Answers
Given:
The scale factor of the actual sports utility vehicle to the toy model is 50:1.
Actual length = 7 feet
Actual width = 5 feet
To find:
The length and width of the toy model.
Solution:
a. Let l be the length of the toy model, then
[tex]\dfrac{\text{Actual length}}{\text{Length of the toy model}}=\dfrac{50}{1}[/tex]
[tex]\dfrac{7}{l}=\dfrac{50}{1}[/tex]
[tex]7=50l[/tex]
[tex]\dfrac{7}{50}=l[/tex]
[tex]0.14=l[/tex]
Therefore, the length of the toy model is 0.14 feet.
b. Let w be the width of the toy model, then
[tex]\dfrac{\text{Actual width}}{\text{Width of the toy model}}=\dfrac{50}{1}[/tex]
[tex]\dfrac{5}{w}=\dfrac{50}{1}[/tex]
[tex]5=50w[/tex]
[tex]\dfrac{5}{50}=w[/tex]
[tex]0.10=w[/tex]
Therefore, the width of the toy model is 0.10 feet.
Related Questions
Find the product of (x-2) and (3x^2-4x-5)
Answers
Answer:
3x³ - 10x² + 3x + 10
Step-by-step explanation:
multiply 'x' by each term in the second expression:
(x-2)(3x²-4x-5) = 3x³ -4x² - 5x
now multiply '-2' by each term in the second expression:
-6x² + 8x + 10
combine 'like' terms: -4x² + (-6x²) to get -10x²
combine 'like' terms: 8x - 5x = 3x
answer: 3x³ - 10x² + 3x + 10
Pls help I’ll give u some of those brain things
Answers
Answer:
THE ANSWER IS NOT C / 3
THE ANSWER IS "A"
Step-by-step explanation:
all the "hard" work is done (the numbers)...
lets start with the "units" at the end of the problem you have to have mm/day... so just start crossing out "top to bottom" when you see the same unit on the top and bottom... if you se day in the numerator and day in the denominator cross them out...
Do that and the one that has mm on the top and day on the bottom is the answer...
Step #2 ... two of the answers have that ... so now look for "silly fractions"
something like 1 year/ 999 days... your problem does not have totally silly things like that , but the WRONG answer has 1mm/ 10 cm (or something like that ) there is 10 mm in 1 cm, you choices has that opposit in one answer.
how do i solve this using multi-step ?
Answers
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−4)=2(−2x+1)
(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)
3x+(−12)=−4x+2
3x−12=−4x+2
Step 2: Add 4x to both sides.
3x−12+4x=−4x+2+4x
7x−12=2
Step 3: Add 12 to both sides.
7x−12+12=2+12
7x=14
Step 4: Divide both sides by 7.
7x /7 =14 /7
x=2
A department store manager to estimate at a %90 confidence level the mean about by all customers at this store
Answers
Answer:
The answer is "287.19"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\alpha=1-0.90=0.10\\\\\frac{\alpha}{2}=0.05\\\\Z=1.64\\\\Marginal \ error=Z \times \frac{\sigma_x}{\sqrt{n}}\\\\n=(\frac{Z \times \sigma_x}{error})^2\\\\n=(\frac{1.64 \times 31}{3})^2\\\\n=287.1895\approx 287.19[/tex]
How many dolls can Julie and Erin make with the amount of black velvet they have? Complete the model to represent the problem.
Answers
Gianna draws a rectangle on a piece of grid paper. She wants to know the side length of each grid square. Which equation can Gianna use to find the side length, s , of one square.
Answers
Answer: the answer is 213.4
Stepby-step explanation:
First you multiply 10.8 and 19.8 then your done
Answer:
10.8 ÷ 6
1.8
Step-by-step explanation:
If = 6 units and = 8 units, what is the volume of the cylinder?
Use 3.14 for.
A. 678.24 cubic units
B. 414.48 cubic units
C. 904.32 cubic units
D. 527.52 cubic units
Answers
Answer:
C. 904.32 cubic units
Step-by-step explanation:
the volume = π×r²×h
= 3.14 × 6²×8
= 3.14×288
= 904.32
If Megan sells 22 cakes, then f(22) = 121?
Answers
I don't know what the question is but I'm pretty sure the answer is 5.5.
X = 5.5 or the price of each cake is 5.5$
Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
Mark this and return
Save and Exit
Nelit
Submit
Answers
Answer:
Option D can be your answer
The true statement about geometric figure is
One plane can be drawn so it contains all three points.
What is Plane?A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.
We have three points R, S and T.
So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.
There is a plane that contains our three points if we have three separate points in 3-space.
So, For the three points R, S, and T, the third assertion is accurate.
Learn more about Plane here:
https://brainly.com/question/1962726
#SPJ7
I need it fast plss help someone help
Answers
56 over 15
hope this help yoooooooooooooooooooo
Answer:
22/15
Step-by-step explanation:
(1/3 + 2/5) x (2 - 1/2) ÷ 3/4
=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4
=11/15 x 3/2 ÷ 3/4
=11/15 x 3/2 x 4/3
=22/15
Hope this helps! Have a nice day!
first answer gets most brainley
Answers
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
What does b stand for in this equation?
3b=12
A 1
B 2
C 3
D 4
Answers
Answer:
4
Step-by-step explanation:
3b=12
Divide each side by 3
3b/3 =12/3
b =4
Answer:
D. 4Step-by-step explanation:
Given,
3b = 12
=> b = 12 ÷ 3
=> b = 4 (Ans)
PLEASE HELP ANGLE OF TRIANGLE
Answers
Answer:
my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:
add the two known angles.
41+107 = 148
that means the exterior angle is equal to 148
x=148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,
In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.
41+107+n=180
148+n=180
n=32
So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles
180-32 = 148°
And that is you’re answer!
x y
-2 -5
-1 -2
0 1
1 4
2 7
Which equation could represent the data in the table?
y = 3x + 1
y = -3x + 1
y = -3x - 1
y = x - 3
Answers
Answer:
y+3x+1
Step-by-step explanation:
4,570= 3thousands+___hundreds+ 7 tens
Answers
Answer: 4 thousands, 5 hundreds, 7 tens
Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
Answers
Answer:
0.625 liters
Step-by-step explanation:
Given data
volume drained= 2.5Liters
Time= 4 days
Now the if 4 days leakage will produce a volume of 2.5Liters
Then 1 day will produce a volume of x liters
cross multiply
4x= 2.5
x= 2.5/4
x= 0.625 liters per day
Hence, each day will produce 0.625 liters
Peter work three more days than jill. Peter earn $20 day jill earn $40 day. But they earned the same amount of money
Answers
Answer: Wowwww that ain't good at all and sooo not fair if Peter worked three more days than Jill but still only got twenty bucks. That's pretty sad.
Step-by-step explanation:
Select the correct answer.
Simplify the expression 5^-3 x 5^-5
A 1/5^2
B -5^2
C 5^2
D 1/5
Answers
Answer:
A 1/5^2
Step-by-step explanation:
5^3 x 5^-5
We know that a^b* a^c = a^(b+c)
5^3 x 5^-5 = 5^(3-5) = 5^-2
We also know that a^-b = 1/ a^b
5^-2 = 1/5^2
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.
Answers
Answer:
The length of the third side is approximately 193.14 cm
Step-by-step explanation:
The given dimensions of the sides of triangle ΔVWX are;
X = 160 cm
V = 150 cm
The measure of the included angle, m∠W = 77°
By cosine rule, we have;
w² = v² + x² - 2·v·x·cos(W)
∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35
∴ The length of the third side, w = √37,302.35 ≈ 193.14
The length of the third side, w ≈ 193.14 cm
Which statements are true? Select all that apply.
A. The amplitude of y = 2 sin(12x) is 12.
B. The period of y = 2 sin(12x) is π.
C. The amplitude of y = 2 sin(12x) is π2.
D. The period of y = 2 sin(12x) is 4π.
E. The period of y = 2 sin(12x) is 12.
F. The amplitude of y = 2 sin(12x) is 2.
Answers
MATH HELP PLEASE ANSWER ASAP
Answers
Step-by-step explanation:
QR = 1.5
TS = 2
TP = 3.8
RS = 1.4
PQ = 2.6
Dahlia is simplifying (3 t) Superscript 4 using these steps:
(3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3 times 3 times 3 times t times t times t times t
Although Dahlia is correct so far, which step could she have used instead to simplify the expression (3 t) Superscript 4?
(3 t) Superscript 4 = 3 t Superscript 4
3 Superscript 4 Baseline t = 81 t
4 (3 t) = 12 t
3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4
Answers
Answer:
D would be the answer
Step-by-step explanation:
Took the test got it correct <33 good luck
find the sum of (2x-12) from x=7 to x=16
Answers
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
There is no solution to the following system of equations.
x < 3
y > 3
True
False
Answers
Answer:
True
Step-by-step explanation:
We are given that system of equation
x<3
y>3
We have to find that there is no solution of system of equation is true or not.
First we change inequality equation into equality equation
x=3
y=3
When x=0
0<3
It is true equation therefore, the shaded region towards the origin.
When y=0
0>3
It is false equation. Therefore, the shaded region above the origin.
From the graph
There is no solution of system of equation.
Hence, option true is correct.
What is the length of Line segment A C?
3 ft
4 ft
18 ft
12 ft
On edge unity pls help
Answers
Answer:
4
Step-by-step explanation:
because its 4
The length of Line segment AC is 12ft.
Similar trianglesThe given triangle ABC is similar to triangle BMN
The length of AM = BM = 4ft
The length AB = BM + AM = 4 ft + 4ft = 8ft
The length of Line segment AC is calculated by using similar triangle proportions as follows;
[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]
Learn more about similar triangles here: https://brainly.com/question/11899908
Solve. -3 + 9x = 24 pls help 15 pts!!! ASAP
Answers
Answer:
hope it is helpful to you
if the needle below is spun twice and the letters are recorded both times , which of the following would be the probability it would land on letters A and C (in either order)?
(1) 1/3
(2)2/3
(3)2/9
(4)5/6|
Answers
A school librarian surveyed a random sample of $50$ students to find out which library resources students value most. The table below shows the results.
Library Resources Number of Students
Books 24
Study Areas 10
Classes 6
Movies 10
Which statements are best supported by the data?
Select all that apply.
A It is expected that $15\%$ to $25\%$ of all students will value movies the most.
B It is expected that $20\%$ to $30\%$ of all students will value books the most.
C In a group of $25$ students, it is expected that around $5$ students will value study areas the most.
D In a group of $100$ students, it is expected that around $6$ students will value classes the most.
E In a group of $200$ students, it is expected that $20$ students will value study areas the most, and $20$ students will value movies the most.
Answers
Answer:
E
Step-by-step explanation:
If you break each classification of what items metter most you get the following percentahes:
Books 48%
Study Areas 5%
Classes 6%
Movies 20%
A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.
B - Data suggest a higher support for books at 48%
C - Data suggest 1 or two in a group of 25 would answer study areas
EXERCISE 22.3
1.Divide 250 in the ratio 3:2
2.Divide 144 in the ratio 1:2
3.Divide 10 kg in the ratio 2:3
4.Divide 1 hour in the ratio 5:7
5.Divide 8m in the ratio 3:13
6.Divide 45 km in the ratio 7:8.
7.Divide 4 hours in the ratio 5:3
8 .Divide 2 kg in the ratio 3:7
9 .Divide 3 litres in the ratio 7:5
10.Divide 1 cm in the ratio 2:3
11.Divide 70 in the ratio 60% to 40%
12.Divide 1 hour in the ratio 20% to 80%
13 .Express the ratio 3:17 as percentages.
14 .Express the ratio 9:31 as percentages.
Answers
2. 144/1:2 is 144/ ½ = 144 x 2/1 = 288
Kevin bought dvds of different movies he spent $5 for each movie the equation y=5 shows how much he spent for the movies
Answers
Answer:
The dependent variable is y (the amount paid)
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
Where
[tex]x \to[/tex] number of movies
[tex]y \to[/tex] amount paid
Required
The dependent variable
From the question, we have:
[tex]y = 5x[/tex]
This means that the value of y is determined by the value of x.
Take for instance:
[tex]x = 2[/tex]
The value of y will be:
[tex]y =5*2 = 10[/tex]
If x changes (say; x = 12), y will also change
[tex]y =5*12 = 60[/tex]
Hence, y is the dependent variable
