Write and evaluate the expression. Then, complete the statements.ten less than the quotient of thirty and a number

Evaluate when t= 2

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries ten, less than, quotient, thirty, a number. Column 2 is labeled replace with entries 10, minus, divided by, 30, t.

First, write the expression
.

Second,
2 in for the variable, t.

Third,
by using

.

The answer is
.

Answer:

7 units. count from -3 to 4 on a number line

Step-by-step explanation:

Answer:(4,5)

Step-by-step explanation:

Answer:

f(A)= -143.75p + 4343.75

Step-by-step explanation:

Let price be x, and attendance, y

According to the given data,

admission was $17 the attendance was about 1900 customers

admission was $9 the attendance was about 3050 customers

Therefore, the points in terms of e and y coordinates would be , (17, 1900) --> (x1,y1)

 & (9, 3050)---->(x2,y2)

Next is to calculate slope of linear equation i.e

m= (y2-y1)/(x2-x1)

m=(3050-1900)/(9-17)

m= -143.75

Now in order to find the equation, we use point-slope

y-y1= m (x-x1)

considering the coordinates (17, 1900) and slope -143.75

Equation becomes

y-1900 = -143.75( x- 17)

y-1900= -143.75x + 2443.75

y= -143.75x + 4343.75

or can be written as,

f(A)= -143.75p + 4343.75

Answer:

Step-by-step explanation:

From the question, A local cinema found that if the price of admission was $17the attendance was about 1900 customers per weekWhen the price of admission was dropped to $9. Attendance increased to about 3050 per week. Write a equation for the attendance in terms of the price. P i (A=mp+b )

Let price be a,and attendance, b

Attendance: 1,900 customers, when PRICE = $17

Attendance: 3,050 customers, when PRICE = $9

We then get the points,

(17, 1,900) & (9, 3,050)

Slope of linear equation,

(17,1900) (9, 3050)

find the slope m

(3050-1900)/(9 - 17)

1150/-8

-143.75=m

A=mp+b

A=-143.75p+b

using Attendance as a function of ticket price.

A(p) = mp + b

We have two points (p, A): (17, 1900), (9, 3050)

Slope: m = (2800-1500)/(7-17) = 1300/-10 = -130

A = -130p + b

Using (17, 1900) as (p, A) find b

1900 = -143.75(17) + b

1900 = -2443.75 + b

4343.75 = b

A = -143.75p + 4343.75

Answer:

y = -1 & x = -1

Step-by-step explanation:

x = 4y + 3 .... ( 1)

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

substitute the 4y + 3 as x in the second equation

2( 4y + 3) + y = -3

simplify and solve for y

8y + 24 + y = -3

9 y + 24 = -3

9y = -3 -24

9y = -27

y = -27 / 9

y = -1

Now, substitute the value of y -1 in first equation

x = 4y + 3

solve for x

x = 4 ( - 1 ) + 3

x = -4 + 3

x = -1

Answer:

x = -1, y = -1

Step-by-step explanation:

x = 4y + 3

2x + y = -3

We have the value of x in terms of y, so we substitute that in 2x + y = -3:

2(4y+3)+y = -3

8y+6+y = -3

9y = -9

y = -1

Now we substitute the value of y in x = 4y + 3:

x = 4(-1)+3

x = -1

Answer:

7 m

Step-by-step explanation:

As the question is given, the tree is broken from the middle and the length of the broken part is:

• 14 m /2 = 7 m

So it is 7 m

Final answer:

To find the length of the broken part of the tree, use the concept of similar triangles and set up an equation. Solve the equation to find the length of the broken part.

Explanation:

To find the length of the broken part of the tree, we can use the concept of similar triangles. The height of the tree is 14m, and when it's broken, the top touches the ground, forming a right triangle with the remaining part of the tree. Let's call the length of the broken part x. Using the properties of similar triangles, we can set up the following equation:

14m / x = (14m - x) / x

Simplifying the equation, we get:

14m^2 - x^2 = 14m * x

Now, let's solve for x:

14m * x = 14m^2 - x^2

x^2 + 14m * x - 14m^2 = 0

This is a quadratic equation that can be factored:

(x - 14m)(x + m) = 0

So, x = 14m or x = -m. Since we are dealing with length, we can ignore the negative solution. Therefore, the length of the broken part of the tree is 14m.

Learn more about Similar triangles here:

brainly.com/question/34830045

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