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2 years ago

Carlos has $24, which is 1 1/3 as much money as Luisa has. How much money does Luisa have?

Mathematics

2 answers:

aliina [53]2 years ago

7 0

Answer:

Luisa has $18

Step-by-step explanation:

Let us solve the question

∵ Carlos has $24

∵ Carlos has 1 $\frac{1}{3}$ as much money as Luisa has

→ Let Luisa has x dollars

∵ Luisa has x dollars

∴ Carlos money = 1 $\frac{1}{3}$ × x

∴ Carlos money = 1 $\frac{1}{3}$ x

→ Change the mixed number to an improper fraction

∵ 1 $\frac{1}{3}$ = $\frac{1(3)+1}{3}$ = $\frac{4}{3}$

∴ Carlos money = $\frac{4}{3}$ x

→ Substitute the Carlos money by 24

∵ 24 = $\frac{4}{3}$ x

→ Multiply both sides by 3

∵ 24 × 3 = 4x

∴ 72 = 4x

→ Divide both sides by 4

∴ 18 = x

∴ Luisa has $18

Goryan [66]2 years ago

4 0

Answer:

18 bucks

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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A principal of $4,570 is placed in an account that earns 4. 5% interest. If the interest is compounded annually, how much money

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2 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

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3 years ago

+8.2+(−7.9)=

vichka [17]

Answer:

Step-by-step explanation:

Progr

Introdu

Transla

-7 -6 -5 -4

-32

À 3 4 5 6 7

-2

-3

Quiz 1

-4+

-5

Unit

Do 5 problems

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2 years ago

What is the equation of the line that passes through the point (-5,3)(−5,3) and has a slope of fraction -6/5

Allushta [10]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1 = -5 and y_1 =3 and m= -6/5

the equation : y - 3 = -6/5(x +5)

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2 years ago