Answer:
x = , y = 6
Step-by-step explanation:
5x + y = 7 → (1)
20x + 2 = y → (2)
Substitute y = 20x + 2 into (1)
5x + 20x + 2 = 7
25x + 2 = 7 ( subtract 2 from both sides )
25x = 5 ( divide both sides by 25 )
x = =
Substitute this value into (2) and evaluate
20( ) + 2 = y
4 + 2 = y , so
y = 6
Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, -
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Answer:
A. <em>[0, 65]</em>
Step-by-step explanation:
Given that
Distance that Marcus drives every day = 32 miles.
The table having average speed as input and time taken as output is shown below in the table format:
To find:
The domain that includes all possible average speeds using interval notation = ?
Solution:
First of all, let us understand what is a domain of a function.
Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.
If a function is written as:
then values of
are the input given to the function.
In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.
That means domain has a maximum value of 65.
Let us learn something about interval notation.
( or ) means the value is not inclusive.
[ or ] means the value is inclusive.
Here 65 will be inclusive.
On the left side of comma, lower value is written and on the right side of comma, larger value is written.
So, domain for the current situation will be:
<em>[0, 65]</em>
<em></em>
0 is taken as the minimum value of domain here, because average speed value can not be negative.
This interval will contain all the possible values of input (average speed) as shown in the above table of values.
You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.
By buying the book on sale and using the coupon, Jamie will save
Option B: $11.55
<h3>Suppose the sale gives p% off.
And the discount coupon provides q% off.
Then we have total discount applied on the cost of the object bought as
(p+q)%
<h3>How to find the percentage from the total value?</h3>Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.
Since the price of the fiction book that Jamie brought is $32.99, thus,
Saved amount = 35% of $32.99 =
Thus,
By buying the book on sale and using the coupon, Jamie will save
Option B: $11.55
<h3 />Learn more about percentage here: