Answer:
(a) 3 inches(b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
1. Scale:
model length / real length = 1 inch / 2 feet2. Proportion:
Naming x the model length:
1 inch / 2 feet = x / 6 feetCross multiply:
1 inch × 6 feet = 2 feet × xDivide both sides by x:
x = 1 inch × 6 feet / 2 feet = 3 inch.Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
Which statement is true regarding the functions on the
graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
16) = 96
Answer:
f(3) = g(3)
Step-by-step explanation:
The graph shows f(3) = 6, and it shows g(3) = 6. Then ...
f(3) = g(3)
To determine if two functions f and g are equal at certain points, one must refer to their definitions or graphs. If f(x) and g(x) are defined as x², they are the same function as they produce identical outputs for any numerical input.
Explanation:The student's question pertains to function comparison and the evaluation of these functions at specific points. The statement "f(6) = g(3)" implies that the value of the function f when x is 6 is equal to the value of function g when x is 3.
The answer to the question will rely on the specific definitions or graphical representations of the functions f and g, provided in the original question or accompanying materials.
For the functions defined by f(x) = x² and g(s) = s², f and g are indeed the same function since they both return the square of their input, regardless of the variable used to represent that input.
Since both function names are simply placeholders for the operation being performed (squaring), f and g yield the same output for any identical numeric input.
Based on the examples in the reference information, we can see that two different functions could have the same graph if they result in the same set of points on a Cartesian plane. This would make them the same function in the context of their graphical representation.
please just answer with a picture
⚠️I wont except without work⚠️
I need work on this I'm rage confused.
thanks
Determine the number of possible settings for a row of five -on Gg switches under each condition
Answer:
jufhjgcfhjcfjgjghfj
help I need somebody not just anybody OH yeah i will give brainliest !!Find the probabilities of the events described and arrange them in order from the event with the lowest probability of occurrence to the event with the highest probability of occurrence.
the probability of picking a red marble
from a bag containing 5 green, 3 red,
and 4 blue marbles
the probability of picking a peach from
a basket of fruit containing 7 peaches
and 3 apples
the probability of picking a green token
from a box containing 10 red, 6 blue,
and 4 green tokens
the probability of picking a golf ball
from a box containing 2 tennis balls
and 13 golf balls
The arrangement with the lowest probability of occurrence to the event with the highest probability of occurrence is 0.2, 0.25, 0.7 and 0.87
What is probabiility?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = expected outcome/total outcome
The probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles is 3/12 = 0.25
The probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples is 7/10 = 0.7
The probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens is 4/20 = 0.2
The probability of picking a golf ball from a box containing 2 tennis balls
and 13 golf balls is 13/15 = 0.87
From the probabilites above, the arrangement with the lowest probability of occurrence to the event with the highest probability of occurrence is 0.2, 0.25, 0.7 and 0.87
Learn more on probability here: https://brainly.com/question/25870256
#SPJ2
3(4x-2) = -6 + 12
what is the answer to this question?
Answer:
1
Step-by-step explanation:
3(4x-2)=-6+12
12x-6=6
12x=6+6
12x=12
x=12/12
x=1
Answer:
False because -6+12= just 6 but the other expression is 10x
Step-by-step explanation:
HOPE it helps
The base of the gray permit is a square about 150 feet on each side how many square feet of ground does it cover
Answer:
22,500 square feet
Step-by-step explanation:
we know that
The area of a square is equal to
[tex]A=b^2[/tex]
where
b is the length side of the square
in this problem we have
[tex]b=150\ ft[/tex]
substitute
[tex]A=(150)^2\\A=22,500\ ft^2[/tex]
A factory made 100 jars of peanut butter. 20% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answer:
There would be 20 jars of creamy peanut butter.
Step-by-step explanation:
You have 100 jars of peanut butter divide that by 100. That would give you the amount for 1%. Multiply that by 20 for the 20% which will give you your answer of 20.
100/100=1
1*20=20
Number of creamy peanut butter jars is 20.
Final answer:
The factory made 20 jars of creamy peanut butter, which is calculated by finding 20% of the total 100 jars produced.
Explanation:
The student has asked how many jars of creamy peanut butter were made if a factory produced 100 jars and 20% of them contained creamy peanut butter. To find the answer, we simply need to calculate 20% of 100 jars.
Here is the calculation:
First, we convert the percentage to a decimal: 20% = 0.20.
Next, we multiply the total number of jars by this decimal: 100 jars × 0.20 = 20 jars.
Therefore, the factory made 20 jars of creamy peanut butter.
solve
(x + 1)(x – 5) = 0
Answer:
x = - 1, x = 5
Step-by-step explanation:
Given
(x + 1)(x - 5) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 5 = 0 ⇒ x = 5
Answer:
Step-by-step explanation:
x+1*x-5=0
Since we know the answer to the equation is 0, that means that it doesn't matter if we multiply x, add to it, or subtract from it, it will all eventually become 0.
So:
X=0
. The owner of a movie theater was counting the
money from I day's ticket sales, He knew that a total
of 150 tickets were sold. Adult tickets cost $7.50
each and children's tickets cost $4.75 each. If the
total receipts for the day were $891.25, how many of
each kind of ticket were sold? PLS HELP
Answer:
35
Step-by-step explanation:
There is 200 tickets if 18 where purchased in advanced what percentage where purchased in advanced
Answer: 9%
Step-by-step explanation:
18/200 equals .09 and when multiplied by 100 because percent is out of 100 you get 9
Solve for x. -x = -5 5/7
Answer:
40/7
Step-by-step explanation:
-5 5/7=-40/7
-x=-40/7
x=40/7
Can give more points!!!PLEASE HELP!!!!!
Answer:
A. Only Khaled
Step-by-step explanation:
The teachers equation is:
[tex]-10x-7y=5[/tex]
[tex]12x-8y=-4[/tex]
If a row operation on the teacher's equation results in any of the system of the students' equation then the two systems are equivalent and will have the same solution.
For instance:
Let's maintain the bottom equation and add both equation to replace the top equation:
[tex]-10x+12x-7y-8y=5+-4\\12x-8y=-4[/tex]
This results in Khaled's equation:
[tex]2x-15y=1\\12x-8y=-4[/tex]
On the other hand we cannot perform a row operation to obtain Miku's equation
Use the given expression to complete the statements.
5x– 8(3y + 13) – 1
In the first term, 5 is a
In the second term, (3y+ 13) is a
In the third term, -1 is a
Reset
Next
Final answer:
In the expression 5x – 8(3y + 13) – 1: 5 is the coefficient of the first term, (3y+13) is a binomial, and –1 is the constant term.
Explanation:
The expression provided is 5x– 8(3y + 13) – 1, and we need to identify the roles of specific parts of each term:
In the first term, 5 is a coefficient; it is the numerical factor that multiplies the variable x.In the second term, (3y+ 13) is a binomial being multiplied by –8, which is a negative coefficient.In the third term, –1 is a constant term because it does not contain any variables and is a fixed value.In the first term, 5 is a coefficient.
In the second term, (3y+13) is a binomial.
In the third term, -1 is a constant.
To complete the statements for the given expression 5x – 8(3y + 13) – 1, we need to identify the components of each term:
1. In the first term:
Here, 5 is a coefficient because it is the numerical factor that multiplies the variable x. Coefficients indicate the quantity by which a variable is multiplied.
2. In the second term:
In this term, (3y+13) is enclosed within parentheses, making it a binomial. A binomial is an algebraic expression consisting of two terms separated by either a plus or a minus sign.
3. In the third term:
This term is a constant because it is a fixed numerical value that does not change. Constants can exist independently and do not involve any variables.
Complete question:
Use the given expression to complete the statements.
5x– 8(3y + 13) – 1
In the first term, 5 is a ____.
In the second term, (3y+ 13) is a ___.
In the third term, -1 is a ____.
7² + 8⁵ - 8²
Simplify
Answer:
32,753
Step-by-step explanation:
If you multiply 7 x 7 you get 49
If you multiply 8 x 8 x 8 x 8 x 8 you get 32,768
If you multiply 8 x 8 you get 64
Next you add 49 and 32,768; you get 32,817
Then you subtract 32,817 - 64; you get 32,753
Hope this helped!
~Oreo!!
[tex] {7}^{2} + {8}^{5} - {8}^{2} = 49 + {8}^{5} - 64 \\ = {8}^{5} - 15 \\ = 32768 - 15 \\ = 32753[/tex]
are the following relations functions?
x y
5 -2
7 -2
9 -2
It is a function
Explanation:A function is a relation between two sets that associates to every element of a first, called set A, one and only one element of the second set, called set B. In other words, we can't have any element of the set A assigned to more than one element in the set B. Put another way, we can't have repeated elements of the first set. In this problem we have a relation given by the table:
[tex]\begin{array}{cc}x & y\\5 & -2\\7 & -2\\9 & -2\end{array}[/tex]
So the assignation is as follows:
[tex]5 \rightarrow -2 \\ \\ 7 \rightarrow -2 \\ \\ 9 \rightarrow-2[/tex]
As you can see every element of the set A (set x) is assigned to the same element in the set B (set y) but we have no repeated element in the first set, so this is a function.
Learn more:Functions: https://brainly.com/question/13691720
#LearWithBrainly
What is the solution to the equation y + 31 = 19?
Answer:
Step-by-step explanation:
y + 31 = 19....subtract 31 from both sides
y = 19 - 31
y = - 12 <===
Jon hikes 13.5 mi at a constant rate of 3 mi/h. How many hours does he hike? 4.0 h 4.5 h 10.0 h 10.5 h
Answer: 4.5
Step-by-step explanation: because, 3x4=12 then you have 1.5 left and 1.5 is half of three so you would have .5 and you then add 4+.5 to get 4.5
Answer:
the answer is 4.5 h
Step-by-step explanation:
Last week katlin drove 254 miles. This week she drove c miles. Using c,write an expression for the total number of miles she drove in two weeks
The expression for the total number of miles she drove in two weeks is 254 + c miles
Solution:
Given that,
Last week katlin drove 254 miles
This week she drove c miles
To find: Expression for the total number of miles she drove in two weeks
From given,
Last week = 254 miles
This week = c miles
Therefore,
Total miles in two weeks = last week + this week
Total miles in two weeks = 254 + c
Thus the expression for the total number of miles she drove in two weeks is 254 + c miles
Simplify the expression.
-9
+ 6
Answer:-3
Step-by-step explanation:-9+6 keep change flip
-9-(-6)= -3
Answer:
-3
Step-by-step explanation:
-9 + 6 = -3
!!! need help!! whats the answer??
Answer:
i) Therefore option A is Correct. Δ ECD [tex]\sim[/tex] Δ ACB by the SAS ( Side Angle Side) Similarity Theorem.
ii) Yes it can be proven that ED || AB after proving that Δ ECD [tex]\sim[/tex] Δ ACB
Step-by-step explanation:
i) CE = [tex]\frac{1}{2}[/tex] AC ..... given
ii) CD = [tex]\frac{1}{2}[/tex] CB .... given
iii) Therefore [tex]\frac{CE}{AC} = \frac{CD}{CB} = \frac{1}{2}[/tex]
iv) Angle ACB or ∠C is common to Δ ACB and Δ CED.
v) Therefore from the above 4 equations we can say that by
SAS theorem the two triangles are similar , that is , Δ ECD [tex]\sim[/tex] Δ ACB .
Therefore option A is Correct.
vi) Yes it can be proven that ED || AB after proving that Δ ECD [tex]\sim[/tex] Δ ACB.
Since Δ ECD [tex]\sim[/tex] Δ ACB , therefore ∠CED = ∠CAB and ∠CDE = ∠CBA.
Therefore we can say that ED is parallel to AB or that ED || AB.
The transformer (grey box) on this power line is how far above the ground?
Round to the nearest tenth.
The transformer is 27.5 ft above the ground.
Solution:
The given image is like a triangle.
Angle 'L' represents the triangle is right triangle.
Use Pythagoras theorem to find the answer.
Base of the triangle = 12 ft
Hypotenuse of the triangle = 30 ft
Height of the triangle = x
Using Pythagoras theorem,
[tex]\text{Base} $^{2}+$ Height $^{2}=$ Hypotenuse $^{2}$[/tex]
[tex]12^2+x^2=30^2[/tex]
[tex]144+x^2=900[/tex]
Subtract 144 on both sides of the equation.
[tex]x^2=900-144[/tex]
[tex]x^2=756[/tex]
Taking square root on both sides.
[tex]x=27.5[/tex]
Hence the transformer is 27.5 ft above the ground.
A photo of a beetle in a science book is increased to 734% as large as the actual size. If the beetle is 15 millimeters, what is the size of the beetle in the photo?
Answer:
110.1
Step-by-step explanation:
So, we just need to figure out 734% of 15.
734% can be written as 734/100.
734*15=11010.
11010/100 = 110.1
In the photo, the beetle is 110.1 millimeters
1. A supermarket display consists of boxes of soda. The bottom row has 38 boxes. Each row has four fewer boxes than the row below it. The display has eight rows.
a) Write and use the function to determine how many boxes are in the top row. Show your work.
b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work.
Answer:
10 boxes in the top row.
192 boxes in entire display.
Step-by-step explanation:
Let n be the number of rows.
Given:
Total number of rows = 8
Boxes in bottom row = 38
And each row has four fewer boxes than the row below it.
Solution:
Part A:
We know that the bottom row has 38 boxes and each row has four fewer boxes than the row below it.
Using below function for determining the number of boxes in each rows.
[tex]f(n)=38-(8-n)4[/tex]
Where:
n = Number of row.
We need to find the boxes in the first row.
So, substitute n = 1 in above function.
[tex]f(1)=38-(8-1)4[/tex]
[tex]f(1)=38-7\times 4[/tex]
[tex]f(1)=38-28[/tex]
[tex]f(1)=10[/tex]
Therefore, 10 boxes in the top row.
Part B:
Total boxes in the entire display.
Using formula as given below to determine the sum of the boxes in entire display.
[tex]S_{n} = \frac{n}{2}(f(1)+f(n))[/tex]
Substitute n = 8, f(1) = 10 and f(8) = 38 in the above equation.
[tex]S_{8} = \frac{8}{2}(10+38)[/tex]
[tex]S_{8} = 4(48)[/tex]
[tex]S_{8} = 4\times 48[/tex]
[tex]S_{8} = 192\ boxes[/tex]
Therefore, 192 boxes in the entire display.
A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm. How many cubic cm of popcorn can the cup hold? Use 3.14 as an approximation for pi, and give numerical answer
Answer:
The cup can hold 235.5 cubic cm of popcorn.
Step-by-step explanation:
Given:
A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm.
Use 3.14 as an approximation for pi.
Now, to find cubic cm of popcorn the cup can hold.
Radius ( r ) = 5 cm.
Height ( h ) = 9 cm.
π = 3.14 ( as per question ).
So, to get the cubic cm of popcorn the cup can hold we put formula of volume:
[tex]Volume = \pi r^2\frac{h}{3}[/tex]
[tex]Volume=3.14\times 5^2\times \frac{9}{3}[/tex]
[tex]Volume=3.14\times 25\times 3[/tex]
[tex]Volume=235.5\ cubic\ cm.[/tex]
Therefore, the cup can hold 235.5 cubic cm of popcorn.
Parallelogram RECT is a rectangle. If EC = x + y , RT = 2x - y, RE = 2x + y, and TC = 3x - 3 , what are the values of the variable
Step-by-step explanation:
In parallelogram RECT is a rectangle,
EC = x + y , RT = 2x - y, RE = 2x + y and TC = 3x - 3
To find, the values of the variable = ?
∵ The opposite sides are equal.
∴ RE = TC and RT = EC
2x + y = 3x - 3
⇒ x - y = 3 .......... (1)
Also,
2x - y = x + y
⇒ x - 2y = 0 .......... (2)
Subtracting (1) from (2), we get
∴ x - y - (x - 2y ) = 3 - 0
⇒ x - y - x + 2y = 3
⇒ y = 3
Put y = 3 in equation (1), we get
x - 3 = 3
⇒ x = 3 + 3 = 6
∴ x = 6 and y = 3
Thus, the values of the variable are 3 and 6.
Heyyyyyy I need someone to help me
Answer:2 op
Io
N
Step-by-step explanation:
Zach has 53 flowers to plant.he wants to plant them in groups of 10s and 1 .zach can plant 10 flowers in each flower box. He can plant 1 flower in each pot. How many different ways can zach plant flowers in boxes and pots
Answer: He can also plant 26 flowers in each pot
Step-by-step explanation:
I need help with these 5 questions ASAP and if you answer Ill give whatever you want.
This is my 3rd posting of the question.
Answer:
1. 8n + 4
2. 5x +13
3. X + 3
4. X - 6
5. 4x + 1
Step-by-step explanation:
1.
2n + 6 and 6n -2 so simply addition will be
2n +6 +6n -2
8n +4
2.
3x + 9 + 2x + 4
5x + 13
3.
3x + 5 - 2x -2
X +3
4.
4x + 3 - 3x -9
X -6
5.
6x + 2 - 2x -1
4x + 1
The redwood national park is home to some of the largest trees in the world. Hyperion is the tallest tree in the park, with a height of approximately 379 feet. Tom wants to find the height of the tree in yards
Final answer:
To find the height of the tree in yards, divide the height in feet by 3, the conversion factor from feet to yards.
Explanation:
The Redwood National Park is home to some of the largest trees in the world, including Hyperion, the tallest tree in the park at approximately 379 feet. To find the height of the tree in yards, we can convert the height from feet to yards by using the conversion factor of 1 yard = 3 feet.
Height in yards = Height in feet / Conversion factor
Height in yards = 379 feet / 3 feet/yard
Height in yards = 126.33 yards
Therefore, the height of Hyperion is approximately 126.33 yards.
Which of the following are alternate interior angles? Select all that apply.
Option C: ∠2 and ∠8
Option E: ∠3 and ∠5
Solution:
Two parallel lines cut by a transversal.
Option A: ∠5 and ∠4
∠4 is not interior of parallel lines.
Hence it is not true.
Option B: ∠6 and ∠5
∠6 is not interior of parallel lines.
Hence it is not true.
Option C: ∠2 and ∠8
∠2 and ∠8 lies in the interior of the parallel lines.
∠2 and ∠8 lies in alternate of the transversal line.
Therefore, ∠2 and ∠8 are alternate interior angles.
Hence it is true.
Option D: ∠8 and ∠1
∠1 is not interior of parallel lines.
Hence it is not true.
Option E: ∠3 and ∠5
∠3 and ∠5 lies in the interior of the parallel lines.
∠3 and ∠5 lies in alternate of the transversal line.
Therefore, ∠3 and ∠5 are alternate interior angles.
Hence it is true.
Therefore ∠2 and ∠8, ∠3 and ∠5 are alternate interior angles.
Alternate Interior angles are on the opposite side. The Pair of angles that are alternate interior angles are ∠2 and ∠8, ∠3 and ∠5.
What are Alternate Interior angles?When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.
In the given figures, the angles that are formed on the inner side of the two parallel lines are ∠2, ∠3, ∠8, and ∠5. Since, for a pair of angles to be alternate interior angles, they must be on the opposite side of the transverse. Therefore, ∠2 and ∠8, ∠3 and ∠5 are the two pairs of alternate interior angles.
Learn more about Alternate Interior angles:
https://brainly.com/question/2656732