23. Lisa has 240 stickers. She gave of it to Leela,to Pamela and kept the rest. How many stickers has Lisa now?​

Based on the features of a proportional graph: A. Yes, it is a proportional relationship because the line intersects with the point of origin (0, 0).

The graph of a proportional relationship is a straight line that must surely pass through the point of origin, (0, 0)

A proportional relationship between two variables x and y can be written in slope-intercept form as y = mx, where the slope or constant of proportionality is represented by the value of m.

The graph above shows a straight line that intersects the point of origin at (0, 0).

Since the line intersects (0, 0), we can conclude that: A. the graph shows a proportional relationship because the line intersects with the point of origin (0, 0).

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Answer:

√130

Step-by-step explanation:

                              |

          ?                  |         7

                              |

---------------------------

            9

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

√130 = c

I hope this helps!

A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds

B) The number of tons that the beverage cans are recycled in an average day is 2397 ton

C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg

The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.

In 2002 about 34 beverages can weigh one pound.

In one minute 113204 beverage cans are recycled.

In one hour, 60 minutes number of beverage cans recycled=113204×60

=6792240

34 beverage cans weight 1 pound

1 beverage cans weight=1/34 pounds

A) 6792240 beverage can weigh=1

=(1/34)(6792240) pound

=119771.765 pound

≈119772 pound

B) So, In 24 hours, no. of pounds recycled

=119772×24 pound

=119772×24×0.0005 ton

=2397.26 ton

≅2397 ton in one day.

C) So, In 24 hours, no. of tons recycled

=2397×24 ton

=2397×24×1000 kg

=57528000 kg

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Answer:

a. 1/2 or 50% b. 1/2 or 50%

Step-by-step explanation:

a. 1/2 of 50%

Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.

b. Stil 1/2 or 50%

The coin flips are not dependent, and they have 2 outcomes and 1 tails.

Stil 1/2

Ques) What is the symbol (∑)?

This symbol is used to denote the sum of multiple numbers.

This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.

In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean

Mean = ∑ x/n

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the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

What is principle interest ?

Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.

We will use the simple interest formula: A=P(1+rt)

where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.

A1=P(1+0.04*1) simplified: A1=P(1.04)

A2=2P(1+0.05*1) simplified: A2=2P(1.05)

because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.

A1+A2-P-2P=175 because the total income is $175.

Substituting in equations 1 and 2 we get:

P(1.04)+2P(1.05)-P-2P=175

1.04P+2.1P-3P=175

3.14P-3P=172

0.14P=172

P=1228.57

So, the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

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The measure of the numbered angles are:

m ∠1 = 42°

m ∠2 = 48°

m ∠3 = 132°

m ∠4 = 90°

From the question, we are to determine the measure of each numbered angle.

From the given information,

Line l is parallel to line m and line PQ is perpendicular to line RQ.

Since line PQ is perpendicular to line RQ,

Then, we can write that

48° + m ∠1 = 90°

m ∠1 = 90° - 48°

m ∠1 = 42°

Also,

Since line PQ is perpendicular to line RQ,

m ∠4 = 90°

Since line l is parallel to line m,

m ∠2 = 48° (Alternate interior angles)

m ∠3 + m ∠2 = 180° (Linear pair theorem)

m ∠3 + 48° = 180°

m ∠3 = 180° - 48°

m ∠3 = 132°

Hence, the measure of angle 3 is 132°

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The volume of copper needed to make such pot is 20πrh + 10πr² [tex](cm)^{3}[/tex]

The surface area of a three-dimensional object is the total area of all its faces. In real-life we use the concept of surface areas of different objects when we want to wrap something, paint something, and eventually while building things to get the best possible design.

The quantity of copper she needs to make such pot is same as the volume of copper need for such pot.

Volume = surface Area x thickness

Surface area had beemn given as 2πrh + πr²

thickness as 1mm = 10cm

Volume = 10(2πrh + πr²)

volume =  20πrh + 10πr² [tex](cm)^{3}[/tex]

In conclusion, the quantity of copper needed for the pot is  20πrh + 10πr² [tex](cm)^{3}[/tex]

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The surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.

Here, we are given a rectangular prism and a cube as shown in the figure below.

The three sides of the prism are- 2, 3 and 6

Thus, the total surface area of the cube will be-

2 [(2*3) + (3*6) + (6*2)]

= 2[6 + 18 + 12]

= 2*36

= 72 cm square

Now, the side of the cube is 3 cm

Thus, the total surface area of the cube will be-

6( 3*3 )

= 6*9

= 54 cm square

Thus, the difference between the surface area of prism and cube is = 72 - 54

= 18 cm square.

Thus, the surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.

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Your question was incomplete. Check for the missing figure below.

Work Shown:

P(D) = P(D and A) + P(D and B)

P(D) = P(D given A)*P(A) + P(D given B)*P(B)

P(D) = 0.6*0.5 + 0.7*0.5

P(D) = 0.30 + 0.35

P(D) = 0.65

The notation "P(D given A)" means that we follow the upper branch "A", and then go to sub-branch D to determine the 0.6; similar logic is applied for P(D given B).

The probability of getting D is 0.65.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have two events A and B.

So, P(D) = P (AD) + P (BD)

P(D) = P (0.5 x 0.6) + P (0.5 x 0.7)

P(D) = 0.30 + 0.35

P(D) = 0.65

Thus, the probability of getting D is 0.65.

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The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.

The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.

Here,

The correlation coefficient= 0.923

The percent of variation,

=correlation coefficient²*100

=0.923²*100

=85.192%

=85.2%

When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.

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Answer: 2

Step-by-step explanation:

Answer:

your answer is 5.

Step-by-step explanation:

This is an exterior angle because x and y=180.

now let us pretend those sides are z. Each side is equal.

So x=z

so z=y

now 180/3 is 60

so x or z is 60.

now we use exterior angle and now we do 180-60 is 120.

SO

X=60

Y=120

now we make sure by z times 2 should equal y and z=x and x=60 and 60 time 2 is 120 so it is correct.

Answer:

8.m = ∞

9.[tex]m=\frac{20c-39}{54}[/tex]

Step-by-step explanation:

8.The equation is a vertical line, so the slope is ∞

so the answer for 8. is m = ∞

9.Switch sides:

2.7m + 1.95 = c

Multiply both sides by 100:

2.7m · 100 + 1.95 · 100 = c · 100

Refine:

270m + 195 = c · 100

Move 195 to the right side so it would be: 270m = c · 100 - 195

And now Divide both sides by 270

[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]

And now all that's left is to Simplify it

so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]

The expression that represents the perimeter of the rectangle is 8x - 14

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Length of rectangle(L) = x - 4

Width of rectangle(W) = 3x - 3

Perimeter of rectangle = 2(L + W)

L =  x - 4, W = 3x - 3

Perimeter of rectangle = 2( x - 4 + 3x - 3)

Perimeter of rectangle = 2( 4x - 7) which is 8x - 14

In conclusion 8x - 14 is the expression for the perimeter of the rectangle

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Answer:

3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.

Step-by-step explanation:

the slope of a line ("m" in the given point-slope form) is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

we got 2 points already identified :

(-3, -4) and (1, 4).

x changes by +4 (from -3 to 1).

y changes by +8 (from -4 to 4).

the slope m is then

+8/+4 = 2

let's use e.g. (1, 4) as given point for the point-slope form (but you can use also the other, or any point on the line) :

y - 4 = 2(x - 1) = 2x - 2

y = 2x + 2

-2x + y = 2

and that is the standard form.

Answer:3.2

Step-by-step explanation:

The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a box of cereal states that there are 99 calories in a ​3/4 cup serving.

The number of calories per cup is calculated as,

3 / 4 cup = 99 calories'

1 cup = 99 x (4 / 3 )

1 cup = 132 calories

The number of calories for 4 cups of cereal,

1 cup = 132 calories

4 cup = 132 x 4 calories

4 cup = 528 calories

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

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The equation of the line that passes through the point (-4,8) and has a slope of -1 is y = -x +4

What is the equation of a line?

A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.

Here, we have

point (-4,8) and slope = -1

If we have a non-vertical line that passes through any point(x₁, y₁) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

This is the required equation of a line in a point-slope form.

We know that Point-Slope Form:

y - y₁ = m(x- x₁)  

Where x₁ - x coordinate and y₁ - y coordinate

m - slope

Point (-4,8)

Then Slope m = -1

Now the equation as;

y - 8 = -1(x+4)

y  = -x -4+8

y = -x +4

Hence, the equation of the line that passes through the point (-4,8) and has a slope of -1 is; y = -x+4

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The sampling technique that Dr. Choi is using is given as follows:

Stratified random sampling.

The sampling techniques are described as follows:

In this problem, the population is divided into three groups, listed as follows:

An equal amount of each group was sampled, hence a stratified sample was used.

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Its X = 15/4 first divide both sides by 4 then simplify
answer X  = 15/4

=====================================================

Work Shown:

|4x| + 1 = 25

|4x| = 25-1

|4x| = 24

4x = 24 or 4x = -24

x = 24/4 or x = -24/4

x = 6 or x = -6

------------------

Check:

Let's plug x = 6 into the original equation and simplify both sides.

|4x| + 1 = 25

|4*6| + 1 = 25

|24| + 1 = 25

24 + 1 = 25

25 = 25

This confirms x = 6 is a solution.

The steps for x = -6 will be very similar.

Answer:

460000 milligrams converted to pounds would be 1.01 pounds.

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Line d:

m = 4-9/2-6 = -5/-4 = 5/4

Line e:

m = 7-3/10-5 = 4/5

It would be neither because if it was perpendicular, one of the slopes' would have to be negative.

Answer: omm

but I need this so

Step-by-step explanation:

RA ≅ RB . Option A is correct.

In a triangle if any of the two angles are equal, then the sides opposite to the equal angles are also equal.

Given,

          ∠RAB ≅∠RBA

Also, side opposite to  ∠RAB is side RB

and, side opposite to  ∠RBA is side RA

Hence, side RA and side RB are equal.

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Answer:

x = 2

Step-by-step explanation:

If it is a vertical line, then is is x = something (the point where the line is). If it is a horizontal line, then it is y = something (the point where the line is).

The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.

A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.

The following straightforward procedure may be used to find other palindromes given any set of integers.

Start with any number in step one. Identify it as original number. Reverse the original number's digits.

Call the number whose numbers have been reversed in step two. The new number should be added to your original one.

Call the number discovered by combination of the new number with the test number.

Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.

How to solve?

Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.

As per the question d=7, c=f-1 and,

b=7-3 = 4.

Since the number is palindrome so b=f. Therefore f=4.

Now, c=f-1 => c = 4-1 = 3, and c = e = 3.

Also, a=2c => a=6.

Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.

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