1.
a. your answer is correct
b. 60 and hndreths=60.08
c. 16 and 8 thousanths=16.008
d. 60 and 8 tenths=60.8
e. your answer is correct
f. your answer is correct
2. 16.207, 6.9, 16.19, 16.26
so the greatest is obviously one of the 16's
compare
16.207, 16.190, 16.260
obviously, the order is 16.260,16.207,16.190
then the last one is 6.9 so the order is 16.26,16.207, 16.19, 6.9 and the numbers in order is 2,4,3,1
3. I can't see the puzzle that well, but 11.88 is more than 11.50 since 0.88 is more than 0.50
4. can't see the puzzle that mmuch
hundreths is 0.0x x is the hundrreths since exg 1/100=1 hundreths=0.01
5. remember if the number is more than five round up and if less than 4 round down so
10.5, 10.6, 10.7 10.8 10.9 10.1 10.2 10.3 10.4 would work
6. tenth=0.8 so the numbers could be 17.81, 17.82 17,83
7.rembmber the decimal places and line them up so again
6.081, 6.082 6.083 and so on
8. 1/2=0.5 or 0.50000
9. the greatest decimal
first find the greatest whole number
60
then find all the 60's and read from left to right the numbers after the decimal, the biggest number to the left is bigger, if they are the same, move one place to the right and count again
10. I can't seee the puzzzle very clearly but hte answer is pirates
Answer:
13 not including Shawna
Step-by-step explanation:
First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.
Answer: 160ft.
Step-by-step explanation:
First find the area of the 48ft x 100ft rectangular back yard.
Area of a rectangular = L x B
= 48 x 100
= 4800ft²
Now, find 1/4 of the rectangular backyard meant for garden
= 1/4 of 4800
= 1200ft²
Step 2:
To find the perimeter of the garden,first find the length and breath of the garden. From the dimension of the garden, the length is 40ft > width. In interpreting this,
We make the width of the garden to be. B = xft,
Therefore. L = (x + 40)ft
Now equate the product of this to 1200ft
x(x + 40) = 1200
Open the bracket
x² + 40x = 1200
x² + 40x - 1200 = 0
This is now a quadratic expression. Solving for x using any methods
x² + 60x - 20x - 1200 = 0
Solving by grouping
x(x + 60) - 20(x + 60) = 0
Collect common factors here
(x + 60)(x - 20) = 0
Therefore, x = -60 or 20
Remember, x cannot be negative, so x = 20ft. The width = 20ft, and the length = 60ft.
With this, we can determine the perimeter.
Formula for perimeter of a rectangular block
= 2( L + B )
= 2( 60 + 20 )
= 2(80)
= 2 x 80
= 160ft.
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
