what is 2.8985 converted into a fraction

Their speeds are 45 mi/hr and 49 mi/hr

Answer:

The speed of the faster car is 68 miles/hr and speed of slower car is 40 miles/hr.

Step-by-step explanation:

Let the speed of the slower car be x

Now we are given that The speed of the faster car was 12 mph less than twice the speed of the other one.

So, Speed of faster car = 2x-12

Now we are given that In 6 hours the faster car got to San Diego, and by that time the slower one still was 168 miles away from the destination.

So, faster car completes the journey in 6 hours

Distance = [tex]Speed \times Time[/tex]

So, Distance traveled by faster car = [tex](2x-12)\times 6[/tex]

Distance traveled by slower car in 6 hours = [tex]Speed \times Time=6x[/tex]

Since we are given that when faster car completes the journey at that time slower car was 168 miles away from the destination .

A.T.Q

[tex](2x-12)\times 6-6x=168[/tex]

[tex]12x-72-6x=168[/tex]

[tex]6x-72=168[/tex]

[tex]6x=240[/tex]

[tex]x=\frac{240}{6}[/tex]

[tex]x=40[/tex]

So, speed of slower car is 40 miles/hr.

Speed of faster car = 2x-12 =2(40)-12=80-12=68 miles/hr.

Hence the speed of the faster car is 68 miles/hr and speed of slower car is 40 miles/hr.

For this case we must find the value of the variable "x" of the following expression:

[tex]4(10^{5x})=200[/tex]

We divide both sides of the equation by 4:

[tex]10 ^ {5x} = \frac {200} {4}\\10 ^ {5x} = 50[/tex]

We find ln on both sides of the equation to remove the exponent variable:

[tex]ln (10^{5x}) = ln (50)\\5x * ln (10) = ln (50)[/tex]

We divide both sides of the equation between 5 * ln (10):[tex]x = \frac {ln (50)} {5 * ln (10)}[/tex]

In decimal form we have:

[tex]x = 0.33979400[/tex]

ANswer:

[tex]x = 0.33979400[/tex]

Answer:

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

Step-by-step explanation:

Answer:

The set of all points in a plane that are equidistant from the two sides of a given angle.

Step-by-step explanation:

Answer:

[tex]\large\boxed{Domain:\ x\in\mathbb{R}\to\text{the set of all real numbers}}[/tex]

Step-by-step explanation:

The domain of roots:

[tex]\sqrt[n]{p(x)}[/tex]

If n is an odd number, then p(x) can be any real number.

If n is an even number, then p(x) must be a non-negative number.

We have

[tex]f(x)=\sqrt[3]{2x^2-3x-9}[/tex]

n = 3 → odd number.

Therefore the domain is the set of all real numbers.

Answer:

It will take 4.858 years before the CD worth 8228.24

Step-by-step explanation:

* Lets revise the compound interest

- The formula for compound interest, including principal sum, is:

  A = P (1 + r/n)^(nt)

- Where:

• A = the future value of the investment/loan, including interest

• P = the principal investment amount (the initial deposit or loan amount)

• r = the annual interest rate (decimal)

• n = the number of times that interest is compounded per unit t

• t = the time the money is invested or borrowed for

- To find the time you can use the formula

  t = ln(A/P) / n[ln(1 + r/n)]

* Lets solve the problem

∵ P = $5600

∵ A = 8228.24

∵ r = 8/100 = 0.08

∵ n = 4

- Substitute all of these values in the equation of t

∴ t = ln(8228.24/5600) / 4[ln(1 + 0.08/4)] = 4.858 years

* It will take 4.858 years before the CD worth 8228.24

Answer:

I would say the second car.

Step-by-step explanation:

372/15.2 = 24 miles per gallon

198/7.2 = 27.5 miles per gallon

So the answer is the second car is better on gas mileage!

Kyle) y= x Larry) 4y= x^2

The algebraic expression to represent the number of dogs Larry walked compared with Kyle is 2x +4 .

An algebraic expression can be defined as a mathematical statement which includes , variables , constant and mathematical operators.

It is given in the question that

Larry was able to walk 4 more than twice as many dogs as his friend Kyle  have.

Let number of dogs Kyle has = x

and Let Larry walks y miles.

According to the  given data

y = 2x + 4

Therefore , the algebraic expression to represent the number of dogs Larry walked compared with Kyle is 2x +4 .

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Answer:

y=x+6

Step-by-step explanation:

If you need to find a standard linear equation from two points, you have to first find the slope, then find the y intercept.

To find the slope, you should do the change in y over the change in x.

that would be:

(4-9)/(-2-3)

(-5)/(-5)

the slope is 1

plug that in along with values of x and y taken from known point (3,9) to the standard equation of a linear relationship:

y=mx+b

m=1

y=9

x=3

b=?

9=(1)(3)+b

9=3+b

b=6

The equation of the line would be y=x+6

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Answer:

dfgedrgdrg32453245

Step-by-step explanation:4334534

rdgsdrg334523

45234453242

4

23

423

423

42

423

42

423

53465

I believe that the answer is A.

There are 26 letters in the alphabet, and 10 numbers to choose from: (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

To find the answer, I used 26 • 10 • 10, which ends up being 2,600.

The reason I did this is because you can choose any 1 of the 26 letter, followed by any 1 of the 10 numbers, followed by any 1 of the 10 numbers again.

To find out how many minutes it takes for 1 person to paint 1 wall, we can set up a proportion using the rate of 6 people painting 6 walls in 23 minutes. Cross-multiplying and solving for the unknown, we find that it would take approximately 3.83 minutes for 1 person to paint 1 wall.

This question falls under the subject of Mathematics and is suitable for students in Middle School. To solve this problem, we can use the concept of rate. We know that 6 people can paint 6 walls in 23 minutes.

We can set up a proportion to find out how many minutes it would take for 1 person to paint 1 wall. Let x represent the unknown time:

6 people / 23 minutes = 1 person / x minutes

Cross-multiplying, we get 6x = 23. Dividing both sides by 6, we find that x = 23/6. Therefore, it would take approximately 3.83 minutes for 1 person to paint 1 wall.

Remember to always read the question carefully and identify the given information and the unknown variable in order to solve the problem accurately.

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The time that it would take for 8 people to paint the walls would be 18 minutes.

The number of walls painted is proportional to the number of people painting, and the time it takes to paint the walls is inversely proportional to the number of people painting.

Using the following formula, we can calculate the amount of time it will take 8 people to paint the 6 walls:

Time = (Number of walls) / (Number of people) * Time per wall

Time = (6 walls) / (8 people) * 23 minutes/wall

Time = 18 minutes

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The full question is:

It takes 23 minutes for 6 people to paint 6 walls​. How long would it take 8 people to paint those same 6 walls

$1313.70 is the answer after a 51% markup

Final answer:

The selling price of a dining room set with a 51% markup on the selling price, and an actual cost of $870, is calculated to be $1775.51.

Explanation:

To determine the selling price of a dining room set with a 51% markup on the selling price based on the actual cost of $870, we first need to recognize the markup is on the selling price and not on the cost. Let the selling price be represented by the variable S. The markup can be represented by S multiplied by 51% (or 0.51), so we have:

Actual Cost + Markup = Selling Price

$870 + (0.51 × S) = S

To solve for S, we need to isolate it on one side of the equation:

$870 = S - (0.51 × S)

$870 = S(1 - 0.51)

$870 = S(0.49)

Now we divide both sides by 0.49 to solve for S:

S = $870 / 0.49

S = $1775.51

Therefore, the selling price of the dining room set at Macy's is $1775.51.

Answer:

27

Step-by-step explanation:

135 divided by 5 (divide both sides by 5)

Answer:

y=27

Step-by-step explanation:

First you have to leave y by itself. So since the y is with a constant (5) then that means that you have to bring 5 to both sides and divide it by 135.

5y=135, y=135/5=27

Answer:

The correct answer is option B.

x = 10 and y = 46

Step-by-step explanation:

From the figure we can see a trapezium.

To find the value of x

We can write,

2x - 13 = x - 3

2x - x = 13 - 3

x = 10

To find the value of y

from the figure we can write,

3y - 4 + y = 180

4y = 180 + 4

4y = 184

y = 184/4 = 46

Therefore the correct answer is option B

x = 10 and y = 46

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B

12 is equal to 4y, or 4(3)

you can multiply 4 by x to get 9 since they’re inversely proportionate.

Answer:

A) 1.

Step-by-step explanation:

y is inversely proporcional to x so the equation has the form:

y = c/x

With c been any constant, to find the value of c we use y=4 and x=3:

4 = c/3

c=4*3

c=12

So the equation is

y=12/x

Using y=12 to find x:

12=12/x

(12/12)=x

x=1

Answer:

[tex]g(x)=(x-8)^2-64[/tex]

Step-by-step explanation:

The given function is;

[tex]g(x)=-16x+x^2[/tex]

This is the same as;

[tex]g(x)=x^2-16x[/tex]

Add and subtract the square of half the coefficient of x.

[tex]g(x)=x^2-16x+(-8)^2-(-8)^2[/tex]

Observe that the first three terms is a perfect square trinomial.

[tex]g(x)=(x-8)^2-64[/tex]

The vertex form is [tex]g(x)=(x-8)^2-64[/tex]

The vertex (8,-64)

Answer:

The answer to your question is: D it has 3

Hope this helps!!!!

    - Aaliyah

Step-by-step explanation:

A data set has outliers if the data lie out side the interval

The interquartile range of a data set is

For option A, the required interval is [5.5, 25.5]. Since all the data lie in this interval, therefore this data set has no outliers.

For option B, the required interval is [-5, 19]. Since all the data lie in this interval, therefore this data set has no outliers.

For option C, the required interval is [-2.5, 17.5]. Since all the data lie in this interval, therefore this data set has no outliers.

For option D,

3, 6, 7, 7, 8, 8, 9, 9, 9, 10

(3, 6), 7, (7, 8),( 8, 9), 9,( 9, 10)

3 lies out side the interval [4,12]. It means this data set has an outlier, i.e,.

Therefore correct option is D.

Answer:

D

Step-by-step explanation:

Answer:

Obtuse isosceles

Step-by-step explanation:

Two sides are the same length, so we know this is an isosceles triangle.

To determine if it's acute, right, or obtuse, we can compare it to a right triangle using Pythagorean Theorem:

c² = a² + b²

c² = 3² + 3²

c² = 18

c = √18

So if this were a right triangle, c would be √18, which is somewhere between 4 and 5.

Since the long side is greater than √18, we know this must be an obtuse triangle.

So this is an obtuse isosceles.

Incorrect

1000g=1kg

Therefore we would need 100 beads with a mass of 10g to estimate a total mass of 1kg or 1000g

So the estimate of 10beads at 10g each is only about 100g or 0.1kg or 1/10kg

Answer:

Step-by-step explanation:

y=mx+b

8=-7m+b

2=0m+b

subtract

6=-7m

-6/7=m

2=0m+b

2=b

y=-6/7x+2

change to standard from

y+6/7x=2

Answer:

[tex]\frac{x^2}{400}+\frac{y^2}{625}=1[/tex]

Step-by-step explanation:

The equation of an ellipse that has its center at the origin is given by the formula:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2}=1[/tex]

The given ellipse is 50 units high.

This means that length of the major axis is 50.

[tex]2a=50[/tex]

[tex]2\implies a=25[/tex]

The ellipse is 40 units wide.

[tex]2b=40[/tex]

[tex]\implies b=20[/tex]

We substitute these values into the formula to get:

[tex]\frac{x^2}{20^2}+\frac{y^2}{25^2}=1[/tex]

[tex]\frac{x^2}{400}+\frac{y^2}{625}=1[/tex]

Answer: -3(5t+2

Step-by-step explanation:

Answer:

−3(5t+2)

Step-by-step explanation:

lets factor out "3" from -15t-6

so factoring out "3" would give you -3(5t+2)

you can check ur work by distributing "3" hope this helps!

Answer:

Is [tex]10^{6}[/tex] times greater

Step-by-step explanation:

Find the quotient of the two numbers

[tex]\frac{8*10^{5}}{8*10^{-1}}= \frac{8*10^{5}*10^{1} }{8}}=10^{6}[/tex]

therefore

Is [tex]10^{6}[/tex] times greater

[tex]8 \times 10^{5}[/tex] is 1,000,000 times as great as  [tex]8 \times 10^{-1}[/tex]

To determine how many times greater 8 x 105 is compared to 8 x 10-1, we can use the properties of exponents.

First, let's write each term in standard form:

[tex]8 \times 10^{5}[/tex]  = 800,000

[tex]8 \times 10^{-1}[/tex] = 0.8

Next, find the ratio of these two numbers:

Ratio = ([tex]8 \times 10^{5}[/tex] ) ÷ ([tex]8 \times 10^{-1}[/tex])

Using the division of exponents rule:

[tex]10^{5}[/tex] / [tex]10^{-1}[/tex]

= [tex]10^{5-(-1)}[/tex]

= [tex]10^{6}[/tex]

So, the ratio is 106, which is: 1,000,000.

Therefore, [tex]8 \times 10^{5}[/tex] is 1,000,000 times as great as [tex]8 \times 10^{-1}[/tex]

Question:

How many times is [tex]8 \times 10^{5}[/tex] greater than [tex]8 \times 10^{-1}[/tex]?

Answer:

0.953081279

Step-by-step explanation:

we have been given the following data set;

x; 4, 5, 8, 9, 13

y; 2, 9, 10, 12, 23

We are required to determine the r value of the data set.The r-value is the correlation coefficient that is used to measure the degree of association between two variables. It gives us information on the strength and direction of the association.

We can easily compute r in Ms. Excel;

We first enter the data into any two adjacent columns of an excel workbook.

Then we proceed to type;

=CORREL

into any blank cell. This is an in-built function that computes the correlation coefficient. Ms. Excel returns a value of  0.953081279

as the r value

Answer:

The value of r is 0.953.

Step-by-step explanation:

The correlation coefficient i.e. r is calculated by the formula,

[tex]r=\dfrac{n\sum{xy}-(\sum x)(\sum y)}{\sqrt{(n\sum x^2-(\sum x)^2)(n\sum y^2-(\sum y)^2)}}[/tex]

where n=5 is the sample size.

We create a table of required values,

         x        y          x²          y²           xy

        4        2         16           4             8  

        5        9         25         81            45

        8        10        64         100         80

        9        12         81         144         108

        13       23       169        529        299

∑      39      56        355       858        540

Substitute the values in the formula,

[tex]r=\dfrac{5\times 540-(39)\cdot (56)}{\sqrt{(5\times 355-(39)^2)(5\times 858-(56)^2)}}[/tex]

[tex]r=\dfrac{2700-2184}{\sqrt{(254)(1154)}}[/tex]

[tex]r=\dfrac{516}{\sqrt{293116}}[/tex]

[tex]r=\dfrac{516}{541.4018}[/tex]

[tex]r=0.9530[/tex]

Therefore, the value of r is 0.953.

Step-by-step explanation:

"Is" means equals.  "Less than" means subtracted from.

28 = k - 12

Add 12 to both sides to solve for k:

k = 40

The equation representing the statement '28 is 12 less than K' is 28 = K - 12. By adding 12 to both sides of the equation and simplifying, we find that K = 40.

To represent the statement '28 is 12 less than K' with an equation, you write: 28 = K - 12. To solve for K, you would add 12 to both sides of the equation.

Step 1: Add 12 to each side of the equation to isolate K.

28 + 12 = K - 12 + 12

Step 2: Simplify each side.

40 = K

Therefore, the value of K is 40.

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Answer:

104

Step-by-step explanation:

Answer:

104

Step-by-step explanatio

Answer:

Greg spent $6.00

Step-by-step explanation:

Agnes spent $10 for 5 feet of wood molding to frame a picture.

Greg bought one yard of the same molding.

1 yard = 3 feet

We will calculate the answer with unitary method.

∵  5 feet of wood molding costs = $10.00

∴ 1 feet of wood molding costs = [tex]\frac{10}{5}[/tex]

∴ 3 feet of wood molding costs = [tex]\frac{10}{5}[/tex] × 3 = $6.00

Greg spent $6.00 in the molding of 1 yard wood.

Answer:

$6

Step-by-step explanation:

I took the test .

Answer:

Step-by-step explanation:

Let x represent Jane's age

Let y reprsent her brother's age

x=3y-5

x=11-y

subtract

0=4y-16

-4y=-16

y=4

plug back into equation

x=3y-5

x=3(4)-5

x=7

Answer:

3,172

Step-by-step explanation:

The "Money saved that week" is an arithmetic progression, where the next term is found by adding a constant value to the previous term. In this case, the variation is 2.

So that could be modeled with this equation: [tex]a_{n} = a_{1} + (n-1)V[/tex]

Where a1 is the first term of the series, in our case: 10, and the V is the variation each week, in our case: 2.

To be able to calculate the overall sum and answer the question, we first need to calculate the amount she will save on the last week (n=52).

[tex]a_{52} = 10 + (52-1) * 2 = 10 + 102 = 112[/tex]

Now that we know she'll save $112 on the 52nd week, let's calculate the total, using this formula:

[tex]S_{n} = \frac{(a_{1} + a_{n}) * n}{2}[/tex]

We know n (52), a1 (10) and an (112), so...

[tex]S_{52} = \frac{(10 + 112) * 52}{2} = \frac{122 * 52}{2} = 3,172[/tex]

At the end of the year, she will have saved $3,172

Answer:

[tex]\boxed{\text{14 in}^{2}}[/tex]

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two cylinders.  

The ratio of the areas is the square of the scale factor.  

[tex]\dfrac{A_{1}}{ A_{2}} = C^{2}\\ \\\dfrac{224}{ A_{2}} = \left (\dfrac{1}{\frac{1}{4}} \right )^{2}\\\\\dfrac{224}{ A_{2}}= 16\\A_{2} = \dfrac{224}{16\\\\}[/tex]

A₂ = 14 in²  

The surface area of the new cylinder will be [tex]\boxed{\textbf{14 in}^{2}}[/tex].