For an activity in class, student used pieces of string to measure road on a map. They used a map scale to determine the distance between two cities. One group measured the distance between Fort Myers and Miami on a Florida state map. The string distance was 7.75 inches, which represents a real-life distance of about 155 miles. Another group measured the distance between Tampa and Orlando on the same map and found that distance to be 4.25 inches. What is the real-life distance to the nearest mile between Tampa and Orlando

Answer:

Step-by-step explanation:

5/6b+5-2/3b-2

    1/6B+ 3

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

Answer:

can we have more info please?

Step-by-step explanation:

Answer:

The amount charged for a hamburger is $11

Step-by-step explanation:

The function relating the amount d charged with the number of hamburgers is;

d = 3h + 8

The amount charged for a hamburger can be calculated by substituting the value 1 for h

Thus, we have;

d = 3(1) + 8 = $11

Answer:

The three sides have the same length.

Step-by-step explanation:

Answer:

B. Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

I think,  :-P

Answer:

Step-by-step explanation:

P=2x+2y+4

y=p/2-x-2

The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Solve for y P=2x+2y+4

From the data given in the question:

The linear equation is:

P=2x+2y+4

To solve for make the subject as y:

2y = P - 2x - 4

y = (1/2)[P - 2x - 4]

Or

y = P/2 - x - 2

Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius

Given

radius of Earth r1 = 6,371.0 kilometers

the radius of Earth's Moon r2 = 1,737.5 kilometers

The difference in their circumference will be expressed as;

C = 2π(r1-r2)

C = 2π(6371.0-1737.5)

C = 2π(4633.5)

C = 2(3.14(4633.5))

C = 29,098.38km

C = 29,098.4

Hence the difference in their circumference to the nearest km is 29,098.4km

Answer:

We calculate for the circumferences of Earth and moon by using the equation,

                               C = 2πr

For Earth,

                               C = 2π(6371 km) = 40030.2 km

For Moon,

                              C = 2π(1737.5 km) = 10917.0 km

The difference between the two circumferences is 29113.2 km approximately.

Answer:

15 white cubes

Step-by-step explanation:

Given

[tex]White\ Cubes = -1[/tex]

[tex]Black\ Cubes = +1[/tex]

[tex]Number\ of\ Black\ Cubes = 15[/tex]

Required

Determine the number of white cubes needed to represent 0

To solve this question, we make use of the following equation.

[tex]Black\ Cubes +White\ Cubes = 0[/tex]

If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15

Substitute +1 * 15 for the Black Cubes

[tex]+1 * 15 +White\ Cubes =0[/tex]

[tex]+15 +White\ Cubes =0[/tex]

Collect Like Terms

[tex]White\ Cubes = 0 - 15[/tex]

[tex]White\ Cubes = - 15[/tex]

Recall that 1 white cube is worth -1

So, the number of white cubes is:

[tex]Number = \frac{-15}{-1}[/tex]

[tex]Number = 15[/tex]

Hence, the student needs 15 white cubes

Answer:

Step-by-step explanation:

Let's solve for x.

y+2x=−1

Step 1: Add -y to both sides.

2x+y+−y=−1+−y

2x=−y−1

Step 2: Divide both sides by 2.

2x

2

=

−y−1

2

x=

−1

2

y+

−1

2

Answer:

x=

−1

2

y+

−1

2

Answer:

Answers below

Step-by-step explanation:

Q1.  2x=−1−y

=

​2

​

​−1−y

​​

Q2.     −x=4−3y

x=−4+3y

x=3y−4

Answer:

42sq

Step-by-step explanation:

       5:7

30 sq: x sq

30/5=6 sq for 1 of the ratio

6*7=42 sq for 7 of the ratio

Answer:

x= 19/7

Step-by-step explanation:

Answer:

I think A but I might be wrong

Answer: There are 80 students.

Step-by-step explanation: 20x4=80

3x4=12

12+80=92

Answer:

y= -2x- [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

3y+2=-6x

3y=-6x-2

y= [tex]\frac{-6}{3}[/tex]x - [tex]\frac{2}{3}[/tex]

y= -2x - [tex]\frac{2}{3}[/tex]

You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.

Step-by-step explanation:

7x+3 = 8x +1

x=2

the answer is 2

Answer:

The lower right table

Step-by-step explanation:

The table of that's the right answer consists of f(x) and x points that when plugged into the equation make the equation equal.

Let's go through each of the tables to check.

Upper Left Table:

(Remember that f(x) and y are interchangeable)

- Let's plug in the first paired set (0,6) into the equation

[tex]y = -2x + 6 \\6 = -2(0) + 6\\6 = 6[/tex]

So, this one seems right so far. It also let's us eliminate some answers!

The upper right and lower left tables can't be right because in order for the equation to be equal, f(x) has to be 6 when x equals 0

Let's plug more paired sets into the equation from the upper left table

[tex]y = -2x + 6\\10 = -2(2) + 6 \\10 = -4 + 6 \\10 = 2[/tex]

This doesn't work so let's check to see if the lower right table is correct!

[tex]y = -2x + 6 \\2 = -2(2) + 6\\2 = -4 + 6\\2 = 2[/tex]

Since the equation is equal, this has to be the right answer!

Hope this helps!!

- Kay

Answer:

9x$1.92

Step-by-step explanation:

Answer:

y=2x-8

Step-by-step explanation:

gradient = 1-6 / -6-4

= 2

y=2x+c

substitute one of the points

4=2*6+c

c=-8

y=2x-8

hahahahahahahahahahahahahahah

The number is 16

PS: had to type more than 20 words

Answer:

16

Step-by-step explanation:

80 X 20 = 16 questions answered correctly.

Answer:

4/5

Step-by-step explanation:

1 - 2/10 = 8/10 = 4/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You have [tex]\frac{2}{10}[/tex] ( divide numerator and denominator by 2 ), that is

[tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

I do not understand thank you for asking

Step-by-step explanation:

thank you

Answer:

B (2,22)

Step-by-step explanation:

Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

Answer:

11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.

12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.

Step-by-step explanation:

Always remember that linear tables, graphs, etc have a constant rate of change.

Hope this helps you

Answer:

$2.50 per ounce

Step-by-step explanation:

12.50÷5= 2.50

Answer:

$2.50c

Step-by-step explanation:

Answer:

Answer B. 4

Step-by-step explanation:

Equations

Solve the equation:

5x - 2( 2x - 1 ) = 6

Operate the parentheses:

5x - 4x + 2 = 6

Collect like terms:

x + 2 = 6

Subtract 2:

x = 6 - 2

x = 4

The value of x is 4

Answer B. 4

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST