Given the set of information, find a linear equation satisfying the conditions.

X-intercept at (x,y)=(7,0) and y-intercept at (x,y)=(0,2)

Answer: the 4th boy is 11

Step-by-step explanation:

Let's denote the age of the boys as: x₁, x₂, x₃, x₄.

Then,

[tex]\displaystyle\\\frac{x_1+x_2+x_3}{3}=15[/tex]

Multiply both parts of the equation by denoting by 3:

x₁+x₂+x₃=15(3)

x₁+x₂+x₃=45

Hence,

[tex]\displaystyle\\\frac{x_1+x_2+x_3+x_4}{4} =14\\\\\frac{(x_1+x_2+x_3)+x_4}{4} =14\\\\\frac{45+x_4}{4}=14[/tex]

Multiply both parts of the equation by denoting by 4:

45+x₄=14(4)

45+x₄=56

45+x₄-45=56-45

x₄=11

Answer:

The right angle's vertex.

Step-by-step explanation:

A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.

Answer: 10000

Step-by-step explanation: That is as close to ten thousand as you can get

 volume of a sphere with a radius of 6 inches is 288π cubic inches.

A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.

V=43πr3

Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.

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1. The correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17

2. The correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28

3. The correct arithmetic operation with parentheses is  5 × (3 + 2) × 6 ÷ 3

4. The correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4

5. The correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19

6. the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35

Arithmetic operations are mathematical operations that involve multiplication, division , addition and subtraction.

Arithmetic operations follow the rule of BODMAS where

How to insert parentheses in the appropriate places:

Since the expression evaluates to 17, we put a parentheses between 3 and - 2. So,

8 + (3 - 2) × 9 = 8 + 1 × 9

= 8 + 9

= 17

So, the correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17

Since the expression evaluates to 28, we a parentheses between 4 and + 3. So,

28 ÷ 4 + 3 × 4 + 3 = 28 ÷ (4 + 3) × (4 + 3)

= 28 ÷ 7 × (4 + 3)

= 4  × 7

= 28

So, the correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28

Since the expression evaluates to 50, we put a parentheses between 3 and + 2. So,

5 × 3 + 2 × 6 ÷ 3 = 5 × (3 + 2) × 6 ÷ 3

= 5 × 5 × 2

= 50

So, the correct arithmetic operation with parentheses is  5 × (3 + 2) × 6 ÷ 3

Since the expression evaluates to 30, we put a parentheses between 9 - 4 and 3 - 3. So,

6 × 9 - 4 + 3 - 3 × 4 = 6 × (9 - 4) + (3 - 3) × 4

= 6 × 5 + 0 × 4

= 30 + 0

= 30

So, the correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4

Since the expression evaluates to 19, we put a parentheses between 2 and 6, and also 5 and 3. So,

5 × 3 + 2 × 6 ÷ 3 = (5 × 3) + (2 × 6) ÷ 3

= 15 + 12 ÷ 3

= 15 + 4

= 19

So, the correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19

Since the expression evaluates to 35, we put a parentheses between 6 and 3 and also both 3's. So,

5 × 3 + 2 × 6 ÷ 3 = 5 × [3 + 2 × (6 ÷ 3)]

= 5 × [3 + 2 × 2]

= 5 × [3 + 4]

=  5 × 7

= 35

So, the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)]  = 35

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Answer:

10(4f + 3)

Step-by-step explanation:

Both terms here are multiples of 10 hence we can factor out ten which is the greatest common factor resulting in 10(4f + 3)

Three subsystems are reliability-wise in series and make up a system. Subsystem 1 has a reliability of 99.5%, subsystem 2 has a reliability of 98.7% and subsystem 3 has a reliability of 97.3% for a mission of 100 hours.

We suppose that the system consists of one operating series subsystem, an identical stand-by subsystem, and a switch. Each subsystem consists of N components.

When the operating subsystem fails, the spare is put in motion by the switch immediately. The failed subsystem is restoring or changing the failed component. Because of the memoryless property of the exponential distribution of components lifetime, the renewal of a failed element means the renewal of the whole subsystem. We assume that there is a single repair facility. A renewal time is a random variable having distribution depending on a failed component. We suppose that the lengths of restoring periods of components are represented by identical copies of nonnegative random variables.

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Answer:

36 cm³

Step-by-step explanation:

6x3x2 = (36 cm³)
Length x Width x Height

Answer:

red - 1/2 × b × h

=1/2 × 3 × 4

= 6

green - 1/2 × b × h

= 1/2 × 4 × 4

= 8

Upto 5 hours companies will charge at the same price.

Functions can be represented in a variety of ways. A function, for instance, can be depicted using an input-output table, a graph, and an equation.It's occasionally necessary to compare two functions that are represented in different ways because of an issue. You might be asked, for instance, which function is greater for a given number or which function increases more quickly after being presented with a table and a graph.

Given that :For a limo rental, Lily's limos charges $150 plus $40 per hour. For a limo rental, Ron's Luxury Rides charges $200 plus $30 per hour.

Based on the given condition ,

equation is 150 + 40x = 200 + 30x

40x - 30x = 200 - 150

10x = 200 -150

10x = 50

x =[tex]\frac{50}{10}[/tex]

x = 5

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Answer: Say you want to perform the following subtraction in base 5. Borrow a 5 from 3 fives. 3 fives in now 2 fives. Then, add that 5 to the 1 to make it 6.

Step-by-step explanation: there

Answer:

3 hours

Step-by-step explanation:

but it can be a cent off, so it might be wrong.

Answer: 924212

Step-by-step explanation:

362x+836y+918334

362(7)+836(4)+918334

(362 x 7) + (836 x 4)+918334

Answer:

y=x+2

Step-by-step explanation:

use the formula y=mx+c

first u find m which is the gradient 3-1/5-3 = 2/2=1

sub in any point to find the c

5=1(3)+c

c=2

y=1x+2

The new balance will be -27.50.

It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.

Since her current balance in the account is –$12.50, the new balance after 2 days will be:

= -12.50 + (-7.50 × 2)

= -12.50 + -15

= -27.50

The balance is -27.50

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The cost of the Coca-Cola can will be $1 in the year 2000.

Given that the cost of a can of Coca-Cola can in 1960 = $0.10

The function which models the cost of a Coca-Cola by year 't' is

c(t) =   [tex]0.10e^{0.0576t}[/tex].

Here, 't' denotes the number of years since 1960.

c(t) is an exponential function.

We have to find the year in which the cost of a can will be $1.

So substitute c(t) = 1, we get,

  1 =   [tex]0.10e^{0.0576t}[/tex]

⇒ [tex]10 = e^{0.0576t}[/tex]

We have, [tex]ln(e^x) = x[/tex] .

Taking logarithm on both sides, we get,

log(10) = 0.0576t

⇒  [tex]t=\frac{ln(10)}{0.0576}[/tex]  = 39.97 ≈ 40 years .

Thus the cost of a can of Coca-Cola will be $1 in the year, 1960 + 40 = 2000.

The question was incomplete. Find the complete question at:

The cost of a can of Coca-Cola in 1960 , was $0.10. The function that models the cost of a Coca-Cola by year is C(t)=0.10e^(0.0576t) , where t is the number of years since 1960 . In what year is it expected that a can of Coca-Cola will cost $1.00 ?

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Answer: To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done!

Step-by-step explanation: pls give brainliest

Answer:

16,300,000 viewers

Step-by-step explanation:

We have two ordered pairs and we can write an equation in the slope intercept form of the line from the information that we have.

y = mx + b  y is the number of viewers and x in the number of minutes of ads.

m is the slope.  That is the change in y over the change in x.  We will use the two points given to find this.

(14, 10,000,000) (25, 17,000,000)  

slope:

[tex]\frac{y{1}- y{2} }{x_{1}-x_{2} }[/tex] = [tex]\frac{17,000,000 - 10,000,000}{25-15}[/tex] =[tex]\frac{7,000,000}{10}[/tex] = 700,000

Now we need the b or the y-intercept.  We will use the slope and one of the points to find this.  We could use either point. I am going to use the point (15, 10,000,000)

y = mx + b

I will use 10,000,000 for y

I will use 15 for x

I will use 700,000 for the slope.

I will plug these numbers in and solve for b

10,000,000 = 700,000(15) + b

10,000,000 = 10,500,000 + b  Subtract 10,500,000 from both sides

-500,000 = b

Now we can write the equation

y = mx + b

y = 700,000x -500,000 Plug is the 24  for x to solve for the number of views.

y = 700,000(24) -500,000

y = 16,800,000 - 500,000

y = 16,300,000

Answer:

last one

Step-by-step explanation:

6 3x2/8x2= 6 6/16

6 +5=11

6/16+11/16=17/16

11 17/16

Answer:

2.8 squared

2.6 cubed

2.6 twenty-fourth power

2.6 eighteenth power

its korrect now

The required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six is given as,
x = [1.4³/1.2⁴]⁻⁶
x = 1.4⁻¹⁸ / 1.2⁻²⁴
x = 1.2²⁴ / 1.4¹⁸

Thus, the required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.

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It lies in the quadrant IV.

Since we know that a full circle is broken into four parts known as quadrants into regions of π/2.Since quadrant  1 ranges from 0 to π/2,  quadrant 2 ranges from π/2 to π, then quadrant 3 ranges from π to 3π/2, and at last quadrant 4 ranges from 3π/2 to 2π.

And we know 2π is equal to approx  6.28 radians,  so each quadrant will have  2π/ 4 = π2  ≈1.57 radians

So for angle  -7 it will be =  −7/(π/2) ≈−4.45.

So  moving around the circle,  it appears halfway through the quadrant IV.

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

Explanation:

She read 40 books over 5 months. This means her unit rate is 8 books per month (since 40/5 = 8)

x = number of months

(unit rate)*(number of months) = total books read

8x = 72

x = 72/8

x = 9

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

Another way to solve

(40 books)/(5 months) = (72 books)/(x months)

40/5 = 72/x

40x = 5*72 ... cross multiplying

40x = 360

x = 360/40

x = 9

Answer:

Step-by-step explanation:

Arithmetic mean is the average of the numbers.

Formula we use is,

→ Mean = (x + y)/2

a) 40 and 60 = ?

→ (40 + 60)/2

→ 100/2 = 50

Thus, the mean is 50.

b) -60 and -20 = ?

→ (-60 - 20)/2

→ -80/2 = -40

Thus, the mean is -40.

c) (7/3) and (11/3) = ?

→ ((7/3) + (11/3))/2

→ (18/3)/2

→ 6/2 = 3

Thus, the mean is 3.

The expected value is 3/31.

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Answer:

m = -4

Step-by-step explanation:

We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.

The slope (m) can be calculated from two points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.

[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]

Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.

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

m=[tex]\frac{-22--2}{-2--7}[/tex]

Simplify.

m=[tex]\frac{-22+2}{-2+7}[/tex]

Add.

m=[tex]\frac{-20}{5}[/tex]

Divide.

m = -4

The slope of the line is -4.

Topic: slope

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Answer:x=8

Step-by-step explanation:because you have to get the x by itself so add 2 to both sides so that's 8=x and its already x you dont have to divide so the answer is    8=x

hope this helps :}

Step-by-step explanation:

If it is absolutle vaules than there will be two solutions

First you want to get the absolute vaule of x by its self

After that you want to set up a postive and negative equation

[tex]8 = |x| [/tex]

[tex] - 8 = |x|[/tex]

Theres your two solutions.

Answer: 3x+6y > 21

Step-by-step explanation:

total distance kylie runs is the combined amount of loops from both paths. 3x represents however many loops she runs times the length of the short path. 6y represents however many loops she runs times the long path. Both of them have to add up and be greater than 21.

Answer:

add a pic

Step-by-step explanation:

The result of each arithmetic operation is

1) -4×(-6)=24

2) -24 × [tex]-(\frac{7}{6})[/tex] = 28

3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]

4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]

Part 1

-4×(-6)=24

Part 2

-24 × [tex]-(\frac{7}{6})[/tex] =[tex]\frac{(24)(7)}{6}[/tex]

=[tex]\frac{168}{6}[/tex]

=28

Part 3

4 ÷ (-6) =[tex]-\frac{4}{6}[/tex]

=[tex]-\frac{2}{3}[/tex]

Part 4

[tex]\frac{4}{3}[/tex]÷(-24)= [tex](\frac{4}{3})(-\frac{1}{24} )[/tex]

=[tex]-\frac{4}{24}[/tex]

=[tex]-\frac{1}{18}[/tex]

Hence, the result of the following arithmetic operation is

1) -4×(-6)=24

2) -24 × [tex]-(\frac{7}{6})[/tex] = 28

3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]

4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]

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