20 points!!
A EF = 22
B EF = 11
C EF = 16
D EF = 20

The length of the trail on the map would be 3.7 cm when a bike trail is 7.40km.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

On a map, 1.00 cm represents 2.00 km.

Let the required length of the trail on the map would be x cm, when a bike trail is 7.40km

As per the information, we can write the ratio would be as:

1.00 cm : 2.00 km = x cm : 7.40km

1/2 = x/7.40

Apply cross-multiplication operation, and we get

x = 7.40/2

x = 3.7

Thus, the required length of the trail on the map would be 3.7 cm.

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Required  the equation of the line is y = -5/7 *x -4.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

the line through the point (7,-9) with slope -5/7

so, m= -5/7

now, y= mx+c

solving with the given values we get,

c=  -9 +5

 = -4

Hence, Required  the equation of the line is y = -5/7 *x -4.

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Answer:

7.40

Step-by-step explanation:

4.58+2.82 = 7.40

The slope of the given situation of selling breakfast platters is 0.90.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

Given, the platter of 12 bagels costs $10.20.

The extra cost of  $4.65 for a gallon of coffee.

To find the slope of the situation, we convert the situation into the equation of the line.

y=mx+c

here c is the extra cost that is 4.65

12m=10.20

For 12 bagels , the cost is 10.20,

then the slope will be the cost of each bagel.

m=10.20/12

m=0.85

m=$0.85

Therefore, option c 0.85 is the slope of the given situation of the bakery selling the breakfast platter of 12 bagels and a gallon of coffee.

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Solution of 1 1/2 + 2 3/7 is 3 13/14

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given expression,

1 1/2 + 2 3/7

it can be written as

= 3/2 + 17/7

= (21 + 34)/14

= 55/14

= 3 13/14

Hence,  3 13/14 is the solution of 1 1/2 + 2 3/7

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By using the graph, the average rate of change of the function f from 2 to 5 is equal to -1.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function f from the graph over the interval [2, 5]:

a = 2; f(a) = 4

b = 5; f(b) = 1

Substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (1 - 4)/(5 - 2)

Average rate of change = -3/3

Average rate of change = -1.

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The price of vase next year is $2090.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

Given;

An antique vase costs $2000

Its price increases by 4.5%

Now,

Let the 4.5% of price be x

x*100/2000=4.5

x=20*4.5

x=90

Therefore, the price next year by 4.5 percent increase will be $2090.

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Answer:

Step-by-step explanation:

it equals 90

The cost of the packs of cards that Mike bought can be calculated by adding up the value of the coins he used to pay for them.

1 quarter is worth 25 cents.

2 dimes are worth 2 * 10 cents = 20 cents.

4 nickels are worth 4 * 5 cents = 20 cents.

4 pennies are worth 4 cents.

So, the total value of the coins that Mike used to pay for the packs of cards is 25 + 20 + 20 + 4 = 69 cents.

Therefore, the cost of the packs of cards that Mike bought was 69 cents.

The total amount to lay down the pebbles in the seating area would be - ${(A/5) x 8.99}.

Given is that one bag of pebbles covers 5 ft² and costs $8.99​​.

Assume that the area of the seating place is A ft². Now -

1 bag will cover - 5 ft²

1 ft² will be covered in (1/5) bags

A ft² will be covered in (A/5) bags

The total cost of laying the pebbles -

(A/5) x 8.99

Therefore, the total amount to lay down the pebbles in the seating area would be - ${(A/5) x 8.99}.

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Answer:

Below

Step-by-step explanation:

According to the triangle bisector theorem

x/18 = 45/20

x = 40.5 units

Answer:

a. To find the relative frequency of people that chose romance, we need to count the number of times the letter "R" appears in the given sequence and divide it by the total number of letters in the sequence.

The number of times "R" appears in the sequence is: R, R, R, R, R, R, H, R = 7

The total number of letters in the sequence is: 26

Relative frequency of people choosing romance = 7/26 = 0.269 or approximately 0.27.

b. To find the relative frequency of people that chose comedies, we need to count the number of times the letter "C" appears in the given sequence and divide it by the total number of letters in the sequence.

The number of times "C" appears in the sequence is: C, C, C, H, C, C, H, H, C, C = 9

The total number of letters in the sequence is: 26

Relative frequency of people choosing comedies = 9/26 = 0.346 or approximately 0.35.

c. To find the relative frequency of people that chose horror, we need to count the number of times the letter "H" appears in the given sequence and divide it by the total number of letters in the sequence.

The number of times "H" appears in the sequence is:

H, H, H, H, H, H, H = 7

The total number of letters in the sequence is: 26

Relative frequency of people choosing horror = 7/26 = 0.269 or approximately 0.27.

g. Based on the relative frequencies calculated, it can be seen that comedies is the most popular movie genre among the class, as it has the highest relative frequency of 0.35.

h. Based on the relative frequencies, it can be seen that romance is the least popular movie genre among the class, as it has the lowest relative frequency of 0.27. Hence, if we were having a party for the class, we would be least likely to pick romance as the genre of movie to watch.

Answer:

Step-by-step explanation:-46