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vampirchik [111]
3 years ago
5

How do I get 31 to be my answer with placing parentheses somewhere in this expression

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer:

4 + 3² × (5 − 2)

Step-by-step explanation:

4 + 3² × (5 − 2)

4 + 3² × 3

4 + 9 × 3

4 + 27

31

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Brut [27]

Look at the picture.

Let |AE| = |AD| = b

We have a proportion:

\dfrac{x}{13}{y}=\dfrac{19}{y+a}=\dfrac{x}{y+2a}

Solve for y from first proportion

\dfrac{13}{y}=\dfrac{19}{y+a}\ \ \ |\text{cross multiply}\\\\19y=13(y+a)\\\\19y=13y+13a\ \ \ \ |-13y\\\\6y=13a\ \ \ |:6\\\\y=\dfrac{13}{6}a

Substitute to the second proportion

\dfrac{19}{y+a}=\dfrac{x}{y+2a}\\\downarrow\\\dfrac{19}{\frac{13}{6}a+a}=\dfrac{x}{\frac{13}{6}a+2a}\\\\\dfrac{19}{\frac{13}{6}a+\frac{6}{6}a}=\dfrac{x}{\frac{13}{6}a+\frac{12}{6}a}\\\\\dfrac{19}{\frac{19}{6}a}=\dfrac{x}{\frac{25}{6}a}\ \ \ \ |\dot a\neq0\\\\\dfrac{19}{\frac{19}{6}}=\dfrac{x}{\frac{25}{6}}\\\\19\cdot\dfrac{6}{19}=x\cdot\dfrac{6}{25}\\\\6=\dfrac{6x}{25}\ \ \ |\cdot25\\\\6x=6\cdot25\ \ \ |:6\\\\x=25

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7 0
3 years ago
A student has a savings account earning 3% simple interest. She must pay $1900 for first-semester tuition by September 1 and $19
Anastaziya [24]

Answer:

$3781.19

Step-by-step explanation:

Let us assume that the student has to earn $(1900 + x) by September 1 so that he can pay the $1900 tuition fee by September 1 and the remaining $x will grow at 3% simple interest to make him able to pay another tuition fee of $1900 by January 1.

So, we can write x( 1 + \frac{4 \times 3}{12 \times 100}) = 1900

{Because September 1 to January 1 is 4 months and the monthly simple interest rate is \frac{3}{12}%}

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8 0
3 years ago
Integral of x"2+4/x"2+4x+3
dolphi86 [110]

I'm guessing you mean

\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx

First, compute the quotient:

\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

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So the integral becomes

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2 years ago
What are the answer 1/7 of 21
HACTEHA [7]

Answer:

The answer is 3.

Step-by-step explanation:

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