A similar scale model of the motorcycle shown stands 3 inches high and is 6 inches long. How high does the actual motorcycle stand?
Answers
Answer:
48 in.
Step-by-step explanation:
Scales are based on proportions. The proportion in this scenario is:
96/6 = x/3
Cross multiply. You are left with the equation:
96x3 = 6x
Simplify.
288 = 6x
288/6 = x
48 = x
Hope this helps :)
A model's scale ratio is the proportionate ratio of dimensions. The actual motorcycle stands at a height of 48 inches.
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
The length of the motorcycle is 96 inches, while the length of the scale model of the motorcycle is 6 inches. Therefore, the scale ratio can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{The actual length of the motorcycle}}{\text{The model length of the motorcycle}}\\\\Scale\ Ratio = \dfrac{96}{6} = 16[/tex]
Using the same ratio the height of the motorcycle can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{Actual height of the motorcycle}}{\text{Model height of the motorcycle}}\\\\\\16=\dfrac{\text{Actual height of the motorcycle}}{3}\\\\\\{\text{Actual height of the motorcycle}} = 16 \times 3 = 48\ inches[/tex]
Hence, the actual motorcycle stands at a height of 48 inches.
Learn more about Scale ratio:
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Related Questions
Determine the total number of roots of each polynomial function using the factored form.f (x) = (x - 6)2(x + 2)2
Answers
Answer:
4
Step-by-step explanation:
4
Answer:
Step-by-step explanation:
20] Daseu ullule experiment, what is the probability of February mo
true regarding the number of
26] Based on the experiment, if a month is selected 300 times, which state
times you would expect to select a month that starts with the letter J
A. 60 times; 15 more than theoretically expected
B. 60 times; 15 less than theoretically expected
C. 45 times; 5 more than theoretically expected
D. 45 times; 5 less than theoretically expected
Answers
Solve |4x – 3| = –1
Question 8 options:
A)
x = 4
B)
x = –4 or x = –3
C)
x = 4∕3
D)
No solutions
Answers
Answer:
D) No solutions
Step-by-step explanation:
|4x – 3| = –1
There are no solutions
Absolute value means positive ( or zero)
It cannot be negative
-3(5-x^2+2) multiply
Answers
Answer:
3 x ^2 − 21
Step-by-step explanation:
Answer:
3x²-21
Step-by-step explanation:
-3(5-x² +2)
combine like terms in the parenthesis (5 and 2=7)
-3(-x² +7)
distribute the 3 so multiply -3 and -x² and 3 and 7
-3(-x²) = 3x² because a double negative is a positive
-3(7) = -21 because a negative and positive is a negative
The interior angles of a hexagon are (2x+17)0, (3x - 25)0, (2x+49)0,
(x+40)0, (4x-17)0 and (3x - 4) 0.
i. Find the value of x.
ii. Find the smallest interior angle of the quadrilateral.
iii. Find the largest exterior angle of the quadrilateral.
iv. Find the largest exterior angle of the quadrilateral.
Answers
Answer: a) x= 68, b) 108°, c) 72°, d) 255°.
Step-by-step explanation:
Since we have given that
The interior angles of hexagon:
(2x+17), (3x - 25), (2x+49), (x+40), (4x-17) and (3x - 4).
So, it becomes :
[tex]2x+17+3x-25+2x+49+x+40+4x-17+3x-4=1080\\\\15x+60=1080\\\\15x=1080-60\\\\15x=1020\\\\x=68[/tex]
ii. Find the smallest interior angle of the quadrilateral.
[tex]x+40=68+40=108^\circ[/tex]
iii. Find the largest exterior angle of the quadrilateral.
[tex]180-108=72^\circ[/tex]
iv. Find the largest interior angle of the quadrilateral.
[tex]4x-17=4\times 68-17=255^\circ[/tex]
Hence, a) x= 68, b) 108°, c) 72°, d) 255°.
Prediction: It rains 2 out of the last 12 days in March. If this trend continues, how many rainy days would you expect in April?
Answers
Answer:
I would expect rain 5 days
Step-by-step explanation:
Please kindly see the attached files for explanation.
What is the answer to 3x - 18?
Answers
Answer:
3(x-6)
Step-by-step explanation:
i love math
Answer:
3(x-6)
Step-by-step explanation:
Rewrite 18 as 6x3
3x-3x6
Factor out x from 3
3(x-6)
For the triangle shown, describe which sides are the legs and which are the hypotenuse. Explain how you know.
Answers
Answer:
legs: a and b
hypotenuse: c
Step-by-step explanation:
The legs of a right triangle are the two sides that intersect to determine the right angle. The remaining side is called the hypotenuse.
Answer:
a and b are the legs, and c is the hypotenuse
Step-by-step explanation:
The legs of a right triangle are always the sides that form the right angle. Looking at the picture, we see that at one corner of the triangle, there's a little square. Remember that this little square always denotes an angle with degree 90, which means this is the right angle. Then, since sides a and b form this angle, we know that a and b are the legs.
Another thing to remember is that the hypotenuse of a right triangle is the side that lies opposite to the right angle. Here, you can see that side c lies opposite to the right angle, so we know it's the hypotenuse.
Hope this helps!
For the month of April which option would be better? 1. To be gifted $1,000,000 once only on April 1st. OR 2. To receive a penny on April 1st and then double that amount on April second and then each day of the month after that you receive double the amount you got the day before? For this option show how much you get each day of the month and then how much it adds up to for the whole month. a.) Would there be a way to get the total without adding each amount for the 30 days? Please describe with detail. b.) Which tools, diagrams, or methods best helped you figure this out? Be honest.c) On your first instinct, before figuring this out, which option did you expect to be the best?
Answers
Answer:
a.) April has 30 days
If you for option No.2, you would have:
[day, amount($)]
1, 0.01
2, 0.02
3, 0.04
4, 0.08
5, 0.16
6, 0.32
7, 0.64
8, 1.28
9, 2.56
10, 5.12
11, 10.24
12, 20.48
13, 40.96
14, 81.82
15. 163.48
16, 327.68
17, 655.36
18, 1310.72
19, 2621.44
20, 5242.88
21, 10,485.76
22, 20,971.52
23, 41,943.04
24, 83,886.08
25, 167,772.16
26, 335,544.32
27, 671,088.64
28, 1,342,177.28
29, 2,684,354.56
30, 5,368,709.12
Option 2 grants you more than 5 times as much as Option A and is therefore obviously better.
b.) A diagram would show first a slow rise, than a steeper and steeper rise, then would almost growvertically. exponential growth
#coronatime
The most elegant form to describe the given numbers would simply be
$=1*2^x
You start with one, eich doubles after a day (x=1). x is the number of days and how often you multiply by 2
c.) Wasn't sure without calculating, but I guessed Opt.2, because it seemed that one should be tricked into choosing Opt.1
Have a nice day
Brainliest would be appreciated
If there are questions left, feel free to ask them
Answer the picture given and form your answer it shall help me solve B. and C. ^^!!
Answers
Answer:
Step-by-step explanation:
[tex]2(m+10p)\\\\2m+20p[/tex]
The first one uses the distributive property, after which you have the second expression. She runs two miles per day (one in the morning and the other in the evening) and she does 20 push-ups per day (a set of 10 in the morning and a set of 10 in the evening). m represents miles and p represents push-ups.
[tex]2(m+10p)\\2(m)+2(10p)\\2m+20p[/tex]
Sonia asked ten friends to pick a number between one and twenty. The picks are listed below. 15, 17, 12, 19, 10 ,12, 16, 8, 13, 19 What is the mean absolute deviation of the numbers?
Answers
3.1
i had that question before
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1,017.36 square feet use 3.14 for pi
Answers
Answer:
18
Step-by-step explanation:
1,017.36 is the area of the circle and you need to find the radius
area formula : 3.14rsquared
so the formula you are going to solve for your answer is 3.14rsquared=1,017.36
divide by 3.14
rsquared = 324
un square it to get you radius which is 18
you didnt clarify whether you wanted radisu or diameter so ill give both
R: 18
D:36
Answer:
The sprinkler can spread water up to 36 feet away!
Step-by-step explanation:
First, identify the formula used to find the area of a circle:
Area = pi x r^2
We already know the area that the sprinkler makes, so just plug that in! Then, we just need to reverse engineer the formula!
1,017.36 square feet = pi x r^2
1,017.36 square feet= 3.14 x r^2
1,017.36/3.14 = r^2
324 = r^2
sqrt of 324 = 18
So, we figured out that the radius of the circle is 18 feet! Now, remember the radius is just half the amount of the diameter!
18 x 2 = 36 feet
Hope this helps! :)
Which one is right I'm giving all my pt
Answers
[tex]5^{3(x-2)} = 5^{3x - 6} = 5^{3x} 5^{-6} = 5^{-6} 5^{3x} = a 5^{3x}[/tex]
so
[tex]a = 5^{-6}[/tex]
Answer: 5⁻⁶ second choice
Drake has a beach ball with a diameter close to 12in. Find the volume of this beach ball!
Answers
Answer:
905 in^3
Step-by-step explanation:
formula is [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]
radius is 6
Write the equation of a line that is parallel to y=9 and that passes through the point (3,-8). Please help this is due soon
Answers
Answer:
Slope of the given line y=9 is zero
so the slope of the required line is also zero.
m=0
Using point- slope form
y-y1 = m (x -x1)
y + 8 = 0 ( x - 3)
y + 8 = 0
y = - 8
Please helpp!!!
Jack is a software salesman. His base salary is $1200, and he makes an
additional $50 for every copy of software he sells.
Let P represent his total pay (in dollars), and let N represent the number of
copies of software he sells.
a) Write an equation relating P to N.
b) Use the equation from part a to find his total pay if he sells 24 copies of
software.
Answers
Answer:
Step-by-step explanation:
a) Jack's additional income = N * 50 = $ 50N
P = 1200 + 50N
b) N = 24 copies
P = 1200 + 50*24
= 1200 + 1200
P = $ 2400
The current student population of the Brentwood student center is 2000 the enrollment at the center increases at a rate of 4% each year to the nearest whole number what will the student population be close to in three years
Answers
Answer:
Step-by-step explanation:
Find the 4% of the 2000.
Then, add it to the 2000.
Keep adding the 4% which is 0.8 to the new sum until you get up to the third year and there you go!
Hope this help you!
For the high school basketball game, it costs $8 for every 4 tickets.
Complete the table below showing the cost and the number of tickets.
Answers
Answer:
there is no graph
Step-by-step explanation:
$8 16 24 32 40 48 56 64 72 80
---------------------------------------------------------------------------
4 8 12 16 20 24 28 32 36 40
Final answer:
The question is about calculating the costs associated with purchasing tickets, given a known rate of $8 for every 4 tickets. Using the formula cost equals 2 times the number of tickets, one can calculate the total cost for any number of tickets, maintaining a direct proportionality.
Explanation:
Finding Costs Based on Ticket Quantities
To determine the cost for a varying number of tickets given the rate of $8 for every 4 tickets, we can set up a proportional relationship where the cost (C) is related to the number of tickets (T) by the constant of proportionality 8/4, or 2. Therefore, C = 2T, which means that the cost is simply twice the number of tickets because 8 dollars are charged for every 4 tickets.
We can fill out the table using the formula C = 2T, where C represents the total cost and T represents the number of tickets:
For 4 tickets: C = 2(4) = $8
For 8 tickets (twice the initial quantity): C = 2(8) = $16
And so on, for each additional set of 4 tickets, we add another $8 to the cost.
If we were to complete the hypothetical table, for each additional 4 tickets, we would add $8 to the total cost, maintaining this direct proportionality.
Question?
One angle of a triangle measures 116°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is
= 180.
The congruent angles each measure
Answers
Answer:
180 - 116 = 64 so the congruent angles measure 64/2 which is 32.
Step-by-step explanation:
Final answer:
To find the measure of the congruent angles in a triangle with one angle measuring 116°, you can use the fact that the sum of the interior angles of a triangle is 180 degrees. By solving the equation, you can calculate the measure of the congruent angles as 32°.
Explanation:
Question: One angle of a triangle measures 116°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles.
To find the measure of the congruent angles, we know that the sum of the angles in a triangle equals 180 degrees. Let x be the measure of each congruent angle, then the equation to solve is: 116 + x + x = 180. Simplify to find x.
Answer: By solving the equation 116 + x + x = 180, x = 32°. Therefore, each congruent angle measures 32°.
An economy package of cups has 660 green cups. If the green cups are 30% of the total package, how many cups are in the package?
A. 690
B. 198
C. 2,200
D. 1,980
Answers
PLEASE HELP I WILL MARK U AS BRAINLIEST
The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:
Step 1: 8 + 16x
Step 2: 4(4) + 4(12x)
Step 3: 4(4 + 12x)
Step 4: Dimensions of the rectangle are 4 and 4 + 12x
In which step did the student first make an error and what is the correct step?
1)
Step 3; 4 + (4 + 12x)
2)
Step 3; 4 + (4 ⋅ 12x)
3)
Step 2; 4(2) + 4(4x)
4)
Step 2; 4(2) + 4x(2)
Answers
Answer:
3
Step-by-step explanation:
If you divide 8 + 16x, you get 4(2) + 4(4x), not 4(4) + 4(12)
He subtracted instead of dividing.
4 is wrong because it says 4x(2). You are dividing by 4, not 4x
Answer:
The answer is 3
Step-by-step explanation:
Please mark me brainiest anybody and please like and rate 5 stars
Based on the information marked in the diagram, triangle FGH and triangle JKL must be congruent.
A. True
B. False
Answers
Answer: true
Step-by-step explanation: I took the test
[y = 4x] [3x - y = 1] *
Answers
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: 3(-1) - 4(-1) = 1.
We are given that y = 4x and the equation is 3x - y = 1.
We need to evaluate.
3x - y = 1
||
\/
3x - 4x = 1.
To make the equation true, x = -1.
||
\/
3(-1) - 4(-1) =
-3 minus -4 = 1.
Final answer:
Explains how to solve a system of two linear equations by substitution.
Explanation:
The provided equations are:
y = 4x
3x - y = 1
To solve the system of equations, we can substitute the value of y from the first equation into the second equation:
Substitute y = 4x into 3x - y = 13x - 4x = 1-x = 1x = -1Substitute x = -1 back into y = 4x to find yTherefore, the solution is x = -1 and y = -4.
What is the value of X I. The rhombus below?
A. 25
B. 43
C. 47
D. 21
Answers
Answer:
21
Step-by-step explanation:
Sean wrote the equation 9.25 = 5m, where m is the cost per pound of pears, to show the relationship between the total cost and the number of pears he bought at Quick Mart.
What is the unit cost per pears? Write an equation.
Does this relationship represent a proportional relationship? Use a graph to prove it. Explain how the graph proves the situation is a proportional relationship.
Answers
Answer:
see the explanation
Step-by-step explanation:
The correct question is
Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
y ----> the total cost
x ---> the number of pounds of pears
In this problem we have a proportional relationship between the variables x and y
we have
[tex]9.25=5m[/tex]
where
m is the cost per pound of pears
That means
The value of m and the value of the constant k of proportionality is the same
Find the value of m
[tex]9.25=5m\\m=\$1.85\ per\ pound[/tex]
The linear equation is equal to
[tex]y=1.85x[/tex]
Construct the table
assume different values of x and determine the value of y
[tex]For\ x=0 ----> y=1.85(0)=0[/tex]
[tex]For\ x=1 ----> y=1.85(1)=1.85[/tex]
[tex]For\ x=2 ----> y=1.85(2)=3.70[/tex]
[tex]For\ x=3 ----> y=1.85(3)=5.55[/tex]
[tex]For\ x=4 ----> y=1.85(4)=7.4[/tex]
[tex]For\ x=5 ----> y=1.85(5)=9.25[/tex]
therefore
[tex]\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}[/tex]
using a graphing tool
The grahp in the attached figure
Final answer:
The unit cost per pound of pears is $1.85, found by dividing the total cost ($9.25) by the number of pounds (5). This represents a proportional relationship, as the graph of the equation y = 5x is a straight line through the origin, showing a constant ratio of total cost to pounds of pears.
Explanation:
The question regarding the equation 9.25 = 5m asks us to find the unit cost per pound of pears and determine whether the relationship represents a proportional relationship. To find the cost per pound, we simply need to divide both sides of the equation by 5. This gives us m = 9.25 / 5, which calculates to m = $1.85. Therefore, the unit cost per pound of pears is $1.85.
To test for a proportional relationship, we can graph the equation y = 5x, where 'y' is the total cost and 'x' is the number of pounds of pears. A proportional relationship is one where the ratio of y to x is constant, and the graph is a straight line through the origin. Since our equation represents a linear relationship that passes through the origin (0,0), it confirms that this is, indeed, a proportional relationship. The graph would show a straight line with a slope of 5, indicating that for every increase of 1 pound of pears, the cost increases by $5.
Is the expression below linear or non-linear?
102x−14
Answers
Answer: linear stay safe have a good day and good luck
Step-by-step explanation:
What is the solution to the following equation?
4(3x - 6) + 15 = 27
O2
03
04
05
Answers
Answer: [tex]x=3[/tex]
Simplify both sides of the equation
[tex](4)(3x)+(4)(-6)+15=27(Distribute)\\12x+-24+15=27[/tex]
[tex](12x)+(-24+15)=27[/tex](Combine Like Terms)
[tex]12x+-9=27[/tex]
Add 9 to both sides
[tex]12x-9+9=27+9\\12x=36[/tex]
Divide both sides by 12
[tex]12x/12=36/12\\x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
Pull out like factors : 3x - 6 = 3 • (x - 2)
step 2 : (12 • (x - 2) + 15) - 27 = 0
Pull out like factors : 12x - 36 = 12 • (x - 3)
step 4 : 12 • (x - 3) = 0
Solve : x-3 = 0
x = 3
If the temperature on the ground is 70 F then
Answers
Answer: try to (x) each one by the answer to -0.0035 +70
Step-by-step explanation:
Answer:
11000: 31.5 °F15000: 17.5 °F18000: 7 °FStep-by-step explanation:
When you have repetitive calculations to do, it is often convenient to let a calculator or spreadsheet do them for you.
Basically, put the value of "a" into the formula and do the arithmetic.
Example: for 11000 ft, -0.0035·11000 +70 = -38.5 +70 = 31.5
tom and adam have a total of 240 stamps.The ratio of the number of tom's stamps to adam's is 3:7.Tom buys some stamps from Adam.The ratio of tom's stamp to adam's is now 3:5.How many stamps does tom buy from adam
Answers
Answer:
18
Step-by-step explanation:
In both cases, the number remains constant, 240 stamps.
Given that 3:7 is equal to 3/10 to 7/10
Initially, Tom had 3/10*240=72 stamps
Finally, 3:5 equal to 3/8 to 5/8
Tom has 3/8*240=90 stamps
Difference is 90-72=18 stamps
Therefore, Tom bought 18 stamps from Adam and Adam didn't replace
Given the initial and new ratios of Tom's and Adam's stamps, and the total number of stamps they have, we can setup and solve an equation which reveals that Tom bought 48 stamps from Adam.
Explanation:This math question involves the concept of ratios and some algebra. Given that Tom and Adam initially had a total of 240 stamps between them in a ratio of 3:7, we can divide 240 by the total parts of their ratio (3 + 7 = 10 parts). So, one 'part' is 240 divided by 10, which equals 24.
Therefore, Tom initially had 3 parts i.e., 3*24 = 72 stamps while Adam had 7 parts i.e., 7*24 = 168 stamps.
After Tom buys some stamps from Adam, their ratio changes to 3:5. Let's denote the number of stamps Tom bought as x. Then, Tom would have 72 + x stamps, while Adam would have 168 - x stamps.
Since their ratio is now 3:5, we can set up an equation represented by (72 + x) / (168 - x) = 3 / 5. Solving this equation gives us x = 48.
So, Tom bought 48 stamps from Adam.
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While solving an equation for x lewis is left with the equation 2=4. Explain why lewis can be certain that the equation does not have a solution
Answers
Answer: You do not have x alone on one side, therefore, you can be certain the equation has no solution!!
Step-by-step explanation: In order for the equation to have a solution it must look like this:
x= and some number
Final answer:
Lewis can be certain there is no solution to the equation because ending up with '2=4' is a contradiction, and two distinct constants cannot be equal.
Explanation:
When solving an equation, if you simplify all the expressions and end up with a statement such as 2=4, this indicates that the equation does not have a solution. This situation is also known as a contradiction because 2 and 4 are distinct constants and cannot be equal. A step-by-step approach might include starting from the original equation, performing algebraic manipulations, and then arriving at an absurd conclusion, which tells us the equation has no solution.
In contrast, when solving quadratic equations, such as x² = 4, you might get valid solutions like √4=±2, which indicate a solution set of {-2, 2}. However, if your result contradicts a fundamental truth, like the equality 2=4, it's clear that the equation has no feasible solution within the realm of real numbers.