use the figure to complete the following statements

There are 6984 inverse proportional relationships and the direct proportional relationships are 97/72.

Given that:

Kelly has 97 apples, and Jason has 72.

The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.

Y/X = k

Substitute the given X and Y values ​​and solve for k.

Suppose, Y = 97, X = 72

then k = 97/72

Distinguish a proportional relationship from other relations, including an inverse relationship (XY = k or Y = k/X).

An inverse proportional relationship is one in which two quantities vary inversely with respect to each other. We say that the variable Y changes inversely with X if

Y = k/X

Substitute the given X and Y values ​​and solve for k.

Suppose, Y = 97, X = 72

then k = 97 x 72

=> k = 6984

Hence, there are 6984 inverse proportional relationships and direct proportional relationships are 97/72 between Kelly which has 97 apples, and Jason which has 72.

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hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)

A. 8%

B. 39.6%

C. 58.4%

step by step:

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

Answer:777

Step-by-step explanation: I do not care

There are 333 pages are in my book.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are more than 200 pages but fewer than 800 in my book.

And, All the digits of my number are the same and the number is divisible by 9.

Now,

Let a number with three same digit = xxx

So, We get;

200 < xxx < 800

Since, the number is divisible by 9.

So, By the rule of the number divide by 9, we get;

x + x + x = 9k

3x = 9k

for k = 1;

x = 3

Thus, Number of pages = 333

Therefore,  

There are 333 pages are in my book.

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An ordered pair which makes both inequalities true is: C. (1, 2).

In this exercise, we would test each of the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-1, 3), we have:

y < 5x + 2

3 < 5(-1) + 2

3 < -5 + 2

3 < -3 (False).

For ordered pair (0, 2), we have:

y < 5x + 2

2 < 5(0) + 2

2 < 0 + 2

2 < 2 (False).

For ordered pair (1, 2), we have:

y < 5x + 2

2 < 5(1) + 2

2 < 5 + 2

2 < 7 (True).

y > x/2 + 1

2 > 1/2 + 1

2 > 3/2 (True)

For ordered pair (2, -1), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

-1 > 2/2 + 1

-1 > 2 (False)

For ordered pair (2, 2), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

2 > 2/2 + 1

2 > 2 (False)

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Answer:

B , C

Step-by-step explanation:

Which ordered pairs make both inequalities true? Select two options.

y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.  

(–1, 3)

(0, 2)  

(1, 2)

(2, –1)

(2, 2)                                                                                          Edge  2022

The value of x is 4 for the isosceles triangle has a base that measures x+2 with legs that measure 4x-3 and 2x+5.

Therefore, an isosceles triangle has two equal sides as well as two equal angles. An equilateral triangle is one in which all of its sides are equal, and a scalene triangle is one in which none of its sides are equal. The characteristics of an isosceles triangle are as follows: There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

Here,

Since the adjacent sides of isosceles triangles are equal,

4x-3=2x+5

4x-2x=5+3

2x=8

x=4

The isosceles triangle has a base that measures x+2 and legs that measure 4x-3 and 2x+5, so x is equal to 4.

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Answer:

The decemial is 7

Step-by-step explanation:

0.7. Because 04 plus 0.3 equal to 0.7

Bisector-When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector.

What are the steps to create a bisector?

By following these steps to create a bisector in the provided curve:-

1) Join the extreme points and make a line.

2) By using compass, take width as length of a line joined in step 1.

3) Draw a curve taking extreme points.

4) Draw a line from the intersection of the curve to the line.

The above following steps should be performed  error free and you will get bisector.

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Answer: The total price is $478.06

Step-by-step explanation:

For this we use regular price of the suit as x

x is 100% of the price therefore 62% of x=296.4

Now we cross multiply

62 × x = 100 × 296.40

62x = 29,640

Now that we got rid of those complicated percentages we simply divide both sides by 62 to isolate x

29,640/62 = 478.064516129

Since we are working with dollars and cents that do not get smaller than .01 we can shave off all the extra decimals near the end

478.06

The regular price is $478.06

Now we just check our work to prevent any awkward and simple mistakes

478.06 x .62 = 296.3972 or 478.06 x .62 = 296.39

Keep in mind the one cent difference is because we shaved off the extra decimals at the end

Hope this helps!

Answer: you are left with 17.1 or 17.10

HOW TO:  picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?

Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.

From the provided data, we have

number of meatloafs = 5

Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.

net weight of the contents of 1 canister = 15 ounces

1 cup = 8 ounces

1.25 cups = 10 ounces

10 ounces of breadcrumbs makes 1 meatoafs.

but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10

= 50

If we consider 4 canisters then

15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.

and if we are consider 3 canisters then

15 ounces × 3 canisters = 45 ounces which is not enough.

So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.

approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .

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Complete question:

you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?

First, determine what information you need to answer this question, then click here to display that info (along with other info).

How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.

How many servings does that recipe make? It says it serves 10.

How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.

What is the net weight of the contents of 1 canister? 15 ounces.

How much does a canister cost? $2.39

How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.

Answer:

13

Step-by-step explanation:

To evaluate meant to find its Value at the givens

At a = 1 , b = -3 , c = - 1

[tex]b^{2}-4ac=(-3)^{2} -4*1*-1=9+4=13[/tex]

Glad to Help

The measure of width of given figure is 2 units. Therefore, option B is the correct answer.

From the given figure, the length is 9 units and the width is 1 unit.

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects. For example, a rectangle has its dimensions as length and breadth.

From the figure, the width is 1+1=2 units

The measure of width of given figure is 2 units. Therefore, option B is the correct answer.

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Answer:

$6.50

Step-by-step explanation:

3.50(2)+2x+2.50(3)=26.50

6.00+2x+7.50=26.50

13.50+2x=26.50

2x=13.00

x=6.50

x - intercept is at ( 1, 0 ) graph intersect at x = 1 .

What are intercepts?

Domain - values of x on  x -axis taken by function

                - ( 0,5 )

Range = values of y on  y -axis taken by function

          = (-  ∞ , 2 )

           = ( as, x ⇒ 0 then graph goes below

b) x - intercept is at ( 1, 0 ) graph intersect at x = 1

          no y - intercept is there .

c) graph is not symmetric .

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If a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter

The hypotenuse of the right triangle = 10 centimeter

The measure of angle = 40  degree

Here we have to use the trigonometric functions

sin θ = Opposite side / Hypotenuse

Substitute the values in the equation

sin 40 = Opposite side / 10

Opposite side = 10 × sin 40

= 6.43 centimeter

Similarly

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos 40 = Adjacent side / 10

Adjacent side = 10 × cos40

= 7.66 centimeter

Hence, if a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter

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Answer:

m∠DGB = 108°

Step-by-step explanation:

          If the non-common arms of two adjacent angles form a straight line, then the adjacent angles are called linear pair and they add up to 180°.

m∠AGD + m∠DGB = 180°   {Linear pair}

      72    + m∠DGB = 180

                 m∠DGB = 180 - 72

                 m∠DGB = 108°

Answer:

Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)

Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2

Answer:

Step-by-step explanation:

18x+15. Step-by-step explanation: 5(4x+3)-2x. Distribute the 5. 20x +15 - 2x. Combine like terms. 20x-2x +15.

Answer:

x=81

steps

From the concept of similarity

Answer:  love

Step-by-step explanation:  love

The equation for the quadratic graphed is [tex]2x^{2}+4x+2[/tex].

Let the quadratic equation be [tex]y =a x^{2}+bx+c[/tex]

Points given in graph,

A(-1,0), B(-2,2), C(0,2)

Put the values in quadratic equation

For C(0,2)

[tex]2 =a(0)^{2}+b(0)+c[/tex]

[tex]2 = 0+0+c[/tex]

c = 2

For A(-1,0)

[tex]0 =a(-1)^{2}+b(-1)+2[/tex]

[tex]a-b+2 = 0[/tex]

a - b = -2              ...........(i)

For B(-2,2)

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

[tex]4a-2b+2=2[/tex]

2a - b = 0            ............(ii)

Solving eq (i) and (ii)

a = 2

b = 4

Putting the value of a, b and c in quadratic equation,

[tex]y =2x^{2}+4x+2[/tex]

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Answer:

That doesn't even make any sense you can't simplify or solve for anything if there isn't the right equation???????

Step-by-step explanation:

The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

[tex]P(X=r)={}^{n}C_{r}(p)^r(1-p)^r[/tex] where [tex]x=0,1,2,3.....[/tex]

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - [tex]^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}[/tex]

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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Answer:

0.386 kiloliters

Step-by-step explanation:

because I used the calculator all I gotta do is divide the volume :)

The number of cans that are recycled is approximately 1 billion cans in 1 week.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that  51.9 billion aluminum cans were recycled.

Therefore, the rate of recycled the can is;

51.9 billion / 1 year

We know that 1 year has 52 weeks

Then

51.9 billion / 1 year  x  1 year / 52 weeks

= 51.9 (1) billion / 1 (52 ) weeks

= 51.9 billion/ 52 weeks

= 1 billion/ 1 week

Hence, the number of cans that are recycled is approximately 1 billion cans in 1 week.

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The composite figure has a total area of 12 square centimeters.

In this problem we find the area of a composite figure, which is the result of subtracting the areas of four triangles of same dimensions from the area of the entire square. Now we proceed to determine the area:

A = (6 cm)² - 4 · 0.5 · (2 cm) · (3 cm)

A = 36 cm² - 2 · (12 cm²)

A = 36 cm² - 24 cm²

A = 12 cm²

The area of the composite figure is 12 square centimeters.

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Answer:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160

Step-by-step explanation:

Answer: $195.70

Step-by-step explanation: