Question: In a litter of kittens there are 3 white kittens, 2 black kittens, and 5 orange kittens. Answer using odds notation, where the ratio of a to b is expressed as a:b. 1. What is the ratio of orange kittens to black kittens

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

Answer:

I believe he traveled 200 miles

Step-by-step explanation:

Multiply 40 by 5

The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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Step-by-step explanation:

The cost of one song is 2.56/2

= 1.28

EXPLANATION :

From the problem, we have an elevator that is 0.9m by 0.9m

If we draw a diagonal line, the length of a diagonal line of a square is :

where s is the side of the square.

That will be :

So you can apply the social distancing by standing at the opposite corners of the elevator.

Answer:

x=25

Step-by-step explanation:

We can set up an equation

2x - 3 = 47  solve for x

2x = 50.    isolated variable by adding 3 to both sides

x = 25.  got x alone by dividing both sides by 2

The percent change in the cookies sales from Tuesday to Wednesday equals -18.2%.

Number of cookies sold on Tuesday = 132

Number of cookies sold on Wednesday = 108

Percent change between Tuesday and Wednesday sales

= Difference between the two amounts divide by the original amount Tuesday sales and then multiply by 100 to express the change as a percentage.

The difference between the two amounts is,

= 108 - 132

= -24

Negative result because the Wednesday sales were less than Tuesday sales.

Percent change from Tuesday to Wednesday is

= (-24/132) x 100%

= -18.2%

Rounding to the nearest tenth of a percent, we get,

Percent change = -18.2%

Therefore, there was a 18.2 percent decrease in sales from Tuesday to Wednesday.

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Answer:

see below

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 from each side

2/3y + 15-15 = 9-15

2/3y = -6

Multiply each side by 3/2 to isolate y

3/2 * 2/3y = -6 *3/2

y = -9

Answer:

y = - 9

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 on both sides.

2/3y = 9 - 15

2/3y = - 6

Multiply both sides by 3/2.

y = - 6 × 3/2

y = -18/2

y = -9

Answer:

Hi again lol. It is complementary so it would equal to 90. The equation is 6x+1+29=90

Step-by-step explanation:

6x+1+29=90

6x+30=90

6x=60

divide both by 6

x=10

Answer: 10

Hope that helped! :)

Answer:

8.2 is your answer.

Step-by-step explanation:

first you would add 22 and 19 together to get 41

then you divide by 5 to get your answer 8.2

22+19=41÷5=8.2

Answer: 7

This is kind of a trick question. Each daughter has one brother- the same brother.

Answer:

14 people

Step-by-step explanation:

6(2) = 12

12 + 2= 14

8 additional workers need to be added for the remaining 6 days to complete the graduation task. The remaining work to be done is 7/12.

Let's solve the problem step by step:

We are given that 15 workers can complete the graduation task in 12 days. On the morning of the 5th day, the task is already partly completed.

To determine the progress made by the morning of the 5th day, we can calculate the total work done up to that point. Since the workers are equally efficient, we can assume that the work is distributed evenly over the days.

From day 1 to day 5, a total of 5 days have passed. Since the workers are completing the task in 12 days, the progress made by the morning of the 5th day is 5/12 or 5/12th of the total work.

Therefore, the remaining work to be done is 1 - (5/12) = 7/12.

To complete the remaining work in the remaining 6 days, x workers are added.

Since we have established that the 15 workers can complete the task in 12 days, we can set up a proportion to determine the relationship between the number of workers and the number of days.

15 workers / 12 days = x workers / 6 days

By cross-multiplying, we get:

15 * 6 = 12 * x

90 = 12x

Dividing both sides by 12, we find:

x = 90 / 12

x = 7.5

Since the number of workers must be a whole number, we cannot have 7.5 workers. Therefore, we round up to the nearest whole number.

Therefore, x is rounded up to 8 workers.

In conclusion, 8 additional workers need to be added for the remaining 6 days to complete the graduation task.

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The solution is: A = 4, P = π, PS = (–9, 0) are the amplitude (A), period (P) and phase shift (PS) of the function ƒ(x) = 4tan (x) + 9.

We have to find the amplitude (A), period (P) and phase shift (PS) of the function:

ƒ(x) = 4tan (x) + 9.

The amplitude for this function will be equal to the coefficient that multiplies the pure tangent function. In this case, the amplitude is A = 5.

The period is related to the coefficient inside the argument multiplying x: B = 1.

We can relate them as:

P = π/|B| = π

In this case, as there is no independent term inside the argument of the tangent function, there is no phase shift.

Also, there is an independent term outside the argument, so a is a phase shift.

i.e. PS = (–9, 0)

Hence, Answer: A = 4, P = π, PS = (–9, 0) are the amplitude (A), period (P) and phase shift (PS) of the function ƒ(x) = 4tan (x) + 9.

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The smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a is 2.

Intermediate Value Theorem (IVT) states that if a function f(x) is continuous on a closed interval [a, b], then for any value c between f(a) and f(b), there exists at least one value x = k, where a \(\leq\) k \(\leq\) b, such that f(k) = c.

From our question, we want to find the smallest positive integer a such that there exists a zero of the polynomial f(x) between 0 and a.

Since f(x) is a polynomial, it is continuous for all values of x. Therefore, the IVT guarantees that if f(0) and f(a) have opposite signs, then there must be at least one zero of f(x) between 0 and a.

We can evaluate f(0) and f(a) as follows:

f(x)=−2x³ + x² + 4x + 4

f(0) = -2(0)³ + (0)² + 4(0) + 4 = 4

f(a) = -2a³ + a² + 4a + 4

We want to find the smallest positive integer a such that f(0) and f(a) have opposite signs. Since f(0) is positive, we need to find the smallest positive integer a such that f(a) is negative.

We can try different values of a until we find the one that works.

Let's start with a = 1:

f(1) = -2(1)³ + (1)² + 4(1) + 4 = -2 + 1 + 4 + 4 = 7 (≠ 0)

f(2) = -2(2)³ + (2)² + 4(2) + 4 = -16 + 4 + 8 + 4 = 0

Since f(2) is zero, we know that f(x) has a zero between 0 and 2. Therefore, the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero of f(x) between 0 and a is a = 2.

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Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

Right triangle as it has 90° angle

Sides are a, b and 19 cm

Answer:

12.49 = r

13 = r to the nearest cm.

Step-by-step explanation:

The formula to calculate the volume is:

V = π*r^2*h

We know that V = 10291 cm^3 and Height (h) = 21cm

V = π*r^2*h

10291 = π*r^2*21

Divide both side by 21

10291/21 = (π*r^2*21)/21

490.05 = π*r^2

Now divide both side by π

490.05/π = (π*r^2)/π

155.99 = r^2

Now square root both side

√155.99 = √(r^2) Note: square and square root cancel eachother out.

12.49 = r or,

13 = r

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

The answer of the number simplified in scientific notation is 1 × 10¹.

Scientific notation is a way of expressing very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to an exponent.

(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁻⁽⁻⁴⁾

(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁺⁴

(2 × 10⁻³)/(2 × 10⁻⁴) = 2⁰ × 10¹

(2 × 10⁻³)/(2 × 10⁻⁴) = 1 × 10¹ {numbers to the power of zero is equal to 1}

Therefore, the answer of the number simplified in scientific notation is 1 × 10¹.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Overall, a bar graph would effectively convey the color information of fish found in Lake Powell by visually representing the different color categories and their corresponding frequencies or proportions.

The best option would depend on the specific data and purpose of the visualization. However, if the goal is to represent the color categories of fish in Lake Powell, a bar graph could be a suitable choice. Each bar would represent a color category, and the height of the bar could represent the frequency or proportion of fish in that color category.

By assigning each color category to a bar and varying the height of each bar based on the frequency or proportion of fish in that category, the bar graph provides a clear and visual representation of the distribution of fish colors in Lake Powell.

This allows viewers to easily compare the prevalence of different color categories, identify any dominant or rare colors, and gain insights into the overall color composition of the fish population in the lake.

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The city will need around 50.24 square feet of sod (grass) to cover the Inner circle of the roundabout. The formula for the area of a circle is A = πr² .The area of the roundabout about is 50.24 ft².This is how I found the area of the circle of the roundabout.

The area of a circle can be found using the formula A = πr², where A is the area and r is the radius. In this case, since the diameter of the inner circle is 8 ft, the radius is half of that, which is 4 ft. Thus, the area of the roundabout is A = π(4)² = 16π square feet. Using 3.14 for π, we can estimate the area to be approximately 50.24 square feet. Therefore, the city will need around 50.24 square feet of sod (grass) to cover the inner circle of the roundabout.

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Answer:

C.

Step-by-step explanation:

integer is a positive and negative number. integer is not a whole number because negative is not part of the whole number.

Step-by-step explanation:

C(4,2)

Use combinations formula,

c(n,r)=n!/r!(n-r)!

c(n,r)=4!/2!(2!)

\(c = \frac{4 \times 3 \times 2 \times 1 }{2 \times 1 \times 2 \times 1} \)

\(c = 3 \times 2 \times 1\)

\(c = 6\)

Answer:

m<a=41º

Step-by-step explanation:

a triangle has 180º total

180-98=82

since O is the center that makes OQ and OP radii and as such they are equally distanced

this means that the m<a and the measure opposite it are equal

so ÷82 by 2

a=41

The sum of Peter, Richard, and John's ages is 191.

We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)

The ratio of John's age to Peter's age is = 7/12 --(ii)

Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)

Using the value of (i),(ii),(iii), we get -

Age of Peter = (5*12)/(8*12) = 60/96

= 60 years of age

Age of John = (7*5)/(12*5) = 35/60

=35 years of age

From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age

Hence the sum of their ages is = 96+35+60

= 191

Therefore, we know that the sum of their ages is 191.

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Answer:

£252

Step-by-step explanation:

20% of £1260 = £252

Answer:

2 is multiplied by -4 and then a4 is gone to the bottom

Answer:

4

Step-by-step explanation:

To make the exponent -4 put it over 1.

\(\frac{1}{(2a)^{4} }\)

\(\frac{1}{2^{4}a^{4} }\)

\(\frac{1}{2x2x2x2xaxaxaxa}\)

\(\frac{1}{16a^{4} }\)

The linear program is as follows:

T - M ≤ -20,000

P - T ≤ -5,000

N - T ≤ -5,000

S - T ≤ -5,000

G - T - P ≤ 0

L - G ≤ -200

N + S - 2T - 2P ≤ 0

B - P ≤ 0

B - S ≤ 0

B + P ≤ 60,000

L - B - T ≤ 0

Let's define decision variables for each employee's salary as follows:

Let T, P, N, S, G, L, and B represent the salaries of Tom, Peter, Nina, Samir, Gary, Linda, and Bob, respectively.

Our objective is to minimize the salary of the highest paid employee. We can achieve this by introducing another variable, M, that represents the maximum salary among all employees. Therefore, our objective is to minimize M.

Minimize: M

Subject to:

T ≥ 20,000

P ≥ T + 5,000

N ≥ T + 5,000

S ≥ T + 5,000

G ≥ T + P

L ≥ G + 200

N + S ≥ 2(T + P)

B ≥ max(P, S)

B + P ≥ 60,000

L ≤ B + T

Now, we can write the linear program in standard form by moving all variables to the left-hand side of the constraints and adding slack variables:

Minimize: M

Subject to:

T - M ≤ -20,000

P - T ≤ -5,000

N - T ≤ -5,000

S - T ≤ -5,000

G - T - P ≤ 0

L - G ≤ -200

N + S - 2T - 2P ≤ 0

B - P ≤ 0

B - S ≤ 0

B + P ≤ 60,000

L - B - T ≤ 0

All variables are non-negative.

This linear program can be solved using a linear programming solver to find the minimum value of M that satisfies all the constraints. Once we have the optimal solution, we can retrieve the salaries of each employee from the linear program solution.

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