Answer:
Step-by-step explanation:To find the scale factor of an original and a scale drawing, set up a ratio of the original length and the length of the drawing. Then simplify the ratio. A scale factor may be expressed by the ratio or by a positive number.A scale factor expresses the relationship between two lengths. It can be expressed as a ratio or a positive number. Let's look at some examples. If the original image is 4 inches, and the scale drawing is 8 inches, we can say that the scale factor is 4:8, but we must simplify that ratio, making it 1:2. We can also write the scale factor as a number by dividing 8 by 4 for a scale factor of 2.
That example is pretty straightforward, but let's look at something a bit more complicated. Let's say we have an original image that is 4 inches and a scale drawing that is 9.5 inches, and we want to find the scale factor. We cannot write the ratio 4:9.5, because ratios do not allow decimals or fractions. We must simplify the ratio. This involves getting rid of the decimal. To do this, we multiply 9.5 by 2 and get 19. What we do to one element of the ratio, we must do to the other, so we multiply 4 by 2 for 8. Our ratio looks like this: 8:19. Because 19 is a prime number, we cannot simplify further. This scale factor of 8:19, then, tells us that for every 8 inches in the original, the scale drawing will have 19 inches. We can also express the scale factor as 2.375 (19 divided by 8).
We'll try one more example. We have an original image that is 1.25 inches and a scale drawing that is 4 inches. Again, we cannot write a ratio with decimals, so we can't leave our scale factor as 1.25:4. We must simplify. This time, we must get rid of the decimal by multiplying each side by 4, so we have 5:16. We cannot simplify this ratio any further, but we can express it by the number 3.2 (16 divided by 5).
What is 0.3x-2 equal
Answer:
i think -0.6
Step-by-step explanation:
Answer:-0.6
Step-by-step explanation:
The length of a rectangle is ten units more than twice the width. The perimeter of the rectangle is 68 inches. What is the length?
Answer:
26
Step-by-sep explanation:
9 dollars for 3 cans of tuna *
Answer:
3 dollars for each can of tuna
Step-by-step explanation:
9-3=6
6-3=3
3-3=0
There are 150 adults and 245 children at a zoo. The zoo makes a total of $4,780 from the entrance fees,
and the cost of an adult and a child to attend is $23, how much does it cost each for a parent and a child?
Let a represent an adult.
Let c represent a child.
Enter a system of equations to represent the situation, then solve the system.
The
system of equations is
and
The adult tickets cost $
and the child tickets cost $
Answer:
the entrance fee per parent is $25, while the cost per child is $6.
help asap PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Step-by-step explanation:
a) Polly's age = x+4 years
b) Anders and Polly's age = x+(x+4) years
c) When x=11 , put in equation 11+(11+4)=11+15=26---> T
d) T=40 x+(x+4)=40
=> 2x+4 = 40
=> 2x. = 36
=> x. = 36/2
=> x. = 18.
Hope it helps you.
What happens to the mean of the data set {2, 4, 5, 6, 8, 2, 5, 6} if the number 7 is added to the data set?
Answer:
It increases
Step-by-step explanation:
The mean of the given data set of 8 values is 4.75 ([tex]\frac{2+4+5+6+8+2+5+6}{8}[/tex])
Adding 7 into the data set also increase the number of data points to 9, so the mean becomes:[tex]\frac{2+4+5+6+8+2+5+6+7}{9}[/tex], which is equal to 5
Hope this helps
Solve for y :3x-3y=12
Answer:x=4+y
Step-by-step explanation:
Answer:
y = -4 + x
Step-by-step explanation:
3x - 3y = 12
-3x -3x
-3y = 12 - 3x
___________
-3
y = -4 + x
Hope this helps!
WHAT IS THE ANSWER!!
someone please help
Answer:
its number 2 now mark me Brainliest Pls
Step-by-step explanation:
Answer:
ummm..i should say it's 2
For every one litre of water used to make medicine, 150 ml of sucrose and 600 ml of saline solution is used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form
Answer: 20 : 3 : 12
Step-by-step explanation:
For every 1 litre, 150 ml of sucrose and 600ml of saline solution is needed.
1litre = 1,000 ml
Water = 1,000 ml
Ratio:
1,000 : 150 : 600
Divide by 50 to get simplest form:
20 : 3 : 12
John takes out a loan for $ 12 , 000 at a simple interest rate of 4.5 % to be paid back in 36 monthly installments. What is the amount of the monthly payments?
Answer: $378.33
Step-by-step explanation:
First we calculate the Simple interest which will be:
= 12000 × 4.5% × 3
= $1620
Total amount to be paid = $12000 + $1620 = $13620
Since there are 36 monthly installments, the amount of the monthly payments would be:
= $13620 / 36
= $378.33
Zoey knit a total of 24 centimeters of a scarf over 3 nights. How many nights will Zoey have to spend knitting in order to knit a total of 40 centimeters of the scarf?
Options:
5
6
7
4
Thank you! You guys really help!
Answer:
5 nights
Step-by-step explanation:
24 / 3 = 8 centimeters for 1 night
40 / 8 = 5 nights
8 x 5 = 40 centimeters
Jordyn saved $75 in two months. If Jordyn continues saving at this rate, how much will she have saved in 12 months?$_________ *
Answer:
1,875
Step-by-step explanation:
75x25=1,875
What is the slope of a line perpendicular to the line whose equation is 2x+12y=-1922x+12y=−192. Fully reduce your answer.
Answer:
The slope of the perpendicular line m =6
Step-by-step explanation:
Step(i):-
Given that the equation of the straight line
2x + 12y =-192
⇒ 12 y = -192 -2x
[tex]y = \frac{-2x}{12}- \frac{192}{12}[/tex]
[tex]y = \frac{-x}{6} - 16[/tex]
y = m x +C
The slope of the given line[tex]m = \frac{-1}{6}[/tex]
Step(ii):-
The slope of the perpendicular line
[tex]\frac{-1}{m}[/tex]
= [tex]\frac{-1}{\frac{-1}{6} }[/tex]
The slope of the perpendicular line m =6
What is the slope of the line that contains the points (4, 3) and (13, 6)
m=3
m=1/3
m=3/5
m=-3/5
How much would $125 invested at 8% interest compounded continuously be worth after 16 years
Answer:
Step-by-step explanation:
Answer:
$449.58
Hope this helps!!
Linda is training for a half marathon. She ran 512 miles Monday, 4 miles Tuesday, and 134 miles Wednesday. How many miles did she run in those three days?
Answer:650 miles hope this helps :)
Step-by-step explanation:
512+4+134=650 miles
In most cells there is a narrow window of time during-which DNA is synthesized.
Which of the following words, if it replaced the word “synthesized” in the sentence above, would CHANGE the meaning of the sentence¿
I dont know sorry but i bet someone else knows
How can the commutative property be useful when simplifying the expression below?
14+x+4−9−2y−4
Answer:
x−2y+5
Step-by-step explanation:
Combine Like Terms:
=14+x+4+−9+−2y+−4
=(x)+(−2y)+(14+4+−9+−4)
=x+−2y+5
find the slope from the table
Answer:
27/-13.5
Step-by-step explanation:
do y2-y1/x2-x1
what is the lcm of 8 and 41 please help meeeee
Answer:
328
Step-by-step explanation:
Since 41 is a prime number, you would have to multiply 8 by 41 and get 328.
Answer:The LCM is 328
Step-by-step explanation:Find the multiples of 8 and 41.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56,64,72,80,88,96,102,110,118, etc
(For this keep adding 8 into you find a same number which is 328)
Multiples of 41: 41, 82, 123, 164, 205, 246, 287,328
They both have the number 328.
Hope it helps.
Help
Please due now
Answer:
43
Step-by-step explanation:
2y+3(x-y) + x^2 =
10+3( 3-5) +3^2
Rob's family ate 3 5/8 pizzas at a local restaurant. Each pizza weighs 1 1/4 kg. Which expression can be used to determine how many kilograms of pizza did Rob's family eat?
Answer:
b
Step-by-step explanation:
g
Marcus and Lara each have the same number of songs on their ipods. Marcus has 10x + 8 songs and Lara has
15x - 92 songs. What is x?
Answer:
The value of x is 20.
Step-by-step explanation:
Given that
Number of songs Marcus has = 10x+8
Number of songs Lara has = 15x-92
It is also given that they have the same number of songs that means both the expressions should be equal.
Putting both equal
[tex]10x+8 = 15x-92[/tex]
This is a linear equation in one variable which can be solved using properties of equality
Subtracting 10 from both sides
[tex]10x+8-10x = 15x-92-10x\\8 = 5x-92[/tex]
Adding 92 on both sides
[tex]8+92 = 5x-92+92\\100 = 5x[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5} = \frac{100}{5}\\x = 20[/tex]
Hence,
The value of x is 20.
help pls
for brainlist
Answer:
7/20
Step-by-step explanation:
12/20+ -5/20
Bryan spent 14 minutes on the phone while routing 7 phone calls. How many phone cells does Bryan have to route to spend a total of 16 minutes on the phone? Solve using unit rates.
Answer:
8 phone cells
Step-by-step explanation:
We are told that he spent 14 minutes on the phone while routing 7 phone calls.
Now, we want to find the number of phone cells he will route for a total of 16 minutes.
Thus, by proportion using unit rates;. Number of minutes spent pet phone cell = 14 minutes ÷ 7 phone calls = 2 minutes per phone cell
Therefore, for 16 minutes, number of phone cells will be;
16 minutes ÷ 2 minutes per phone cell = 8 phone cells
Good morning fellow brainly users have some points and just so this doesnt get deleted what if 4+5x= if x=9?
Answer:
thanks for the points.
Step-by-step explanation:
4+5x=49 if x=9.
have a great day :)
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,7) and (4,3)
what fraction is equivalent to 4 12?
Answer:
1/3
Step-by-step explanation:
1/3, 2/6, 3/9, 4/12.
are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.
The given fraction 4/12 is equivalent to 1/3 which means that both fractions represent the same value.
To find a fraction equivalent to 4/12, we need to simplify it by reducing the numerator and denominator to their lowest terms.
In this case, the GCD of 4 and 12 is 4. When we divide both the numerator and denominator by 4, we get:
4/12 = (4 ÷ 4) / (12 ÷ 4)
= 1/3
Therefore, 4/12 is equivalent to 1/3.
This means that both fractions represent the same value, but the fraction 1/3 is in its simplest form, where the numerator and denominator have no common factors other than 1.
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ6
The correct question is as follows:
What fraction is equivalent to 4/12?
Which expression is equivalent to the given expression?
(-6ab)2
Answer:
B. 36a^2b^2
Step-by-step explanation:
1. Apply exponent rule: (-a)^n = a^n, if n is even
(-6ab)^2 = (6ab)^2
(6ab)^2
2. Apply exponent rule: (a × b)^n = a^nb^n
(6ab)^2 = 6^2a^2b^2
6^2a^2b^2
3. 6^2 = 36
36a^2b^2
In other words, your answer is B.
The answer is Option B)
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here: (-6ab)²=36a²b²
Hence, The answer is Option B)
Learn more about like and unlike terms here:
https://brainly.com/question/29078851
#SPJ2
Solve the system by substitution.
y=6x
y=3x+21
( , )
Answer:
(7,42)
Step-by-step explanation:
Imput the 6x for the Y:
6x=3x+21
move the variable to the left
6x-3x=21
collect like terms:
3x=21
divide both sides by 3x and youll get this for X
x=7
Imput x=7 into the equation
Y=6x7
solve:
y=42