All categories

2 years ago

Eight less than the quotient of x and 3

1 answer:

6 0

Quotient is basically the answer you get when you divide two numbers.
For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.

Quotient of x and 3 = $\frac{x}{3}$

Eight less than quotient of x and 3 is $\frac{x}{3} - 8$ .

Hence, the answer is C.

You might be interested in

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

2 years ago

Two groups of students order burritos and tacos at a local restaurant. One order of 3 burritos and 4 tacos coast 11.33. The othe

makkiz [27]

3B + 4T = 11.33 9B + 5T = 23.56 Solve by elimination: Multiply the first equation by -3 to get -9B where the 3B is so that it will cancel with the 9B when the equations are added. -9B - 12T = -33.99 9B + 5T = 23.56 ------------------ -7T = -10.43 T = $1.49 Substitute in 3B + 4T = 11.33 3B + 4(1.49) = 11.33 3B + 5.96 = 11.33 3B = 5.37 B = $1.79 A taco costs $1.49 and a burrito costs $1.79. Therefore 5 burritos and 7 tacos will cost 5B + 7T = 5($1.79) + 7($1.49) = $19.38

7 0

2 years ago

Simplify the expression.

Stells [14]

Answer:

√255

Step-by-step explanation:

If multiplication, just multiply root by root and number by number.

So, √15 . √17 = √255

Hope it helps and is useful :)

4 0

3 years ago

Read 2 more answers

A circle with a diameter of 25 inches

Oksana_A [137]

A =πr2

Π = 3.14

r = ½diameter = 25/2 =12.5 inches

∴ Area = 3.14 × 12.5 × 12.5 square inches

Area = 490.625 square inches

5 0

3 years ago

Which set of side lengths forms a right triangle?

Valentin [98]

15, 36, and 39 ‎ ‎ ‎ ‎

5 0

2 years ago