mario's school is also planning a smaller rectangular are as a sitting spot. A scale drawing of the sitting sot is shown. redraw the sitting spot on the grid at a scale of i grid unit/4 feet.

write and simplify the ratio of the new scale

Answer:

Step-by-step explanation:

k = 0.2

In order to determine the total area of the sign, we need to calculate the area of the triangle, and the area of the semicircle. The expressions we need to use are described below:

We were given the diameter of the semicircle, it's radius is half of the diameter, therefore:

The base of the triangle is equal to the diameter of the semicircle. With this we can calculate both areas:

The total area of the figure is the sum of the above, therefore:

The area is approximately 50 in². The correct option is J.

Normal distribution of salaries

d = Standard dev = $7500 =

Correction factor= 0

Di

f(x) = (1/ d•√2π )• e ^- ((s- s')^2/2d^2)

Average value = u = 57337

Now calculate f(x)

Difference of salaries ,with respect to average

S^ 2= 57337 - 50000= = 7337

Now squared = (7337^2) = 53831569

d = 7500

2•d^2= 112500000

Then

S^2/ (2•d^2) = 53831569/112500000= 0.4785

Then now calculate

f(x) = (1/ d•√2π )•e^- (0.4785)

f(x)= 0.619/ (2•d^2)

Answer is

Probability of 61.9%

The number of quarts of blood in a person who weighs 120 pounds is  3.4

The expression can be written as

W= kV

W represents the weight in pounds

V= number of quarts

k= 140/4

= 35

The number of quarts of blood in a person that weighs 120 pounds can be calculated as follows

= 120/35

= 3.4

Hence 3.4 quarts of blood is gotten from a person who weighs 120 pounds. This was done by dividing 120 by 35

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A.The number of the possible access codes:

B. The probability of randomly select the correct access code on the first try:

C. The probability of not selecting the correct access code on the first try :

a. Distance travelled

Given that he rides at a constant speed and after riding for 5 hours, he had travelled 46.5 miles. Per review, the distance travelled is dependent on time hence distance or miles covered is the dependent variable

Explanation:

Let's see what's the value of the expression if we substitute a = 14:

So definetly Jayden's solution is not correct.

Let's check the second statement: that's what we just did - add the parentheses before dividing. If Jayden would've done that he would have arrieved at the same solution we did, so definetly this statement is false

The third statement could be true. Let's see which value of a gives 8.5 as a result:

If 'a' were 29.75, Jayden would be correct.

Let's see what happens if we divide 14 by 2 and then add 1.5:

This is the result Jayden got, so definetly this is one option for what he did wrong.

Answer:

• Jayden's solution is incorrect: ,true

• Jayden added in the parentheses before dividing:, ,false

• Jayden substituted the wrong value for a: ,true

• Jayden divided 14 by 2 and then added 1.5: ,true

A 56-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. The length of all the three pieces are : 7, 21, 18.

There are 3 pieces:

Length of first piece = x

Length of second piece = 3x

Length of third piece = 4x

Total length = 8x

Now, 8x = 56

Divide both side by 8x

x = 56 /8

x = 7

Length of second piece = 3x where x = 7

3x = 3 ( 7)

=  21

Length of third piece = 4x where x = 7'

4x = 4 ( 7)

=  28

Therefore we can conclude that the length are : 7, 21, 18.

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The correct options regarding the functions are given as follows:

1. C. y = -2x - 7/9, m = -2, b = -7/9.

2. A. y = 1400x + 5000, 10,600 lbs.

3. A. t = 0.75m + 12, $23.25.

4. A. y = (x - 2) - 3.

5. B. 302.5 miles.

In slope-intercept formula, a linear function is given as follows:

y = mx + b.

In which:

For this problem, the equation is:

-18x - 9y = 7.

Then:

9y = -18x - 7

y = -2x - 7/9, which slope -2 and intercept -7/9.

Thus option C is correct.

The table represents a linear function, in which:

Thus the function is:

y = 1400x + 5000.

In four weeks, x = 4, hence the amount is of:

y = 1400(4) + 5000 = 10600.

Which means that option A is correct.

Also a linear function, in which:

Hence the function is:

t = 0.75m + 12.

For 15 miles, the cost is given as follows:

t = 0.75(15) + 12 = $23.25.

Which means that option A is correct.

In this graph, we have a concave up parabola with vertex at (2,-3), hence the rule is:

y = (x - 2) - 3.

Which means that option A is correct.

The distance function after t hours is given by:

d = 45t + 100.

Hence, after 4.5 hours, as 1/2 = 0.5, the distance is of:

d = 45(4.5) + 100 = 302.5 miles.

Which means that option B is correct.

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The median is 6 in the given list of numbers

The list of numbers is 1, 2,​ 2, 3,​ 3, 3,​ 3, 5,​ 6, 8,​ 9, 10,​ 13, 18,​ 18, 19, 21

Formula: (n+1)/2th term

Median: The median of the data is the value of the middle observation found after sorting the data in ascending order. In many cases, it is challenging to evaluate the entire set of data for representation, and in these cases, the median is helpful.

where n is the number of items in the list of numbers

n = 17

Substituting the value in the formula we get:

(17+1)/2th term

= 9th term

9th term in the list is 6

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Answer:

7.875

Step-by-step explanation:

Given the equation x+2y=8

When x = -2

When x=0

When x=2

We then plot these points.

The quadratic function in standard form is g(x)= x²-10x+0

Quadratic functions are polynomial functions of the second degree, meaning they contain at least one squared term.

Quadratic functions are another name called quadratics. The quadratic function has the following general form: f(x)=ax² + bx + c.

An quadratic function is given as g(x)= x²-10x

In the standard form of the quadratic equation, there should be three terms, terms with power two, one and a constant.

In the given equation, there is a constant term missing.

So, we add a zero to the end because it brings no change to the function quantitatively.

So, the standard form of the given quadratic function will be g(x)= x²-10x+0

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The value of X = 21 .

The length of every closed shape's perimeter is its whole perimeter. This rectangular farm has two sides, with l being the bigger side and b being the smaller side. His farm's circumference may be calculated by adding the lengths of its four sides. Total distance = 2l + 2b (l + b + l + b). In light of this, a rectangle's perimeter is equal to 2 (l + b) units. The complete distance around a shape is referred to as its perimeter. It is any two-dimensional geometric shape's perimeter or outline length. Depending on the measurements, the perimeter of multiple figures may be equivalent. Consider a triangle that is constructed from an L-length wire as an example.

Permitter of square= 4(x)

y = side

y = 3x -9

4(3x -9) = 216

x = 21

Each side = 54

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When two planes  which are 2505 miles apart and fly toward each other. if their speeds differ by 85mph and If they pass each other in 3 hours, then the speed of first plane is 372.5 mph and the speed of second plane is 462.5 mph

Their speeds differ by 85mph

Consider the speed of first plane = x mph

The speed of second plane = 90+x mph

The relative speed = sum of both speed

= x + x+90

= 2x+90 mph

The distance between the planes = 2505 miles

Time taken to pass each other = 3 hours

Therefore in 3 hours

3(2x+90) = 2505

6x+270 = 2505

6x = 2505-270

6x = 2235

x = 2235/6

x = 372.5 mph

The speed of second plane = 90+x

= 90+372.5

= 462.5 mph

Hence, when two planes  which are 2505 miles apart and fly toward each other. if their speeds differ by 85mph and If they pass each other in 3 hours, then the speed of first plane is 372.5 mph and the speed of second plane is 462.5 mph.

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Ally has a square backyard with an area of 169 square feet.

Given a square of side length, s

Therefore:

Therefore, the length of one side of the backyard is 13 feet.

We know that he scored 879 points in 34 games, so we can calculate the average rate as:

At this rate, we can calculate the total points P by multiplying the rate r by the number of games n:

We can calculate how many games are needed for P=1500 as:

For n=82 games, the expected number of points P is:

Answer:

a) It will take him approximately 58 games to score 1500 points.

b) At this rate, he would score approximately 2120 points in the the entire season.

EXPLANATION

The equation x=-13 represents a vertical line.

Answer: I'm sure Option 4 Could help you find your answer.

Step-by-step explanation:

y=−6x+5−2x+y=5

Hope this helps.

From the given graph, let's find the slope of the line.

To find the slope of the line, apply the slope formula:

Take two points on the line:

(x1, y1) ==> (-6, 4)

(x2, y2) ==> (3, -2)

To find the slope, we have:

Therefore, the slope of the line is:

ANSWER:

Remember that a difference of squares can be written as the product of two conjugate binomials:

In the given expression, notice that m^4 and n^4 can be written as (m^2)^2 and (n^2)^2:

Once written as a difference of squares, we can factor the expression:

Therefore:

Answer:

See below.

Step-by-step explanation:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Transitive Property of Equality

If a=b and c=b, then a=c.

Proof that ∠1=∠2

[tex]\begin{array}{c|c}\sf Statement & \sf Reason\\\cline{1-2}\\ \angle 3 = \angle 4 & \textsf{Vertical Angle Theorem}\\\\AB \parallel CD & \textsf{Given}\\\\\angle 3 = \angle 2 & \textsf{Alternate Interior Angles Theorem}\\\\\angle 2 = \angle 4 & \textsf{Transitive Property of Equality}\\\\\angle 1 = \angle 4 & \textsf{Given}\\\\\angle 1 = \angle 2 & \textsf{Transitive Property of Equality}\\\\\end{array}[/tex]

32 ------------------ 100

24 -------------------- x

x = (24 x 100) / 32

x = 2400/32

x = 75%

To solve this problem use a rule of three

The number of hamburger is 350 and the number of cheeseburger is 282.

It should be noted that an expression is simply used to show the relationship between the variables.

In this case, the local hamburger shop sold a combined total of 632 hamburgers and cheeseburgers on Saturday and there were 68 fewer cheeseburgers sold than hamburgers.

Let Cheeseburger = x

Hamburger = x + 68

This will be:

x + x + 68 = 632

2x + 68 = 632

2x = 632 - 68

2x = 564

x = 564/2

x = 282

Cheeseburger = 282

Hamburger = x + 68 = 282 + 68 = 350

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we have

5 · 4 · -3 + 10 ÷ 2

Applying PEMDAS

P ----> Parentheses first

E -----> Exponents (Powers and Square Roots, etc.)

MD ----> Multiplication and Division (left-to-right)

AS ----> Addition and Subtraction (left-to-right)

step 1

Multiplication

5.4.-3=-60

substitute

-60+10÷ 2

step 2

Division

10÷ 2=5

substitute

-60+5

step 3

Addition

-55

therefore

Answer: m = -3/5

Step-by-step explanation:

Given

The final answer is 17 bunnies

1) Since the sine is the ratio between the opposite leg and the hypotenuse.

And the hypotenuse is always opposite to the right angle

Then we can write

2) The sine of ∠ U can be written as the following ratio

sine (∠U) = 24/25

sine(∠U)= 0.96