5 cups to 8 cups identify the percent

Flora made 7 withdrawals of $75 each from her bank account. What was the overall change in her account ?

qaws [65]

525 dollars 75x5= 525

6 0

3 years ago

A 96 foot tree casts a shadow that is 120 feet long. What is the angle of elevation of the sun? Round to the nearest degree.

zysi [14]

Answer:

$\alpha \approx 39^{\circ}$

Step-by-step explanation:

Let assume that tree grows perpendicular to surface. The statement is geometrically represented in the attachment included below, which resembles a right-angled triangle. Lastly, the angle of elevation of the sun is determined with the help of the following trigonometric relationship:

$\tan \alpha = \frac{96\,ft}{120\,ft}$

$\tan \alpha = \frac{4}{5}$

$\alpha = \tan^{-1}\left(\frac{4}{5} \right)$

$\alpha \approx 38.660^{\circ}$

$\alpha \approx 39^{\circ}$

4 0

4 years ago

The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm

hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

$V=100+20m$ (in litres)

m is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for $5\frac{1}{4}$ minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

$V=100+20m$ ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = $5\frac{1}{4}$ minutes = $\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}$ minutes

And we have to find the value of V after $\frac{21}{4}$ minutes.

Let us put the value of m as $\frac{21}{4}$ minutes in the equation (1) to find the value of V.

$V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}$

So, the volume of water in the pool after $\frac{21}{4}$ minutes is 205 litres.

7 0

3 years ago

Question 10 Express 40 as a product of prime factors

Step2247 [10]

Answer:

2 x 2 x 2 x 5

Step-by-step explanation:

The first few prime numbers: {2, 3, 5, 7, 11, 13, 17, 19}

One way to start is to divide by the first prime until you can't do that any more, then try the next prime and so on until all the numbers in your list are prime.

40 = 2(20) divide 20 by 2 again

40 = 2(2)(10) divide 10 by 2 again

40 = 2(2)(2)(5) stop--all factors are prime.

5 0

3 years ago

HELP ME QUICK PLEASEEEE solve for x: 2/x-2+7/x^2-4=5/x

Anna35 [415]

$\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0$

$\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}$

3 0

3 years ago