No scale is shown on this map of a wilderness area. The distance between Rose Lake and the main road is 3.5 mi. On the map it is 2 in. The distance from Rose Lake to the hiking trail is 4 in. What is the actual distance in miles between Rose Lake and the hiking trail?

Answer:

6

Step-by-step explanation:

divide 36 by 6

Hello

This type of question can be formed into a division problem

36/6

= 6

6 band members are in each row

:)

Jason is making a mistake in calculating the distance between the two points on a coordinate plane. The correct formula to find the distance between two points is the distance formula, which uses the Pythagorean theorem.

Jason is making a mistake in calculating the distance between the two points. The formula to find the distance between two points in a coordinate plane is the distance formula, which uses the Pythagorean theorem. The correct formula is:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Using the formula with the points (4, 4) and (-4, -4), the distance should be:

Distance = sqrt((-4-4)^2 + (-4-4)^2) = sqrt((-8)^2 + (-8)^2) = sqrt(64 + 64) = sqrt(128) = 8*sqrt(2)

So the distance between the two points is 8 times the square root of 2, not just 8. Jason made a mistake by adding the absolute values of the coordinates instead of using the distance formula correctly.

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1) Divide both sides by 3

3(5x+3)=114

2) Move constant to the right side and change it's side

5x+3=38

3) Subtract the numbers

5x=38-3

4) Divide by sides by 5

5x=35

5) The answer is x=7

Hope I could help! :)

Hey mate !!

Answer

= 5x +3=114/3

Simplify 114/3 to 38

= 5x+3=38

Subtract 3 from both sides

=5x=38-3

Simplify 38-3=35

5x=35

Divide both sides by 5

X= 35/5

Simplify 35/5 to 7

X=7

Answer confirmed = x=7

Hope this helps you!

4-2x≤-3 so basically you are trying to find x so the best inequality for this equation would be less than or equal to  hoped this helped have a great day :)

Answer:

4 - 2x < 3

Step-by-step explanation:

Given,

The measured temperature in Toronto = 4°C,

∵ the temperature started dropping 2°C every hour,

So, the decrement in temperature after x hours = 2x degree celsius,

∴ The total temperature after x hours = original temperature - decrement in the temperature,

= 4 - 2x

According to the question,

Total temperature would be below -3°C,

4 - 2x < 3

Which is the required inequality.

*(Variables)*=

The Brothers Age = x

*(Step-By-Step Instructions)*=

[tex]x[/tex]·[tex]3[/tex]≤[tex]24[/tex]          Write an inequality                                                          

[tex]x[/tex]≤[tex]8[/tex]                               Divide 3 to 24

*(Answer)*= [tex]x[/tex]≤[tex]8[/tex]

Hope this helps

Person who answered: BangtanBoyScouts

The difference between whole numbers and integers is that whole numbers do not include negative numbers, whereas integers do. Therefore, the same rule used by integers can be used with whole numbers, so long as negative numbers are not used.

The rule for subtracting integers applies to whole numbers because whole numbers are integers. In subtraction, we change the sign of the subtracted number and then add, a principle that works with both negative and whole numbers.

The rule for subtracting integers can indeed be used to subtract whole numbers because whole numbers are a subset of integers. Integers include all positive whole numbers, zero, and their negative counterparts. When we look at the subtraction of integers, for example, 5 - 3 = 2, we can also see this as adding the opposite, 5 + (-3) = 2. Similarly, if you subtract a negative number, like subtracting -6 from 2, it becomes 2 - (-6) = 2 + 6 = 8. Hence, even with whole numbers, we are using the same principles.

When subtracting whole numbers, you follow the same process: change the sign of the number being subtracted and proceed with addition. If the numbers have different signs, you subtract the smaller number from the larger and retain the sign of the larger number. The basic principle to use in working with addition and subtraction of integers is changing subtraction into addition and the paying attention to the signs.

The universality of mathematical rules applies regardless of where or when, meaning subtraction of whole or negative numbers follow the same fundamental principles.

Just like you drew those dotted lines. You know how to find the areas of rectangles which is A=length x width

The answer would be 20cm^2+6cm^2+18cm^2=44 cm^2

You would divide it into smaller shapes and then find the area then add them all up.

4*5=20

3*2=6

3*6=18

20+6+18=34cm^2

the length of each equal side is 10 ft

the length of the third side is 2 ft

let x be the length of the third side the equal sides are 4x + 2

given perimeter == 22, then

x + 4x + 2 + 4x + 2 = 22

9x + 4 = 22 ( subtract 4 from both sides )

9x = 18 ( divide both sides by 9 )

x = 2 and 4x + 2= 10

The length of the third side (base) of the isosceles triangle is 2 feet, and the other two equal sides are each 10 feet long, with the perimeter totaling 22 feet.

To solve for the lengths of the sides of an isosceles triangle given its perimeter, we can set up an equation. Let's denote the length of the third side (base) as x feet.

Since the triangle is isosceles, we know that the other two sides (legs) have equal lengths, each being 2 feet more than 4 times the length of the third side. Therefore, these equal sides are each 4x + 2 feet long. The perimeter of the triangle is the sum of the lengths of all three sides, which is given as 22 feet.

So, the perimeter equation is:
x + (4x + 2) + (4x + 2) = 22
This simplifies to:
9x + 4 = 22
Solving for x, we get:
x = 2 feet.

Now we know the third side (base) is 2 feet long. The length of each equal side can now be calculated:
4(2) + 2 = 10 feet.

Therefore, the length of each equal side is 10 feet and the length of the third side is 2 feet.

Answer:

The n-th term for the sequence will be:  [tex]n^2+4n+2[/tex]

Step-by-step explanation:

Given sequence is:  7, 14, 23, 34, 47. 62, 79, ........

The n-th term of a quadratic sequence is:  [tex]t_{n}=an^2 +bn+c[/tex]

For [tex]n=1[/tex]....

[tex]t_{1}=a(1)^2+b(1)+c\\ \\ a+b+c=7 .............................(1)[/tex]

For [tex]n=2[/tex]....

[tex]t_{2}=a(2)^2+b(2)+c\\ \\ 4a+2b+c=14 .............................(2)[/tex]

For [tex]n=3[/tex]....

[tex]t_{3}=a(3)^2+b(3)+c\\ \\ 9a+3b+c=23 .............................(3)[/tex]

Subtracting equation (1) from equation (2), we will get......

[tex]3a+b=7..........................(4)[/tex]

Subtracting equation (2) from equation (3), we will get.......

[tex]5a+b=9..........................(5)[/tex]

Now, subtracting equation (4) from equation (5)...........

[tex]2a=2\\ \\ a=\frac{2}{2}=1[/tex]

Plugging this  [tex]a=1[/tex] into equation (4), we will get....

[tex]3(1)+b=7\\ \\ 3+b=7\\ \\ b=7-3=4[/tex]

Now, plugging [tex]a=1[/tex] and [tex]b=4[/tex] into equation (1) .........

[tex]1+4+c=7\\ \\ 5+c=7\\ \\ c=7-5=2[/tex]

Thus, the n-th term for the sequence will be:  [tex]n^2+4n+2[/tex]

To find the nth term of a quadratic sequence, we can follow these steps:

Step 1: Find the first difference.
To do this, we calculate the difference between the consecutive terms of the sequence.

14 - 7 = 7
23 - 14 = 9
34 - 23 = 11
47 - 34 = 13
62 - 47 = 15
79 - 62 = 17

Now we have the first difference sequence: 7, 9, 11, 13, 15, 17.

Step 2: Find the second difference.
If it's a quadratic sequence, the second difference should be constant. That is, the difference of the first difference sequence should be the same. Let's calculate it.

9 - 7 = 2
11 - 9 = 2
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2

Great, our second difference is constant and equal to 2.

Step 3: Create the general quadratic formula.
Quadratic sequences are defined by the formula:
a_n = an^2 + bn + c

Since the second difference is constant and equal to 2, we know that 2a should be equal to the second difference. Therefore, a is half of the second difference.

a = 2/2 = 1
So our sequence has the form:
a_n = n^2 + bn + c

Step 4: Find b and c.
We use the given terms from the sequence to find the values of b and c. We know that the first term (when n=1) is 7.

a_1 = 1^2 + b(1) + c = 7
1 + b + c = 7
b + c = 6 ... [1]

We also know that the second term (when n=2) is 14.
a_2 = 2^2 + b(2) + c = 14
4 + 2b + c = 14
2b + c = 10 ... [2]

At this point, we have two equations with two variables. We can resolve this system of equations to find b and c.

Step 5: Solve the system of equations.
We can subtract equation [1] from equation [2] to find the value of b.

(2b + c) - (b + c) = 10 - 6
2b - b + c - c = 4
b = 4

Plug the value of b into either equation [1] or [2] to find c.

b + c = 6
4 + c = 6
c = 6 - 4
c = 2

Step 6: Write down the nth term formula with the found coefficients a, b, and c.
a_n = n^2 + 4n + 2

Therefore, the nth term of the quadratic sequence 7, 14, 23, 34, 47, 62, 79 is a_n = n^2 + 4n + 2.

The mean [tex]\mu =11.5[/tex] pounds;

the standard deviation is [tex]\sigma =2.7[/tex] pounds.

Let the variable [tex]X[/tex] be the weight of male babies less than 2 months old. It is normally distibuted with a law

[tex]X\sim N(11.5, 2.7^2).[/tex]

Find the variable

[tex]Z=\dfrac{X-\mu}{\sigma},[/tex] that is normally distributed with a law

[tex]Z\sim N(0, 1).[/tex]

Part A.

If X=15 pounds, then

[tex]Z=\dfrac{15-11.5}{2.7}\approx 1.2963[/tex] and

[tex]Pr(X<15)=Pr(Z<1.2963)\approx 0.9032[/tex]

Part B.

If X=15 pounds, then

[tex]Z=\dfrac{15-11.5}{2.7}\approx 1.2963.[/tex]

If X=13 pounds, then

[tex]Z=\dfrac{13-11.5}{2.7}\approx 0.5555[/tex] and

[tex]Pr(13<X<15)=Pr(0.5555<Z<1.2963)\approx 0.9032-0.7123=0.1909[/tex]

Part C.

If X=17 pounds, then

[tex]Z=\dfrac{17-11.5}{2.7}\approx 2.0370[/tex] and

[tex]Pr(X>17)=Pr(Z>2.0370)=1-Pr(Z<2.0370)\approx 1-0.9793=0.0207.[/tex]

This means that approximately 2% of babies are born with weight more than 17 pounds and, therefore, seems to be quite unusual for a baby.

Using standard normal distribution properties, we calculate that about 90.32% of babies weigh less than 15 pounds, around 19.07% of babies weigh between 13 and 15 pounds and just 2.07% of babies weigh more than 17 pounds, which is considered unusual.

These questions are solved using the properties of the normal distribution. The standard score (or z-score) is calculated with the formula z = (x-μ)/σ where x is the value, μ is the mean, and σ is the standard deviation.

For babies that weigh less than 15 pounds: Z = (15-11.5)/2.7 = 1.30. You then use a standard normal table (also called a z-table) to find the proportion associated with this z-score, which is about 0.9032. Therefore, about 90.32% of babies weigh less than 15 pounds.

For babies that weigh between 13 and 15 pounds you need to find the z-scores for both weights and identify the difference. Therefore, for 13 pounds, z = (13-11.5)/2.7 = 0.56, and for 15 pounds z=1.30 as calculated before. The odds of a weight between the two is approximately 0.9032 - 0.7125 = 0.1907. So, about 19.07% of babies weigh between 13 and 15 pounds.

For a baby to weigh more than 17 pounds, you again calculate the z-score which results in z = (17-11.5)/2.7 = 2.04. The proportion associated with this z-score is about 0.9793 but since we want to find the proportion of babies weighing more than 17 pounds we do 1 - 0.9793 = 0.0207 meaning only about 2.07% of babies weigh over 17 pounds. This is well below 5%, so it is considered unusual.

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Answer:

8.26 that's what i think it is

The estimated value can be given by 21.76

To solve this expression, let's just:

[tex]\\\large \sf 102.3 \div 4.7 = 21.7659574468\\[/tex]

We can make the approximation to the first two numbers after the point, thus having the result

[tex]\red{\boxed{\large \sf \approx 21.76}}[/tex]

So, the answer will be 21.76

Answer:

20

Step-by-step explanation:

To create a line segment that is twice as long as a given segment, use a compass and straightedge to draw two intersecting arcs and connect the intersection point with one endpoint of the given segment.

To create a line segment that is twice as long as a given segment using a construction tool or a compass and straightedge, follow these steps:

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A number is 2/3 of another number.  Both added together equals 50.

One of these numbers consists of three parts, and the other consists of two of those three parts.  So, there are 5 equal parts in total.

Thus we need to divide 50 by 5.  50 divided by 5 equals 10.

The first number, which has three parts, is 30.  The second number, which as two parts, is 20.

I hope this makes sense to you.  :D  Good luck in all your studies!

To find the numbers, we solve an equation by combining like terms and finding the value of x. The numbers are 30 and 20.

Let's call the first number x. The second number is 2/3 of x, so we can represent it as (2/3)x. The sum of the numbers is 50, so the equation becomes:

x + (2/3)x = 50

To solve for x, we can simplify the equation by finding a common denominator and combining like terms:

Now that we have the value of x, we can substitute it back into the equation to find the value of the second number:

(2/3)x = (2/3)(30) = 20

Therefore, the numbers are 30 and 20.

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Because the distance to both chords are the same (5.70) and both chords are 90 degrees from the 5.70 line, both chords are identical.

Chord AB = 5, so chord CD is also 5.

The answer will be 5.

Answer:

i realy need help with this one

Step-by-step explanation:

Answer:

I will work for [tex]8\frac{4}{5}[/tex] hours.

Step-by-step explanation:

Total working period = time to prepare arena + time spent in ticket office + Time spent in gig

= [tex]2\frac{1}{4}+2\frac{1}{2}+3\frac{3}{5}[/tex] hours

= [tex]\frac{9}{2}+\frac{5}{2}+\frac{18}{5}[/tex]

= [tex]\frac{45+25+18}{10}[/tex]

= [tex]\frac{88}{10}[/tex]

= [tex]\frac{44}{5}[/tex] [division by 2 to denominator and numerator both]

= [tex]8\frac{4}{5}[/tex]

I will work for [tex]8\frac{4}{5}[/tex] hours.

X=2:        16+5-10=11 21-10=11=11=11

Combine Like Terms: 11 = 8x + 5 - 5x

First combine the ones with variables:

11 = 3x +5

Then combine ("move") 5 to 11.

6=3x

Divide.

Final Answer

2=x

Hope that helps :)

-edited-

The probability that all seven arrows will not hit the bullseye is 1 2/5

Probability calculate how likely it is for an event to occur. The chances of an event occurring is between 0 and 1. The value of the event is one if the event happens and zero if the event does not happen.

For example the probability that it would rain everyday of the week lies between 0 and 1. If it rains, a value of 1 would be attached to the event and if it does not rain all the days of the week a value of zero would be attached to the event.

Probability all seven arrows does not hit the bullseye = number of arrows x probability of one arrow not hitting the bullseye

Probability that one arrow does not hit the bullseye = 1 - 4/5

5/5 - 4/5 = 1/5

Probability = 1/5 x 7 = 7/5 = 1 2/5

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bi(two)...sector(section).  Bisector cuts the segment into two equal sections.  

BC = CD             definition of perpendicular bisector

BC + CD = BD    segment addition postulate

CD + CD = BD   substitution

2CD = BD          added like terms

2CD = 16           substitution

  CD = 8            division property of equality

CD = y + 3         given per graph

y  + 3 = 8           transitive property

  y = 5               subtraction property

Answer: 5

Correct answer:

2.32 x 10^8

10^8 + 6 - 6 = 10^8

and

(1.6)(5.8)

(4)

= 9.28

4

= 2.32

thus,

2.32 x 108

mark Brainliest?

Answer:

Assuming each person gets the same amount of apples, each friend gets 3.6875lbs of apples.

Step-by-step explanation:

Now in order to find this, we need to note that 4 people get apples (Kenneth and 3 friends). So we take the total number of pounds and divide it by 4.

14.75lbs/ 4 people = 3.6875lbs per person

Hey there!!

The total number of people are '4 people

The weight is shared equally among all the 4 people.

The total weight is 14.75 pounds.

What is the weight of each person?

∴We know everyone has the equal weight.

... person + person + person + person = 14.75

... 4 × person = 14.75

... person = 14.75 / 4

... person = 3.68

Hence, the weight of apples each get is 3.68 pounds.

Hope my answer helps!!

Charges per load = $5.25

Total money = $31.50

As the situation says that charges are 5.25 and one has a total money of 31.50 so lets suppose the total load one has be 'w'

so equation becomes:

[tex]5.25w\leq31.50[/tex]

solving it we get, [tex]w\leq6[/tex]

So, option C is the correct answer.

Answer:

Hypotenuse, AB = 7.61 cm

Step-by-step explanation:

In the given figure it is given that, ABC is a right angled triangle with base length BC = 3 cm and perpendicular distance AC = 7 cm. We have to find the length of hypotenuse i.e. AB

The length of hypotenuse is solved using Pythagoras theorem. The mathematical expression for the Pythagoras theorem can be written as :

[tex]AB^2=AC^2+BC^2[/tex]

[tex]AB^2=7^2+3^2[/tex]

[tex]AB^2=58[/tex]

AB = 7.61 cm

So, the length of the hypotenuse of the triangle is equal to 7.61 cm    

8 + 3 *X = 2^2 + X^2

Simplify:

8 + 3x = 4 +x^2

Subtract x^2 from each side:

8 + 3x - x^2 = 4

subtract 4 from each side:

8 + 3x -x^2 -4 = 0

Simplify:

3x - x^2 +4 = 0

Factor

-(x-4)(x+1) =0

X = 4, -1

The answer would be 4.

Hi Slyther,

Answer - B. 4

8 + 3 * x = 2^2 + x^2

8 + 3 x 4 = 2^2 + 4^2

8 + 12 = 4 + 16

20 = 20

Answer:

c

Step-by-step explanation:

c

Final answer:

To find the coordinates of point C between points A and B given the ratio AC=1/4AB, determine the coordinates, with C being at (10.75, 7.5).

Explanation:

Coordinates of point A: A(8,6)

Coordinates of point B: B(-3,0)

Given AC = 1/4 AB, we can find the coordinates of point C by solving for the coordinates based on the ratio:

Calculate the difference in x-coordinates: 8 - (-3) = 11

Calculate the difference in y-coordinates: 6 - 0 = 6

Coordinates of point C: C(8 + 1/4*11, 6 + 1/4*6) = C(10.75, 7.5)