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3 years ago

Use the rules for multiplication by powers of 10 to calculate 3 × 100

1 answer:

4 0

3 × 100 = 300

the easiest way to do it is just add the same amount of zero's to the number you multiplied with. for example

3 × 10000 if you would just take out the zero's
it would look like this. 3 × 1

the answer of course would be 3 then you can put the zero's back in the answer (30000)

at least that's how I understood it

3 × 100 =

3 × 1(00) =
-->

-->
(00)
3 × 1(00) = 3

3 × 100 = 300

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You have a three year fixed rate lease of $900/month due to expire next month. Your landlord is willing to renew the three year

harkovskaia [24]

Answer:

$\\3 percent of 900 = 27 \\900 + 27 = 927 \\ 927 * 36 = 33372$

Step-by-step explanation:

First you have to find out the 3% of 900 (is 27)

then you add 27 to 900

then you multiply it by 3 years (36 months)

and your result is 33372 :)

8 0

3 years ago

1. The diagonal of a quadrilateral

zalisa [80]

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths of the perpendiculars dropped on it from the remaining opposite vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths of the perpendiculars dropped on it from the remaining opposite vertices are heights of those triangles.

According to the question,

Triangle 1 : Base = 8.5 cm and Height = 3.5 cm

Triangle 2 : Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

Using this formula, we get

$Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5$

$Area(\Delta 1)=14.875$

and

$Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5$

$Area(\Delta 2)=19.125$

Now, area of the quadrilateral is

$Area=Area(\Delta 1)+Area(\Delta 2)$

$Area=14.875+19.125$

$Area=34$

Therefore, the area of the quadrilateral is 34 cm².

6 0

2 years ago

Write an inequality, in slope-intercept form, for the graph below. If necessary,

Rama09 [41]

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

$y=mx+b$

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))$

$y=\dfrac{-3}{3}(x+3)$

$y=-1(x+3)$

$y=-x-3$

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

$y\geq -x-3$

Therefore, the required inequality is $y\geq -x-3$ .

8 0

3 years ago

What does 1/8 + 1/6 equal?

dedylja [7]

Answer:

7/24

Step-by-step explanation:

1/8 + 1/6

First get a common denominator of 24

1/8 * 3/3 = 3/24

1/6 * 4/4 = 4/24

3/24 + 4/24 = 7/24

8 0

3 years ago

4 pts

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Check the picture below.

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2 years ago