I have a kit for constructing a chicken coop. The kit comes with 10-foot-long beams. The instructions say to cut each beam into two pieces such that one piece is 3 times the length of the other. How many feet long should the long piece be?
Answers
Answer: long piece should be 7.5 feet long.
Step-by-step explanation: Let x be the length of the shorter piece in feet. Then, the length of the longer piece is 3x. The sum of the lengths of the two pieces is 10 feet, so we have:
x + 3x = 10
Simplifying the equation, we get:
4x = 10
Dividing both sides by 4, we find:
x = 2.5
Therefore, the length of the shorter piece is 2.5 feet, and the length of the longer piece is:
3x = 3(2.5) = 7.5 feet.
So the long piece should be 7.5 feet long.
Let's call the shorter piece "x".
According to the instructions, the longer piece should be 3 times the length of the shorter piece, so it would be:
3x
We know that the sum of the two pieces should be 10 feet:
x + 3x = 10
Simplifying the equation:
4x = 10
Dividing both sides by 4:
x = 2.5
So the shorter piece should be 2.5 feet long, and the longer piece should be:
3x = 3(2.5) = 7.5
Therefore, the longer piece should be 7.5 feet long.
Related Questions
Which choice when added to | −5 + 7 | will equal zero?
| +5 − 7 | [ 2] − | −5 + 7 | [3] | −( −5 + 7 ) | [4] | 7 − 5 |
i know the anwser is two but how do you get it
i need it by 5/1/23 at 8pm
Answers
Answer:
[ 2] − | −5 + 7 |
Step-by-step explanation:
Since we know that | −5 + 7 | is an absolute value, we know that the answer will be positive no matter what.
Step 1) Solve. | −5 + 7 | = 2.
Step 2) Find which other absolute value is equal to -2.
After solving [2], − | −5 + 7 | = -2, we know that the answer is choice 2.
We know this because | −5 + 7 | = 2, however, since it is multiplied by (-), it becomes -2. And 2 + (-2) = 0
We start by simplifying | −5 + 7 |:
| −5 + 7 | = | 2 | = 2
Now we can simplify each of the answer choices:
[2] | +5 − 7 | = | −2 | = 2
[3] | −( −5 + 7 ) | = | 2 | = 2
[4] | 7 − 5 | = | 2 | = 2
We see that only choice [2], when added to | −5 + 7 |, will equal zero:
2 + (−2) = 0
Therefore, the answer is [2] | +5 − 7 |.
i will mark brainliest xx.
Answers
Answer:
24
Step-by-step explanation:
3x - 14 + 6 - 4 - 2x = 12 => 3x -12 - 2x = 12 => x = 24
Answer:
D
Step-by-step explanation
Combine like terms:
subtract 3x-2x=x
add -14+6-4 = -12
now youll have
x-12=12
add 12 to both sides
x=24
Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
Answers
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
Please do question 19, PLEASE SHOW WORK ON PAPER OR PHONE!! Will give brainlest!
Answers
Answer:
$2.73 per gallon of gasoline
Step-by-step explanation:
super simple! will try to explain the best i can,
you need to find the cost per gallon rounded to the nearest hundreth.
lisa paid $43.95 for 16.1 gallons of gasoline.
HOW TO SOLVE
take 43.95 and divide it by 16.1
your calculator will give you 2.7298136646
round to the third decimal, the hundreth, to give you the answer of $2.73 per gallon of gasoline :)
hope this helped!
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Will give brainly by helping me make this sound better
Jeremiah was a great storyteller, but as soon as Ellie went to college, she changed. One of them being not wanting to hear all the stories he used to tell her. It was right after Ellie went back to school that Grandpa Jeremiah had a stroke, and Macon started coming around. And just about the time, Ellie came from school the, next summer his health started to deteriorate. Dr. Crawford said he had maybe a week or two at best, and from this news, everyone was devastated. And the whole family would start helping poor grandpa Jeremiah. While Macon would hang around more due to Jeremiah and his stories. But the family was concerned about him doing this rather than him resting, and that this would affect his health. But the doctor told them to allow grandpa because if it makes him feel better, it would be the greatest medicine for him. And soon, everyone started getting closer as a family as the end was coming near for grandpa Jeremiah. And soon ended up grieving together after his passing.
Answers
Answer: Jeremiah was a great storyteller, but as soon as Ellie went to college, she changed. One of them is not wanting to hear all the stories he used to tell her. It was right after Ellie went back to school that Grandpa Jeremiah had a stroke, and Macon started coming around. And just about the time, Ellie came from school the, next summer his health started to deteriorate. Dr. Crawford said he had maybe a week or two at best, and from this news, everyone was devastated. And the whole family would start helping poor grandpa Jeremiah. While Macon would hang around more due to Jeremiah and his stories. But the family was concerned about him doing this rather than him resting, and that this would affect his health. But the doctor told them to allow grandpa because if it makes him feel better, it would be the greatest medicine for him. And soon, everyone started getting closer as a family as the end was coming near for grandpa Jeremiah. And soon ended up grieving together after his passing.
Answer:
ok sounds good all I had to do was change the word: being to. is
I actually put effort into this so give me brainliest instead thanks c:
A triangle has vertices at L:(4, 4), M:(7, 4), and N:(5, 2).
The triangle is translated 7 units down and reflected across the y-axis.
What are the coordinates of L'? Write your answer as an ordered pair for full credit.
PLEASEEE HELP
Answers
di ko po yan Alam hehe sorry ha
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour. At 2 p.m., the amount of oil left in
the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 ounces.
Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon? Show your work.
Answers
Answer:
64.33 ounces
Step-by-step explanation: The rate at which the oil burns.
1 hour = 2/3 ounce
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
what is the value of f(2x)=
Xto the power of 4 and + 10xsquared -6x+ 8
please help i dont understand this
Answers
1. The function f(t) is equal to the mass of a pumpkin,
in kilograms, t days after its seed was planted.
Part A:
What does the notation f(80) = 3 mean?
Part B:
Use function notation to show 41 days after the
pumpkin seed is planted the pumpkin
has a mass of 1.2 kg.
Answers
A ball rolled from Point A to Point B in 18 second at a speed of 14 m/s. IT took another 18 seconds to roll form Pint B to Pint C at a speed of m/s. Find the total distance the ball rolled.
Answers
Answer:
d=252m, u dint put the speed it was rolling at from point B to C so I could only solve for A to B. However if you use the formula below you can find the distance from B to C and add that to A to B giving the total distance rolled.
Step-by-step explanation:
d=vt
v=14m/s
t=18s
d= vt, (14m/s)(18s)
d=252m
Please help I will mark the best one brainliest
Answers
Answer:
Step-by-step explanation:
bro z is = to -6
Z=-6
so 5(-6+6)=0 i think bro send me a comment if its wrong
Find each probability.
Answers
Answer:
5,9
Step-by-step explanation:
I think row A would be 5 and B would be 9 im sorry if im wrong
5 on top 9 on bottom
the question is: examine the triangle shown below. set up and equation and solve it to find the value of x. you must show your equation step by step.
Answers
Answer:
x=20 degrees
2x-7+6x+7+20=180
Step-by-step explanation:
the total degrees of a triangle is 180
Simplify −4r(−11r + 2r − 14).
−36r2 + 56r
−36r2 − 56r
36r2 + 56
36r2 + 56r
Answers
Answer:
-4r(-11r + 2r - 14)
Multiply -4 with all the terms inside the parenthesis
-4r*-11r = 44r^2
-4r*2r = -8r^2
-4r*-14 = 56r
Combine
44r^2 - 8r^2 + 56r
36r^2 + 56rYou are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. You worked 46 hours this week and earned $612.50.
Part A: Which equation can you use to solve for x , your normal hourly rate?
Part B: What is your normal hourly rate?
Answers
Part B: 12.5
Distribute the xs so you get 40x+9x=612.50. Then divide 612.50 by 49 to get x.
Equation that represents the given situation is 40x + 6 *1.5x = 612.50.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. You worked 46 hours this week and earned $612.50.
First, define the variables. Let’s let x = his regular pay.
For first 40 hours pay = 40x
Over time pay = 1.5x
Since he worked 46 hours
Thus his over time pay = (46 -40) *1..5x
Thus his over time pay = 6 * 1.5x
Since, You worked 46 hours this week and earned $612.50.
linear equation that represents the given situation
40x + 6 *1.5x = 612.50
Normally hourly rate:
40x + 9x = 612.50
49x = 612.50
x =12.5
Therefore, Equation that represents the given situation is 40x + 6 *1.5x = 612.50.
Learn more about Linear Function here:
https://brainly.com/question/20286983
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Find the height of a triangle that has an area of 18 in.² and a base of 9in.
PLZ SHOW STEP AND STEP CUZ I NEED TO SHOW MY WORK
Answers
Answer:
The height of the triangle is 4 in.
Step-by-step explanation:
Formula= a=1/2bh
Subsitute= 18 in^2=1/2(9)h
Multiply= (9)1/2= 4.5 in.
Divide 18/4.5= 4 in.
So the height would be 4 in.
Check If you aren't sure.
a=1/2bh
a=1/2(9)(4)
a=1/2(36)
a=18 in^2
Answer:
The height of the triangle is 4 in.
Step-by-step explanation:
Formula= a=1/2bh
Subsitute= 18 in^2=1/2(9)h
Multiply= (9)1/2= 4.5 in.
Divide 18/4.5= 4 in.
So the height would be 4 in.
Check If you aren't sure.
a=1/2bh
a=1/2(9)(4)
a=1/2(36)
a=18 in^2
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
Answers
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
Learn more about ordered pairs here:
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Answer:1 to 2
2 to 4
Step-by-step explanation:
Tell whether each relation is a function. Explain how you know.
3. {(1, 5), (3, 7), (6, 5), (9, 8}
4. {(1, 2, (1, 8), (3, 6), (4, 8)}
Answers
Answer: None of them are a function
Step-by-step explanation: they don't relate
4.) This is not a function because their are two 1’s in the x value
ABC is a right triangle with vertices B (9, 4) and C (3, 9).
What are the coordinates of vertex A?
Enter your answers in the boxes.
Answers
Answer:
A (3, 4)
Step-by-step explanation:
A has to be positioned horizontally along B. This means its x coordinate is the same as x-coordinate of B which is 4
A also has to be positioned vertically below C. This means its y coordinate is the same as the y-coordinate of C. So y-coordinate of A is 3
So coordinates of A are (3, 4)
Please Help Me With This Math!!
Answers
Write the expression:
subtract 10 from r, then double the result
Answers
Answer: (q + 10) - r
Step-by-step explanation:
2(r-10)
The shaded area of this graph shows a bird's eye view (a view from above) of a single-story building. Each division on the x and y-axis represents a distance of 2 yards. What is the square yardage of the roof of the building?
Answers
Answer:
252 square yards.
Step-by-step explanation:
To find the square yardage of the roof of the building, we need to calculate the area of the shaded triangle and the area of the shaded rectangle.
First, let's calculate the area of the triangle:
Base of the triangle = 6 divisions = 6 x 2 yards = 12 yards
Height of the triangle = 5 divisions = 5 x 2 yards = 10 yards
Area of the triangle = (1/2) x base x height
= (1/2) x 12 yards x 10 yards
= 60 square yards
Next, let's calculate the area of the rectangle:
Length of the rectangle = 8 divisions = 8 x 2 yards = 16 yards
Width of the rectangle = 6 divisions = 6 x 2 yards = 12 yards
Area of the rectangle = length x width
= 16 yards x 12 yards
= 192 square yards
To find the square yardage of the roof, we add the area of the triangle and the area of the rectangle:
Total area = 60 square yards + 192 square yards
Answer:
Step-by-step explanation:
1. there is a box of supplies on the end of a rope that is on a pulley. The pulley has a radius of 1/4 foot.
A . How far can you move the box of supplies in 8 rotations of the pulley? Show and explain all of your work
B. How far can you move the box of supplies in 8 rotations if the radius of the pulley is doubled? Show and explain all of your work.
Answers
Answer:
to put it simply it's a pretty easy question and it's b
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answers
Answer:
no bro, sorry. even though I needed to I don't have it
How does the graph of g(x) = 2^x+3 differ from the graph of f(x) = 2^x ? **WILL BE GIVING BRAINLIEST**
Answers
Answer: 3 units up
Step-by-step explanation:
The 2^x is the same, but the first equation is +3 (y-intercept), so it is translated 3 units up.
please help!! thankssss :)
Answers
Answer: I think its C
Step-by-step explanation:
What is the equation of this graphed line?
Answers
Answer: y=-9/8x+7
Step-by-step explanation:
A straight line is a function if it can be written in the form y = mx + b.
Question 1 options:
True
False