Answer:
Shyla will pay about 63 cents to cover the box
Step-by-step explanation:
Length of the box ( l ) = 7 inches
Width of the box (b) = 11 inches
Height of the box (h) = 8 inches
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<em>We can solve this equation by following two simple steps.</em>
1. The first step is to find the total surface area of the box. This is the total area that the decorative fabric will be covering.
We can get this by the following formula:
SA=2( length X width) +2( length X height )+2(height X width)
SA = 2( 7 X 11 ) + 2(7 X 8) + 2 (8 X 11 ) = 442 square inches
2. The second step is to divide the total surface area by the price of the fabric per square inch.
This will be 442 square inches divided by 7 cents per square inch = 63.14 cents
Shyla will pay about 63 cents to cover the box
Answer:
The circumference of the circle is 5π
Step-by-step explanation:
First we need to calculate the diameter
for this we have to know the distance between A(1, 3) and B(4, 7)
X = Xb - Xa
X = 4 - 1
X = 3
Y = Yb - Ya
Y = 7 - 3
Y = 4
b - a = (3 , 4)
now that we have the distance of x and r we can calculate its distance using Pythagoras
h = hypotenuse
x = leg 1 = 3
y = leg 2 = 4
h² = x² + y²
we replace the known values
h² = (3)² + (4)²
h² = 9 + 16
h² = 25
h = √25
h = 5
The diameter of the circle is 5
Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:
c = circumference
d = diameter = 5
π = pi
c = π * d
we replace with the known values
c = 5 * π
c = 5π
The circumference of the circle is 5π
6.32 is the final answer! :)
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
Answer: There are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
Step-by-step explanation:
Let x be the number of streets named as First Street .
y be the number of streets named as Main Street.
AS per the given information, we have the following system of equations :
Substitute the value of x from (2) in (1) , we get
Put value of y in (2), we get
Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
