Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = 
× z ........1
Blue eggs = 
× z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
× z + + 26 = z
+ 26 = z ∵GCF for 4 and 7 is 28
+ 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = 
⇒ z = 56
Total number of eggs = z = 56
Answer:
The new dimensions of the field will be 44.8 feet by 19.6
Step-by-step explanation:
since the scale factor is 1.4, all the original dimensions are multiplied by 1.4
32 times 1.4 is 44.8 and 14 times 1.4 is 19.6
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.
2y -3 = y +5
y = 8 . . . . . . . . add 3-y to both sides
_____
<em>Check</em>
This value of y makes the angles ...
(6y -5)° = (6·8 -5)° = 43°
(4y +11)° = (4·8 +11)° = 43°
Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.
Answer:
The equation is:
f(x) = Ix + 3I - 2
Step-by-step explanation:
For a function like:
f(x) = Ix - kI + c
k is the x-value where the vertex is, and c is the y-value where the vertex is.
In the graph we can see that the vertex is in the point (-3, -2)
then:
x-value = -3 = k
y-value = -2 = c
Replacing those in the equation for the function:
f(x) = Ix - (-3)I - 2
f(x) = Ix + 3I - 2
