what is the difference? 5/3-1/2

A. 4
B. 7
C. 7/6
D. 7/0 = undefined

To triple a mixed number, multiply the whole number part by 3 and triple the numerator of the fraction part. For 3 1/2, the result is 9 3/2.

To triple the mixed number 3 1/2:

Multiply the whole number by 3: 3 x 3 = 9.

For the fraction part, triple the numerator: 1 x 3 = 3. The denominator remains the same.

Therefore, tripling 3 1/2 gives 9 3/2.

For a p-type silicon in which the dopant concentration N A = 5 × 10^ 18 /cm^3 , find the hole.

For a p-type silicon in which the dopant concentration NA= 5×1018/cm^3, find the hole and electron concentrations

To average 80 km/hr for the entire trip, the truck must go at a speed of 80 km/hr during the second half of the trip.

To find out how fast the truck must go during the second half of the trip to average 80 km/hr for the entire trip, we can use the concept of average speed. Average speed is calculated by dividing the total distance traveled by the total time taken.

Let's assume the entire trip is made up of two equal halves. In the first half, the truck travels at a speed of 70 km/hr. So, if we consider the distance traveled in the first half to be 'd', the distance traveled in the second half will also be 'd'.

Therefore, the total distance traveled for the entire trip is 2d. Now, to average 80 km/hr for the entire trip, we can use the formula:Average speed = Total distance / Total time

80 km/hr = 2d / Total time

Since the time taken for the first half is the same as the time taken for the second half, we can represent the total time as '2t', where 't' is the time taken for each half.

Substituting the values, we have:80 km/hr = 2d / (2t)

Cancelling out the common factors, we get:80 = d / t

Since the distance traveled in the first half is 'd' and the time taken for the first half is 't', the speed during the second half must be '80' km/hr to average 80 km/hr for the entire trip.

The converse of the conditional statement "If you are 14 years old then you are a teenager" is true. If someone is a teenager, it implies that they are at least 14 years old.

The converse of the conditional statement "If you are 14 years old then you are a teenager" is:

If you are a teenager then you are 14 years old.

The converse statement is true because if someone is a teenager, it implies that they are at least 14 years old. However, it does not guarantee that someone who is 14 years old is necessarily a teenager, as there are other age groups within the teenage years.

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Answer: [tex]y=500(1.05)^x[/tex]

Step-by-step explanation:

We know that the general exponential equation to find the value after x years is written as :-

[tex]y=Ab^x[/tex], where A is the initial value and b is the multiplicative rate of change and x is the time period.

Given : The initial amount of a product = $500

After 2 years, the item is worth $551.25.

Substitute A = 500, x=2 and y= 551.25 in the above equation we get

[tex]551.25=500b^2\\\\\Rightarrow\ b^2=\dfrac{551.25}{500}\\\\\Rightarrow\ b^2=1.1025\\\\\Rightarrow\ b=\sqrt{1.1025}=1.05[/tex]

Now, substitute b= 1.05, A = 500 in the general exponential equation, we get the equation represents y, the value of the item after x years as :-

[tex]y=500(1.05)^x[/tex]

The inequality 834 + 14s > 978 - 10s can represent a situation involving saving and spending money over time. To solve it, you perform a series of operations to isolate variable 's', which in this case results in s > 6, indicating more than six weeks required for savings to exceed spending.

A real world situation that can be modelled by this inequality 834 + 14s > 978 - 10s could be a scenario involving saving and spending money. Say you start with $834 and each week you save $14 (s represents the number of weeks). On the other hand, you have $978 and you spend $10 each week. You want to figure out how many weeks it will take for the amount you have from saving to be more than the amount left from spending.

Now, to solve the inequality: subtract 834 from both sides which gives 14s > 144 - 10s, then combine like terms to get 24s > 144. Finally, divide both sides by 24 to solve for s: s > 6. Therefore, it will take more than six weeks for the money you save to exceed what remains from your starting amount of $978 after spending $10 each week.

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Answer:

y = 11

Step-by-step explanation:

~Solve~

Let's solve your equation step-by-step.

2y+7=3y−4

Step 1: Subtract 3y from both sides.

2y+7−3y=3y−4−3y

−y+7=−4

Step 2: Subtract 7 from both sides.

−y+7−7=−4−7

−y=−11

Step 3: Divide both sides by -1.

−y

−1

=

−11

−1

y=11

Answer:

y=11

Answer:

The diver's new depth is -42 ft.                                      

Step-by-step explanation:

Given : A scuba diver at a depth of -12 ft (12 ft below sea level), dives down to a coral reef that is 3.5 times the diver's original depth.

To find : What is the diver's new depth?

Solution :

A scuba diver at a depth of -12 ft.

Dives down to a coral reef that is 3.5 times the diver's original depth.

So, We have to multiply the original depth by 3.5.

i.e. [tex]d=-12\times 3.5[/tex]

[tex]d=-42[/tex]

Therefore, the diver's new depth is -42 ft.

Answer:

The value of x is 11.

Step-by-step explanation:

The given number is 0.27272727..., and it is converted to the fraction as

[tex]0.272727...=\frac{3}{x}[/tex]                 ..... (1)

Multiply both sides by 100.

[tex]0.272727...\times 100=\frac{3}{x}\times 100[/tex]

[tex]27.272727=\frac{300}{x}[/tex]            .... (2)

Subtract equation (1) from equation (2),

[tex]27.272727-0.272727...=\frac{300}{x}-\frac{3}{x}[/tex]

[tex]27=\frac{300-3}{x}[/tex]

Multiply both sides by x.

[tex]27x=297[/tex]

Divide both sides by 27.

[tex]x=\frac{297}{27}[/tex]

[tex]x=11[/tex]

Therefore the value of x is 11.

The value of the variable "x" in the fraction 0.27... = 3/x is x = 11.

To find the value of "x" in the fraction 0.27... = 3/x, we use algebraic techniques to solve for x,

Let us represent the repeating decimal 0.27... as a variable, say y,

y = 0.27...

To eliminate the repeating decimal, we multiply both sides of equation by a power of 10. In this case, we multiply by 100 to shift decimal point two places to right,

100y = 27.27...

Now, we subtract original equation from this new equation to eliminate the repeating part:

100y - y = (27.27...) - (0.27...),

Simplifying the equation:

99y = 27

y = 27/99

The fraction 27/99 is simplified further by dividing both the numerator and the denominator by their greatest common divisor, which is 9,

y = 3/11

Therefore, the required value of "x" is 11.

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rolling a 5 is a 1/6 probability

 tossing tails is a 1/2 probability

 doing both is a 1/6 * 1/2 = 1/12 probability

Slope formula: y2-y1/x2-x1

= -3-1/6-0

= -4/6

= -2/3

Best of Luck!

Answer:

6,7,7,8,9 both have 7 for mode and median

Step-by-step explanation:

Yes this represents additive inverse,

 Since you are subtracting the same number 4 to get to zero.

The additive inverse of a number is simply the negation of the said number.

The given situation is an illustration additive inverse.

Given that:

[tex]Runs \ up = 4\ stairs[/tex]

[tex]Runs \ down = 4\ stairs[/tex]

Let:

[tex]x \to up[/tex]

[tex]y = down[/tex]

When Arianna runs up, we have:

[tex]x = Runs\ up[/tex]

[tex]x = 4[/tex]

When Arianna runs down, we have:

[tex]y = -Runs\ down[/tex] ---- the minus indicates a downward movement

So, we have:

[tex]y = -4[/tex]

The additive inverse of a number n is -n

E.g. The additive inverse of 7 is -7

By comparing x and y, we have:

[tex]y =-x[/tex] and [tex]x = -y[/tex]

Hence, the situation represents additive inverse.

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