Well you do 228/12 to find your answer and that is 19 and to check you do 12*19=228
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
a) x = 62
b) x = 33
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(2x-3) = 11
Square both sides
2x - 3 = 121
add 3 to both sides of the equation
2x = 124
divide by 2 both sides
x = 62
Let´s check:
√(2x-3) = 11
x = 62
√(2(62)-3) = 11
√(124-3) = 11
√121 = 11
11 = 11
x = 62 satisfies the equation
b) Let´s write the equation:
∛(6 - x) = -3
Cube both sides
6 - x = -27
subtract 6 to both sides
-x = -27 - 6
-x = -33
divide by -1 both sides
x = 33
Now, let´s check the result:
∛(6 - x) = -3
x = 33
∛(6 - 33) = -3
∛(-27) = -3
-3 = -3
x = 33 satisfies the equation
Answer:
B) 47 units²
Step-by-step explanation:
It can be done by finding the area of the black, but it will be much easier to find the area of the white and subtract.
Total area of the grid equals 10x8=80
There are two rectangles at the bottom. 6+8=14
There are 4 triangles that each equal 4.5. 4.5*4=18
There is 1 small triangle at the top that equals 1.
80-14-18-1=47
Answer:
Number of hamburgers bought = 4
Number of hotdogs bought = 9
Step-by-step explanation:
Let
Number of hamburgers bought = n
Number of hotdogs bought = n + 5
Hamburgers cost = $6.25
Hotdogs cost = $3.75
Total cost = $58.75
6.25n + 3.75(n + 5) = 58.75
Open parenthesis
6.25n + 3.75n + 18.75 = 58.75
Collect like terms
6.25n + 3.75n = 58.75 - 18.75
10n = 40
Divide both sides by 10
n = 40 / 10
= 4
n = 4
Number of hamburgers bought = n = 4
Number of hotdogs bought = n + 5
= 4 + 5
= 9