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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.

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A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +3. It then

Anna11 [10]

Answer:

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at +3.0

Move left <u> - 1.5 </u>

Now at +1.5

Step 2

Start at +1.5

Move right <u> + 4.9 </u>

Now at +6.4

Step 3

Start at +6.4

Move left <u> - 7.6 </u>

Now at -1.2

The ant is now at -1.2 cm.

6 0

3 years ago

Find the surface area of the composite figure.

ELEN [110]

Answer:

$644cm^2$

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to $2\times(30+100+120)-72=428 cm^2$ .

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's $2\times(24+48)+72=216cm^2$ .

So the total surface area is $428+216=644cm^2$ .

6 0

1 year ago

Just need the equation

Anna007 [38]

$a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}$

Each of the equations can be solved as shown below:

a. $3x + 7 = - x - 1$

$3x + 7 + x = - x - 1 + x$ (<em>addition property of equality</em>)

$4x + 7 = - 1\\4x + 7 - 7 = -1-7$ (<em>Subtraction property of equality</em>)

$4x = -8\\\frac{4x}{4} = \frac{-8}{4}$ <em> (Division property of equality)</em>

<em /> $x = -2$

b. $1 - 2x + 5 = 4x - 3\\$

<em>Add like terms </em>

<em /> $6 - 2x = 4x - 3\\\\6 - 2x - 6 = 4x - 3 - 6$ (<em>Subtraction property of equality</em>)

$- 2x = 4x - 9\\-2x - 4x = 4x -9 - 4x$ <em> (Subtraction property of equality)</em>

<em /> $-6x = -9 \\\frac{-6x}{-6} = \frac{-9}{-6}$ <em> (Division property of equality)</em>

<em /> $x = \frac{3}{2}$

c. $4x - 2 + x =-2 + 2x\\$

$5x - 2 = -2 + 2x\\5x - 2x = -2 + 2\\3x = 0\\ x = \frac{0}{3} \\x = 0$

d. $3x - 4 + 1 = - 2x -5 + 5x\\$

$3x - 3 = - 7x -5\\3x + 7x = 3 - 5\\10x = -2\\x = \frac{-2}{10} \\x = -\frac{1}{5}$

<em>The value of x in each </em><em>equation</em><em> are:</em>

<em /> $a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}$

Learn more here:

brainly.com/question/1527981

5 0

3 years ago

Please help me I need to know the surface area of these 6 shapes <br><br><br><br><br><br><br> 6.

alukav5142 [94]

Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

7 0

2 years ago

How do the lengths of line segments define the golden ratio?

NISA [10]

Answer:

$\frac{a+b}{a}=\frac{a}{b}$

Step-by-step explanation:

The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true $\frac{a+b}{a}=\frac{a}{b}$ .

When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.

Example:

If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion $\frac{a+b}{a}=\frac{a}{b}$ .

$\frac{30.9+19.1}{30.9}=\frac{30.9}{19.1}$

$\frac{50}{30.9}=\frac{30.9}{19.1}$

1.618 = 1.618

This is the golden ratio.

5 0

3 years ago