Answer: incomplete question
Complete question:A group sold 150 flowers and trees. They sold the flowers for $3.00 each and the trees for $2.00 each. They made $300.00 from this sale.
Which equation will help to determine the number of flowers and the number of trees sold?
A. 2F + 3T = 150
B. F + T = 300
C. 3F + 2T = 300
D. F + T = 150 + 300
Answer: C. 3F + 2T = 300
Step-by-step explanation:
Let F stand for flower and T for trees
Flowers sold for $3 and trees sold for $2
Therefore, F + T = 150. . .1
3F + 2T = $300. . .2
Equation 2 would help determine the cost of selling tree.
3F+2T=$300
Answer:
-12(y-4x)
Step-by-step explanation:
-12y+48x=-12(y-4x)
Answer:
Length = 37 feets
Width = 44 feets
Step-by-step explanation:
Given that :
Length = l
Width, w = 7 + l
Perimeter , P of rectangle = 162
Recall:
Perimeter of a rectangle = 2(l + w)
P = 2(l + w)
162 = 2(l + (7 + l))
162 = 2(l + 7 + l)
162 = 2(7 + 2l)
162 = 14 + 4l
162 - 14 = 4l
148 = 4l
l = 148 / 4
l = 37 feets
Width = l + 7
Hence,
Width = 37 + 7 = 44 feets
Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.
Rewriting it in terms of x° as follows,
Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,
Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,
To find the value of x, taking inverse sin.
Calculating the value,
Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
