12 -  11/12

                         =     18/12

Lemonade have left =18/12

But we can reduce 18/12 to its lowest term

18÷6/ 12÷6      =     3/2

       Lemonade have left = 3/2

We can change to 3/2 to a mixed number to give us 1 [tex]\frac{1}{2}[/tex]    

Therefore Erwin have 1 [tex]\frac{1}{2}[/tex]   gallons of lemonade left

Answer:

(3/2) or (1 1/2) gallons of lemonade

Step-by-step explanation:

Erwin had 2 5/12 gallons of lemonade at his disposal which also translate to 29/12 gallons.

If he spills 11/12 gallon of the lemonade,then the quantity left with him will be (29/12) - (11/12) = 18/12(change to proper fraction): 3/2 or 1 1/2 gallons of lemonade

Answer:

[tex]512\ m^{3}[/tex]

Step-by-step explanation:

Volume of any cube equals a product of all the edge lengths. Since there are 3 edges:

[tex]V = a^{3} = 8^{3} = 512\ m^{3}[/tex]

The required area of the cube with an edge length of 8 meters is 512 cubic meters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
A cube has an edge length of 8 meters.
The volume of the cube = a³
The volume of the cube = 8³ = 512 cubic meters

Thus, the required area of the cube with an edge length of 8 meters is 512 cubic meters.

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Answer:

Slope = 2

y-intercept = 1

x-intercept = -0.5

Standard Form ⇒ y - 2x = 1

Step-by-step explanation:

write the equation of the line through (-2 , -3) and (0,1)

The general form of the line is  y = mx + c

Where m is the slope and c is the y-intercept

The slope m = (y₂ - y₁)/(x₂ - x₁) = (1 - [-3])/(0 - [-2]) = 4/2 = 2

∴ y = 2x + c

By substitution with the point (0,1) to find c

1 = 2 *0 + c

c = 1

∴ y = 2x + 1

Or   y - 2x = 1 ⇒Standard Form

Also,

See the attached figure which represents the graph of the line y - 2x = 1

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

[tex](x_ {1}, y_ {1}): (0,1)\\(x_ {2}, y_ {2}): (-2, -3)[/tex]

We find the slope:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-3-1} {- 2-0} = \frac {-4} {- 2} = 2[/tex]

Thus, the equation is of the form:

[tex]y = 2x + b[/tex]

We substitute a point and find b:

[tex]1 = 2 (0) + b\\b = 1[/tex]

Finally, we have:

[tex]y = 2x + 1[/tex]

On the other hand, the equation in the standard form is given by:

[tex]ax + by = c[/tex]

So, according to the slope-intersection equation we have:

[tex]2x-y = -1[/tex]

Answer:

[tex]y=2x+1\\2x-y=-1[/tex]

Answer:

90 degrees pi/2 radians

I think so but i dont know

Step-by-step explanation:

Answer:

D.2.4

Step-by-step explanation:

Because it's a fraction and can be written in fraction as 240/100

Answer:

answer is C

Step-by-step explanation:

4/2 : rational

4/2 = 2 : integer

and When you simplify 4/2 you get 2, 2 is an integer.

Question:

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

Answer:

The constant of proportionality is 250

Solution:

Given that,

y varies inversely with the square of r

Which means,

[tex]y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}[/tex]

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

[tex]10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250[/tex]

Thus the constant of proportionality is 250

Answer:

They each used 60 dollars in total

Step-by-step explanation:

They each brought 12 dollars and if you multiply it by 5 that's how much they spent in total

Answer:

(4,3), y-coordinate is 3

Step-by-step explanation:

If we're translating down, that means we are subtracting however many units we go down by the y-coordinate.

So 5-2=3, and the new y-coordinate is 3

Answer is (4,3)

Step-by-step explanation:

So you need to this...

(x), (y-2)

Now you need to leave the x because It won't do nothing but the y yes because it said bring 2 units down so its (y-2) because its going negative. Now subtract the number you have given.

Now replace y with 5 and subtract 2.

Now you will be given the answer (4,3)

Hope this helps you :)

Amount of ice-cream in the cone = 6.3 in³

Solution:

Given data:

Diameter of the cone = 2 in

Radius of the cone = 2 ÷ 2 = 1 in

Height of the cone = 6 in

The value of π = 3.14

Volume of the cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

                                 [tex]$=\frac{1}{3}\times 3.14\times 1^2\times 6[/tex]

                                 = 6.3

Volume of the cone = 6.3 in³

Amount of ice-cream in the cone = 6.3 in³

Answer:

6.3 in ^3

Step-by-step explanation:

Trust me ;)

Answer:

6

Step-by-step explanation:

Answer:

Answer is (2,6) B.

Step-by-step explanation:

The number of students in the class is [tex]s=14[/tex]

Explanation:

It is given that there are 6 girls in a music class.

This represents [tex]\frac{3}{7}[/tex] of the entire class.

To determine the number of students in the class, we need to solve the equation [tex]\frac{3}{7}s=6[/tex]

Let us solve the expression for s.

Multiplying both sides of the equation by [tex]\frac{7}{3}[/tex], we have,

[tex](\frac{7}{3} )\frac{3}{7}s=6(\frac{7}{3} )[/tex]

Simplifying the expression, we have,

[tex]s=\frac{42}{3}[/tex]

Dividing by 3, we have,

[tex]s=14[/tex]

Thus, the number of students in the class are 14.

Answer:

x= -2

Step-by-step explanation:

Please see attached picture for full solution.

Answer: 5.43

Step-by-step explanation:

To find the Mean, sum the values and divide by the number of values

=9.6 + 2 + 4.1 + 8 + 5.9 +2 + 3.7 + 6 + 7.6/9

= 48.9/9

=5.43

I hope this helps.

Answer:

d

Step-by-step explanation:

Answer:

D. Positive association

Step-by-step explanation:

The line of best fit would have a positive slope

A simulation is a mathematical model used to represent a situation.

When we combine two or more simple events we have a compound event

A Tree Diagram is a diagram that shows all the possible outcomes of an event

All the possible outcomes or results is called the sample space

When an event is not affected by a previous outcome we have an independent event

Let me know if you need any clarifications, thanks!

~ Padoru

Answer:

12 1/7 cars

Step-by-step explanation:

Let the number of cars she'd wash to earn $63 in spending money be A.

Given she saves $22 of her weekly earnings and wants to have at least $63 for spending money.

That means she’d have to make $63 + $22 = $85

The expression is thus

$85 = A x $7

Where A is the number of cars and $7 is the amount she earns for washing one car and $85 is the total amount she has to make .

Therefore,

85 = A x 7

Divide both sides by 7

85/7 = A x 7/7

12 1/7 = A

A = 12 1/7 cars

She must wash 12 1/7 cars to have at least $63 spending money and also have her weekly Savings of $22

Answer:

1. For the median (as per the question posted): the median of Justin's earnings is more than the median of TJ's earnings

Difference = $3

2. For the mean (as per the requirement in the image): the mean of TJ's earnings is more than the mean of Justin's earnings

Difference = $4

Explanation:

The complete question is shown in the attached image

1. The median:

a. For Justin:

He earned the following: $32, $45, $50, $33 and $50

Arranging the data: $32, $33, $45, $50 and $50

The middle value is: $45

The median is: $45

b. For TJ:

He earned the following: $58, $48, $40, $42 and $42

Arranging the data: $40, $42, $42, $48 and $58

The middle value is: $42

The median is: $42

c. Comparing the medians:

From the above, we can conclude that the median of Justin's earnings is more than the median of TJ's earnings

Difference = $45 - $42 = $3

2. The mean:

a. For Justin:

He earned the following: $32, $45, $50, $33 and $50

Summing the data: $32 + $33 + $45 + $50 + $50 = 210

Number of values in the data= 5

The mean is: [tex]\frac{210}{5}=42[/tex]

b. For TJ:

He earned the following: $58, $48, $40, $42 and $42

Summing the data: $40 + $42 + $42 + $48 + $58 = $230

Number of values in the data: 5

The mean is: [tex]\frac{230}{5} = 46[/tex]

c. Comparing the values:

From the above, we can conclude that the mean of TJ's earnings is more than the mean of Justin's earnings

Difference = 46 - 42 = $4

Hope this helps :)

Answer:

4/12 or 2/6 or 1/3

Step-by-step explanation:

The solutions to the equations are: a) x = 0, b) No real solutions, c) x = 7, -7.

In order to find the solutions to each equation, we can use a graph of the related function. Let's go through each equation:

a. x² + 4 = 4

Subtracting 4 from both sides of the equation, we get x² = 0. This means x = 0 is the only solution.

b. x² + 16 = 0

Subtracting 16 from both sides gives us x² = -16. Since the square of a real number cannot be negative, there are no real solutions to this equation.

c. x² - 49 = 0

Adding 49 to both sides yields x² = 49. Taking the square root of both sides gives x = ±7. So the solutions to this equation are x = 7 and x = -7.

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Answer:

     [tex]25\leq 27[/tex]

Explanation:

1. Starting inequality:

      [tex]-125\geq -135[/tex]

2. Divide both sides by [tex]-5[/tex]

3. Rule

When you divide an inequality by a negative number, the inequality symbol has to be changed:

4. Solution

Thus, when dividing by -5 change the inequality symbol ≤ to ≤

      [tex]\dfrac{-125}{-5}\leq \dfrac{-135}{-5}\\\\\\25\leq 27[/tex]

Answer:

Question 1:  4/5 or %80

Question 2:  7/10 or %70

Step-by-step explanation:

Step 1:  Find the total amount of marbles

5 + 2 + 3

10

Step 2:  Find the probability of not drawing a black marble

Add the total amount of marbles that are not black

5 + 3

8

Now find the probability:  

8/10

4/5 or %80

Answer:  4/5 or %80

Step 3:  Find the probability of not drawing a red marble

Add the total amount of marbles that are not red

5 + 2

7

Now find the probability:

7/10 or %70

Answer:  7/10 or %70

Answer: its 4/81

Step-by-step explanation:

i just did it

A. The perimeter of quadrilaterals are same when x=2.

B. The area of quadrilaterals are same when x=4.6

Step-by-step explanation:

A. Perimeter of the quadrilaterals must be equal.

Perimeter of square = Perimeter of rectangle

4(6) = 2(2+3x+4)

⇒ 24 = 2(3x+6)

⇒ 24 = 6x + 12

⇒ 6x = 12

⇒ x = 12/6

x = 2

For x=2, the perimeters of both the quadrilaterals are same.

B. Area of the quadrilaterals must be equal.

Area of square = Area of rectangle

(6)² = 2(3x+4)

36 = 6x+8

6x = 28

x = 28/6

x = 4.6

For x=4.6, the area of both the quadrilaterals are same.

Answer:

35.6

Step-by-step explanation:

35 * 3/5

35 * 5/5 + 3/5

175/5 + 3/5

178/5

35.6

Answer:  35.6

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

3x - 9x + 7 - 3 = -8

Combine like terms

-6x +4 = -8

Subtract 4 from each side

-6x +4-4 = -8-4

-6x = -12

Divide each side by -6

-6x/-6 = -12/-6

x = 2

Answer:

That 1st one will be in the negatine seconw one will de positive

Answer:

5.43333 recurring

Step-by-step explanation:

Mean is the average of a set of numbers. That is, the sum of the digits in the set, divided by the number of the digits.

In the question above, we have 9 digits. So we find the sum of the digits divided by 9.

(9.6+2+4.1+8+5.9+2+3.7+6+7.6)/9

48.9/9

5.4333recurring