what percent of 1/2 is 2/5

Answer:

No solutions since they are two variables and it supposed to be solved simultaneously

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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there is 128 fluid ounces per gallon so 1.5 gallons = 1.5 x 128 = 192 fluid ounces

Scotts cap holds 3 ounces so 192/3 = 64

Nikkis cap holds 4 ounces so 192/4 = 48

64-48 = 16 more caps for Scott

Answer:

There are 128 ounces in 1 gallon

Step-by-step explanation:

1,5gallons= 192 ounces

1,5gallons= 192 ouncesScott = 3 oz per lid

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergent

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergentNikki = 4oz per lid 

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergentNikki = 4oz per lid 192 divided by 4 = 48 1/2 lids

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergentNikki = 4oz per lid 192 divided by 4 = 48 1/2 lids64 - 48.5 = 15.5 lids more

Answer:

Step-by-step explanation:

KT because triangles KIT and KET are  congruent ( mirror images).

Answer:

1782 cm³

Step-by-step explanation:

First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.

Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³

Answer: 0-999

Step-by-step explanation: So we know that there is 10 numbers, and we know that we can do the same number more than once, so

10 to the fourth power equals 10,000

So the digits could be up to 0000 to 9999

Helpful?

Answer:

3x² + 6

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 4x² + 1 - (x² - 5) ← distribute parenthesis by - 1

= 4x² + 1 - x² + 5 ← collect like terms

= 3x² + 6

After 10 years of saving 150 birrs per month in a savings and credit association with a 3% monthly compounded interest rate, the account will have approximately 626.56 birrs.

Monthly savings: \($P = 150$\) birr

Annual interest rate: \($r = 3\% = 0.03$\)

the number of times compounded per year: \($n = 12$\) (monthly compounding)

A number of years: \($t = 10$\)

To calculate the final amount \($A$\) in the account after 10 years, we can use the formula for compound interest:

\(\[A = P \left(1 + \frac{r}{n}\right)^{nt}\]\)

Substituting the given values into the formula:

\(\[A = 150 \left(1 + \frac{0.03}{12}\right)^{12 \times 10}\]\)

Simplifying the expression inside the brackets:

\(\[A = 150 \left(1 + \frac{0.0025}{1}\right)^{120}\]\)

Performing the calculation inside the brackets:

\(\[A = 150 \left(1.0025\right)^{120}\]\)

Calculating the value inside the brackets:

\(\[A = 150 \times 1.349858807^{}\]\)

Evaluating the exponential expression:

\(\[A \approx 150 \times 4.177065857\]\)

Calculating the final amount:

\(\[A \approx 626.56 \, \text{birrs}\]\)

Therefore, at the end of 10 years, the amount in the account will be approximately 626.56 birrs.

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Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

Answer:  m = 3 , b = -2

Step-by-step explanation:

y = 3x - 2, we found out m and b by using the form y = mx + b, where m is the number in front of x.

Therefore we found out that m is 3, b is -2.

The probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is approximately 0.012 or 1.2%.

To solve this problem, we need to count the number of ways to choose 10 cards from a deck of 52 cards and then divide by the total number of ways to put these cards into 4 piles.

Step 1: Count the total number of ways to choose 10 cards from a deck of 52 cards using the combination formula:

C(52, 10) = 52! / (10! × 42!) = 158,200,242,880 / (3,628,800 × 99,884,160) = 1,787,671

Step 2: Count the total number of ways to put 10 cards into 4 piles. We can think of each card as having 4 choices, one for each pile. Therefore, the total number of ways to put the cards into piles is:

\(4^{10}\) = 1,048,576

Step 3: Count the number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1.

First, we need to choose 4 cards from the 10 cards to go into the largest pile. This can be done in C(10,4) ways:

C(10,4) = 10! / (4! × 6!) = 210

Then, we need to choose 3 cards from the remaining 6 cards to go into the next largest pile. This can be done in C(6,3) ways:

C(6,3) = 6! / (3! × 3!) = 20

Next, we need to choose 2 cards from the remaining 3 cards to go into the next largest pile. This can be done in C(3,2) ways:

C(3,2) = 3! / (2! × 1!) = 3

Finally, the remaining card goes into the smallest pile. Therefore, there is only one way to put the card into the smallest pile.

Therefore, the total number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is:

C(10,4) × C(6,3) × C(3,2) × 1 = 210 × 20 × 3 × 1 = 12,600

Step 4: Calculate the likelihood by dividing the number of ways in Step 3 by the number of ways in Step 2:

P = 12,600 / 1,048,576 = 0.012 or 1.2%.

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Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for y

Answer:

x=7

Step-by-step explanation:

6(x+5)=72

6x+30=72

6x=42

x=7

Answer:

5 watts

Step-by-step explanation:

power (measured in watts) is joules per second, or J/s

J = 20

s = 4

J/s = 5

Rounding to the nearest integer, we estimate that the student's homework grade is 37.

To find the linear regression equation for this set of data, we first need to calculate the slope (b) and y-intercept (a). Using the formula for the slope:
b = (nΣ(xy) - ΣxΣy) / (nΣ(x^2) - (Σx)^2)
where n is the number of data points, we get:
b = (5(369) - (85)(77)) / (5(445) - (85)^2) ≈ 0.9
Next, we can use the formula for the y-intercept:
a = ȳ - bẍ
where ȳ is the mean of the y-values and ẍ is the mean of the x-values. We get:
ȳ = (58 + 70 + 74 + 82 + 88) / 5 = 74.4
ẍ = (65 + 70 + 75 + 80 + 85) / 5 = 75
a = 74.4 - (0.9)(75) ≈ -0.6
Therefore, the linear regression equation is:
y = -0.6 + 0.9x
To estimate the homework grade for a student with a test grade of 42, we plug in x = 42 and solve for y:
y = -0.6 + 0.9(42) ≈ 36.6
Rounding to the nearest integer, we estimate that the student's homework grade is 37.

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The ratio of C:D:F is 5:3:18.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The ratio of C:D is 5:3,

the ratio of F:D is 6:1.

i.e. F:D= 18:3

now,

C:D:F= 5:3:18.

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Given the number:

0.0002077​

Let's express in scientific notation.

To express the number in scientific notation, move the decimal point so that there is only one non-zero number to the left of the decimal point.

Then, the number of decimal places you move will be the exponent on 10.

If the decimal point is moved to the right, the exponent will be negative.

If the decimal pointt is moved to the left, the exponent will be positive.

In this case the decimal point will be moved to the right.

Using this description, we have the scientific notation below:

Answer:

2.077 x \(10^{-4}\)

Step-by-step explanation:

First, move the decimal place until we have a single digit between 1 and 10 to the left of the decimal point. In this problem, if we keep moving the decimal point to the right in 0.0002077 we will get 2.077.

Next, count how many places we moved the decimal point. If we have to move the decimal place to the right, the exponent will be negative.  If we had moved the decimal place to the left, the exponent would be positive.  In this case we had to move it 4 places to the right to change 0002077 to 2.077. We show that we moved it 4 places to the right by noting that the number should be multiplied by \(10^{-4}\).

The probability that the next piece of track Carly picks will be straight is 8/24 or 1/3

From the given information, Carly has picked 8 straight, 7 curved, 4 cross, and 5 switch tracks.

The total number of pieces of the track she has picked is 8 + 7 + 4 + 5 = 24

The probability that the next piece of track Carly picks will be straight is calculated as follows:

Probability = Number of straight tracks/Total number of tracks= 8/24= 1/3T

Therefore, the probability that the next piece of track Carly picks will be straight is 1/3.

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Answer: 1/3

Step-by-step explanation: i did this question and got it right

Answer:

yes

Step-by-step explanation:

that's hard but you'll figure it out so don't worry

Answer: 4 dollars per person .  that would be it .

Step-by-step explanation:

Answer:

4$ per 1 person

Step-by-step explanation:

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

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(a) Under-/over-absorption of overhead costs occurs when actual overhead costs differ from allocated costs, requiring adjustments to the cost of sales.

(b) The direct method allocates overheads directly to Production Departments, while the step-down method considers interdependencies and allocates costs sequentially based on a hierarchy.

(a) Under-/over-absorption of overhead costs occurs when the actual overhead costs incurred differ from the overhead costs allocated or absorbed. This discrepancy can arise due to various factors such as changes in production levels, inefficiencies, or inaccurate cost estimates. Adjustments are necessary to rectify the difference and accurately calculate the cost of sales. This is typically done by comparing the actual overhead costs with the absorbed overhead costs using an overhead absorption rate. The difference is then adjusted through journal entries to bring the cost of sales in line with the actual costs incurred.

(b) The direct method of allocating Service Cost Centre overheads involves directly allocating overheads from the Service Cost Centres to the Production Departments. This method is relatively simple and straightforward but does not consider the interdependencies between departments.

The step-down method, on the other hand, allocates overheads sequentially based on a predetermined hierarchy. The method starts by allocating overheads from one Service Cost Centre to other Service Cost Centres and then to the Production Departments. This method considers the interdependence between departments, as the costs incurred in one department can affect the costs of other departments.

The suitability of each method depends on various factors. The direct method is more suitable when departments operate independently, and the interdependencies are minimal. The step-down method is more appropriate when there are significant interdependencies between departments and a more accurate allocation of costs is desired.

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Answer:

D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds​.

Step-by-step explanation:

In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.

Answer:

nth term = 10 + (n - 1)-3

Step-by-step explanation:

a) 10, 7, 4, 1

First term,a = 10

Common difference,d = 7 - 10 = -3

nth term = a + (n - 1)d

nth term = 10 + (n - 1)-3

b 6, 4, 2,0

First term,a = 6

Common difference,d = 4 - 6 = -2

nth term = a + (n - 1)d

nth term = 6 + (n - 1)-2

c) 9,4 -1,-6

First term,a = 9

Common difference,d = 4 - 9 = -5

nth term = a + (n - 1)d

nth term = 9 + (n - 1)-5

d) 2.5, 2. 1.5, 1

First term,a = 2.5

Common difference,d = 2 - 2.5 = -0.5

nth term = a + (n - 1)d

nth term = 2.5 + (n - 1)-0.5