All categories

4 years ago

What is the product of -1 3/8 and 2 4/5 expressed as a mixed number?

Mathematics

1 answer:

olga_2 [115]4 years ago

8 0

The product of this equation, expressed as a mixed number is -3 17/20

You might be interested in

Passing through(-1,8) and parallel to the line whose equation is 8x-9y-2=0

notka56 [123]

<h3>Answer:</h3>

y = 8/9x + 80/9

<h3>Step-by-step explanation:</h3>

<u>We are given;</u>

Equation of a line as 8x -9y -2 = 0
Coordinates (-1,8)

We are required to determine the equation of a line parallel to the given line and passing through a point (-1,8)

<h3>Step 1: Determine the Gradient of the given line </h3>

When an equation is written in the form y = mx + c, m is the gradient.
Therefore; we could write the equation 8x -9y -2 = 0 in the form of y= mx + c

9y = 8x -2

y = 8/9x - 2/9

Therefore, the slope, m = 8/9

<h3>Step 2: Determine the equation of the line</h3>

We need to know that parallel lines have the same gradient
Therefore, the slope of the line in question is 8/9
It passes through a point (-1, 8)

We can therefore, determine the equation;

Taking another point, (x,y)

$\frac{y-8}{x+1} = \frac{8}{9}$

9(y-8) = 8(x+1)

9y - 72 = 8x + 8

9y = 8x + 8 +72

9y = 8x + 80

y = 8/9x + 80/9

Therefore, the equation of the line is y = 8/9x + 80/9

4 0

4 years ago

Which ratio is equivalent to 22 : 11 ?<br> 1 : 2<br> 2 : 1<br> 2 : 44<br> 66 : 44

Nadya [2.5K]

Answer: 2:1 B is the answer I think this is correct.

Step-by-step explanation:

6 0

3 years ago

Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. The

vodomira [7]

Answer:

2) ABCD is a RECTANGLE.

Perimeter = 30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

$PQ = \sqrt{(c-a)^2 + (d-b)^2$

Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4) is given as:

$AB = \sqrt{(11-6)^2 + (-4-(-4))^2} = \sqrt{(5)^2 + 0} = 5$

⇒ AB = 5 units

BC with coordinates B(11, –4), C(11, 6) is given as:

$BC = \sqrt{(11-11)^2 + (6-(-4))^2} = \sqrt{(0)^2 + 10^2} = 10$

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6) is given as:

$CD = \sqrt{(11-6)^2 + (6-6)^2} = \sqrt{(5)^2 + 0} = 5$

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6) is given as:

$AD = \sqrt{(6-6)^2 + (-4-(-4))^2} = \sqrt{(0)^2 + 10^2} = 10$

⇒ AD = 10 units

Now, here AB = CD = 5 units, AD = BC = 10 units

Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is a RECTANGLE.

Perimeter = AB + BC+ CD + AD = 5 + 10 + 5 + 10 = 30 units

8 0

3 years ago

Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and

Andrews [41]

The answer would be m= -4/3

3 0

3 years ago

Teddy buys a new television that was orignally priced $399 and on sale for %15 off. How much money did he save? What was the new

jekas [21]

Answer:

Teddy saved $ $59.85$

The new price of the tv is $ $339.15$

Step-by-step explanation:

To find out how much the new price of the tv is you need to do as follows:

We know that it was 15% off meaning it keeps 85% of its value. Knowing this we do

$399*0.85$

This gives us

$339.15$

To find out how much he saves, we find the difference:

$399-339.15$

Teddy saves:

$59.85$

6 0

2 years ago