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ICE Princess25 [194]
3 years ago
14

Which choice is equivalent to the expression below?

Mathematics
2 answers:
ehidna [41]3 years ago
4 0

Answer:

B.  7√10.

Step-by-step explanation:

√40 = √4√10 = 2√10

√90 = √9√10 = 3√10

So √40 + 2√10 + √90

=  2√10 + 2√10 + 3√10

= 7 √10.

Varvara68 [4.7K]3 years ago
3 0

ANSWER

B. 7√10

EXPLANATION

The given radical expression is:

\sqrt{40}  + 2 \sqrt{10}  +  \sqrt{90}

We need to remove the perfect square from the first and third term.

\sqrt{4 \times 10}  + 2 \sqrt{10}  +  \sqrt{9 \times 10}

We now share the radical sign to get;

\sqrt{4}  \times \sqrt{10}  + 2 \sqrt{10}  +  \sqrt{9} \times \sqrt{10}

Simplify to get;

2\sqrt{10}  + 2 \sqrt{10}  +  3 \sqrt{10}

This simplifies to

7 \sqrt{10}

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The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
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Answer:

<h2><u><em>30x² − 23x − 14</em></u></h2>

Explanation:

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Length: (6x - 7)

Width: (5x + 2)

  • Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

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= 30x² + 12x − 35x − 14

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7 0
2 years ago
Solve the absolute value inequality: |x + 12| + 5 &lt; 27 Isolate the absolute value by subtracting 5 from both sides.
Feliz [49]

Answer:

- 34 < x < 10

Step-by-step explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

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| x + 12 | < 22, then

- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )

- 34 < x < 10


8 0
3 years ago
Read 2 more answers
$10,000 for 5 years at 4% interest
inessss [21]

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

To know more about simple interest here

brainly.com/question/25845758

#SPJ1

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10 months ago
I HAVE A FEW MINS PLEASE HEELPPP! FOR BRIANLIEST!
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Step-by-step explanation:

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