Step-by-step explanation:
Given parameters:
Scale drawing of the car = 3 inches
Real car = 15feet
Unknown:
Scale = ?
Scale factor = ?
Solution:
The scale is the ratio of the model dimension to the real-life representation.
In this problem, express both quantities in the same unit;
1 foot = 12 inches
15 feet = 15 x 12 = 180inches
Scale;
drawing of the car : Real car
3 inches : 180 inches
Scale 1 inches on drawing is 60inches in real life
Scale factor;
[tex]\frac{real life dimension}{drawing dimension}[/tex] = [tex]\frac{60 inches }{1inches }[/tex] = 60
The scale factor = 60
Sarah, Dan & Gavyn share some
money in the ratio 5:1:4
In total, Sarah and Gavyn receive
£45.
How much does Dan get
Answer:
$11.25
Step-by-step explanation:
45/4=11.25
vicent is making a number sentence using 1,3 and 5. what is the missing digit? show your work out.
Solve & Share
Renee needs 32 strands of twine for an
art project. Each strand must be 1.25 centimeters long.
About how many centimeters of twine does she need?
Solve this problem any way you choose!
he need 26 centimeters
Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).
Answer:120/2.5%
Step-by-step explanation:
Twelve people together can clear a field in eighteen hours. In how many hours could
nine people have cleared the same field? (Assume that all people clear a field at the
same rate.)
f(x) = x2-3x2
g(x) = 4x + 5
Find ( f - 2g)(7)
A) -14 B) -26
C) 130
D) -10
Bicycle club went on a six hour ride the graph below shows the relationship between the number of hours spent on the trails and the number of miles traveled which statement interprets information provided by the graph
Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?
Answer:
1 gallon of gas= 38 miles
Step-by-step explanation:
152÷4= 38.
Terdapat tiga bikar iaitu A, B dan C. Isipadu air didalam bikar C adalah dua
kali ganda isipadu air dalam bikar B. Selepas itu,
[tex] \frac{1}{4} [/tex]
daripada isipadu di dalam
bikar A dituang kedalam bikar B dan baki dituang kedalam bikar C. Isipadu
didalam bikar B dan C seterusnya masing-masing menjadi 400ml dan
1000ml. Apakah isipadu bikar A, B dan C sebelum air di dalam bikar A
dituang ke dalam bikar B dan C.
It is 30 points and will give brainliest
Use Pascal's Triangle to solve this equation. SHOW WORK:
(2a - b)²
Answer:
4a2−4ab+b2
Step-by-step explanation:
(2a−b)2 =(2a+−b)(2a+−b)
=(2a)(2a)+(2a)(−b)+(−b)(2a)+(−b)(−b)
Sooo our equation =4a2−2ab−2ab+b2
Hoped I helped -
Sleepy~
What is the slope of the line that passes through the two given points? (13, -2) and (3, -2)
Answer:
[tex]the \: slope \: is \: \boxed{0}[/tex]
Step-by-step explanation:
[tex]the \: slope \: : m = \frac{ - 2 - ( - 2)}{3 - 13} = - \frac{0}{10} [/tex]
Is line l parallel to line m? Explain.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.
Answer:
yes, corresponding angles are congruent
Step-by-step explanation:
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
What can be used as a factor to rewrite 16f^2-25g^2?
Answer:
B = 5g
16f2 - 25g2
Step-by-step explanation:
By selling a book for Rs.400 a student got two successive profits of 12% and 40% respectively. Then his total profit is
a.62%
b.50%
c.55%
d.56.8%
The total profit made by the student is 56.8%
The correct answer is D
Given parameters:
final price in which he book was sold = Rs.400
the first profit made by the student = 12% = 0.12
the final profit made by the student = 40% = 0.4
To find:
the total profit of the studentTo find the total profit made by the student, we have to find the initial cost price of the book.
The cost price of the book before the student made the profit of 40%.
Let this cost price = y
100%y + 40%y = 400
140%y = 400
1.4y = 400
[tex]y = \frac{400}{1.4} \\\\y = 285.71[/tex]
This cost price become the new selling price before the student made the profit of 12%.
The cost price of the book before the student made the profit of 12%.
Let this cost price = x
100%x + 12%x = 285.71
112%x = 285.71
1.12x = 285.71
[tex]x = \frac{285.71}{1.12} \\\\x = 255.1[/tex]
This is the initial cost price of the book
The total profit made by the student is calculated as;
[tex]Profit \ \%= \frac{selling \ price - cost \ price }{cost \ price} \times 100\%\\\\Profit \ \%=(\frac{400 - 255.1}{255.1} )\times 100\%\\\\Profit \ \%= 56.8\%[/tex]
Thus, the total profit made by the student is 56.8%
Learn more here: https://brainly.com/question/22817183
Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee to complete the same job. How long will it take the trainee to finish the same job?
Answer:
4 hours
Step-by-step explanation:
Ratio of working together
Job : number of hours
1 : 3 = 1/3
Trainer
Job : number of hours
1 : x = 1/x
Trainee
Job : number of hours
1 : 3x = 1/3x
1/x + 1/3x = 1/3
Multiply through by 3x
3x(1/x) + 3x(1/3x) = 3x(1/3)
3 + 1 = x
4 = x
x = 4 hours
It takes the trainee 4 hours to finish the job
A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Read more about difference of two squares at:
https://brainly.com/question/23651973
for the third week of June, Kevin Walker worked 42.75 hours. Kevin earns $12.60 an hour. his employer pays overtime for all hours
The probability of concluding that assignable variation exists when only random variation is present is:_____
I. the probability of a type I error.
II. known as the alpha risk
III. highly unlikely.
IV. the sum of probabilities in the two tails of the normal distribution
a. I and II
b. I and IV
c. II and III
d. I, II, and IV
e. I, III, and IV
Answer:
d. I, II, and IV
Step-by-step explanation:
The probability of a type I error: A type I error comes to play when one turns down the null hypothesis when it is true.
known as the alpha risk: this is also referred to as type I error, it is the risk in a statistical test which shows that a null hypothesis will be rejected even though it is actually true.
The sum of probabilities in the two tails of the normal distribution.
Hence, I, II, and IV are the options
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line relating parking costs to time (in hours).
Answer:
y=2x+5
Step-by-step explanation:
Answer:
you might not need the answer now, but for anyone else its a and part a is y=2x+5
Step-by-step explanation:
Let f(t)=6−2t2. Evaluate f(t+1).
Answer:
f(t+1)= -4t+2
Step-by-step explanation:
Subsitute the given vaule into the function and evaluate.
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14. What is the value of the second expression when x = 5, and are the two expressions equivalent? The value of the second expression is 8, so the expressions are not equivalent. The value of the second expression is 14, so the expressions are equivalent. The value of the second expression is 16, so the expressions are equivalent. The value of the second expression is 18, so the expressions are not equivalent.
Answer:
The value of the 2nd expression is 14, so the expressions are equivalent.
Step-by-step explanation:
6 + 2x - 2
6 + 2(5) - 2
6 + (10) - 2
16 - 2
14
Answer:
I believe is The value of the second expression is 14, so the expressions are equivalent.
Step-by-step explanation:
I took the test and got it right.
If Isometry preserves distance and angle measurement ,which of the following are examples of Isometry?
A)Reflection
B)Translation
C)Both reflection and translation
D)None of the above
Answer:
C) Both reflection and translation
Step-by-step explanation:
An isometry of the plane is a linear transformation which preserves length. Isometrics includes rotation, translation , reflection ,glides and the identity map.
A geometry transformation is either rigid or non-rigid
The another name for a rigid transformation is 'isometry'.
The dilation is not isometry
What is the length of the bedroom.
Answer:
[tex]10\sqrt{3}[/tex]
Step-by-step explanation:
The length of the bedroom would be [tex]4\sqrt{3}+ 6\sqrt{3}[/tex] which would equal [tex]10\sqrt{3}[/tex] because when 2 numbers have the same radical, you just add the number in front.
Answer:
14.69ft by 17.31 ft
Step-by-step explanation:
If you do 6 to the square root of 6 then you get 14.69 then you do the same for the other two and get 10.39 and 6.92 then you add those two new numbers up and get 17.31
Which of the following equations has no solutions?
A.7x - 3x - 4 - 4
B.7x - 3x + 4 = 4
C.3(2x - 4) - 6(x - 2)
D.3(2x - 4) = 61X + 2)
Find the missing angle measure. 50, x, and 100
Answer:
All angles in a triangle add up to 360
360-100-50 = 210
x = 210
Step-by-step explanation:
what is 41.0 cm ............m , 1.19 m .................cm
Answer:
41.0cm = 0.41m
1.19m = 119cm
Step-by-step explanation:
Consider the system of equations below. What could be the first step in solving by elimination?
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
Answer:
Subtracting the 2 equations
Step-by-step explanation:
3x + 5y = 16
3x + 2y = 10
Subtract it;
3y = 6
Divide both sides b 3;
y = 2
Substitute y;
3x + 5y = 16
3x + 5(2) = 16
3x + 10 = 16
Subtract 10 from both sides;
3x = 6
Divide both sides by 3;
x = 2
(x, y) = (2, 2)
enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
