Answers
------------------------------------
------------------------------------
Explanation:
First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches
So, 6 ft = 72 inches
The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio
1/30 = x/72
where x is the height of the toy soldier in inches
Cross multiply and solve for x
1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4
So the toy should be 2.4 inches tall.
Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.
Related Questions
A 6-pack carton of sport drink bottles at the local grocery store is labeled as 13.48 oz. What is the weight of the carton rounded to the nearest tenth of an ounce?
A. 13.0 oz.
B. 13.2 oz.
C. 13.5 oz.
D. 14.0 oz.
Answers
How many 6-ounce cups can be filled from 4 gallons of juice? Hint 1 gallon = 128 ounces
Answers
128/6= 21.33 cups
4x21.33= 85 cups
85 cups can be filled from 4 gallons of juice
Is this a lCM or GCF
Answers
Answer:
This is greatest common factor.
Step-by-step explanation:
It said,”What is the greatest number of baskets?
How long will it take you to bike 225 miles at a speed of 15 miles per hour?
Answers
The time taken by the bile to cover 225 miles will be 15 hours.
What is velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Given that bike covers a distance of 225 miles with a speed of 15 miles per hour.
The time will be calculated as below:-
Velocity = Distance / Time
15 = 225 / Time
Time = 225 / 15
Time = 15 hours
Therefore, the time taken by the bile to cover 225 miles will be 15 hours.
To know more about Velocity follow
https://brainly.com/question/25749514
#SPJ2
Keith uses 18 cherries and 3 peaches to make a pie filling. Lena uses an equivalent ratio of cherries to peaches when she makes pie filling. Can Lena use a ratio of 21 cherries to 6 peaches?
Answers
Answer:
No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.
Step-by-step explanation:
We are given the following in the question:
Keith uses 18 cherries and 3 peaches to make a pie filling
We find the ratio of number of cherries to number of peaches in the pie.
Equivalent Ratio =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]
This ration can be interpreted as:
There are 6 cherries in the pie for every 1 peach in the pie.
We have to check whether Lena can use a ratio of 21 cherries to 6 peaches.
Lena's ratio of number of cherries to number of peaches in the pie =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]
No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.
What is the equation of this graphed line?
Answers
y= 6x+7
I think this is it.
y = mx + b
...where b represents the y-intercept and m represents the slope
In this problem, the y-intercept is 7 because you can see that the line intersects the y-axis at the coordinate (0, 7).
The slope is negative because the line is going down when being read from left to right. Two ways you can find the slope of the line is by calculating the rise/run of the line (how many units the line goes up/down by how many units the line goes to the right).
You can also find the slope using the equation :
m = y2 - y1 / x2 - x1
Substitute the coordinates (the order doesn't matter as long as the coordinates correspond).
m = -2 - 7 / 8 - 0
m = -9 / 8
The slope is -9/8.
Combine the information you now know into the line's equation.
Solution: y = - 9/8x + 7
How do the values of the digit 2 in the number 222.222 change for each place value
Answers
math question down below
Answers
multiply what you get ($18.75) by 7 (week) and get $131.25 or 0.05
Sara watched the pump at the gas station dispense gas at a rate of ½ gallon every 3 ¼ seconds. How long will it take, in seconds, to put 50 gallons of gas in the RV? Justify your reasoning by using the UNIT RATE
Answers
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent?
Select all that apply.
18 × 104
-0.00018
0.00018
1800
1.8 × 10-4
WILL MARK BEST ANSWER!
Answers
Answer:
0.00018 and 1.8 × 10-4
Step-by-step explanation:
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.
1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.
So, the correct answers are :
0.00018 and 1.8 × 10-4
1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]
What number is shown on the graph ?
Answers
Answer:
B
Step-by-step explanation:
[tex]\sqrt{20}[/tex] = 4.47
4.47 + 2 = 6.47
Are θ = πn and θ= π+ πn equivalent?
Answers
One has an extra π in the equation.
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.
Answers
The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.
Explanation:This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.
Learn more about Rate of Change here:https://brainly.com/question/31226174
#SPJ12
9.086 minus 2.419 rounded to the nearest one
Answers
- 2.419=6.665
Rounded would be 7
A pair of shoes weighs 650 grams.How many decigrams does it weigh?
Answers
That means that 650 * 10= 6500
Hope this helps!
How much is 2.1x 82
Answers
172.2
I hope this answer was helpful! :)
172.2 is your answer
hope this helps
josie has $47 left on her checking account.If she writes a check for $55 ,what will josies balance be?
Answers
She then writes a check for $55 and give it away.
47-55=-8.
Her balance will be $-8
I need help on this problem
Answers
3x°+46°+(2x-1°)=180°(angle sum of △)
5x+45=180°
5x=180°-45
x=135÷5
x=27
x is 27
put x into angle B,we have
2(27)-1
=53
thus angleB is 53°
hope it helps c:
With that knowledge, we can set up an equation that lets us solve for x based on our given angles by setting their sum equal to 180.
[tex]3x+(2x-1)+46=180\\5x+45=180\\5x=135\\x=27[/tex]
To find ∠B, we simply substitute the x for 27:
[tex]2x-1=2(27)-1=54-1=53[/tex]
So, m∠B = 53°.
A computer programmer charges $45 an hour for coding projects plus a start up fee of $150.
Write an equation in standard form to represent the total cost t of a project that takes h hours.
Answers
Sine 150 is a one-time fee and the 45, you are paying for each hour.
An equation in standard form is C(t) = 150 + 45t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. Let t be the time in hours then we can construct an equation as C(t) = 150 + 45t
Hence, An equation in standard form representing the information is C(t) = 150 + 45t
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ3
1.1 1 1/10 and 1.101 least to greatest
Answers
Hope this helps.
compare 249 and 271. write the greater number in word form
Answers
Answer:
two hundred seventy-one
Step-by-step explanation:
Given: Two numbers 249 and 271.
To find: Word form of the greater number.
Solution:
We have two numbers 249 and 271.
To find the greater number, we need to compare the two numbers.
To compare the two numbers first of all we will compare the hundreds digit.
The hundreds digit of both the numbers is same that is 2.
Now, we will compare the tens digit of the two numbers.
The tens digit of the number 249 is 4 and the tens digit of the number 271 is 7.
As 7 is greater than 4.
271 is greater than 249.
Now, the word form of 271 is two hundred seventy-one.
7/9 has how many 1/3's in it? How do you solve this ? Thanks
Answers
To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.
Explanation:To solve this problem, we need to divide 7/9 by 1/3.
Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.
We can also simplify this fraction to the lowest terms, which is 7/3.
Subtract using the number line.
−113−16
−1 5/6
−1 1/2
−1 1/6
1 1/2
Answers
The value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
Given,
-1 1/3 - 1/6
We need to find the value.
What is a fraction?A fraction contains two parts:
Numerator and denominator.
Fraction = Numerator / Denominator
How do subtract fractions?Example:
2/3 - 2/4
We will find the LCM of 3 and 4.
= (2x4 - 2x3) / 12
= (8 - 6) / 12
= 2 / 12
= 1/6
How to convert a fraction into a mixed fraction?Example:
b/a
a x m + n = b
= [tex]m\frac{n}{a}[/tex]
Find -1 1/3 - 1/6
We can write -1 1/3 as:
= - 4/3
Now,
-4/3 - 1/6
=( -4x2 - 1) / 6
= (-8 - 1 ) / 6
= -9 / 6
= -3x3 / 3x2
= -3/2
Converting into a mixed fraction.
= -1 [tex]\frac{1}{2}[/tex]
Thus the value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
Learn more about how to solve fractions with whole numbers here.
https://brainly.com/question/24759777
#SPJ2
Which is the most accurate way to estimate 25% of 69?
Answers
I need to know what the term 8 means or represents in this expression
Answers
3x+8
Step 1: Subtract 8 from both sides.
3x+8−8=0−8
3x=−8
Step 2: Divide both sides by 3.
3x3=−83
x=−83
Answer:
x=−83
jim is at his house, and his car has 25 miles until it runs out of gas. would jim be able to make it from his house to the grocery store and back without stopping for gas? explain.
Answers
Answer:
No
Step-by-step explanation:
It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
a² + b² = c²
5² + 12² =
√169
c = 13
13 + 13 = 26 , He will not make it to to and back.
(I have this question as well so I already have the coordinate plane)
Jim would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that jim is at his house, and his car has 25 miles until it runs out of gas.
We need to check whether jim be able to make it from his house to the grocery store and back without stopping for gas.
This we can find by using Pythagoras theorem.
a² + b² = c²
5² + 12² =√169
c = 13
13 + 13 = 26 ,
Hence, It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ5
30. The perimeter of a rectangle is 292 feet. The length of the rectangle is 4 feet less than 5 times the width. What is the length and width of the rectangle? a. length = 121, width = 25b. length = 114.3, width = 23.7 c. length = 25, width = 121d. length = 121.7, width = 24.3
Answers
P = 292
L = 5W - 4
292 = 2(5W - 4 + W)
292 = 2(6W - 4)
292 = 12W - 8
292 + 8 = 12W
300 = 12W
300/12 = W
25 = W <=== width is 25 ft
L = 5W - 4
L = 5(25) - 4
L = 125 - 4
L = 121 <=== length is 121 ft
Eduardo counted 10 seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and hearing thunder, about how far away was the lightning
Answers
Eduardo used the time difference between seeing lightning and hearing thunder to determine the distance of the lightning. Given that sound travels a mile every five seconds, the second lightning was 0.8 miles away, based on a time difference of 4 seconds.
Explanation:Eduardo is using a method to measure the distance of lightning by noting the time difference between the visible flash of light and the audible sound of thunder. The speed of light is much faster than the speed of sound, which is why we see lightning before we hear thunder. This method works because it is known that sound travels approximately one mile every five seconds.
So, in Eduardo's first observation, he counted 10 seconds between seeing the lightning and hearing thunder. Given that sound travels a mile every five seconds, the lightning was 10 seconds/5 = 2 miles away.
In the second observation, he counted four seconds between the flash and the thunder. Using the same calculation, this means the lightning was 4 seconds/5 = .8 miles away. This is in agreement with the given information.
Learn more about Distance of Lightning here:https://brainly.com/question/33929404
#SPJ2
which of the following cannot be classified as a substance a. table salt b. air c. nitrogen d. gold
Answers
Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.
Explanation:The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:
Table salt (sodium chloride) is a compound, thus it is a substance.Nitrogen is an element, making it a substance as well.Gold is also an element, so it is a substance.Air, however, is a mixture of many gases, primarily nitrogen, oxygen, and other trace gases, and therefore cannot be considered a substance since its composition can vary.Based on these classifications, air is the one that cannot be classified as a substance.
Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.
An equation is
It will take _ hours to reach −1°F.
Answers
To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.
Explanation:To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.
The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.
To solve the equation, we can first subtract 35 from both sides to isolate -4x. This gives us: -4x = -36.Next, we can divide both sides of the equation by -4 to solve for x. This gives us: x = -36 / -4 = 9.So, it will take 9 hours to reach -1°F starting from 1:00 p.m.
Learn more about Equation for Temperature Change here:https://brainly.com/question/34560758
#SPJ3