someone help me on this please

Answer: 49

Step-by-step explanation:

The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is on line segment RT.  

ST = 2x – 10,

RS = 2x - 5, and

RT = 3x + 1,

RT = RS + ST

3x + 1 = 2x - 5 + 2x - 10

The above equation is representing a linear equation in one variable.

After simplifying:

3x + 1 = 4x - 15

4x - 3x = 15 + 1

x = 16

RT = 3x + 1

Plug x = -14

RT = 3(16) + 1

RT = 48 + 1

RT = 49

The numerical value of RT = 49

Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

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Answer:

The answer is 4x

Step-by-step explanation:

Hope this helped

no this is not enough chairs!

if you have 6 rows of 11 chairs it would look like this

xxxxxx

xxxxxx

xxxxxx

xxxxxx

xxxxxx

(each x is a chair)

this would mean to figure out the amount of chairs you set down you would do 6 x 11 which is 66. so you would need 4 more chairs to fit all 70 people.

Answer: the answer i think is c

Answer:

Import in 2012 was the greatest

Step-by-step explanation:

Given

l(t) = -33t² + 800t - 3000

9 ≤ t ≤ 13

Required

Determine the year with highest import.

To do this we simply substitute the values of t from 9 to 13 in the given function.

When t = 9

l(t) = -33t² + 800t - 3000

l(9) = -33 * 9² + 800 * 9 - 3000

l(9) = -33 * 81 + 800 * 9 - 3000

l(9) = -2673 + 7200 -3000

l(9) = 1527

When t = 10

l(10) = -33 * 10² + 800 * 10 - 3000

l(10) = -33 * 100 + 800 * 10 - 3000

l(10) = -3300 + 8000 - 3000

l(10) = 1700

When t = 11

l(11) = -33 * 11² + 800 * 11 - 3000

l(11) = -33 * 121 + 800 * 11 - 3000

l(11) = -3993 + 8800 - 3000

l(11) = 1807

When t = 12

l(12) = -33 * 12² + 800 * 12 - 3000

l(12) = -33 * 144 + 800 * 12 - 3000

l(12) = -4752 + 9600 - 3000

l(12) = 1848

When t = 13

l(13) = -33 * 13² + 800 * 13 - 3000

l(13) = -33 * 169 + 800 * 13 - 3000

l(13) = -5577 + 10400 - 3000

l(13) = 1823

Comparing the values of l(t) for the range of t = 9 to 13,

The highest value of l(t) is:

l(12) = 1848

Hence, the year with the highest import is 2012

The oil imports to the country are greatest during the year 2012

Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000

The oil imports more oil during the year 2012, is t = 12

I(12) = −33(12)² + 800(12) − 3,000

I(12) = -33(144) + 9600 - 3000

I(12) = -4752 + 6600

I(12) = 1848

Hence the oil imports to the country are greatest during the year 2012

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Steps to solve:

-3x - 9y = 18

~Add 3x to both sides

-9y = 18 + 3x

~Divide -9 to everything

y = -1/3x - 2

Best of Luck!

The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.

In this problem,

The average = $1000

the amount of terms = 3

x = the amount earned Sunday

($1073 + $1108 + x) / 3 = $1000

First, multiply both sides by 3

$1073 + $1108 + x = $3000

Add together like terms

$2181 + x = $3000

Subtract $2181 from both sides.

x = $819

The restaurant needs to earn $819 on Sunday to have an average of $1000

Answer:

These ordered pairs does NOT represent a function.

Step-by-step explanation:

One of the x-values repeast (6), which is not a characteristic of a function. Because so, it also does not pass the vertical line test because it would pass through the points twice.

Answer:

QR = 16

Step-by-step explanation:

Because PML ~ TRQ

So PM / TR = ML / RQ

35 / 14 = (7x-9) / (2x+2) = 5/2

2(7x-9) = 5(2x+2)

14x-18 = 10x + 10

4x = 28

x= 7

=> QR = 2(7) + 2=16

Answer:

23 is your answer hope this helps

Answer:

The number is 23

Step-by-step explanation:

23*2=46

46-6=40

40/2=20

The answer is 23

Hope that helps!

Answer:

8

Step-by-step explanation:

8*8=64

Answer:

  -2-h

Step-by-step explanation:

It doesn't hurt to follow directions.

  [tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]

__

Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.

Answer:

co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1

Step-by-step explanation:

Answer:

  19. -3

  20. 4

  21. 6/7

Step-by-step explanation:

Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.

  19. x = 6/4(-2) = -3

  20. x = (12/6)(2) = 4

  21. x = (3/7)(2) = 6/7

Answer:

$531.31

round to the nearest cent is round to 2 decimal places

Answer:

537.31 hope this helps you out

Answer:

881465966

Step-by-step explanation:

Answer:

y = -4x + 4

Step-by-step explanation:

8x+2y+2=0

turn that into slope intercept form:

y = -4x - 1

a parallel line has the same slope, but different y-intercept

y = -4x + b

put (2,-4) into the equation

-4 = -4(2) + b

you get b=4

final product:

y = -4x + 4

Area of a rectangle = w*l

w = width

l = length

In our problem,

Area = 105mi^2

l = x

w = x - 8

Let's plug our values into the formula above.

105mi^2 = x(x - 8)

Distribute the x

105mi^2 = x^2 - 8x

Subtract 105mi^2 from both sides.

0 = x^2 - 8x - 105

Let's factor the right side.

0 = (x - 15)(x + 7)

Set both terms equal to 0

x - 15 = 0

Add 15 to both sides.

x = 15

x + 7 = 0

Subtract 7 from both sides.

x = -7

Since the length cant be a negative number, 15 is the correct answer.

Length = x = 15 mi

Width = x - 8 = 15 - 8 = 7 mi

The length of the rectangle is 15 miles while the width is 7 miles.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of rectangle = 2( length + width).

Suppose the length is L while the width is W.

Area of rectangle = length × width.

L x W = 105

W = L - 8

By substitution,

L x (L - 8) = 105

L² - 8L - 105 = 0

L² - 15L + 7L - 105 = 0

L(L - 15) + 7(L - 15) = 0

(L + 7)(L - 15) = 0

L = -7, L = 15

Since length will not be negative thus L = 15 miles.

W = 15 - 8 = 7 miles

Hence "The length of the rectangle is 15 miles while the width is 7 miles."

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Answer:

so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them

Answer:

[tex] \frac{27}{35} \\ [/tex]

Step-by-step explanation:

If you are going to multiply fractions, you just going to multiply their numerators and denominators and simplify when needed.

[tex] \frac{3}{5} \times \frac{9}{7} \\ \frac{3 \times 9}{5 \times 7} \\ \frac{27}{35} [/tex]

Answer:

Step-by-step explanation:

Sample data

Mean = sum of sample data/sample frequency

Answer choices:

The variation in the sample means makes it possible to make predictions about the population mean.

The actual population mean is greater than 236.

The actual population mean is less than 245.

The actual population mean is greater than 245

The population mean is the average of the sample means.

Answer:

It is numbers 1, 2, and 3!

Step-by-step explanation:

Answer:

Step-by-step explanation:

sum of their cubes=0.334125

The ratio of three numbers is 2:3:4.

Let the numbers be 2x, 3x and 4x.

Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3

(8x^3) + (27x^3) + (64x^3) = 99x^3

99x^3 = 0.334125

x^3 = (0.334125) / 99

x^3 = 0.003375

x^3 = (0.15)^3

x = 0.15

Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6

THERE YOU GO I HAVE TO TYPE WORDS

Answer:

The first one is 20

The second one is 18

And the last one is 4

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=[tex]\frac{p + fy}{K - c}[/tex]

Answer: The train station is located at point (5,1).

Step-by-step explanation:

Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).

A tourist information center is between bus station and train station.

i.e.  tourist information center is a mid point  of line joining bus station and  train station.

Midpoint between (a,b) and (c,d) is given by :-

[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex]

Let (a,b) be the coordinates of train station , then

[tex](1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1[/tex]

Hence, the train station is located at point (5,1).