A number between 55 and 101 that is a multiple of 2, 8, and 16

After a 90% reduction, you purchase a new clothes dryer on sale for $62. What was the original price of the clothes dryer?

vekshin1

Answer:

$7.20

Step-by-step explanation:

First, we would have to find out how much to subtract from $62.

We need to multiply 90% and 62 or 0.9 x 62

When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.

62 - 54.8 = 7.2, so therefore our answer is $7.20

4 0

2 years ago

There are 2 cups in 1 pint.

Alex17521 [72]

The equation that shows the relationship between the number of cups and pints is c = 2p.

<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

Find out more on equation at: brainly.com/question/2972832

8 0

2 years ago

1.The growth of a sample of bacteria can be modeled by the function b(t)=100(1.06)t where b is the number of bacteria and t is t

qwelly [4]

Given:

The growth of a sample of bacteria can be modeled by the function

$b(t)=100(1.06)^t$

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

$b(t)=100(1.06)^t$

Here, b(t) number of total bacteria after t hours.

Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.

$b(t)=100(1.06)^3$

$b(t)=100(1.191016)$

$b(t)=119.1016
$

Therefore, the number of total bacteria after 3 hours is 119.1016.

4 0

2 years ago

a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

lianna [129]

Answer:

The perimeter of the garden, in meters, is $24\sqrt{2}$

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that $d = 12$ , side s. So

$s^2 + s^2 = 12^2$

$2s^2 = 144$

$s^2 = \frac{144}{2}$

$s^2 = 72$

$s = \sqrt{72}$

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

$72 = 2^{3}*3^{2}$

So, in simplest radical form:

$s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}$

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

$P = 4s$

In this question, since $s = 6\sqrt{2}$

$P = 4s = 4*6\sqrt{2} = 24\sqrt{2}$

The perimeter of the garden, in meters, is $24\sqrt{2}$

5 0

2 years ago

Select the inequality that corresponds to the figure:

vivado [14]

Answer:

C. 2x-y>-7

Step-by-step explanation:

The Line is not part of the region since is drawn in the graph using a dotted line, but we still need to find its equation.

The equation of a line is y=mx+b, where 'm' is the slope.

'm' can be obtained using the following formula.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

To find the slope, as well 'b' we need points from the line, those will be (-6,-5), (0,7) as (x2,y2) and (x1,y1) respectively

Evaluating those point in the formula we have 'm' =2

Using now the above result and the point (0,7) in the equation y=mx+b, we obtain the value for 'b'.

7=2*0+b7

b=7

Hence our line is y=2x+7, and if we write it in standard form we obtain the following> y-2x=7.

Now, since our line is not part of the region, and the region is below that line, there is the < sign.

Hence the inequality that corresponds to the figure is y-2x<7 or, if we multiply by -1 (changin orientation of signs) 2x-y>-7

4 0

3 years ago