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2 years ago

• Jami and Mami together had $32. Jami

Mathematics

1 answer:

Alex17521 [72]2 years ago

8 0

Answer:

Jami has $13.5

Mami has $18.5

Step-by-step explanation:

Let j = Jami's money

m - Mami's money

j + m = 32

j = m - 5 (Since Jami basically has 5 less than Mami)

Substitute the j in the top equation

m - 5 + m = 32

2m - 5 = 32

Add 5 to both sides

2m - 5 = 32

2m = 37

Divide both sides by 2

2m/2 = 37/2

m = 37/2 = 18.5

Now plug the new m into the bottom equation

j = 18.5 - 5

j = 13.5

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Strike441 [17]

Length = 12 m and width = $\frac{7}{2}$ m.

Solution:

Let the width of the rectangle be w.

Length of the rectangle = 2w + 5

Area of the rectangle given = 42 m²

Area of the rectangle = length × width

length × width = 42

(2w + 5) × w = 42

$2w^2+5w=42$

Subtract 42 from both sides, we get

$2w^2+5w-42=0$

Using quadratic formula,

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, $a=2, b=5, c=-42$

$$w=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-42)}}{2 \cdot 2}$

$$w=\frac{-5 \pm \sqrt{25+336}}{4}$

$$w=\frac{-5 \pm \sqrt{361}}{4}$

$$w=\frac{-5 \pm19}{4}$

$$w=\frac{-5+19}{4}, w=\frac{-5-19}{4}$

$$w=\frac{14}{4}, w=\frac{-24}{4}$

$$w=\frac{7}{2}, w=-6$

Dimension cannot be in negative, so neglect w = –6.

Width of the rectangle = $\frac{7}{2}$ m

$$L=2(\frac{7}{2} )+5=12 \ m$

Hence length = 12 m and width = $\frac{7}{2}$ m.

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My name is Ann [436]

B. would be the correct answer

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4 years ago

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umka2103 [35]

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ludmilkaskok [199]

Hey There!

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4 years ago

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il63 [147K]

Answer:

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