2 Five best friends agreed to save 10% from their daily allowance of PhP 100. 00
How long would it take them to save PhP 200. 00?
3. In a barangay assembly, 130 people attended. 80% of attendees were parents. How
many youths attended the assembly?
+
15% of our class of 40 was unable to join the District Meet. How many in our class
attended the District Meet?
5. Princess Urduja Elementary School conducted a PTA Meeting. Out of 350 people
who attended, 70% were female. How many of them were male?
6. Among 60 men in barangay Caguisan, 60% earn a living by fishing, and the rest are
living by farming. How many are farmers?
7. Of the 10 on-going projects in the Province of Palawan, 70% are fully implemented
How many projects are fully implemented?​

Answer:

(-1/10)

Step-by-step explanation:

I'll assume 1/4xy is (1/4)xy and not 1/(4xy).

(1/4)xy

(1/4)(-2/3)(3/5)

Multiple the numerators and denominators separately:

Numerator + 1*(-2)*3 = -6

Deniominator 4*3*5 = 60

Put them back together:  (-6/60)  This reduces to (-1/10)

Answer:

stylo fabric customer care 9903160322##8944928267

Answer:

the degree is the largest exponent on the variable

answer - 6

Answer: C=22

Step-by-step explanation:

sing the formulas

A=πr2

C=2πr

Solving forC

C=2πA=2·π·38.5≈21.99557

Answer
117.95 m

Step-by-step explanation:

First, you divide C by 3.14
then divide that by "2"
after you square it (multiply it by itself)
then last you multiply by 3.14
ex.

Answer:

15 5/8

Step-by-step explanation:

6 1/4 divided by 2/5

convert mixed numbers to improper fraction: 6 1/4 = 25/4

= 25/4 divided by 2/5

= 25/4 times 5/2

= 25 times 5/4 times 2

= 125/4 times 2

= 125/8

= 15 5/8

\(15 \frac{5}{8} \) ✅

Step-by-step explanation:

\( \frac{6 \frac{1}{4} }{ \frac{2}{5} } \\ = \frac{25}{4} \times \frac{5}{2} \\ = \frac{125}{8} \\ = 15\frac{5}{8} \)

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

The three-course meals that are possible are 300.

To calculate how many three-course meals are possible, we need to calculate the total number of options. Since, you cannot have both dessert and appetizer, you have two options for the first course. Let's consider both these cases separately.

Case 1: Dessert

For the first course, there are six dessert option. After choosing a dessert, you are left with five soup option and five main course option. In this case, number of three-course meals possible are 6 * 5 * 5 = 150.

Case 2: Appetizer

For the first course, there are six appetizer option. After choosing an appetizer, you are left with five soup option and five main course option. In this case, number of three-course meals possible are 6 * 5 * 5 = 150.

Therefore, by adding up both the possibilities from both the cases, we have a total of 150 + 150 = 300 three-course meals possible.

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Answer:

103.82103.81625

Step-by-step explanation:

A=pi R squared

A=3.14x5.75 squared

A=3.14x33.0625

A=103.81625

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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The expression (1.4 × 10¹)(8 × 10⁴) in scientific notation is 1.12 × 10⁵ and for expression (1.1 × 10⁻⁵)(3 × 10²) the  scientific notation is 3.3 × 10⁻³

The given expressions are (1.4 × 10¹)(8 × 10⁴) can be calculated as:

Firstly we will multiply the decimal numbers and whole numbers

1.4 × 8

One point four times eight is equal to eleven point two

= 11.2

Now we multiply the base with ten

10¹ × 10⁴

We know that when the bases are same then the powers will be added in multiplication

= 10⁵

Combining these results, we have 11.2 × 10⁵

Therefore, the result in scientific notation is 1.12 × 10⁵

Similarly, for (1.1 × 10⁻⁵)(3 × 10²)

We will multiply the decimal numbers and whole numbers

1.1 × 3 = 3.3

Now the base with ten will be multiplied

10⁻⁵ × 10²

The bases are same the powers will be added

= 10⁻³

Combining these results, we have 3.3 × 10⁻³

Therefore, the result in scientific notation is 3.3 × 10⁻³

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Using Euler's approach, the error in the estimated value of y(0.25) is approximately 0.09375 or 0.094.

Given the ODE and initial condition as:

dy/dx = (1+2x)√y, y(0) = 1

Using Euler's method, we have to evaluate the value of y(0.25) with a step size of h = 0.25.

Step 1: Calculation of f(x,y)f(x, y) = dy/dx = (1+2x)√y

Step 2: Calculation of y(0.25)

Using Euler's method, we can approximate the value of y at x=0.25 as follows:y1 = y0 + hf(x0, y0)where y0 = 1, x0 = 0 and h = 0.25f(x0, y0) = f(0, 1) = (1+2(0))√1 = 1y1 = 1 + 0.25(1) = 1.25

Therefore, y(0.25) = 1.25.

Step 3: Calculation of the exact value of y(0.25)We can find the exact value of y(0.25) by solving the ODE:

dy/dx = (1+2x)√ydy/√y = (1+2x) dxIntegrating both sides:

∫dy/√y = ∫(1+2x)dx2√y = x^2 + 2x + C, where C is athe constant of integration Since y(0) = 1,

we can solve for C as follows: 2√1 = 0^2 + 2(0) + C => C = 2

Therefore, the exact solution of the ODE is given by:2√y = x^2 + 2x + 2Solving for y, we get:y = [(x^2 + 2x + 2)/2]^2

The exact value of y(0.25) is given by:y(0.25) = [(0.25^2 + 2(0.25) + 2)/2]^2= (2.3125/2)^2= 1.15625

Step 4: Calculation of the errorError = |Exact value - Approximate value|Error = |1.15625 - 1.25| = 0.09375

Therefore, the error in the approximate value of y(0.25) using Euler's method is 0.09375 or 0.094 (approx).

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Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer:

0.53 is the right answer its not 0.28 because I did the work and I got 0.53 by dividing

Step-by-step explanation:

Answer:

0.75c

Step-by-step explanation:

Answer:

c-0.75c

Step-by-step explanation:

Answer: A or C

Step-by-step explanation:

Answer:

the total cost of the brackets before tax is $89.7

Step-by-step explanation:

The computation of the total cost of the bracket before tax is as follows

Given that

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

The distance of brackets from ends is 1 foot

The maximum distance between brackets is 24 inches

Now based on the above information

The brackets are

= 48 ÷ 12

= 4 feet

And

= 60 ÷ 12

= 5 feet

The length of the shelf is  60 inch

Now the 1 could be deducted from each side

= 60 - 2

= 58 in

Now Divide it by 24 inches

= 58 ÷ 24

= 2.41 ~ 3  

Finally, The total cost is

= ($12.95 + $16.95) × 3

= $89.7

Hence, the total cost of the brackets before tax is $89.7

Answer:

Hope it helps!

Step-by-step explanation:

To find the inverse of a function, we can follow these steps:

Replace f(x) with y.

Swap x and y.

Solve for y.

So, for the function y = x^2 - 10x, we can start by replacing f(x) with y:

y = x^2 - 10x

Next, we swap x and y:

x = y^2 - 10y

Now we solve for y. Rearranging the equation, we get:

y^2 - 10y - x = 0

Using the quadratic formula, we can solve for y:

y = (10 ± √(100 + 4x)) / 2

Therefore, the inverse of y = x^2 - 10x is:

y = (10 ± √(100 + 4x)) / 2

The height of the apple tree is 17.6 feet. Therefore, the answer is option d.

Candace is trying to figure out how tall her apple tree is. She is 5.5 ft and her shadow is 10 ft, while the apple tree's shadow is 32 ft, at the same time of day.

Therefore, using proportional relationship, let's find the height of the apple tree.

let

x = height of the apple tree

Hence,

5.5 / 10 = x / 32

cross multiply

32 × 5.5 = 10x

176 = 10x

divide both sides by 10

x = 176 / 10

x = 17.6

Therefore,

height of the apple tree = 17.6 ft

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The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

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Answer:

150=(55-c)(5.5-t)

5.5-t=150/(55-c)

-t=(150-302.5+5.5c)/(55-c)

t=(152.5-5.5c)/(55-c)

150=(55+c)t   using t found about

150=(55+c)(152.5-5.5c)/(55-c)

8250-150c=8387.5-302.5c+152.5c-5.5c^2

5.5c^2=137.5

c^2=25

c=5

So the current is 5mph.

Step-by-step explanation:

16250 many different three-letter words—including nonsense words—have different letters in the next position.

Given that,

We have to find how many different three-letter words—including nonsense words—have different letters in the next position.

We know that,

The number of alphabets are 26

First letter has 26 choices.

Second letter can not be same has first letter so 25 choices.

Third letter can not be same has second letter so 25 choices.

So,

Total words = 26×25×25=16250

Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.

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100 same-day tickets were sold for the cost using equation.

To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:

x + y = 600   (equation 1: total number of tickets sold)
50x + 30y = 28000   (equation 2: total amount paid for tickets)

We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:

50x + 30(600 - x) = 28000

Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500

So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:

500 + y = 600
y = 100

So 100 same-day tickets were sold.

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Answer:

8x + 24

Step-by-step explanation:

1. 8(x + 3) - Distribute

2. 8x + 24 - Answer

The total amount of rainwater collected in the next 6 hours will be equal to 1.5 cm.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Rainwater in the bucket from last night = 3 cm

Night = 12 hours

Then, rainwater collected per hour = 3/12 = 0.25 cm per hour.

Then, the total amount of water in the next 6 hours will be,

0.25 × 6 = 1.5 cm.

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Answer:

1. Reflection across the y-axis

2. ΔXYZ = ΔABC

3.

∠A =∠X

∠B =∠Y

∠C =∠Z

AB = XY

BC = YZ

AC = XZ

1. Reflection across the y-axis

2. ∆XYZ ~= AABC

3.

angleA=angleX

angleB=angleY

angleC=angleZ

ZAB = XY

ZAB = XYBC = YZ

ZAB = XYBC = YZAC = XZ

Answer:

Step-by-step explanation:

(x + 11)/-2 = -8

x + 11 = 16

x = 5

1. 45 out of the 105 tiles to be vowels.

2. 10 out of the 20 cards to have flowers on them.

1. The expected number of vowels among the 105 tiles, we can multiply the proportion of vowels by the total number of tiles:

Expected number of vowels

= Proportion of vowels x Total number of tiles

= (3/7) x 105

= (3/7) x 105

= 45

Therefore, you would expect 45 out of the 105 tiles to be vowels.

2. Now, to find the expected number of cards with flowers among the 20 cards, we can multiply the proportion of cards with flowers by the total number of cards:

Expected number of cards with flowers

= Proportion of cards with flowers x Total number of cards

= (2/4) x 20

= 10

Therefore, you would expect 10 out of the 20 cards to have flowers on them.

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