A map of a highway has a scale of 2 inches = 45 miles. The length of the highway on the map is 8 inches. There are 17 rest stops equally spaced on the​ highway, including one at each end. You are making a new map with a scale of 1 inch =30 miles. How far apart are the rest stops on the new​ map?

Answer:

Step-by-step explanation:

i guess converges

a) Ninety percent is not a trustworthy estimate of the percent of all students who are outraged.

It is important to note that a sample of 5000 responses, while large, may not necessarily be representative of the entire population of students. The sample may have biases or limitations that affect the results of the survey. For example, the survey may have only been distributed to certain groups of students or there may have been a higher response rate from students who are particularly passionate about the issue.
In order to accurately estimate the percent of all students who are outraged, a representative sample of the entire population of students would need to be surveyed, and the survey would need to be designed and administered in a manner that minimizes biases and limitations.

Learn more about statistics here: brainly.com/question/29093686

#SPJ4

Complete question:

The university newspaper posts a survey question to its readers asking for opinions on the recently approved increase in fees for parking in a garage. The newspaper receives more than 5000 responses and reports that 90% of students are outraged over the approval of the garage parking fee. Which of the following is true?

a) Ninety percent is not a trustworthy estimate of the percent of all students who are outraged.

b) Ninety percent is an accurate estimate of the percent of all students who are outraged, since the sample size is so large.

[tex]2x+2y=-8 \implies x+y=-4 \implies y=-4-x[/tex]

We can substitufe this result into the second equation.

[tex]-10x-5(-4-x)=-5 \\ \\ -10x+20+5x=5 \\ \\ -5x+20=5 \\ \\ -5x=-15 \\ \\ x=3 \implies y=-4-3=-7[/tex]

[tex]\therefore[/tex] The solution is [tex](3,-7)[/tex].

The positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians, which is equal to 59.8°.

To find the positive angle in radians that is coterminal with −143 radians, we must first convert the negative angle to its equivalent positive angle. The angle −143 radians is equivalent to the angle 2π - 143 radians. We can calculate this by using the formula 2π + x = 2π - |x|, where x is the given angle. In this case, x = −143. Applying this formula, we get 2π + (−143) = 2π - |−143| = 2π - 143. This is the equivalent positive angle of the given negative angle. To find the positive angle that is coterminal with the positive angle we just found, we must subtract it from 2π until we get a value that is between 0 and 2π. To do this, we subtract 2π - 143 from 2π until we get a value that is between 0 and 2π. After subtracting 2π - 143 from 2π multiple times, we get the result 1.057 radians, which is equal to 59.8°. Therefore, the positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians.

Learn more about angle here

https://brainly.com/question/29588072

#SPJ4

(a + b) * (a + b) = a * a + a * b + a * b + b * b = [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex]

This is an example of how the final result can end up with only three terms.

When you multiply two binomials, the result can sometimes have fewer than four terms because some of the terms may be combined or simplified.

The reason for this is that when you multiply two binomials, you use the distributive property, which states that you can multiply each term in one binomial by each term in the other binomial. The product of each pair of terms is a term in the final result.

For example, if you multiply (a + b) and (c + d), the final result will have four terms:

(a + b) * (c + d) = a * c + a * d + b * c + b * d

However, if one of the terms in either binomial is equal to zero, then the product of that term and the other term will be equal to zero, and that term will not appear in the final result:

(a + b) * (0 + d) = a * 0 + a * d + b * 0 + b * d = a * d + b * d

This is an example of how the final result can end up with only two terms.

Another way the final result can end up with only two terms is if two of the terms are equal to each other. When this happens, you can add them together and simplify the expression:

(a + b) * (a + b) = a * a + a * b + a * b + b * b = a^2 + 2ab + b^2

This is an example of how the final result can end up with only three terms.

To learn more about binomials:

https://brainly.com/question/29260188

#SPJ4

The ratio of wins to losses is 5:6.

The ratio of losses to ties will be 3:2

The ratio of losses to games played will be 2:5.

The ratio of wins to games played will be 1:3.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

The ratio of wins to losses is:

= 10 / 12

= 5:6.

The ratio of losses to ties will be:

= 12 / 8

= 3:2

The ratio of losses to games played will be:

= 12 / (10 + 12 + 8)

= 12 / 30

= 2:5.

The ratio of wins to games played will be:

= 10 / 30

= 1:3

The ratio of children to adult will be:

= 165 / 66

= 5:2

The ratio of good bothes to games boothes will be:

= 6/15.

= 2:5

The ratio of children to games booths will be:

= 165 / 15

= 11:1

The ratio of female lions to make lions will be:

= 20 / 8

= 5:2

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer: n=8

Step-by-step explanation:

7n-2=6n+6

add 2 to 6 and subtract 6 from 7

this gets you n=8

Becca hit 21 + 7 = 28 home runs.

The addition is the method of adding two or more entities together. In math, addition is the procedure of calculating the sum of two or more numbers.

It is a preliminary arithmetic operation that is typically used in our day-to-day life. One of the most common uses of addition is when we deal with money, calculate our bills, or calculate time.

The addition is an operation used to sum up, numbers. The result that is received after addition is known as the sum of the given numbers.

For example, if we wish to calculate the Becca hit, we would add the Beverly hit and 7.

To know more about arithmetic operation, here

https://brainly.com/question/25834626

#SPJ4

--The given question is incomplete; the complete question is

"Becca hit 7 more home runs than Beverly. Beverly hit 21 home runs. How many runs did Becca hit?"--

Answer:

b = 93° , c = 87°

Step-by-step explanation:

b and 93° are vertically opposite angles and are congruent , then

b = 93°

c and 93° are a linear pair and sum to 180° , that is

c + 93° = 180° ( subtract 93° from both sides )

c = 87°

Answer:

b=93

c=87

Step-by-step explanation:

1. For b, the angle is 93 degrees because of the vertical angle theorem, where two straight lines intersect, forming two sets of linear pairs with congruent angles.

Therefore, that angle is 90 degrees.

2. For c, use the given angle that is provided, since angle C and the given angle are supplementary (equaling 180 degrees), we can subtract the total (180) from the part (93)

180 - 93 = 87

Answer:

e = 190

Step-by-step explanation:

Rearrange to:

e/(-95)+6-(4)=0

Now we simplify, and get this:

(e/-95 + 6) - 4 = 0

Rewrite the equation to get this:

6 = 6/1 = 6x(-95)/-95

after adding fraction with a common denominator we get:

(570 - e)/95 - 4 = 0

Rewrite the whole as an equivalent fraction:

4 = 4/1 = 4x95/95

After adding fractions with a common denominator we get:

190-e/95 = 0

Now we must get the numerator to equal 0:

190-e/95 x 95 = 0 x 95

We get:

190 - e = 0

So we solve:

-e + 190 = 0

Subtract 190 from both sides:

-e = -190

Multiply both sides by (-1):

e = 190

The graph of one period of: y = -8 cos 5x is graph (a)

From the question, we have the following parameters that can be used in our computation:

y = -8 cos 5x

Tto graph one period of y = -8 cos 5x, we use the following

Connect the maximum and minimum points with a smooth curve to form one period of the function.

In this case, the graph is (a)

Read more about trigonometry at

https://brainly.com/question/24349828

#SPJ1

Answer:

2.29

Step-by-step explanation:

add the 2 numbers in decimal form then divide by 2

Step-by-step explanation:

The potential energy of an object can be calculated as the sum of its kinetic and gravitational potential energy. At its highest point, the ball has zero kinetic energy, so the potential energy is equal to its gravitational potential energy.

The gravitational potential energy of an object is given by:

PE = m * g * h

where m is the mass of the object (7 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height above a reference point. In this case, the reference point is the ground, so h = 100 m.

Substituting in the given values, we find:

PE = 7 * 9.8 * 100 = 686 J

This is the potential energy of the ball at its highest point.

Answer:

answeransweransweranswer is 686 Joules(J)

Step-by-step explanation:

Answer:

i think the answer is (2x+4)

The percent reduction in the price of the car is given as follows:

12%.

The percent reduction in the price of the car is obtained applying the proportions in the context of this problem.

A proportion is applied because the percentage reduction is obtained dividing the reduction by the initial value, and then multiplying by 100%.

The parameters for this problem are given as follows:

Hence the percent reduction is given as follows:

1416/11800 x 100% = 12%.

The problem asks for the percent reduction in the price of the car.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The area of the square block is 48,881 m2, which is calculated by multiplying the length of each side (221 m) by itself.

The area of a square can be calculated by multiplying the length of one side by itself. In this case, the length of each side is 221 m. To find the area of the square block, we need to multiply 221 m by itself. This gives us 48,881 m2 as the final answer. To summarize, the area of the square can be found by multiplying the length of one side by itself. In this case, the length of each side of the block was 221 m, so 221 m multiplied by 221 m results in a total area of 48,881 m2.

The complete question: In one city there are four straight streets that form  a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.

Learn more about length here

brainly.com/question/8552546

#SPJ4

Answer:

26 students

Step-by-step explanation:

We know

The ratio of students failing the test to students passing the test was 2/9

For every 11 students, 2 students fail the test, and 9 passes it.

2:9 = 11

143 students took the test. How many did not pass?

To get from 11 to 143, we time 13. To find how many did not pass, we take

2 times 13 = 26 students did not pass the test.

So, 26 students did not pass the test.

The greatest common factor (GCF) of 18, 30, and 54 is 6.

The greatest number that divides two or more numbers without leaving a residue is known as the GCF.

The prime factorization approach is the most effective way to resolve this issue.

Using this technique, you will first determine the largest common factor amongst each number's prime factors.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 30 is 2 x 3 x 5. The prime factorization of 54 is 2 x 3 x 3 x 3.

The largest common factor amongst all of them is 6, which is the GCF.

To learn more about factor, visit the link below:

https://brainly.com/question/26923098

#SPJ4

Answer:

you have it correct sir

Step-by-step explanation:

We can start by finding the diameter of the larger pizza in inches:

41.91 cm ÷ 2.54 cm/inch = 16.5 inches (rounded to one decimal place)

The diameter of the larger pizza is about 16.5 inches. Using this value, we can find the circumference (length of the crust) of the larger pizza using the formula:

C = πd

where C is the circumference and d is the diameter.

C = 3.14 × 16.5 inches

C ≈ 51.81 inches (rounded to two decimal places)

Therefore, the length of the crust around the larger pizza is about 51.81 inches.

The number of cattle would be 136,000 and the comparable ratio would be 4/10.

When we compare two ratios, they are said to be equivalent.

To determine whether two or more ratios are equivalent, they can be compared to one another.

For instance, ratios 1:2 and 2:4 are equivalent.

Equivalent ratios are two ratios with the same value.

By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.

Finding equivalent fractions follows the same procedure.

So, an equivalent ratio is required by the question.

This refers to a fraction that is equal to 2/5 of the fraction between 700 and 799.

We multiply the numerator and denominator by the same amount to produce an equivalent fraction.

When we divide both by 2, we get:

(2*2)/(5*2) = 4/10

While working with thousands, tenths are helpful since subtracting a zero when taking a tenth makes it usable.

As a result, 1/10 would equal 34000, and 4/10 would equal four times that: 4(34000) = 136000.

Therefore, the number of cattle would be 136,000 and the comparable ratio would be 4/10.

Know more about equivalent ratios here:

https://brainly.com/question/2328454

#SPJ1

Complete question:

There were about 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700- 799 pounds. How many of the 340,000 cattle placed on feed were between 700-799 pounds?

Weight Group. Fraction of total cattle

less than 600. 1\5

pounds.

600-699. 11/50

700-799. 2\5

800. 9\20

The length, width, and height of the right square prism are all equal to 7units, i.e., 7units * 7units * 7units.

The volume of a right square prism can be expressed as the product of its length, width, and height. If the volume is 360 cubic units, and the prism is a square prism, then we can assume that its length, width, and height are all equal, so we can call them x. The volume formula can be expressed as:

V = x * x * x = 360

Taking the cube root of both sides of the equation, we get:

x = ∛(360) = 7.11

The cube root of 360 is approximately 7, so the length, width, and height of the square prism are all equal to 7 units.

Learn more about right square prism here brainly.com/question/13885011

#SPJ4

Answer: search it up

Step-by-step explanation:

The graph that represents the situation on the gymnast paying membership for yoga is Graph C.

The equation given for the amount spent in total by the gymnast is y = 10 + 20 x. What this means is that even if the gymnast takes no classes, he still has to pay the monthly fee of $ 10.

The graph should therefore begin at $10. If the gymnast takes 1 class, then the total cost for the month is:

= 10 + 20 ( 1 )

= $ 30

This is shown in the third graph so this is the correct graph.

Find out more on graphs at https://brainly.com/question/25184007

#SPJ1

The initial graph shows [tex]f(x)= 2(3)^{x}[/tex]

A function is a mathematical object that assigns a unique output (or "value") to each input in its domain. It is a rule that takes an input (or "argument"), performs some operations on it, and returns a corresponding output. Functions are often written using the notation f(x), where x is the input, and f(x) is the corresponding output. For example, the function f(x) = x^2 maps the input value x to its square. Functions are a key concept in mathematics and are used to model various phenomena in science, engineering, economics, and more.

The function provided is,

[tex]f(x)= 2(3)^{x}[/tex]

making x = 1

[tex]f(x)= 2(3)^{1}=f(x)= 2(3)=6[/tex]

The point (1, 6) that is (x, f(x)) must therefore satisfy the condition or be on the curve of the function.

The point (1, 6) only lies on the curve in the first graph.

As a result, the first graph accurately depicts the function.

To know more about graph visit:

https://brainly.com/question/29183673

#SPJ1

Answer:

To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country. If the number of unemployed workers decreased from 5.3 million to 3.9 million, then the decrease is 5.3 million - 3.9 million = 1.4 million.

The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.

So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.

Therefore, the answer is:

D. It increased by about 2%.

The solution is: D. It increased by about 2%.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country.

If the number of unemployed workers decreased from 5.3 million to 3.9 million,

then the decrease is 5.3 million - 3.9 million = 1.4 million.

The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.

So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.

Therefore, the answer is:

D. It increased by about 2%.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ5

Answer:

[tex]1 \frac{7}{12} [/tex]

Step-by-step explanation:

First you subtract the whole numbers

4-3

Then you

Subtract the fractions which will give 7/12

Combining them together we get

[tex]1 \frac{7}{12} [/tex]

Answer:

10^(3m-2n)

Step-by-step explanation:

Whenever we divide powers, we subtract them.

1000^m can be written as 10^3 (10×10×10)

100^n can be written as 10^2 (10×10)

So, we get 10^3m (m is multiplied by the power of 3) and 10^2n (n is multiplied by the power of 2).

So, the answer would be 10^(3m-2n).

Answer:

m-n/2

Step-by-step explanation:

we are here given that,

[tex]\longrightarrow \log_{a}(15)=m [/tex] and ,

[tex]\longrightarrow \log_{a}(5) = n [/tex]

Taking the first given equation, we have;

[tex]\longrightarrow \log_{a}15=m \\ [/tex]

[tex]\longrightarrow \log_{a}(5\times 3) = m\\[/tex]

[tex]\longrightarrow \log_a 5 + \log_a 3 = m [/tex]

now substitute the value from second equation,

[tex]\longrightarrow n + \log_a 3 = m \\ [/tex]

[tex]\longrightarrow \log_a(\sqrt3)^2 = m - n \\ [/tex]

[tex]\longrightarrow 2 log_a \sqrt3 = m - n \\ [/tex]

[tex]\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} [/tex]

And we are done!