Picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts.

A ratio compares two quantities and can form a proportion when two ratios are equivalent. A unit rate is a ratio with one quantity of one, while a unit scale compares actual object dimensions to a model or drawing. These concepts are used in various fields, including health sciences and when working with scale models or maps.

A ratio is a comparison between two different quantities. When we express ratios, we can use a fraction format, a colon, or the word 'to'. Examples include 2/3, 2:3, and '2 to 3'. In certain situations, this comparison can lead to the formation of a proportion, which occurs when two ratios are equivalent, like 1/2 = 3/6. Proportions are especially useful when we deal with scale distances or dimensions, such as in map reading or model building.

A unit rate is a type of ratio in which one of the quantities is one. An example would be 55 miles per hour or 55 miles/1 hour. This is often used when discussing speed or cost per unit.

Similar to a unit rate is a unit scale, which compares the actual dimensions of an object to the dimensions of a model or drawing of the object. An example of a unit scale is 1 inch = 100 feet, which can be written as a ratio of 1 inch/100 ft.

In sectors like the health sciences, ratios are used to describe solutions and are given in terms of proportions, for example, 1:1000. In making comparisons or constructing models, we might set ratios equal to the unit scale to form proportions for various dimensions like length and width.

Four different situations accurately describe ratios.

Certainly! Let's evaluate each situation to see if it accurately describes a ratio.

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
This situation does describe a ratio: 5 green fruit loops to 13 total pieces. The ratio is 5:13.

Tobias picked five daisies and eight roses.
This situation does describe a ratio: 5 daisies to 8 roses. The ratio is 5:8.

Aly painted eight trees for every three birds.
This situation does describe a ratio: 8 trees to 3 birds. The ratio is 8:3.

For every eight shots, Micah made five baskets.
This situation also describes a ratio: 5 baskets to 8 shots. The ratio is 5:8.

So, all four situations accurately describe ratios.

The complete question is:

Which situations accurately describe a ratio of? Select all that apply.

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.

Tobias picked five daisies and eight roses.

Aly painted eight trees for every three birds.

For every eight shots, Micah made five baskets.

Answer:

[tex]3,944ft^{2}[/tex] of marble is needed.

Step-by-step explanation:

The picture below represents the top of the Washington Monument, with 4 triangles, one on the base and the other 3 forming the monument.

First of all whe have to find the area of one pyramid:

[tex]A=\frac{height*width}{2}[/tex]

Replacing the values, we have:

[tex]A=\frac{58ft*34ft}{2}[/tex]

[tex]A=986ft^{2}[/tex]

As we have 4 triangles forming the top of the Monument, we have to multiply by 4 to find the quantity of marble to use:

Quantity of marble=Area of each triangle * quantity of triangles

Quantity of marble=[tex]986ft^{2}*4[/tex]

Quantity of marble=[tex]3,944ft^{2}[/tex]

To find the area of marble covering the Washington Monument's pyramid faces, calculate the area of one triangular face (985 square feet) and then multiply by 3, resulting in approximately 2955 square feet.

The Washington Monument's pyramid at the top has triangular faces that are covered with white marble. Each face is 58 feet tall and 34 feet wide. To find the total area covered by marble, we need to calculate the area of one triangular face and then multiply by the number of faces.

Therefore, approximately 2955 square feet of marble cover the faces of the pyramid.

Answer:

Volume of right circular cylinder(V) is given by:

[tex]V = \pi r^2h[/tex]                 ......[1]

where,

r is the radius of the cylinder

h is the height of the cylinder.

As per the statement:

A right circular cylinder with a diameter at 46.25 cm and a height of 18.5 m

⇒diameter(d) = 46.25 cm and height(h) = 18.5 cm

We know that:

diameter(d) = 2r

then;

[tex]46.25 = 2r[/tex]

Divide both sides by 2 we have;

[tex]23.125 = r[/tex]

or

r = 23.125 cm

Substitute these given values in [1] we have;

Use [tex]\pi = 3.14[/tex]

[tex]V = 3.14 \cdot (23.125)^2 \cdot 18.5[/tex]

⇒[tex]V = 31,064.5351 cm^3[/tex]

Therefore, the volume of a right circular cylinder to the nearest hundredth is, 31,064.54 cubic centimeters.

Answer:

3) y = -1 + (1/2)x

This is a linear function.

4) y = 1.7(4^x)

This is an exponential function.

To graph a line with a given slope passing through a point, use the point-slope form of a linear equation. Convert the equation to slope-intercept form, [tex]y = mx+b[/tex]. Plot the line on a graph using the y-intercept and the slope to find additional points.

To graph a line with a given slope and passing through a point, we can use the point-slope form of a linear equation, y - y1 = m(x - x1). In this case, the point-slope form would be y - 1 = (-2/3)(x - 2). We can simplify this equation into slope-intercept form, y = mx + b, by distributing the slope and rearranging the terms. After simplifying, the equation becomes y = (-2/3)x + 7/3. Finally, we can plot the line on a graph using the slope-intercept form equation by identifying the y-intercept at (0, 7/3) and using the slope to find additional points on the line.

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Answer:

[tex]-\frac{1}{2}y-\frac{11}{24}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}\:-\:\frac{1}{2}y-\frac{5}{6}\\\\  =-\frac{1}{2}y+\frac{3}{8}-\frac{5}{6}\\\\  =-\frac{1}{2}y-\frac{11}{24}[/tex]

Hello!

Your answer is  -1/2y  -  11/24

Answer:

[tex]\frac{2}{3}\ cups\ of\ flour[/tex]

Step-by-step explanation:

we know that

Vincent uses 2 cups of flour for every 12 muffin that he make

so

Using proportion

Find out what is the total number of cups of flour Vincent will use to make 4 muffins

Let

x -----> the total number of cups of flour

[tex]\frac{2}{12}\frac{cups\ of\ flour}{muffins}=\frac{x}{4}\frac{cups\ of\ flour}{muffins}\\\\x=2*4/12\\\\x=\frac{2}{3}\ cups\ of\ flour[/tex]

Answer:

3 x's

Step-by-step explanation:

The width is 6 inches and the length is 24 inches.

To find the dimensions of the rectangle when given the area and the relationship between length and width, we will use algebra. Let the width be w inches. The length is 4 times the width, so the length is 4w inches. The area of the rectangle is w times the length (4w), which gives us w * 4w = 144 square inches. Simplifying, this equation becomes 4w^2 = 144 inches2. To find w, we divide both sides by 4, getting w^2 = 36. Taking the square root of 36 gives us w = 6 inches. Since the length is four times the width, the length is 24 inches. Therefore, the dimensions of the rectangle are 6 inches by 24 inches.

Answer:

6 units

Step-by-step explanation:

Answer:

($560-$500) / $500 * 100%= 12%

Step-by-step explanation:

Hope it helps

1) a yes 2

2) c 405

3) b an=-4 (-2) -64

4) a triangle 4

5) b -1.75

Answer:

The first step to solve the equation Addition Property of Equality.

Step-by-step explanation:

Given the equation

[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]

we have to find the first step to solve the above equation.

To solve the above equation we have to combine the like terms here we have to combine the constant terms.

[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]

[tex]\text{Therefore, to solve the equation we have to add }\frac{3}{4}\text{ on both sides}[/tex]

[tex]\frac{x}{4}-\frac{3}{4}+\frac{3}{4}=16+\frac{3}{4}[/tex]

[tex]\frac{x}{4}=\frac{67}{4}[/tex]

[tex]x=67[/tex]

Hence, the first step to solve the equation is the

Addition Property of Equality