You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?

Answer:

0

Step-by-step explanation:

This shows that she covered 0.4 miles in 10mins

Speed is defined as the rate of change of distance.

If it takes 24 minutes for jana to walk one mile, the rate of Jana is expressed as;

Rate= 24/1 mile

Rate = 24min/mile

In order to determine the distance she walk in 10 minutes, we will have;

Distance in 10min = 10/24

Distance in 10 min = 0.4 miles

This shows that she covered 0.4 miles in 10mins

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To minimize their royal costs to $200, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

Ratios are numerical relationships between variables that show how much each variable is contained in another.

Ratios are stated in fractions, percentages, or decimals.

Total songs to include in the song = 20

The ratio of Donovan and Beatles = 5:1.5

The number of Donovan songs to include = 15 (20/6.5 x 5)

The number of Beatles songs to include = 5 (20/6.5 x 1.5)

Royalty cost per Donovan song = $11

Royalty cost per Beatles song = $7

Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)

Thus, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

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Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.

AT 25 SQUARE FEET OF FLOORING

CHOOSE WOODY'S HARDWOOD FLOORING

Typically, the price of engineered hardwood flooring is $6 to $10 per square foot, plus $1.75 to $2.20 per square foot for installation. High-quality hardwood flooring typically costs between $6 and $13 per square foot from customers. Your home renovation project could be very stressful. Expectations, timeframes, budgets, and the cost of flooring contractors all need to be harmonized.

There will always be a time when you want to give up on the renovation project. For some reason, finding someone to install your flooring is usually the first step.

1 - 8s + 150 = 6s + 200

      2s = 50

         s= 25 sq.feet

2 - 120 * 8 + 150 = 1110

      120 * 6 + 200 = 920

1110 > 920

so choose woody's hardwood flooring.

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Answer: 51.96m

Step-by-step explanation:

We can solve this using cosine, remember SOHCAHTOA, so cos is adjacent over hypotenuse.

hyp = 60

adj = ?

[tex]cos = \frac{adj}{hyp}\\cos 30 = \frac{x}{60} \\\\cos30 *60=x\\x=51.96m[/tex]

After simplifying the expression √80y³, we get the answer as 4 y √5 y.

We are given that:

√80y³

We have to simplify it.

We will first make the factors of it.

Factors of 80:

80 = 2 × 2 × 2 × 2 × 5

Factors of y³:

y³ = y × y × y.

Now the expression can be re- written as:

√2 × 2 × 2 × 2 × 5 × y × y × y.

Simplifying it:

2 × 2 × y √5 y

4 y √5 y

Therefore, after simplifying the expression √80y³, we get the answer as 4 y √5 y.

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Answer:

22.2%

Step-by-step explanation:

Total number of people at the recreation center=81

Number of people swimming=18

=18/81 x 100

=22.22222

Round of to the nearest tenth

=22.2%

The given number is a real number.

A real number is a value of a continuous quantity that can be used to indicate a distance along a line in mathematics.

We are given the following in the question:

{natural​ numbers, whole​ numbers, integers, rational​ numbers, real numbers}

π / 108

We have to tell the type of number that describes the given fraction.

Evaluating the value, we have,

0.0290888208666...........

This is not a natural number or a whole number. This is not a rational number.

Since is an irrational number, thus quotient of an irrational number and a rational number is an irrational number.

Thus, it is a real number.

The complete question is given below:-

Choose the first set in the list of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that describes the following number. StartFraction pi Over 108 EndFraction.

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A positive association occurs when an increase in one variable is generally associated with the increase in the second variable and a negative association occurs when one variable tends to decrease as the other increases.

An association is any relationship between two factors that produces them subordinate, i.e. knowing the value of one variable gives us some data around the possible values of the moment variable.

The objective of this variable is to utilize clear measurements and visualisations to investigate affiliations among different kinds of factors.

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Answer:x=−19

Step-by-step explanation: work in your head ppl

Answer: -3

Step-by-step explanation:

trust me

Answer:

In one gram, there are 1000 milligrams.

To convert g to mg, multiply the gram value by 1000.

The midpoint of the line segment with the endpoints is (2.4, -1)

The endpoints are given as:

(3.2,2.5) and (1.6,-4.5)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (3.2 + 1.6, 2.5 - 4.5)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (4.8, -2)

Evaluate the products

So, we have:

Midpoint = (2.4, -1)

Hence, the midpoint of the line segment with the endpoints is (2.4, -1)

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Answer:

36

Step-by-step explanation:

The constant is the number when complete simplified, which in this case would be only formed by squaring the 6, equaling 36.

Hope this helps! :)

Answer: +36

Step-by-step explanation:

(x - 6)² simplified: x^2 -12x + 36

The constant in this algebraic expression is 36 because it's value or number doesn't change in the expression (x^2 -12x + 36)

Answer:

- 4/5 /decimal form -0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Answer is in the picture attached

Answer:

Hello,

Step-by-step explanation:

16)

Area of the square= 5²=25 (unit of square)

17)

Volume of the cube =3^3 =27 (unit of volume)

18)

side of the cube =5 (unit of lenght)

Volume of the cube = (5 (unit of lenght)) ^3

=125 * (unit of lenght)^3 =125 (unit of volume)

The possible denominators are {3, 9, 11, 33, 99}.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given that a and b are digits, not both nine and not both zero, and the repeating decimal.

⇒ 100x = ab⋅abababab

⇒ x = 0.abababab

Subtract the above equation from 100x = ab⋅abababab,

So  99x = ab

The denominator of this fraction will always be a divisor of 99 when represented in the lowest term = 3⋅3⋅11    

According to this, we have the options in the set. {1, 3, 9, 11, 33, 99}.  

Since a and b both are not both 9 and not both zero the denominator 1 cannot be possible.

Hence, the possible denominators are {3, 9, 11, 33, 99}.

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90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

What is a standard deviation?

Sample mean (T) = 13.11%

Sample standard deviation (s) = 2.6

Sample size (h) = 25

significance level = α = 1 -0.90 = 0.1

Degrees of freedom for t- distribution (df) = 24

Critical value = ta/2

df = [tex]t_{0.1}[/tex], df=24 = ±2.80

The margin of error (E) =[tex]t_\frac{a}{2} , df\frac{s}{\sqrt{h} }[/tex]

E=2.8X [tex]\frac{2.6}{\sqrt{25} }[/tex] =1.456

Limits of 90%. Confidence Interval is.

Lowest limit = X' - E = 13.11-1.456 = 11.65

Upper limit= X' + E = 13.11+1.456 = 14.566

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

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The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y).

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the phrase,

x over 4 = x/4

y over 3  = y/3

Combine x/4 + y/3

x over 3 minus y over 4 = x/3  - y/4

Therefore ;

(x/4 + y/3) ÷ (x/3  - y/4)

⇒ (3x + 4y)/12 ÷ (4x - 3y)/12

The second fraction will inverse in multiplication

⇒ (3x + 4y)/12 × 12/(4x - 3y)

⇒ (3x + 4y) / (4x - 3y).

Hence "The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y)".

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Answer:

A) 4

Step-by-step explanation:

First note that m cannot exceed 10 otherwise 100-m² will be negative and √(100-m²) will not be a real number much less an integer

Enumerate all values of m from 0 through 10, find the square, subtract from 100 and see if the result is a perfect square.- we take the square root and see if it is an integer value. The table below details everything. m and n are integers on in 4 cases m = 0, 6, 8 or 10.

Hence the answer is 4 solutions

m   m²    100-m²    √(100-m²)        

0 0 100        10

1 1 99

2 4 96         9.797958971

3 9 91         9.539392014

4 16 84         9.16515139

5 25 75         8.660254038

6 36 64         8

7 49 51         7.141428429

8 64 36         6

9 81 19        4.358898944

10 100 0        0

The solution of the linear equation:

-x/3 + 4 = 20

Is x = -48

Here we have the linear equation:

-x/3 + 4 = 20

And we want to solve it for x. Which means that we need to isolate x in one of the sides of the linear equation.

Remember that we can perform the same operation in both sides of the equation, so we start by subtracting 4 in both sides, then we get:

-x/3 + 4 - 4 = 20 - 4

-x/3 = 16

Now we can multiply both sides of the equation by -3, then we get:

-3*(-x/3)=  -3*16

x = -48

The solution of the linear equation is x = -48

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The statement ''The average age of the students in a statistics class is 20 years'' describes descriptive statistics.

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If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

[tex]P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188[/tex]

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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Answer:

What do I solve for with these functions?

Step-by-step explanation:

The dimensions of the rectangle are:

To find the dimensions of the rectangle:

Let,

Extend the area equation as follows:

Rearrange:

Substitute known information for A:

To solve quickly, factor the left side (or use the quadratic formula):

The factorial solutions for w are -2 and 7/2.

Assuming this is a genuine rectangle, the width must be positive.

As a result, the length is:

That is,

Therefore, the dimensions of the rectangle are:

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The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.

Answer:

Choice 3

Step-by-step explanation:

The graph fails the vertical line test.