Answer:
Step-by-step explanation:
At Home Depot, Johnny bought 3 rose bushes and 7 flats of petunias for a total of $114.75.
Let x = rose bushes
Let y = petunias
This means;
3x + 7y = 114.75 ..... (i)
Rosie bought 2 rose bushes and 6 flats of petunias for a total of $89.50.
2x + 6y = 89.50 ..... (ii)
How much does a rose bush cost? How much does a flat of petunias cost?
Multiply eqn (i) by 2 and eqn (ii) by 3.
This results too;
6x + 14y = 229.5 .... (iii)
6x + 18y = 268.5 .....(iv)
Subtract eqn (iii) from eqn (iv)
This results to;
4y = 39
y = 39 / 4 = $9.75
Subt the vale of y in eqn ii
2x = 89.50 - 6y
x = (89.50 - 6y) / 2
x = (89.50 - 6(39 / 4)) / 2
x = 31 / 2 = $15.5
35 = 5*7
7 = 5*5 -18
The dimensions of the rectangle are: length = 7 cm, width = 5 cm.
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It is handy to know your times tables.
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If you want, you can write a couple of equations and solve them.
.. L = 5W -18
.. LW = 35
Substituting for L, we have
.. (5W -18)W = 35
.. 5W^2 -18W -35 = 0 . . . . put in standard form
.. (W -5)*(5W +7) = 0 . . . . . factor
.. W = 5 or -7/5 . . . . . . . . . we are only interested in the positive solution
The width of the rectangle is 5 cm; its length is 7 cm.
Answer: R,G,Y,B,O
Step-by-step explanation: Sample space is just any and all possible outcomes
Answer:
Not valid: DF is perpendicular to EG (2nd)
Step-by-step explanation:
Not all parallelograms whose opposite sides are parallel is a rhombus. A rhombus's special characteristic is that their diagonals are perpendicular to each other.
The answer is : f(x) =3sin(2x+pi/2)
Explain
There 0,3 on the graph
You use this formula
f(x)=asin(kx-c)+h
and the maximum and minimum value of this function
a+ h and -a+ h
So a=3 and h=0
So we have
We have; f(x)= 3sin(kx - c)
and we have from the graph;
f(O)=3
So
Sin(-c) =-1
Therefore C=. Pi/ 2 +2pi n
We have period of the function is pi
2pi/ k
k=2
So it will equal Pi
Do you have any doubts ?