Answer:
a) Smallest line that can be made with each color = 300 cm
b) Total strips should be used = 47 strips
c) Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Step-by-step explanation:
Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.
To find - a) How long is the smallest line that can be made with each color?
b) How many strips should be used?
c) How many of each color?
Proof -
a)
For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.
Firstly,
Decompose the 3 strips to its prime factors , we get
15 = 3×5
20 = 2²×5
25 = 5²
So,
The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300
∴ we get
Smallest line that can be made with each color = 300 cm
b)
Now,
Total strips used = 300 cm
Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips
Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips
Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips
So,
Total strips should be used = 20 + 15 + 12 = 47 strips
c)
Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
The function f(x)=(25)x
is shown on the coordinate plane. Which statement is true?
Answer: In the right end, as x increases without bound, the graph of f(x) decreases.
In the left end, as x decreases without bound, the graph of f(x) increases.
Step-by-step explanation:
According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.
Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.
Which function produces an output of 5 for an input of -6?
A.f(x) = x + 1
B.f(x) = 2x + 4
C.f(x) = x - (-1)
D.f(x) = -x - 1
Answer:
The answer is D
Step-by-step explanation:
Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)
15
Decide whether each expression simplifies to a number less than-1, greater than 1, or
Neither
neither. Mark an X in the correct column for each expression.
Greater than 1
Less than -1
Expression
-7+ (-4)
-(3 ÷ 2)
(-5) ÷ (-3)
(-9) - 6
Answer:
less than -1
less than -1
greater than 1
greater than 1
Step-by-step explanation:
[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]
LESS THAN -1
________________________________
[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]
LESS THAN -1
________________________________
[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]
GREATER THAN 1
________________________________
[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]
LESS THAN -1
________________________________
I’ll give Brainly est help
Answer:
B. 25
Step-by-step explanation:
PLEASE ANSWER!!!
A. 4x+2=70+35
B. 4x+72=180
C.180=4x+107
D. 180=109x+2
Answer:
c
Step-by-step explanation:
its c , absolutely.............
Answer:
C * 180 = 4x + 107
Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180
Calculate the mean for each set of data.
a 12, 18, 9, 14, 8, 7
Answer:
11.3, rounded
Step-by-step explanation:
mean = average. Add them all up, then divide by how many entries/data points you have.
12 + 18 + 9 + 14 + 8 + 7 = 68
There are 6 numbers we added, so 68/6 = 11.3333333
Please let me know if you have questions.
Graph f(x) = 6x^2-11+3 and
find the zeroes
Answer:
x = ±1.155
Step-by-step explanation:
We need to graph the given function [tex]f(x) = 6x^2-11+3[/tex] and find its zeroes.
The attached figure shows the graph of the given function.
To find zeroes,
Put f(x) = 0
So,
[tex]6x^2-11+3=0\\\\x=\pm 1.155[/tex]
Hence, this is the required solution.
daniel uses a 20.00 bill to purchase an item that costs d dollars. Write an equation to represent the amount of chnage c that he should receive?
Answer:
c= 20.00-d
Step-by-step explanation:
Newton's law of gravitation state that the force F of attraction between two bodies varies jointly as their masses M1 and M2 and inversely as the square of the distance between them. Two bodies whose centers are 500mi apart attract each other with a force of 15lb.What will be the force of attraction if their masses were tripled and the distance between their centers doubled?
use the substitution method to solve
3x + 2y=12
y=2x -1
Answer:
1. y=2
2. y= - 2
Step-by-step explanation:
Thats my answer hope it helps
Answer:
the solution is : (2 , 3)
Step-by-step explanation:
hello : here is an solution
3x + 2y=12.....(*)
y=2x -1.....(**)
put the value for y in (*) :
3x + 2(2x-1)=12
3x+4x-2 = 12
7x =14
so : x =2
but : y=2x -1
y =2(2)-1 = 3
the solution is : (2 , 3)
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Answer:
Yes.
Step-by-step explanation:
If you change nothing but the angle and positioning of the original shape, then it is congruent.
.
Mary bought an antique vase to display her flowers like the one pictured below.
The vase has a radius of 1.5 inches and a height of 7 inches. If she wanted to wrap the vase for safe storage, which value best represents the total surface area?
65.97 inches square
14.14 inches square
80.11 inches square
10.5 inches square
Help me please! This is due today!
Answer:
the question is fillped i can not see the questions
Step-by-step explanation:
12. Find m please help.
Answer:
m<ADE = 59°
Step-by-step explanation:
Each angle of a rectangle = 90°
Therefore:
m<ABE + m<CBE = 90°
(4x + 15)° + (13x + 7)° = 90°
Solve for x
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 90 - 22
17x = 68
x = 68/17
x = 4
✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:
m<ADE = m<CBE
m<ADE = (13x + 7)° (Substitution)
Plug in the value of x
m<ADE = 13(4) + 7
m<ADE = 52 + 7
m<ADE = 59°
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.
The function rule is f(x) = x - 12 and the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
Completing the function table and write the function rule.From the question, we have the following parameters that can be used in our computation:
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
The slope is calculated as
m = (2 - 20)/(14 - 32)
m = 1
So, the equation is
y = mx + c
Using the points, we have
1(32) + c = 20
Evaluate
c = -12
So, we have
f(x) = x - 12
Using the above function, we have the following function values
f(-10) = -10 - 12 = -22
x - 12 = -6
x = 6
So, the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
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Sam has worn a green shirt on 10 of the last 20 days. Considering this data, how many times
would you expect Sam to wear a green shirt in the next 12 days?
Answer quickly
I think it is 6 because 10 is half of 20 so 6 is half of 12
Sam should wear green shirt for 6 days in next 12 days.
What is fraction?Fraction is a number that represent part of a whole quantity. It has two parts, numerator and denominator, the number above the horizontal line is numerator, and number under the the line is denominator.
Given,
Sam wore green shirt on 10 of the last 20 days
Fraction of days the wearing green shirt to total days = 10/20 = 1/2
Number of days of wearing green shirt in next 12 days
= 12 × 1/2
= 6 days
Hence, in next 12 days, Sam should wear green shirt for 6 days.
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Look at screen shot below
----------------------------------------------------------
Answer:
1st option is the correct answer
What is the following difference?
11 inverse 45 -4 inverse 5
throws?
8) A different weatherman is found to be correct 55% of the time. If he gives 300 forecasts how many times will he NOT be
correct?
Solve for x. logo(x-3) = 2
Answer:
x=5
Step-by-step explanation:
5-3=2
i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
PLEASE HEEEEEELP!!
Answer:
180- 20
Step-by-step explanation:
A straight line is 180 therefore the piece that is cut off has to be subtracted from 180. 20 is the cut off piece. 180-20= 160
There u go hehehehewh full question
Please help me out . :)
Answer:
1080ft cubed
Step-by-step explanation:
The formula is "lenght times width times height."
Please help meeeee! I’m stuck
Answer:
x = 12
Step-by-step explanation:
(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees
14x + 12
180 - 12 = 168
14x = 168
/14 | /14
x = 12
Top left angle: (8x - 1)
8*12 - 1
96 - 1
= 95
Sorry! gtg I hope this helps!
Angle Measures and segment lengths. Find x.
I hope this helps you
8^2=4.(4+x)
64=4.(4+x)
16=4+x
x=12
Select the equation written in standard form.
A) x+y=3
B) none of the other answers are correct
C) y=3×+7
D) y+7=×
E)×=2+3y
Answer:
c
Step-by-step explanation:
standard form is y=mx+b
If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for π. Round to the nearest whole number if necessary.
Answer: 15
Step-by-step explanation:
The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15
The radius of the inflated beach ball is equal to 58 inches.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given: The volume of the sphere is 14,310 inches³
we know the volume of the sphere is 4/3 πr³
Thus equating we get
4/3 × 3.14×r³=14310
r³=3417.99
r³=3418
r=58.463 or 58 (approx)
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Danielle ran the first
Of a 6-mile race. How many miles did she run?
Answer:
1 1/5 miles or 1/2 miles
Step-by-step explanation:
1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles
1. 48 cm
2. 30 cm
3. 24 cm
4. 54 cm
what's the answer
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm