What's is 25/6 as an mixed number

2 ways to get to 1/2

Way 1:

Use the 1/4 scoop 2 times

1/4 + 1/4 =2/4

2/4 simplified is 1/2

Way 2:

Use the 1/8 scoop 4 titmes

1/8+1/8+1/8+1/8=4/8

4/8 simplified is 1/2

Hope this helps!

Answer:

Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144

Step-by-step explanation:

Answer: 20 hrs

Step-by-step explanation:

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

Given the graph of the linear function, we are asked to write the equation that describes that function

in slope-intercept form. This can be seen below

Explanation

The slope-intercept form of a linear function can be expressed as;

Where m is the slope of the function and c is the y-intercept.

From the graph, we can see that the y-intercept occurs at 5. We can then rewrite the equation as

Picking a suitable point (-4,4) we can then proceed to get the value of m.

Therefore, we will have the equation to be;

Answer:

The angle formed by the two hands have a measure less than 1/4 turn

From the question, we have the following parameters that can be used in our computation:

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer:

A is the right answer

Step-by-step explanation:

using distributive property

4*x + 2*4

4x+8

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Division

We are required to divide 432 by 5

The normal flow of the division requires to divide the hundreds by 5

But we cannot do that because 4 is less than 5

So we must regroup hundreds to tens to form the number 43

That number can be divided by 5

In order to write log10(0.001) = -3 in index form, we have \(10^{-3} = 0.001\).

The logarithm of a number refers to the power to which a given base is raised to give the number. In this case, the base is 10 and the index is 3. Our task is to write log10(0.001) = -3 in index form.

Recall that;

Hence, to write  log10(0.001) = -3 in index form we have to write, \(10^{-3} = 0.001\)

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Answer:

\(c = \frac{2a + b}{3}\)

Step-by-step explanation:

\(3c - b = 2a \\ 3c = 2a + b \\ \frac{3c}{3} = \frac{2a + b}{3} \\ c = \frac{2a + b}{3}\)

hope this helps you

let me know if you have another questions:-)

Answer:

c=2/3 a+1/3 b

Step-by-step explanation:

Answer:

Add 3/4 to 16

Step-by-step explanation:

x/4= 16 + 3/4

multiply by 4

x= 67

Answer:

Step-by-step explanation:

x - 3 = 16

   4

cross multiply

x - 3 = 16 (4)

simplify:

x = 64 + 3

x = 67

(a) C(p) is not defined since we can't divide by 0.

(b) The domain of C(p) as given by the equation is (-∞, 100) ∪ (100, ∞)

(c) The domain of C(p) in the context of the application is [0, 100)

(d) The percentage of particulate pollution removed from an industrial plant can't be negative or higher or equal than 100

Here we have given that Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by

C(p) = 8100p / (100 − p)

And we need to find the following.

(a) In general ma the we know that dividing by zero is not possible one.

Therefore, C(p) is undefined when we try to divide it by 0.

(b) The domain of C(p) is the function is not defined at p =100 the domain would be written as,

=> D = (-∞, 100) ∪ (100, ∞)

(c) The domain of C(p) in the context of the application  is calculated as,

=> D = [0, 100)

Therefore, the percentage of particulate pollution removed from an industrial plant can't be negative or higher or equal than 100.

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The number of students who just passed and didn't get any division is  195.

We can start by finding the number of students who got first or second division:

Next, we can find the total number of students who got a division:

Total number of students who got a division = Number of students who got first division + Number of students who got second division

= 125 + 175 = 300

Now, we can find the number of students who failed:

Number of students who failed = 5

Finally, we can subtract the number of students who got a division and the number of students who failed from the total number of students to find the number of students who just passed and didn't get any division:

Number of students who just passed and didn't get any division = Total number of students - Number of students who got a division - Number of students who failed

= 500 - 300 - 5

= 195

Therefore, the number of students who just passed and didn't get any division is 195.

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To find the mean of a set of data, add the data then divide it by the number of the data

Since the set of numbers is

{1, 1, 4, 8, 9, 3, 8}

There are 7 numbers, sum them and divide the answer by 7 to find the mean

Round it to the nearest tenth

Mean = 4.9

To find the median, arrange the data from smallest, then choose the middle one

to be the median

1, 1, 3, 4, 8, 8, 9

Since there are 7 numbers, then the middle one is the fourth number

Since the fourth number is 4

The median is 4

The range is the difference between the greatest and the smallest number

Since the greatest number is 9 and the smallest number is 1, then

The range = 9 - 1 = 8

The range is 8

\(\huge\tt\pink{QUESTIOŃ★᭄}\)

sum of all angles is 180 degree two of them is 58 degree and 47 degree and one more is named x ...

sum of 47 degree and 58 degree = 105°

180°-105°= 75°

your answer was 75

Answer:

90????

Step-by-step explanation:

is this a tongue twister or what??

Answer:

18. Aileen

19. Edward

20. 25 seconds

21. 40 seconds

22. 55 seconds or 3 minutes, 20 seconds - 4 minutes, 15 seconds

Step-by-step explanation:

Hello! Alright, let's start breaking down the answers one by one!

18.

To begin with 18, we just have to simply compare everyone's time to the actual time! (3 minutes and 46 seconds). To make this easier for us, we should convert everyone's time into the form of minutes/seconds. So it would be:

As you can compare here, the closest person here would be Aileen being 4 seconds off from the actual time.

19.

Based off of what we did in 18, we can use that chart to compare, we just have to find the time differences to see who is more off from the actual time and that would be:

Here in this case, Edward's estimate would be the farthest away with +29 seconds.

20.

To calculate the time difference between these two, we simply just take the data from 18 and compare Aileen and Edward. In this case, it would be a difference of 25 seconds.

21.

Again, we take a look at Alejandra and Chris's estimate and compare the time difference. In this case, it would be 40 seconds.

22.

Finally, to figure out the range, we essentially just need to figure out the time difference between the lowest time and the highest time estimated. So that would be Chris's time (3 minutes, 20 seconds) and Edward's time (4 minutes, 15 seconds) and that would be 55 seconds.

A projectile have a minimum speed at the highest point of its trajectory. This is because horizontal speed of the projectile remains constant.

Since the only force exerted on the projectile is gravity, which is

9.8 ms ^2  acting downwards and has no effects on the horizontal velocity.The maximum height the pumpkin reaches occurs at 62.5 horizontal meters from its launching spot.

The calculation is as follows;

The equation is y = -0.008x^2 +x

that corresponds to a curve presented by a parabola.

Now we can determine the maximum of this parabola with arms pointing down requesting the derivative slope of the tangent line to

the curve to be zero

So,= 62.5m

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Answer:

You graph (x,y) what this means is what the first number is (x) you graph on the bottom line on the number it gave you next you have (y) you graph this one on the line going up. If that makes sense

Step-by-step explanation:

The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

final price $42,624

price decrease $5376

Step-by-step explanation:

multiply 11.2 percent by 48000 and then get the answer from that and subtract from total

Decrease:-

\(\\ \rm\Rrightarrow 0.112(48000)\)

\(\\ \rm\Rrightarrow 5376\$\)

New price:-

\(\\ \rm\Rrightarrow 48000-5376\)

\(\\ \rm\Rrightarrow 42624\$\)

Answer:2.25

Step-by-step explanation:it just is

The size of the reflex angle above to the nearest degree is 277 degrees.

In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis) with a measure of 360 degrees.

A reflex angle can be defined as a type of angle that is more than 180 degrees but less than 360 degrees.

Based on the information provided about this circle (protractor), we have:

83 + x = 360

x = 360 - 83

x = 277 degrees.

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C

1, -9 , 81 , -729 .....

ratio :-

R1 = -9/1 = -9

R2 = 81/-9 = -9

R3 = -729 / 81 =-9

so ,. R1= R2= R3

The solution is : the percentage of cars that are driving less than 45 mi/hr is 2.3%

Here, we have,

Since the speeds of cars are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = speeds of cars

µ = mean speed

σ = standard deviation

From the information given,

µ = 55 mi/hr

σ = 5 mi/hr

The probability that a car is driving less than 45 mi/hr is expressed as

P(x < 45)

For x = 45

z = (45 - 55)/5 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

Therefore, the percentage of cars that are driving less than 45 mi/hr is

0.023 × 100 = 2.3%

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