Ask question

Ask question

All categories

3 years ago

6

Every sixth visitor to an animal shelter gets a free animal calendar.every twentieth vistor gets a free animal toy.which visitor

will be the first to get both

1 answer:

Stolb23 [73]3 years ago

6 0

You will need to find the lowest common multiple.
6 = 2 x 3
20 = 2 x 2 x 5
LCM = 2 x 2 x 3 x 5 = 60
The 60th visitor will be the first to get both.

You might be interested in

Solving Rational equations. LCD method. Show work. Image attached.

Dmitry [639]

Answer:

$b=1$

Step-by-step explanation:

The given rational equation is

$\frac{2b-5}{b-2} -2=\frac{3}{b+2}$

The Least Common Denominator is $(b+2)(b-2)$ .

Multiply each term in the equation by the LCD.

$(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}$

Simplify;

$(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}$

$(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)$

Expand and group similar terms

$2b^2-5b+4b-10 -2(b^2-4)=3b-6$

$2b^2-5b+4b-10 -2b^2+8=3b-6$

$-b-2=3b-6$

$3b+b=-2+6$

$4b=4$

$b=1$

3 0

3 years ago

What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the near

abruzzese [7]

Answer: 904.32 cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = $V = \frac{4}{3}\pi r^{3} \\$

Substitute pi for 3.14 and radius for 6. 6^3 = 216

$\\V = \frac{4}{3}\ (3.14)( 216) \\\\$

Multiply them together, the answer is 904.32 cubic units.

8 0

3 years ago

What are the solutions to this equation?

ziro4ka [17]

$\displaystyle\\(x-4)^2=49\\\\(x-4)^2-49=0\\\\(x-4)^2-7^2=0\\\\(x-4-7)(x-4+7)=0\\\\(x-11)(x+3)=0\\\\x-11 = 0~~~\text{or}~~~x+3=0\\\\x-11=0~~~\implies~~~\boxed{x_1=11}\\\\x+3=0~~~\implies~~~\boxed{x_2=-3}\\\\\boxed{\bf The~solutions~are:~~x =11~~\text{or}~~x =-3}$

8 0

3 years ago

Angle BAC measures 56. What is the measure of angle BDC?

goldfiish [28.3K]

Answer: Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.

4 0

3 years ago

Read 2 more answers

The height of a trapezoid is 9 centimeters. The bases are 8 centimeters and 12 centimeters long. Find the area?

Georgia [21]

To fond the area of a trapezoid, add the top and bottom together, divide that by 2, than multiply by the height.

Area = (8+12)/2 = 20/2 = 10

10 x 9 = 90 square centimeters.

5 0

3 years ago