Answer:
L=21.6in and w=13.6
Step-by-step explanation:
If the length is 8 inches longer than its width, we can write the width as "w" and the length as the width w+ 8
Area is (width)(Length) = (width)(width+8)
W
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| |
| |
| | L = w+8
| |
| |
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A = (w+8)(w)
A = w2 + 8w = 295.
(Problem states that area is 295 sq in)
Need to solve this quadratic equation
w2 +8y - 295 = 0
Factor:
(w - 13.64) (w + 21.64) = 0
So
w - 13.64 = 0. or. w + 21.64= 0
Solve these and get
w = 13.64. or. w = -21.64
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 13.64 inches
Length = 21.64 inches
Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
<u>Answer:</u>
The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter
<u>Explanation</u>:
Consider the number of cup of flour used to be x
According to question,
Recipe calls for 1.5 times as much flour as sugar
Sugar =
Sugar = 1.5x
Butter = ½ x = 0.5x
According to question,
Flour + Sugar + Butter = 7.5
x + 1.5x + 0.5x = 7.5
3x = 7.5
x = 2.5
Sugar = 1.5x = 1.5(2.5) = 3.75
Butter = 0.5(2.5) = 1.25
Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter
Answer:
a) Unit price :
- 12 cupcakes for $29 = $2.42
- 50 cupcakes for $129 = $2.58
Reasoning:
- 12 cupcakes for $29 = $29 ÷ 12 cupcakes which gives 2.416666667 and if rounded off gives you $2.42.
- 50 cupcakes for $129 = $2.58 accurately.
b) 12 cupcakes for $29 gives the lowest unit price as $2.42 is less than $2.58.
<em>I hope this answer will help you !!!!</em>
You do 6/4 to find that each friend gets 3/2 or 1.5 apples
