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3 years ago

14

Mia took RM210 with her to the mall. At the music store she spent 2/3 of her money on BTS CD and 1/4 of what was left she spent

on food. How much money does Mia have after she bought the soda?
what the answer?

1 answer:

Aneli [31]3 years ago

5 0

Step-by-step explanation:

210÷3×2=140 (140)CD

210-140=70 (70)left

70÷4×1=17.50 (17.50)food

70-17.50=52.50 (52.50)left

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vichka [17]

<h3>Answer:</h3>

$a)\ x_1=-9,\ x_2=9\\\\b)\ x_1=1,\ x_2=5$

<h3>Step-by-step explanation:</h3>

<u>Given equations:</u>

$a)\ 2x^2 - 162 = 0\\\\b) -\dfrac{1}{2}(x-3)^2=-2$

A) 2x² - 162 = 0

Step 1: Divide both sides by 2.

<h3> $\\\implies \dfrac{2x^2 - 162}{2} = \dfrac{0}{2}\\\\\implies x^2-81=0\\\\\implies x^2=81$ </h3>

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies \sqrt{x^2}=\sqrt{81}\\\\\implies x=\pm\ 9$

Step 3: Separate into two cases.

$\implies x_1 = -9,\ x_2 =-9$

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B) -1/2(x - 3)² = -2

Step 1: Multiply both sides by -2.

$\\\implies -2\left(-\dfrac{1}{2}(x-3)^2\right)=-2(-2)\\\\\implies (x-3)^2=4$

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies\sqrt{(x-3)^2}=\sqrt{4}\\\\\implies x-3=\pm\ 2$

Step 3: Separate into two cases and solve each one. $1)\ x-3=-2\implies x=-2+3\implies \boxed{x=1}\\\\2)\ x-3=2\implies x=2+3\implies \boxed{x=5}$

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If (x + y)^2 = 105 and x^2 + y^2 = 65, what is the value of xy?

lesya692 [45]

$\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}$

$(x + y) ^2 = 105$

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$\text{Given that } x^2 + y^2 = 65,$

$65 + 2xy = 105$

$2xy = 105 - 65$

$2xy = 40$

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$\boxed { \boxed {\text{Answer: xy = 20}}}$

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Answer:

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Step-by-step explanation:

A quadrilateral with equal-length sides is a <em>rhombus</em>.

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