Which of these transformations occurs when the blades of a fan turn?

Ken has 4.66 pounds of walnuts, 2.1 pounds of cashewes, and 8 pounds of peanuts. He mixes them together and divides them equally

weeeeeb [17]

0.82 pounds in each bag

6 0

3 years ago

6. The expected life of a calculator varies inversely with the amount of times a student

loris [4]

9514 1404 393

Answer:

250 days

Step-by-step explanation:

If the number of drops increases by a factor of 20/8, the expected life will decrease by the inverse of that factor: 8/20.

The expected life is (8/20)(625 days) = 250 days.

6 0

3 years ago

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th

KatRina [158]

Answer:

( $\frac{3}{5}$ b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - $\frac{5}{3}$ and b = b , thus

y= - $\frac{5}{3}$ x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- $\frac{5}{3}$ x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = $\frac{3}{5}$ b , thus

x- intercept = ( $\frac{3}{5}$ b, 0 )

6 0

2 years ago

A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?

timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Substitute: $m=\frac{16-14}{-1+3}$
Subtract/Add: $m=\frac{12}{2}$
Divide: $m=6$

Step 3: Find y-intercept b

Define: y = 6x + b
Substitute: 16 = 6(-1) + b
Multiply: 16 = -6 + b
Isolate b: 22 = b
Rewrite: b = 22

Step 4: Write linear equation

y = 6x + 22

5 0

3 years ago

Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of th

Ksivusya [100]

Answer:

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

Two sides of a triangle are equal in length
The third side is 3 m less than the common length
Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

Assuming the common sides are x m each
Then, the third side will be (2x-3) m
Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

3 0

3 years ago