Determine the given lengths in the rectangle

Variable and Coefficient of the given algebraic expression 3b + 6 is b and 3 respectively.

A variable is a symbol or letter that represents a value that can change or vary in a given context. Variables are often used to represent unknown or changing quantities in equations,

A coefficient is a numerical factor that is multiplied by a variable or variables in an algebraic expression. In other words, it is the number that appears in front of a variable.

3b + 6 identify the first term of the algebraic expression. Indicate whether the term is a variable term or a constant term. For a variable term, identify the variable and the coefficient of the term:

The first term of the algebraic expression 3b + 6 is 3b.

This is a variable term because it contains the variable "b".

The variable is "b" and the coefficient of the term is 3.

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Answer: 29 yards

Step-by-step explanation:

    First, we want to find how much she spent. We will subtract the leftover from the original amount.

$15 - $9.49 = $5.51 spent

    Next, we will convert this value into cents.

$5.51 = 551 cents

    Last, we will divide this by the price per yard to find how many yards she bought.

551 / 19 = 29 yards

Answer:

29 yards

Step-by-step explanation:

$15.00 - $9.49= $5.51

$5.51 divide by .19 per yard = 29

The coordinates of the other endpoint are (17, 3).

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2):

Midpoint R = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Next, we would determine the coordinate of MP with midpoint M at (7, 3) as follows;

12 = (7 + x₂)/2

24 = 7 + x₂

x₂ = 24 - 7

x₂ = 17.

For the other co-ordinate of P on line segment MP, we have:

3 = (3 + y₂)/2

6 = 3 + y₂

y₂ = 6 - 3

y₂= 3.

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Answer:

(2.571, 10.143)

Step-by-step explanation:

Answer:

(4, 3) ordered pair

Step-by-step explanation:

Rearranging the two equations making y the subject of the equations:

[tex]y = -5x + 23[/tex] —-(equation i)

[tex]y = 2x - 5[/tex] ——-(equation ii)

Equating equation i to equation ii and solve for x. Bring all the like terms together:

[tex]2x - 5 = -5x + 23[/tex]

[tex]= 2x + 5x = 23 + 5[/tex]

[tex]= 7x = 28[/tex]

x = [tex]\frac{28}{7}[/tex]

∴ x = 4

Substitute the value of x in any of the two equation to solve for y:[tex]y = 2(4) - 5[/tex]

y = [tex]8 - 5[/tex]

y = 3

Together these x and y values form an ordered pair, which is also the point of intersection for these two equations: [tex](4, 3)[/tex]

Answer:

The answer is 6 with a remainder of 2.

Step-by-step explanation:

3 times 6 is 18.

Then if you subtract 18 from 20 you get 2.

So 3 goes into twenty, 6 times, and you get a remainder of 2.

Answer: z is in the triangle  all triangles -180 degrees so 108+40 = 148

180-148=32
Answer 32 degrees

Step-by-step explanation:

Answer: 20 for acellus

The linear equation that gives the dollar value V of the product in terms of the year t is V = - $5600t + $344,000.

V(t) is a function of t that expresses the value in the year 2000+t.  

We know that the decrease is $5600 per year.

So,

V(t) = -$5600t + c  

where c is the constant.

V(15) =  -$5600 (15) + c = $260,000     [t = 15]

Hence, we can say that -  

c = $260,000 + $5600 (15)

c= $260,000 + $84,000

c= $344,000

Now we got the value of c. We can write the equation as follows -

V = - $5600t + $344,000

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When x = 6 and y = 8, the expression that s given as x^2+y^2/10 is calculated by substituting the given values and it is equal to 42.4.

The expression to evaluate is: x^2 + y^2/10.

To evaluate this expression when x = 6 and y = 8, we substitute these values into the expression and then perform the arithmetic operations according to the order of operations (PEMDAS).

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right). The order of operations ensures that we always evaluate expressions in a consistent and unambiguous manner.

So, we have:

x^2 + y^2/10 = 6^2 + 8^2/10

= 36 + 64/10

= 36 + 6.4

= 42.4

Therefore, when x = 6 and y = 8, the value of the expression x^2 + y^2/10 is 42.4.

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The equation of line r is x = -3/2y + 5/2.

A line's equation is typically expressed in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. A line's equation expresses the y coordinate of any point on the line in terms of its x coordinate. In other terms, a line equation is a formula that can be used to compute the y coordinate of any point on a line given its x coordinate.

In the given question,

The equation of line r is y = -1/3x + 7.

Line r is perpendicular to line q, so the slopes of the two lines must be opposite reciprocals of one another. The slope of line q is 3, so the slope of line r must be -1/3.

To find the equation of line r, we can use the point-slope formula. The point-slope formula is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

In line r, (x1, y1) is (1, 3). The slope, m, is -1/3.

Substituting values into the point-slope formula, we have y - 3 = -1/3(x - 1).

Solving for y, we have y = -1/3x + 7.

This equation is written in slope-intercept form, which is the form y = mx + b, where m is the slope and b is the y-intercept.

In line r, the slope is -1/3 and the y-intercept is 7.

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A regular polygon with 18 sides has a central angle that is 20 degrees in size.

A polygon's total number of central angles equals 360 degrees.

As a result, the regular polygon's centre angle has a ratio of 360 to its number of sides. It may be expressed as,

[tex]$C_a=\frac{360}{n}[/tex]

Here, (n) denotes the regular polygon's number of sides.

The polygon in the provided issue has an overall total of 18 sides. Using the method above, it is possible to determine the polygon's centre angle, which has 18 sides. Thus,

[tex]$& C_a=\frac{360}{18} \\[/tex]

[tex]$& C_a=20^{\circ}[/tex]

Therefore, a regular polygon with 18 sides has a central angle that is 20 degrees in size.

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The pretax cost of the laptop is $1187.96. The solution has been obtained by using linear equation.

What is a linear equation?

This is the linear equation with the largest degree of one. This demonstrates that there are no variables in linear equations with exponents greater than 1. A straight line appears on the graph as a result of such an equation.

Let the price before tax be 'x'

So, tax = 7.6% * x

Tax = .076x

The total cost of computer is given by:

⇒Total cost = x + .076x

⇒Total cost = 1.076x

⇒1278.24 = 1.076x

⇒x = $1187.9553             (On dividing both sides by 1.076)

⇒x = $1187.96

Hence, the pretax cost of the laptop is $1187.96.

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The point estimator for the proportion of registered voters expressed concern about a loosening of restrictions is 0.58. The margin of error for this poll is 3.6%.

The point estimator for the proportion of registered voters expressing concern about a loosening of restrictions is:

58/100 = 0.58 or 58%

To determine the margin of error for this poll assuming a confidence level of 95%, we can use the following formula:

margin of error = zsqrt(p(1-p)/n)

where z is the z-score for the desired confidence level (1.96 for 95%), p is the point estimator for the proportion (0.58), and n is the sample size (900).

So, the margin of error is:

1.96sqrt(0.58(1-0.58)/900) ≈ 0.036 or 3.6%

Therefore, the margin of error for this poll is 3.6%.

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____The given question is incomplete, the complete question is given below:

Read the following news article and then answer the two questions at the end According to an NBC News/Wall Street Journal poll released Sunday, 58 percent of registered voters expressed concern about a loosening of restrictions compared with 32 percent who worried that the restrictions would stay in place for too long 3 percent said they were concerned about both scenarios. A mere 3 percent said the pandemic had no impact on their lives, compared with 77 percent who said it had affected them either in a very major way" or "fairly major way The sample size was 900 registered voters a What is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions b. Determine the margin of error for this poll assuming a confidence level of 95%.

If Paul uses the function y = 8x + 38 to model the situation, then the model predicts a score of:

86 for 6 hours of homework.

In the given problem, we are given a linear equation of the form y = 8x + 38, where y represents the score obtained by Paul and x represents the number of hours of homework done by Paul.

To predict the score for 6 hours of homework, we need to substitute 6 for x in the equation and solve for y. By substituting x = 6 in the equation, we get:

Therefore, the model predicts a score of 86 for 6 hours of homework.

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So we would expect 8 of the next 20 cupcakes sold to be lemon cupcakes.

What is Algebraic expression?

An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables can represent unknown values, while the constants represent known values.

Based on the data provided by Celine's Cupcakes, out of the total of 15 cupcakes sold, 6 were lemon cupcakes. This means that the proportion of lemon cupcakes sold is:

6/15 = 0.4

To estimate how many of the next 20 cupcakes sold would be lemon cupcakes, we can assume that the proportion of lemon cupcakes sold will remain the same. Therefore, we can expect that:

0.4 x 20 = 8

Therefore, So we would expect 8 of the next 20 cupcakes sold to be lemon cupcakes.

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Answer:

2y=9-3x. 2=(3-x)3y

2=(9-3x)/y......1 2= 3y(3-x)..........2

Combining equations 1 and 2;

9-3x=3y²(3-x)

3(3-x)=3y²(3-x)

y²=1

y=√1

y= ±1

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

Answer:

(175, 175) -> $3,150

(200, 150) -> $3,300

(225, 125) -> $3,450

Explain: I hope this helps

The length of the radius of the circle is 7.5 inches.

The radius formula is easily obtained by halving the circle's diameter. The line segment created when we join a point on a circle's circumference to its exact center is referred to as the ring's radius. The radius of a circle is the separation between its centre and circumference. Always, the diameter is twice the radius. As a result, the formula is created by multiplying the diameter by two.

Given that the diameter of the circle is 15 inches.

The radius of the circle is half the measure of the diameter.

That is,

R = d/2

R = 15/2

R = 7.5 inches

Hence, the length of the radius of the circle is 7.5 inches.

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The value of m for which the parallelogram WXYZ will be a square is (a) 2 .

For the parallelogram WXYZ to be a square ,

We know that , if parallelogram WXYZ is a square all, then all the sides are equal ;

So , we write WX = XY = YZ = ZW ;

To find the value of "m" , we use WX = ZW ;

substituting the values of sides of square from the figure ,

we get ;

⇒ 2m + 4 = m + 6 ;

⇒ 2m - m = 6 - 4 ;

⇒ m = 2 ;

Therefore , the value of "m" for the square WXYZ is 2 .

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The given question is incomplete , the complete question is

What value of m would make parallelogram WXYZ a square ?

(a) 2

(b) 3

(c) 4

(d) 5

the probability of picking a red ball from the bag and getting heads upon flipping a fair coin is 1/2 * 1/2 = 1/8.

There are two independent events, and therefore the probability of both occurring is calculated by multiplying the probability of each event. The probability of picking a red ball from the bag is 1/2, and the probability of getting heads upon flipping a fair coin is also 1/2. Therefore, the probability of picking a red ball from the bag and getting heads upon flipping a fair coin is 1/2 * 1/2 = 1/8.

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Answer:

25%

Step-by-step explanation:

Let Dawn’s monthly allowance be 5x. Let Evelyn’s monthly allowance then be 8x.

Percentage increase by 20% is the same as multiplying a number by 1.2

To find the percentage decrease of Evelyn’s monthly allowance, we can equate their allowances after the change of their initial allowance.

1.2 * 5x = k/100 * 8x

k represents the percentage

6x = 8xk/100

Cancel the x’s from both sides

6 = 8k/100

600 = 8k

k = 75

Therefore since 75% of Evelyn’s monthly allowance is equal to Dawn’s increased monthly allowance, this means Evelyn’s monthly allowance was decreased by 25%.

The probability that at least one component does not function properly when 2 components are randomly selected from 8 is 1/4, or 0.25.

The total number of ways to select 2 components from 8 is:

C(8,2) = 8! / (2! (8-2)!) = 28

Now, let's find the probability that at least one component does not function properly. We can find this probability by subtracting the probability that both components function properly from 1.

The probability that the first component functions properly is 7/8, since there are 7 working components out of 8. The probability that the second component also functions properly, given that the first component does, is 6/7, since there are 6 working components left out of 7. Therefore, the probability that both components function properly is:

(7/8) * (6/7) = 6/8 = 3/4

So the probability that at least one component does not function properly is:

1 - 3/4 = 1/4

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Answer:

Center is (10, 3)

Radius = 6

Step-by-step explanation:

The standard equation of a  circle is

(x - a)² + (y - b)² = r²

where
(a, b) is the center of the circle and

r is the radius

Comparing (x - 10)² + (y - 3)² = 36

it is easy to  see that a = 10, b = 3 and r =√36 = 6
So center is(10, 3) and radius is 6

Answer:

one fifth would be espressos so 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

4. The value of b is 180+2a (option C)

11. the distance between A and B is 4√2 (option A)

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.

The total angle at a point is 360°

therefore the third angle in the triangle = 180-(a+a) = 180-2a

therefore b = 360-( 180-2a)

b = 360-180+2a

b = 180+2a

If the volume of the cube is 64, then AB = √4²+4²

= √16+16 = √32

AB = √32

AB = √ 16×2

AB = 4√2

Therefore the distance between A and B is 4√2

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The triangles ΔGFN and ΔJFN are congruent to each other by the SAS postulate. Then ∠FGN = ∠FJN.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The line segment GF = NJ and FN bisect the angle ∠GFJ.

In triangles ΔGFN and ΔJFN, then we have

GF = NJ                        (Given)

∠GFN = ∠JFN              (Given)

NF = NF                        (Common sides)

The triangles ΔGFN and ΔJFN are congruent to each other by the SAS postulate. Then we have

∠FGN = ∠FJN

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According to the information, the value of the missing angle would be 206°, in a quadrilateral.

To calculate the value of the missing angle we must take into account that the angles of a quadrilateral must add up to 360°. On the other hand, the angles of a triangle must sum to 180°.

According to the previous information, if it is a triangle, then we must add the angles that we know and then subtract it from 180°.

On the other hand, if it is a quadrilateral we must add the angles and subtract them from 360°.

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Let's call the average speed for the last three hours "S".

First, we need to find the total distance that Mr. Jackson traveled in the last three hours. He traveled 300 miles in total, and he covered 64 miles in the first 90 minutes, so he had 300 - 64 = 236 miles left to travel.

Next, we need to find the time he spent traveling in the last three hours. If he traveled for three hours, and the first hour he traveled at 66 miles per hour, then he covered 66 miles in the first hour. So, he had 236 - 66 = 170 miles left to travel in the last two hours.

Finally, we can use the formula for average speed: distance divided by time. The total distance he traveled in the last three hours was 170 miles, and the time he spent traveling was 2 hours, so his average speed for the last three hours was:

S = 170 miles / 2 hours = 85 miles per hour

So, Mr. Jackson's average speed for the last three hours was 85 miles per hour.

Answer:

68 mph

Step-by-step explanation:

Let's call the average speed for the last three hours "S".

The total distance traveled for the last three hours is 300 - 64 * 1.5 = 300 - 96 = 204 miles.

So, over the last three hours, Mr. Jackson covered a distance of 204 miles at a speed of S.

The time it took him to cover that distance is 3 hours.

We can use the formula distance = speed * time to find S:

204 = S * 3

Solving for S:

S = 68 mph

So the average speed for the last three hours was 68 mph.