Answer:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used .
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
Now Using Subtraction property we will subtract both side by 30 we get;
Now Using Division Property we will divide both side by 2 we get;
Hence the Width of the garden will be 9 feet.
Answer:
B) −2
Explanation:
When x is positive then y is positive integer.
When x is negative then y is negative integer.
<u>For Option A</u>
- y = -1 [x is negative so is y]
<u>For Option B</u>
- y = 1 [<u>x is negative</u> but <u>y is positive</u>]
<u>For Option C</u>
- y = 7 [x is positive so is y]
<u>For Option D</u>
- y = 9 [x is positive so is y]
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600
Let x = number of bookshelves built.
Let y = number of tables built.
The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)
The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)
Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6
Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit
Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480
If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440
The choice of 8 bookshelves and 10 tables is more profitable.
Answer: 8 bookshelves and 10 tables.
Answer:
a. 
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:
Answer:
Option D
Step-by-step explanation:
From the spinner we see there are 5 colours in there.
These are;
Green, Yellow, Red, Purple, Blue.
This means that when it is spinned, there's possibility of getting only one colour per spin.
Since she tosses a coin as well for each spin, there's a possibility of getting either a tail or head per spin.
This means, all possible outcomes will be 5 × 2 = 10 outcomes.
With each colour possibly showing up with either tail or head.
Correct answer is Option D as it has 10 possible outcomes in the correct order.
