what is the mode of this data set? 4, 69, 84, 69, 90, 75, 94, 90, 90, 1, 5

The value of 'a' for which the system of equations has a unique solution is a = 4/3.

The given system of equations can be written as:

Ax = 2

6x – 2y = 3

To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.

Solving for 'x' in the first equation, we get:

x = 2/a

Solving for 'y' in the second equation, we get:

y = (3 + 6x)/2

Substituting the value of 'x' in the above equation, we get:

y = (3 + 6(2/a))/2

Equating the two equations, we get:

2/a = (3 + 6(2/a))/2

Multiplying both sides of the equation by 'a', we get:

2 = 3a + 6

Subtracting 2 from both sides of the equation, we get:

3a = 4

Dividing both sides of the equation by 3, we get:

a = 4/3

Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.

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Answer:

[tex]y = 3x+7[/tex]

Step-by-step explanation:

Given

See attachment for Mario's pizza table

Required

Determine the equation in slope intercept form

First, we calculate the slope of the table using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have:

[tex](x_1,y_1) = (3,16)[/tex]

[tex](x_2,y_2) = (5,22)[/tex]

So, the slope is:

[tex]m = \frac{22 - 16}{5 - 3}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (3,16)[/tex]

[tex]m =3[/tex]

So:

[tex]y = 3(x - 3) + 16[/tex]

Open bracket

[tex]y = 3x - 9 + 16[/tex]

[tex]y = 3x+7[/tex]

Answer: part A = 17 %

part b = 7

Step-by-step explanation:

for part a it is a percentage for the number 8 so you do part divided by the whole time 100 to get teh perecentagepart b is the number with the highest pick rate so it has the most likly  choice of being picked.

Answer:

y = 8.9

Step-by-step explanation:

8^2 + y^2 = 12^2

64 + y^2 = 144

subtract 64 from both sides

y^2 = 80

square root both sides

y = square root 80

y = 8.9

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

[tex]h(t)=-16t^2+85t+5[/tex]

We need to find the interval the rocket be at least 43 feet above the ground.

[tex]43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s[/tex]

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

Answer:

y = 32.5

x = 13

Step-by-step explanation:

opposite angles of the parallelogram are equal to each other.

parallelograms form 360° in total

so 60+ 55 = 115 * 2 (because two angles) = 230

360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°

2y = 65 °. and 5x = 65 °

y = 32.5

x = 13

An expression that represents the total cost of an order of n number of tickets: 35n + 15

Let n be the number of tickets to a concert.

Let C be the cost for the tickets

Given that the tickets to a concert are $35 each.

So, by unitary method the cost of n number of tickets would be,

n × 35

And the cost for the tickets would be,

C = 35n

In addition to the cost for the tickets ordered, there is a $15 processing charge per order.

So, the cost for the tickets would be,

C = 35n + 15

This is the required expression.

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The complete question is:

Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order.

Write an expression that represents the total cost of an order of n number of tickets.​

Answer:49

Step-by-step explanation:

Answer:

1. Radius: 3 Diameter: 6 Circumference: 18.85 Area: 28.27

2. Radius: 6 Diameter: 12 Circumference: 37.7 Area: 113.1

3. Radius: 9 Diameter: 18 Circumference: 56.55 Area: 254.47

Step-by-step explanation:

Diameter is double the radius.

Circumference is: 2πr

Area is: πr²

Answer:

1/4 > 3/16

Step-by-step explanation:

1/4 = 4/16

4/16 > 3/16

Therefor

1/4 > 3/16

Answer for the given problem,

a.  Percentage of 160 in number 40 is, 400%

b. The number for which 40 is 160% of that number is,  25

c.  The number which is 40% of 160 is, 64

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

a.   present quantity = 160

     whole quantity  = 40

    Percentage = 400 %

b.  present quantity = 40

    Percentage = 160

    Whole quantity  = 25

c.   whole quantity  = 160

     Percentage = 40%

     Present quantity = 64

Hence, Answers are respectively,  400%,  25,  64

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Answer:

120 cm.

Step-by-step explanation:

The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is

2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.

Answer:

Applied force

Step-by-step explanation:

Applied force is a force that is applied to an object by another person or object. e.g. the force applied when Kim pushes the box

Normal force is the force exerted on an object that is in contact with another object that is stable e.g.

Gravitational force is the force attracting objects of mass

Friction force is the force that opposes motion when the surface of one object comes in contact with that of another object

Answer:

[tex]t = \dfrac{I}{Pr}[/tex]

Step-by-step explanation:

Given the equation [tex]I = Prt[/tex]:

To solve for [tex]t[/tex], all we have to do is divide both sides by [tex]Pr[/tex].

[tex]\textrm{} \ \, I = Prt\\\overline{Pr} \ \ \ \overline{\: Pr \: }[/tex]

[tex]t = \dfrac{I}{Pr}[/tex]

Text form:

t = I / Pr

Answer:

[tex]t= \frac{I}{Pt}[/tex]

Step-by-step explanation:

Given the equation,[tex]I=Prt[/tex], solve for the value, t.

[tex]I=Prt[/tex], divide both sides of the equation by [tex]Pr[/tex]. We get,

[tex]t= \frac{I}{Pr}[/tex], final answer.

Answer:

D

89 degree

Step-by-step explanation:

exterior angle is equal to twp opposite interior angle so w+33=122

then w=122-33

so w=89

plz mark me brilliant

Answer:

1,600

Step-by-step explanation:

Divide 240 by 3. This is 80, or 5% of the total.

Multiply 80 by 20, to get 1,600, 100% of the total

Answer:

A

Step-by-step explanation:

1A). 1² + 4²

= 1 + 16

= √17

B). 1² + 16²

= 1 + 256

= √256

= 16

C). 2² + 8²

4 + 64

= 68

= 2√16

D). 2² + 15²

= 4 + 225

= √299

Answer:

the picture is the formula.

D stands for distance

S stands for speed

T stands for time

Step-by-step explanation:

Steve

Time = Distance divided by speed

=12miles divided by 8miles per hour

=1.5hours or 90minutes

Distance= 12miles

Speed= 8miles per hour

Adam

Speed= 6miles per hour

Distance= 12miles

Time= distance divided by speed

= 12miles divided by 6miles per hour

=2hours or 120minutes

120minutes - 90minutes=30 minutes

Answer:

2.) 48 Inches

Step-by-step explanation:

Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -

49 + 47 + 46 + 45 + 53 = 240

240 ÷ 5 = 48 in

have a good day! :)

Answer:

number 2). 48 Inches (all crdt goes to the person who typed this first lol)

Step-by-step explanation:

Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -

49 + 47 + 46 + 45 + 53 = 240

240 ÷ 5 = 48 in

have a good day! :3

Answer:

I cannot really see the q

Answer: 11, 30

Step-by-step explanation:

Given

There were a total of 41 national battlefields and national memorials

Suppose there are [tex]x[/tex] national battlefields

So, national memorials are [tex]3x-3[/tex]

The sum of the two must be 41

[tex]\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11[/tex]

So, there are 11 national battlefields and [tex]3\times 11-3=30[/tex] national memorials.

The following is how you can calculate quantity of seed:

Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.

The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.

Goals in calculating the Sowing rate:

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An equation that shows what the cost of renting a car will be: C=R+mc.

Let the rental cost = R

consider m to be the number of miles driven= m

let c be the cost per mile

And C is the total cost of renting;

Then C = R+mc

the given equation $40 + $0. 10 per mile

Now, in the above equation consider:

R =$40 ( the rental cost)

c = $0.10 ( the cost per mile)

The total cost is C = $40+$0.10m

Ex:

if m is known assume m=1000 miles

Then the total cost C = $40+($0.10/mile)(1000miles)

then  C = $40+$100=$140

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Answer:

the slope is

[tex] \frac{3}{4} [/tex]

and y intercept is 0

Therefore the rounded numbers are 23.54 and 0.9160.

An integer containing one or more "0"s at the end in a certain base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600. A round number is frequently understood to stand for a value or values close to the nominal value given in both formal and informal language.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

a. To round 23.54 to five decimal places, we look at the sixth decimal place, which is 4. Since 4 is less than 5, we leave the fifth decimal place as is, and the number rounded to five decimal places is 23.54.

b. To round 0.916 to five decimal places, we look at the sixth decimal place, which is 1. Since 1 is greater than or equal to 5, we increase the fifth decimal place by one, and the number rounded to five decimal places is 0.9160.

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