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Musya8 [376]
3 years ago
5

The length of a rectangle is 7mm longer than its width. It’s perimeter is more than 62mm. Let W equal the width of the rectangle

, write an inequality and solve it

Mathematics
2 answers:
olasank [31]3 years ago
6 0
First of all, what is the equation for the perimeter of a rectangle? 
2(l + w) = p
Since we know the perimeter (p) is greater than 62 we can say:
2(l + w) > 62
It is also given that the length is 7 mm longer than the width, so we know the value of the length in terms of w (the width).
w = w
l = w + 7
Substitute l with (w + 7) into the equation:
2[(w + 7) + w] > 62
Now combine like terms in the parentheses
2(2w + 7) >62
Distribute the 2 into the terms in the parentheses
4w + 14 > 62
Subtract both sides by 14
4w > 62 - 14
Combine like terms
4w > 48
Divide both sides by 4
w > 48

Final answer: w > 48
Hope this helps!
lutik1710 [3]3 years ago
4 0
This is the answer to the question.

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7 0
3 years ago
Angie and Brian are running a bakery. They are going to make three kinds of banana bread: regular, one with extra sugar, and one
dolphi86 [110]

Answer:

150 regular loaves

125 loaves with extra sugar

100 loaves with extra bananas.

Step-by-step explanation:

Let R represent loaves of regular bread, S represent loaves with extra sugar, and B represent loaves with extra bananas. If they have 1200 bananas, 1050 cups of sugar, and 1075 cups of flour available, the number of each type of bread that Angie and Brian can make are given by the following system of equations:

3R+2S+5B=1,200\\3R+4S+1B=1,050\\2R+3S+4B=1,075

Solving the linear system:

3R+4S+1B-(3R+2S+5B)=1,050-1,200\\2S-4B=-150\\S=-75+2B\\\\3R+2*(-75+2B)+5B=1,200\\2R+3*(-75+2B)+4B=1,075\\3R+9B=1,350\\2R+10B=1,300\\\\3R+9B-1.5*(2R+10B)=1,350-(1.5*1,300)\\9B-15B=-600\\B=100\\2R+10*100=1,300\\R=150\\3*150+2S+5*100=1,200\\S=125

They should make 150 regular loaves, 125 loaves with extra sugar, and 100 loaves with extra bananas.

7 0
3 years ago
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