Can someone help me out please??

The representation of 1 / 8 in decimal form will be 0.125 and it is a rational number as it is a terminating decimal.

We are given a fraction:

1 / 8.

We have to represent it as a decimal and tell that it is a rational number.

To write it as a decimal, First we will make the denominator a multiple of 10:

1 / 8 × 125 / 125 = 125 / 1000.

Now writing it in the decimal form, we get that:

= 0.125.

Now, we can see that it is a non repeating terminating number.

So, we can say that it is a rational number.

Therefore, the representation of 1 / 8 in decimal form will be 0.125 and it is a rational number as it is a terminating decimal.

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Answer:

Ashleys age is 28.

Step-by-step explanation:

When finding numbers that are consecutive, I like to divide the sum in this case, 100 by the number of people or things, in this case, the 4 siblings. The sum is 100 and there are 4 of them so we divide them first.

100÷4=25 so our answer must be around there. The question states that the ages must be even. So the even numbers in the range of lets say 20-30 are 20, 22, 24, 26, 28 and 30. Closest four numbers to 25 are 22, 24, 26 and 28. We must have two numbers below 25 and two numbers above 25.  So we will keep 22,24,26 and 28. If you add them together, then you'll get 100! Since we are looking for Ashley's age which is the oldest, her age will be 28 as 28 is the highest number out the four numbers (22,24,26,28)

Good Luck and hope this helped! <33

Answer: 6.83

Step-by-step explanation: 34.18 - 6.86 = 27.32 /4 = 6.83

Answer:

Its answer is -4..............

Answer:

Your answer is -4

Step-by-step explanation:

[tex]5 - (x - 2) { \\ }^{2} [/tex]

where x = -1

Therefore, p(-1) = 5 - ( (-1) - 2 )²

= 5 - (-3)²

= 5 - 9

= -4

Step-by-step explanation:

(e)

because BCDF is a parallelogram, it means that F D = B C = 4.

and F B = D C = 6.

because EDCF is a parallelogram, it means that D C = E F = 6.

that means that E F = F B = 6, so the diagonal E B of ABDE is intersected by the other diagonal A D in the middle at F.

because ABCF is a parallelogram, it means that A F = B C = 4.

that means that A F = F D = 4, so, also the diagonal A D of ABDE is intersected by the other diagonal E B in the middle at F.

when 2 line segments E B and A D intersect each other that way, that makes them the diagonals of a parallelogram.

therefore, ABDE is a parallelogram.

Answer: $252

Step-by-step explanation:

21$ an hour x 12 hours = $252 total :)

Answer:

She earned $252 thsi month.

Step-by-step explanation:

1  hour = $21

12 hours = $?

21*12 = 252

Answer:

-3/7

Step-by-step explanation:

[tex]-3\frac{1}{7} / 7 \frac{2}{6}[/tex]

[tex]-3 \frac{1}{7} = \frac{-22}{7}[/tex]

[tex]7\frac{2}{6} = 7\frac{1}{3} = \frac{22}{3}[/tex]

[tex]\frac{\frac{-22}{7} }{\frac{22}{3} }[/tex][tex]= \frac{-22}{7} * \frac{3}{22} = \frac{-3}{7}[/tex]

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Answer:

about 3103

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

-28 + 28 = 0

Answer:

principle (p)= $200

interest (I) =$9

Rate (R) = 6%

time (T)= ?

we know,

Time(T) = I×100÷P×R

= 9×100÷ 200×6

= 3÷4 years

Here are the examples that combine to make zero:

Two month ago, the temperature was 15 degrees. This morning, the temperature dropped to 15 degrees below zero.

Michael has $0 in his account. He makes a purchase of $75. Later in the day, he deposits 75 in the account.

An elevator rises to the ninth floor and she then takes the elevator from the ninth floor to the ground floor.

The parking garage is located 4 floors below ground level. But, her office is 4 floors above ground level.

What are the real world examples?

In order for the examples to combine to make zero, there has to be a positive number and a negative number. A positive number is a number that is greater than zero. A negative number is a number that is less than zero.

In order for the positive and negative number to make zero, they have to be added together. Addition is determining the total value or summing two or more numbers. Addition is one of the four basic operations in mathematics.

Two month ago, the temperature was 15 degrees. This morning, the temperature dropped to 15 degrees below zero. -15 + 15 = 0

Michael has $0 in his account. He makes a purchase of $75. Later in the day, he deposits 75 in the account.  - 75 + 75 = 0

An elevator rises to the ninth floor and she then takes the elevator from the ninth floor to the ground floor. + 9 - 9 = 0

The parking garage is located 4 floors below ground level. But, her office is 4 floors above ground level. = -4 + 4 = 0

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Answer:

55%

Step-by-step explanation:

Ans                        

65.25 Step-by-step explanation:

Answer:6 will be greater

Step-by-step explanation:

There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form

[tex]y=a(x+1)^3 (x-2)^2[/tex]

Since the y-intercept is 4,

[tex]4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}[/tex]

Answer:

f(4) = 5

Step-by-step explanation:

locate x = 4 on the x- axis, go vertically up to meet the line at (4, 5 ) , then

f(4) = 5

Answer: $0.33 per cup

Step-by-step explanation:

15.84/3 to find the price per 1 gallon.

15.84/3 = 5.28 per gallon

There are 16 cups in a gallon, so divide the price of a single gallon by 16.

5.28/16 = price per cup

5.28/16 = .33

The price for each cup of bleach is $0.33.

The value of e from the given equation is -1.78

Linear functions are function that has a leading degree of 1

Given the expression below;

0.75(8+e)=2-1.25e

Expand to have;

0.75(8) + 0.75e = 2-1.25e

6 + 0.75e = 2 - 1.5e

6-2 = -1.5e - 0.75e

4 = -2.25e

e = 4/-2.25

e = -1.78

Hence the value of e from the given equation is -1.78

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The height of the ball according to the function h(t) is 16 feet after 1.92 seconds and after 0.46 seconds.

A function is defined as a expression containing one or more variables.

Technically speaking, a function is a means of linking a set of inputs to a set of outputs.

The height of the ball  at any time t is given by the function:

[tex]h(t)=-16t^2+38t+2[/tex]

Now the required height of the ball(in feet) is 16 feet. We have to find the value of t for which h(t)=16.

Let us substitute the values:

[tex]\implies h(t)=-16t^2+38t+2\\\implies 16=-16t^2+38t+2\\\implies 16t^2-38t+14=0\\\implies 8t^2-19t+7=0[/tex]

This is in the form of a quadratic equation in t.

Solving by using the quadratic formula:

We know that for a quadratic equation [tex]ax^2+bx+c=0[/tex]

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Therefore for the above quadratic equation:

[tex]t=\frac{-(-19)\pm \sqrt{(-19)^2-4(8)(7)}}{2(8)}\\t=\frac{19+\sqrt{137}}{8},t=\frac{19-\sqrt{137}}{8}\\t=1.919...,t=0.455...[/tex]

Therefore the ball reaches the height of 16 feet at times 1.92 seconds and at 0.46 seconds.

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Answer:  Choice 2

invalid. The inner circle is plants, and the outer circle is those with cells.

=========================================================

Further Explanation:

If we throw a dart at random, and we land in the inner circle (plants), then we automatically land in the outer circle (has cells).

Now imagine the dart landed in the "has cells" circle, but outside the smaller circle. This could be stuff like animal cells, bacteria, etc. So just because something has cells it does not automatically make it a plant. Saying "an iris has cells" is not enough info to be able to tell it's a plant or not. This means the conclusion of "irises are plants" is shaky at best.

This is why the overall argument structure is invalid.

For more information, check out the concept of "affirming the consequent" which is a common fallacy people make.

Answer:

The measure of <CDO and <DCo are 60° and 30°.

Step-by-step explanation:

∠CDO = 1/2 ∠CDA

= 1/2 (120)° = 60°

∠ADC + ∠DCB = 180°

120° + ∠DCB = 180°

⇒ ∠DCB = 180° – 120° = 60°

∠DCO = 1/2 ∠DCB

= 1/2 (60°) = 30°

I hope this helps, have a good day! :D

Answer:

  156 games

Step-by-step explanation:

You want to know the total number of games when each of 13 teams plays every other team exactly twice.

Each of the 13 teams will meet 12 others, for a total of 13×12 = 156 meetings.

This total counts the time team 1 meets team 2, and also the time team 2 meets team 1. In other words, this is exactly the game count we're looking for.

  156 games will be played.

__

Alternate solution

Team 1 will meet teams 2 through 13, for a total of 12 games. Team 2 has already met team 1, so will need to meet teams 3 through 12 for a total of 11 games. When we count all the games for one meeting between teams, we find the count to be 12 +11 +10 +9 +... +1 = (12)(13)/2 = 78.

If the teams are to meet twice, then 2 times this number of games will be played: 2(78) = 156.

The sum of integers 1 .. n is (n)(n+1)/2.

Answer:

9 9 years 9999999999999

The Rate of the change of position per second is 23 feet.

According to the statement

We have to find that the rate of the change of the position in the sea level.

So, For this purpose, we know that the

Rate of change is used to mathematically describe the percentage change in value over a defined period of time

From the given information:

She begins 133 feet below sea level.

After descending for 4 seconds, she's 225 feet below sea level.

Then

Rate of the change of position is = final position - initial position / time

Rate of the change of position is = 225 - 133 / 4

Rate of the change of position is = 92 / 4

Rate of the change of position is = 23.

So, The Rate of the change of position per second is 23 feet.

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Answer:

The correct option is 1.

Step-by-step explanation:

We have to find a function where f(2)=4. It means the value of function is 4 at x=2.

In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.

In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.

In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.

In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.

Thus, correct option is 1.