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3 years ago

Can you help me simplify number 1, it has the options below.

Mathematics

1 answer:

algol [13]3 years ago

4 0

The square root and the squared cancel each other out so it would just be 27 to the first power,which is 27

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Choose the solution to this inequality. 4/3 < − 8/3y

Yuliya22 [10]

Answer:

Rewrite so y is on the left side of the inequality.

−83y>43

Multiply each term by −38 and simplify.

Inequality Form:

y<−1/2

Interval Notation:

(−∞,−1/2)

Step-by-step explanation:

6 0

2 years ago

Please help me answer this question

I am Lyosha [343]

9514 1404 393

Answer:

D. -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

-20/120 = -1/6

As a percentage, that change is ...

-1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

% change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

% change = ((new amount) -(original amount))/(original amount) × 100%

8 0

2 years ago

How many days would it take a construction loan of $548,048 to earn$50,000 exact interest at 9% interest rate?

san4es73 [151]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &50000\\
P=\textit{original amount deposited}\to& \$548048\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years
\end{cases}
\\\\\\
50000=548048\cdot 0.09t\implies \cfrac{50000}{0.09(548048)}=t\implies 1.014\approx t$

8 0

3 years ago

Read 2 more answers

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

zavuch27 [327]

Find ever origin and then multiplying by the scale factor of 2 and i promise you will get your answer

3 0

3 years ago

I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!

frutty [35]

Answer:

17) x=8

18) $x=\sqrt{189}$ or $x= 3\sqrt{21}$

Step-by-step explanation:

So the rule is $a^{2} +b^{2} =c^{2}$ , "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

$x^{2} +x^{2} =(8\sqrt{2}) ^{2}$

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

simplify (╥︣﹏╥)

$2x^2=8^2(\sqrt{2} )^{2}$

$2x^2=64(2)$

$2x^2=128$

$x^{2}= 128/2$

$x^{2} =64$

x=8

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

$c^{2} - b^{2} = a^{2}$