A number cube has six faces, numbered 1 to 6. John tossed two number cubes several times and added the numbers each time

Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told

valentina_108 [34]

Answer:

Answer: $109.99

Step-by-step explanation:

The total amount saved, $96.16, should be divided by the number of tires, 4. The answer is $24.04. Add $24.04 to the price of a single tire, $85.95, and the answer is $109.99, the original price of one tire.

4 0

2 years ago

The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty member

larisa86 [58]

Answer:

111

Step-by-step explanation:

It is given that the student to faculty ratio at a small college is 17:3.

Let number of students and faculty members are 17x and 3x respectively.

It is given that total number of students and faculty is 740.

$17x+3x=740$

$20x=740$

Divide both sides by 20.

$x=37$

Number of student $=17\times 37=629$

Number of faculty members $=3\times 37=111$

Therefore, there are 111 faculty members at the college.

3 0

2 years ago

Paulina is remodeling her bathroom. the tile she has chosen are squares and trapezoids. the side length of each square inthe til

NemiM [27]

Check the picture below.

is not very specific above, but sounds like it's asking for an equation for the trapezoid only, mind you, there are square tiles too.

but let's do the trapezoid area then,

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\$

$\bf A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
A=At\\
a=x\\
h=x\\
b=2x
\end{cases}\implies At=\cfrac{x(x+2x)}{2}
\\\\\\
At=\cfrac{x(3x)}{2}\implies At=\cfrac{3x^2}{2}\impliedby \textit{now, solving for \underline{x}}
\\\\\\
2At=3x^2\implies \cfrac{2At}{3}=x^2\implies \sqrt{\cfrac{2At}{3}}=x\implies \left( \frac{2At}{3} \right)^{\frac{1}{2}}=x$