Answer:
15 cakes can be decorated.
Step-by-step explanation:
Given:
Total number of shapes Liu has = 140
Ratio of shape of stars and hearts = 4 : 3
According to the question:
Each cake have 5 stars and 4 hearts.
Let the number of starts be "4x" and number of hearts be "3x" from the ratio.
Now,
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⇒
⇒
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Number of stars =
Number of hearts =
Each cake have 5 stars and 4 hearts .
How many cakes can be decorated with 80 stars.
⇒ No.of cakes = Total number of stars / 5
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How many cakes can be decorated with 60 hearts.
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But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.
Liu can decorate 15 cakes and only.
Answer:
Step-by-step explanation:
1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.
2) If you meant X^2+12x=40:
a) Take half of the coefficient of x: that would be (1/2)(12), or 6.
b) Square this result, obtaining: 6² = 36
c) Add this 36 to x^2 + 12x + 40, and then subtract it: We get:
x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76
We have to add 36, as indicated above, to "complete the square."
Answer:
Part 1 :
Part 2 :
w=6
l = 10
Step-by-step explanation:
Part 1:
Let the width of the rectangle = w
Length of the rectangle = w + 4
Area of the rectangle is given as
60 Sq Yrds
Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.
Part 2:
(w+10)(w-6)= 0
either (w+10) = 0
or
(w-6)=0
or both are zero
(w+10) = 0 ⇒ w = -10
not possible as the dimension can not be 0
(w-6)=0 ⇒ w=6
Hence the width is 6 yards
And thus the length will be 6+4 = 10 yards
This is the same as averaging. You add them and divide by 2.
((m/n) + (p/q))/2 would be a number in between m/n and p/q.
Do note that n and q must be nonzero, but luckily that is a given.
Answer:
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of one side. Equivalently, x^2 = A.
Here x^2 = 225 yd^2. Taking the positive square root of both sides, x = 15 yd.
Thus, the perimeter of the square area enclosed by the fence is
P = 4(15 yd) = 60 yd