A scale factor is a dimensionless number used to accurately represent the real-life measurements of an object on a smaller scale in a drawing or model.
The scale factor is used to create a scale drawing is a dimensionless number which represents the ratio of the drawing's dimensions to the actual dimensions of the object. For example, if the scale factor is 1:50, this means that 1 unit in the drawing is equal to 50 units in real life.
When creating a scale model, map, or drawing, you use the scale factor to accurately represent larger objects on a smaller, manageable scale. You would multiply the real measurements by the scale factor if you're scaling down, or divide the drawing measurements by the scale factor if you're scaling up.
23 percent of 432 rounded to the nearest whole number
2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.
Answer:
Drain A [tex]54\ min[/tex]
Drain B [tex]21.6\ min[/tex]
Step-by-step explanation:
Let
x------> the time in minutes
y-----> the volume of the pool in gallons
we know that
The equation that represent the situation is equal to
[tex]y=mx[/tex]
solve for x
[tex]x=y/m[/tex]
Drain A
[tex]x=y/m[/tex]
In this case we have
[tex]m=2\frac{gal}{min}[/tex]
[tex]y=108\ gal[/tex]
substitute
[tex]x=108/2=54\ min[/tex]
Drain B
[tex]x=y/m[/tex]
In this case we have
[tex]m=5\frac{gal}{min}[/tex]
[tex]y=108\ gal[/tex]
substitute
[tex]x=108/5=21.6\ min[/tex]
1) make a trail mix with 5 ingredients. they should make exactly 10 cups but the
ALL THE INGREDIENTS SHOULD BE DIFFERENT MIXED NUMBERS
A math book is 1 and 1/2 inches thick. How many math books will fit on a shelf that is 2 feet long?
Answer:
20 books NOW WHERE IS MY BRAINLY CROWN
Step-by-step explanation:
Find 3 multiple 1,789 how is multiplying a 3 digit number like multiplying a 4 digit number
Multiplication is a method of finding the product of two or more numbers5367 is the 3 multiple 1,789
What is Multiplication?
Multiplication is a method of finding the product of two or more numbers
We need to find 3 multiple 1,789
Three times of one thousand seven hundred eighty nine.
1789 has four digits and 3 has only one digit.
We have to multiply one digit number with all the four digits
1789
× 3
_________
5367
Hence 5367 is the 3 multiple 1,789.
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need help with questions 1-4 immediatley !!
after working for 25 hours, Lamar made $375. After working 40 hours, Lamar made $600. Predict how much he would make after 10 hours of work?
if there are 40 seats per row, how many seats are in 90 rows?
what is 10 1/2 divided by 2 1/4?
Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem. & Write a situation for 15x - 20 < 130
Complete the equation of the line whose slope is -2, and y-intercept is (0,3)
Answer:
y=-2x+3
Step-by-step explanation:
Given the slope intercept form of the general equation of a line below:
y=mx+c,
m is the gradient/slope
c is the intercept on the y-axis.
From the given information:
m=-2 and c=3
Therefore substituting into y=mx+c
The equation is y=-2x+3
16x+5=-11 what is the solution?
Draw a model to represent 12 divided by 3
a group of girls wants to buy a soda. the soda cost $1.25. how much sodas can they buy with 20 dollars? Make a chart to show your ANSWER
The group of girls can purchase 16 sodas with $20. Because each soda costs $1.25, we find this by dividing the total amount of money ($20) by the cost of each soda ($1.25)
Explanation:The question is asking how many sodas a group of girls can buy with $20 if each soda costs $1.25. To find this out, you need to divide the total amount of money they have ($20) by the cost of each soda ($1.25). Therefore, $20 divided by $1.25 equals 16, so the girls can buy 16 sodas with $20. Here is a chart to illustrate this:
$1.25 - 1 soda$2.50 - 2 sodas$3.75 - 3 sodas...$18.75 - 15 sodas$20 - 16 sodasLearn more about Division here:https://brainly.com/question/34253396
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Ken watches a marching band he sees 2 rows of flute players six people are in a row he sees 8 trombone players how many flute players and trombone players does Ken sees
Answer:
20
Step-by-step explanation:
We have been given that Ken watches a marching band he sees 2 rows of flute players. Six people are in a row.
First of all, we will find number of flute players by multiplying 6 by 2 as:
[tex]\text{Number of flute players}=2\times 6[/tex]
[tex]\text{Number of flute players}=12[/tex]
Since Ken sees 8 trombone players, so total number of people would be 12 plus 8.
[tex]\text{Number of flute players and trombone players}=12+8[/tex]
[tex]\text{Number of flute players and trombone players}=20[/tex]
Therefore, Ken sees 20 flute players and trombone players.
I NEED HELP ill mark brainilist to best answer
amber, a very fit snail, moved 7/9 yard in an hour. she challenged the other snails to try to do better. willy moved 4/5 as gar as amber. how far did willy move
a triangle has base 7m and area 17.5 m^2 . what is the height?
On an airplane there are two seats on the left side in each row and three seats on the right side. There are 150 seats altogether.
A. How many seats are on the left side of the plane?
B. How many seats are on the right side?
Draw a model to represent the ratio 1 to 3 describe how to use the model to find an equivalent ratio
To represent the ratio 1 to 3 using a model, you can draw one square divided into three equal parts. To find an equivalent ratio, you can multiply both parts of the ratio by the same number.
Explanation:To draw a model to represent the ratio 1 to 3, you can use squares or rectangles. For example, you can draw one square and divide it into three equal parts. Then, label the first part as 1 and the other two parts as 2 and 3. This represents the ratio 1 to 3.
To find an equivalent ratio, you can multiply both parts of the ratio by the same number. For example, if you multiply both parts by 2, the new ratio would be 2 to 6, which is equivalent to the original ratio.
how do i find the unit cost of $12 for 4 yd2
To find the unit cost of $12 for 4 yd2, divide the total cost by the number of square yards, resulting in a unit cost of $3 per yd2.
Explanation:To find the unit cost of $12 for 4 yd2, you should divide the total cost by the number of units. In this case, you divide $12 by 4 yd2 to find the cost per square yard. This gives you a unit cost of $3 per yd2.
Here's the step-by-step calculation:
Write down the total cost and the total area: $12 for 4 yd2.Divide the total cost by the total area to find the unit cost: $12 ÷ 4 yd2 = $3 per yd2.This is a simple division problem that involves unit conversion and understanding fractions. When you perform the division, the units of yd2 remain, indicating the cost is per square yard.
Final answer:
To find the unit cost of $12 for 4 yd2, divide the total cost by the number of square yards, which results in $3 per square yard.
Explanation:
To find the unit cost per square yard when given a total cost for a certain number of square yards, you would divide the total cost by the number of square yards. In this case, the question is asking how to find the unit cost of $12 for 4 yd2.
Using simple division, take the total cost of $12 and divide it by the number of square yards, which is 4. This can be set up as a fraction: $12/4 yd2. When you divide 12 by 4, you get 3. Thus, the unit cost is $3 per yd2.
To understand this better, we can think of the 4 yd2 as a fraction, 4yd2/1, where we have 1 in the denominator. By dividing the total cost by the number of square yards, we are finding the price per single unit of area. Division is the mathematical operation used here, and after dividing, we find that each square yard costs $3.
what is 1/8 converted to percent
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write [tex]\frac{1}{8}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{1}{8}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{1}{8}[/tex] = [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
8n = 100
÷8 ÷8 ← divide by 8 on both sides
n = 12.5
Therefore, [tex]\frac{1}{8}[/tex] is equal to [tex]\frac{12.5}{100}[/tex] or 12.5%.
which is another way to write 12x10 exponent 3
A football team receives the ball on their own 10 yard line. They make a gain of 15 yards in the first play. What yard line is the ball on?
Final answer:
The football team starts at their own 10 yard line, and after a gain of 15 yards, the ball is on the 25 yard line.
Explanation:
The question is about calculating the new position of a football on the field after a team makes a gain. Initially, the football team starts with the ball on their own 10 yard line. After making a gain of 15 yards in the first play, we can determine the new yard line position by simply adding the gain to the starting position.
Step-by-Step Calculation:
Starting yard line: 10 yards.
Gain made: 15 yards.
Calculate the new yard line position: Starting yard line + Gain made = 10 yards + 15 yards = 25 yards.
Therefore, after the gain, the ball is on the 25-yard line.
plzs help math problem im failing shcool
A garden snail moves 1/6 foot in 1/3 hour. What is his rate in feet per minute?
Use doubles minus one to solve 8 + 7
How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions
What is 246 divided by 3
The value of 246 divided by 3 is 82 .
Given,
246/3
Here,
Divisibility rule of 3: A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
Here,
Sum of digits of number = 2+ 4 + 6 = 12
Thus 12 is divisible by 3 , so 246 will be divisible by 3.
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three divided by 42 showing long division way