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3 years ago

2) The marked price of a laptop is Sh.47500. Mimo bought the laptop after the shopkeeper allowed her a

1 answer:

3 0

Answer: 33843.75

Explanation:
Find the amount that amino bought:

47500 x 5/100 = 2375

47500 - 2375 =45125

Find the amount of profit the shopkeeper made:

45125 x 25/100 = 11281.25

Find the amount that the shopkeeper buy from the manufacturer:

45125 - 11281.25 = 33843.75

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Rationalize the numerator. <br><img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B144x%20%7D%20%7D%7B%20%5Csq

Simora [160]

rationalizing the numerator, or namely, "getting rid of that pesky radical at the top".

we simply multiply top and bottom by a value that will take out the radicand in the numerator.

$\bf \cfrac{\sqrt[3]{144x}}{\sqrt[3]{y}}~~
\begin{cases}
144=2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\
\qquad 2^3\cdot 18
\end{cases}\implies \cfrac{\sqrt[3]{2^3\cdot 18x}}{\sqrt[3]{y}}\implies \cfrac{2\sqrt[3]{ 18x}}{\sqrt[3]{y}}
\\\\\\
\cfrac{2\sqrt[3]{ 18x}}{\sqrt[3]{y}}\cdot \cfrac{\sqrt[3]{(18x)^2}}{\sqrt[3]{(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)(18x)^2}}{\sqrt[3]{(y)(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)^3}}{\sqrt[3]{18^2x^2y}}$

$\bf \cfrac{2(18x)}{\sqrt[3]{324x^2y}}~~
\begin{cases}
324=2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 3\\
\qquad 12\cdot 3^3
\end{cases}\implies \cfrac{36x}{\sqrt[3]{12\cdot 3^3x^2y}}
\\\\\\
\cfrac{36x}{3\sqrt[3]{12x^2y}}\implies \cfrac{12x}{\sqrt[3]{12x^2y}}$

3 0

3 years ago

Read 2 more answers

Question #19- Use the answer bank below to fill in missing parts of the proof.

serious [3.7K]

Answer:

∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)

∠PQR ≅∠PRQ: Reason; CPCTC

Step-by-step explanation:

$\overline{PQ}\cong \overline{PR}$ : Reason; Given

Draw $\overline{PM}$ so that M is the midpoint of $\overline{QR}$ : Reason; Two points determine a line

$\overline{QM}\cong \overline{RM}$ : Reason; Definition of midpoint

$\overline{PM}\cong \overline{PM}$ : Reason; Reflexive property

ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency

∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC

∠PQR ≅∠PRQ: CPCTC

5 0

3 years ago

Simplify. [6.6 ÷ (–5 + 3)] • (–1)

eimsori [14]

Hi there, we use PEMDAS to solve this problem, PEMDAS is parenthesis, Exponents, Multiply, Divide, Add, and Subtract. In this case, we have [6.6÷(-5+3)]*(-1), 6.6/-5+3(-1)=6.6/-2(-1)=(-3.3)(-1)=3.3. So, your answer is 3.3

8 0

3 years ago

each side of triangle 6cm if jade want to glue pink ribbon around the premeter of triangle how many ribbon will she need

AnnZ [28]

Answer:

18 cm

Step-by-step explanation:

you multiply 6 by 3 to get the answer

5 0

3 years ago

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The first term of a geometric sequence is 6, and the common ratio is 3. What is the 7th term of the sequence?

-BARSIC- [3]

An = a1 r^(n-1)

here a1 = 6 and r = 3 so

a7 = 6 * 3^(7-1)

= 4374 answe

8 0

3 years ago