pls helppppppppppp i give points

Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.

To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.

Let's start by calculating the sum of the fractions Billy and Joe have paid:

Billy's share = 1/2

Joe's share = 2/5

To find the combined share of Billy and Joe, we add their fractions:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:

1/2 = 5/10

2/5 = 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).

Remaining fraction = 1 - 9/10

= 10/10 - 9/10

= 1/10

Therefore, Paul pays 1/10 of the holiday cost.

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Answer:

The maximum amount that Kathy can contribute to a SEP IRA for 2018 is based on her net self-employment income. To calculate this amount, she first needs to subtract her self-employment expenses from her revenues to get her net self-employment income:

$132,000 - $52,800 = $79,200

Next, she can calculate the maximum amount she can contribute to a SEP IRA using the following formula:

Net self-employment income * 0.20 = Maximum SEP contribution

So for Kathy, the calculation would be:

$79,200 * 0.20 = $15,840

Therefore, the maximum amount Kathy can contribute to a SEP IRA for 2018 is $15,840

Kathy can contribute the full amount of $15,840 to a SEP IRA for 2018.

A break-even point is a moment at which an incident's total cost and total income are equal. An organization has recouped its expenditures but has not yet achieved a profit at the break-even point.

To calculate the amount, we first need to determine Kathy's net self-employment income by subtracting her self-employment expenses from her self-employment revenues:

Net self-employment income = Revenues - Expenses

= $132,000 - $52,800

= $79,200

The maximum amount that Kathy can contribute to a SEP IRA is 20% of her net self-employment income, up to a limit of $55,000 for 2018. So to find the maximum amount that Kathy can contribute, we multiply her net self-employment income by 20%:

Maximum contribution = 20% × Net self-employment income

= 20% × $79,200

= $15,840

Since $15,840 is less than the maximum limit of $55,000 for 2018, Kathy can contribute the full amount of $15,840 to a SEP IRA for 2018.

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The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

Answer:

x=271923706893.616

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

7x5=35

Make it a ratio and 1 doesnt make a diffrence.

If a machine fills boxes at a constant rate at the end of 35 minutes, it has filled 5 boxes then 1 box is filled in 7 minutes.

A division is a process of splitting a specific amount into equal parts.

Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.

A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function.

The constant rate of change is also known as the slope.

Linear functions will have a constant rate of change.

Now, in 35 minutes machine has filled 5 boxes.

So, 1 box is filled in 35/5=7 minutes.

Hence, if a machine fills boxes at a constant rate at the end of 35 minutes, it has filled 5 boxes then 1 box is filled in 7 minutes.

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Answer:

10.30 or 10 1/6 if this answer is not on the answer choices round to the nearest answer close to this.  

Step-by-step explanation:

how to solve.

34/5=6.8    - this is how many miles the car is traveling per minuet.

6.8/70=10.30   - this should be the answer because this is how many minutes it takes the car to travel 70 miles

Answer:

1,844,580,200,000,000 = 1.8445802×10^15

Step-by-step explanation:

31^3 x 12^10

31^3 = 31 x 31 x 31

12^10 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12

31^3 = 29791

12^10 = 61917364224

29791 x 61917364224 = 1,844,580,200,000,000 = 1.8445802×10^15

Answer:

the firs one

Step-by-step explanation:

The difference between the depths in February and July is D. 13 feet.

From the information illustrated, it was stated that the depth of a local lake average 26 ft is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|.

Therefore, it should be noted that the depth in July is -18.

Therefore, the difference between the depths in February and July will be:

= -5 - (-18)

= -5 + 18

= 13

Therefore, the depth is 13 feet.

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The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0

Displacement is defined as the shortest distance travelled by the object.

According to the question we have been given that the honeybee travelled 2km before returning to the hive.

Thus the total distance travelled by the honeybee is = 2 + 2 km

                                                                                             = 4 km

And the honeybee’s displacement = 0

Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.

Hence total distance = 4km

And displacement = 0

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Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer:

3

Step-by-step explanation:

Set equation to 9 to find x:

9=5x-6

+6 +6

15=5x

x=3

According to the solving they are not equivalent expression:

Expression 1: 4y(y +20)  ≠ Expression 2: 4y + 24.

Expressions that appear to be equivalent do the same action despite having distinct appearances. When the variable is input with the same value, two equivalent algebraic formulas are given the same value.

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is indicated by the symbol f1.

According to the given information:

Expression 1: 4y(y +20)

Expression 2: 4y + 24

While putting the value in first expression:

For expression 1:

= 4y(y +20)

= 8(2 + 20)

= 8 x 22

= 176

For expression 2:

= 4y + 24

= 8 + 24

= 32

They are not equivalent expression:

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Answer:

False; false; true

Step-by-step explanation:

Answer:

3.5 hours.

Step-by-step explanation:

d = r * t

d = distance

r = number of miles per hour

t = time

Givens

d = 168

r = 48 miles / hour

t = ?

Solution

t = d / r

t = 168 / 48

t = 3 1/2 hours or 3.5 hours or 3 hours and 30 minutes.

Answer:

go get that girl

Step-by-step explanation:

sike  you use what you got the first time

Answer:

If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.

(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)

The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

undefined

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2  x_1)

slope = (-3 - 4)/(6 - 6)

slope = -7/0

Since division by zero is undefined, this line has undefined slope.

Answer:4

Step-by-step explanation:

The required explicit formula for the given geometric sequence is aₙ = (aₙ₋₁) * 2⁽ⁿ⁻¹⁾.

The recursive form is given as:

aₙ = aₙ₋₁ * 2

a₁ = 2

To find the common ratio, we can divide each term by its preceding term:

r = aₙ / aₙ₋₁

As per the question, r = 2, since each term is obtained by multiplying the previous term by 2.

The first term, a₁, is given as 2.

To express the sequence in explicit formula form, we can rewrite the recursive form using the index n:

aₙ = (aₙ₋₁) * 2

By substituting (n-1) for the index, we get:

aₙ = (aₙ₋₁) * 2

Hence, the explicit formula is aₙ = (aₙ₋₁) * 2⁽ⁿ⁻¹⁾.

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Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

\(5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12\)

the, the area of the left triangle is

\(A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30\)

the area of the right triangle is

\(A_2=\frac{2*12}{2} \\A_2=12\)

and the area of the rectangle in the middle is

\(A_3=(13)(12)\\A_3=156\)

Por tanto, el area total sera

\(A=A_1+A_2+A_3\\A=30+12+156\\A=198\)

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

-2x + 1 = -4x + 9

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-2(4) + 1 = -4(4) + 9

-8 + 1 = -16 + 9

-7 = -7

Answer: x = 1/7

Step-by-step explanation:

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

5249 years

Step-by-step explanation:

Half-Life of Carbon-14 is approximately 5730 years.

When we want to determine the age of a fossil using carbon dating, we use the formula:

\(t=\dfrac{\ln(N/N_0)}{-0.693} \cdot t_{1/2}\)

Where:

In this case:

N(t)=100

\(N_o=53\\t_{1/2}\approx 5730$ years\)

Therefore, the age of the mummy

\(t=\dfrac{\ln(53/100)}{-0.693} \cdot 5730\\=5249.43$ years\\t \approx 5249$ years\)

Answer:

the answer is 6349 :)

Step-by-step explanation:

Someone put the correct answer in the comments so I figured I would put it here so you wouldn't miss it :) (It is correct I have tested it)

The mistake each student made and what each student needs to do to fix their mistake is;

x² - 6x + 8 = 0

x = - b ± √b² - 4ac / 2a

where,

x = - b ± √b² - 4ac / 2a

= -(-6) ± √(-6)² - 4(1)(8) / 2(1)

= 6 ± √36 - 32 / 2

= 6 ± √4 / 2

= 6 ± 2 / 2

x = 6/2 + 2/2 or 6/2 - 2/2

= 3 + 1 or 3 - 1

x = 4 or 2

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Answer:

We can use the formula |a × b| = |a| |b| sin θ to solve for the magnitude of the cross product |a × b|, where θ is the angle between vectors a and b. In this case, we have |a × b| = 1 and θ = π/4, so we can write:

1 = |a| |b| sin(π/4)

Simplifying, we have:

|a| |b| = √2

Now, we need to find the dot product a · b. We know that:

a · b = |a| |b| cos θ

where θ is the angle between vectors a and b. Since we're given the angle between a and b, we can substitute θ = π/4 and use the value we found for |a| |b|:

a · b = (√2) cos(π/4) = (√2)/2

Therefore, a · b is equal to (√2)/2.

Step-by-step explanation:

The interest earned after 3 months is $75

What is simple interest?

The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted

I=PRT

I=interest=unknown

P=principal=$6000

R=interest rate=5%

T= 3 months=0.25 year

I=$6000*5%*0.25

I=$75

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Answer:

75 dollars

Step-by-step explanation:

i got it right