Austin & Kaitlyn Kojan invested $195,000 in a business venture. If Kaitlyn invested 2 1/4 as much as Austin invested, how much money did Kaitlyn invest?

Answers

Answer 1

Answer: $Kaitlyn =2 (1)/(4) \cdot Austin \n\nKaitlyn +Austin =\$195,000\n\n2 (1)/(4) \cdot Austin+Austin =\$195,000\n\n3 (1)/(4) \cdot Austin =\$195,000\n\n (13)/(4) \cdot Austin =\$195,000\ /\cdot (4)/(13) \n\nAustin =13\cdot \$15,000\cdot (4)/(13)= \$60,000\n\nKaitlyn =2 (1)/(4) \cdot Austin= (9)/(4) \cdot \$60,000=9\cdot\$15,000=\$135,000\n\nAns.\Kaitlyn\ did\ \$135,000\ invest.$

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A square is always, sometimes, or never a rhombus?

Answers

The answer is always.

Hope this helped! =)

A square is always a rhombus.

Which expression could be used to solve the problem? Gem counted 54 wheels on 3 semitrucks. The same number of wheels were on each semitruck. How many wheels were on each semitruck? A. B. 54 • 3 C. 54 – 3 D. 3 + 54

Answers

Here, we could simply divide the values.

54/3 = 18

So, the correct answer is :-

54 divided by 3

54/3 = 18
which concludes 18 wheels on one semitruck. ( seems a lot for me :) )

103.561 + 102.327 PLZ ANSWER ASAP

Answers

the answer is 205.888

What is the solution set of the following equation? 4x 2 - 25 = 0 {±} {±} {±5}

Answers

Answer:

$\large\boxed{x=\pm(5)/(2)}$

Step-by-step explanation:

$4x^2-25=0\qquad\text{add 25 to both sides}\n\n4x^2=25\qquad\text{divide both sides by 4}\n\nx^2=(25)/(4)\to x=\pm\sqrt{(25)/(4)}\n\nx=\pm(√(25))/(\sqrt4)\n\nx=-(5)/(2)\ \vee\ x=(5)/(2)$

Final answer:

The solution set of the equation 4x² - 25 = 0 is {±2.5}.

Explanation:

The given equation is a quadratic equation of the form ax² + bx + c = 0, where a = 4, b = 0, and c = -25. To find the solution set, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we have:

x = (-0 ± √(0² - 4(4)(-25))) / (2(4))

Simplifying further, we have:

x = (±√(0 + 400)) / 8

x = ±√(400) / 8

x = ±20 / 8

Hence, the solution set of the equation is {±2.5}.

Learn more about Quadratic equations here:

brainly.com/question/30098550

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What are 2 numbers that when multiplied together you get 360 and when added together you get -96

Answers

x + y = -96;
x * y = 360;

$t^(2) + 96t + 720 = 0$ ;
Δ = $96^(2) - 4 * 720 = 6336$ => sqrt(Δ) = 79.6;
=> x = ( - b + sqrt(Δ) ) / 2a => x = ( -96 + 79.6 ) / 2 ≈ - 8.2;
=> y = ( - b - sqrt(Δ) ) / 2a => x = ( -96 - 79.6 ) / 2 ≈ - 87.8;

The difference between nine times a number an 7 is -70. find that number