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3 years ago

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What’s the correct answer A.1 B.2 C.3 D.4 E.5

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skad [1K]3 years ago

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Please like it if you did find it good :) !

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How far will the car have traveled after 10 hours

Alecsey [184]

The answer is C. 650

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A recipe for lemonade calls for 1 cup of sugar and 5cups of water. How much sugar is used per cup of water?

umka2103 [35]

1/5th of a cup of sugar is used.

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What is the simplified version of 3\sqrt{135}

Aleonysh [2.5K]

Answer:

The simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

Step-by-step explanation:

The given expression is

$\sqrt[3]{135}$

According to the property of radical expression.

$\sqrt[n]{x}=(x)^{\frac{1}{n}}$

Using this property we get

$\sqrt[3]{135}=(135)^{\frac{1}{3}}$

$\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}$ $[\because (ab)^x=a^xb^x]$

$\sqrt[3]{135}=3\times \sqrt[3]{5}$ $[\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]$

$\sqrt[3]{135}=3\sqrt[3]{5}$

Therefore the simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

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3 years ago

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Find the 30th term of the following sequence. 1, 7, 13, 19, ... 174 175 180 181.

Tems11 [23]

Checking if the sequence is an arithmetic sequence 7 - 1 = 6 13 – 7 = 6 Therefore the sequence is arithmetic, with a_0 = 1 and d = 6 a_n = a_0 + (n-1)d a_30 = 1 + (29)(6) = 175 Therefore the 30th term is 175.

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3 years ago

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The house has a form of a rectangle with one side two and a half times as long as the other side. a Construct the expression for

Nookie1986 [14]

Answer: $A=2.5x^{2}$

Step-by-step explanation:

1. Let's write the following formula for calculate the area of a rectangle:

$A=yx$

Where $y$ is the lenght (the longer side) and $x$ is the width (the shorter side).

2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

$y=2.5x$

3. So, you must substitute $y$ into the equation for calculate the area of the rectangle and then you must simplify.

4. Then, you obtain the following expression:

$A=(2.5x)(x)\\A=2.5x^{2}$

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3 years ago