Answer:
Step-by-step explanation:
The given parameters are;
The length currently used to make staple strips by the company = 8-meter pieces
The process of making staples by the company = Cut, bending, and bonding
Therefore, given that the process of manufacturing staple strips are by cutting strips of wire, we have;
The wire most suitable for the manufacture of staple strips is a wire that is a factor of 8
Therefore, among the given options, the wire with length l = 4-meters which is the 8-meter length split into two, is the most suitable, because 4-meter = 8-meter/2, whereby 4 is seen as a factor 8 or 8 = 4 × 2, such that two 4-meter wire strips will make the same quantity of staple pins as one 8-meter strip.
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel dart does land on the dart board
Step-by-step explanation:
The given parameters are;
The height from the floor to the bulls eye = 5 feet 8 inches
The size of the standard board = 18 inches diameter
The distance of the bulls eye from the wall to the left = 11 feet
The distance the dart Samuel throws land from the left wall = 11.5 feet
The distance above the ground, the dart Samuel throws land = 5.5 feet
Whereby Samuel throws the dart directly at the dartboard, we have;
The location of the bulls eye = (11, 5.67)
The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625
The unit of the radius is in feet
The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)
Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;
(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²
Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;
Yes, Samuel dart does land on the dart board.
From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;
Samuel's dart does not land on the dartboard.
We are given;
Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft
Diameter of the standard dartboard = 18 in = 1.5 ft
Thus, radius; r = 1.5/2 = 0.75 ft
Distance of the bulls eye from the wall to the left = 11 ft
Distance of dart thrown by Samuel from the left wall = 11.5 ft
Height of dart thrown by Samuel above the ground = 5.5 ft
We know that general equation of a circle is;
(x - a)² + (y - b)² = r²
Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft
And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft
Thus;
(x - 11)² + (y - 5.67)² = 0.75²
(x - 11)² + (y - 5.67)² = 0.5625
Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;
r² = (11.5 - 11)² + (5.5 - 5.67)²
r² = 0.2789
r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.
Read more at; https://brainly.com/question/18430680
what are these rational numbers in order? 3/4, 2/7, 2/10, 5/8, 2/3, 8/4.
Answer:
2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4
Step-by-step explanation:
I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.
The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle
Answer:
yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh
Step-by-step explanation:
Pleaseeee help !!! I don’t under stand this
Answer:
first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt
is 10.50$
I need help, this teacher isn't explaining things like she is supposed to
Answer:
3 and 4
Step-by-step explanation:
13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.
5. Evaluate the following expression for r = 5.
3r + (2-4)
Answer:
If r= 5 in 3r+(2-4)
it will beome
3(5)+(2-4)
= 15+(-2)
= 15-2
= 13
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Solve the problem algebraiclly i
Answer:
x=-3.75
Step-by-step explanation:
17 = -13-8x
30=-8x
x=-3.75
Answer:
Step-by-step explanation:
17=-13-8x
Step 1: add 13 to both sides
30=-8x
Step 2: divide by -8
-3.75=x
Does 3 times 48 equal 4 times 36
Answer:
Yes
Step-by-step explanation:
3 x 48 = 144
4 x 36 = 144
They are equal.
Answer:
3 * 48 is 144 4 x 36 is also 144 so yes they are equal
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13
write the linear equation in standard form y=4/3x-2/3
Answer:
The answer would be -4/3x+y=-2/3
Step-by-step explanation:
The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.
The shape show that there are 4 squares for every
i would say 6 circles, so the second one.
Answer:
6 circles
Step-by-step explanation:
because yess
Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.
Answer:
$42 per hour
Step-by-step explanation:
Well,
She got $504 in total
8 + 4 = 12 (the total number of hours worked)
To find out how much she earned per hour you'll need to divide.
$504 ÷ 12
which equals $42
Answer:
Maria earned $42 per hour.
Step-by-step explanation:
First, we need to add the total amount of hours she worked.
8 + 4 = 12
Next, we need to divide 504 and 12 to see how much she earned per hour.
504 ÷ 12 = 42.
So, Maria earned $42 per hour.
I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)
Will give brainliest for the first and the correct answer.
Answer:
x=4
Step-by-step explanation:
Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.
Answer:
A.) x = 4
Step-by-step explanation:
If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:
[tex]\frac {(4+20)} {2} = 12[/tex] which is equal to 3(4).
What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
5h=srt solve for t please help
Answer:
t=t
Step-by-step explanation:
we need h
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
(-9) - (-37) =
A -29
B -40
C 28
Answer:c: 28
Step-by-step explanation:
Please help!! not sure if this is right :(
Answer:
Your answer is correct.
Step-by-step explanation:
Can someone please help me
Answer:
(0,4)
Step-by-step explanation:
The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.
N only comes up from 0 on the x-axis, so that's the first part of the coordinate.
Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.
so your answer is (0,4)
Look at image please help I’m struggling 4 more minutes for the test is over
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11
Simplify (−3.5)(−3)(−6.4).
1. −672
2. −67.2
3. 67.2
4. 672
Answer:
2 -67.2
Step-by-step explanation:
-3.5 Times -3 = 10.5
10.5 Times -6.4 = -67.2
Answer:
2. -67.2
Step-by-step explanation:
(−3.5)×(−3)×(−6.4)=−67.2
I have done it before and I did the work.
2 ones and 96 thousandths as a decimal number
Answer:
2.096
Step-by-step explanation:
1.) 9x + 2x - 5x + 7 - 6
Answer:
6x+1
Step-by-step explanation:
9x+2x-5x+7-6
11x-5x+7-6
6x+1
Awnser: 6x+1 :D
What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1
5a+12 = 9A-12
Can anybody help me ?
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?
Answer: He can load at most 20 boxes.
Step-by-step explanation:
Let x = Number of boxes.
Then, Weight of 75 boxes = 75x
Also, Weight of worker = 200 pounds
So total weight in elevator = Weight of 75 boxes + Weight of worker
= 75x +200
A warehouse elevator can hold 1750 pounds.
∴ 75x +200 ≤ 1750
⇒ 75x ≤ 1750 -200
⇒ 75x ≤ 1550
⇒ x ≤ 20.67 [Divide both sides by 75]
It implies the maximum number of boxes it can hold = 20
Hence, the true statement is
He can load at most 20 boxes.
2 triangles have identical side lengths and angle measures. The second triangle is rotated about 45 degrees.
What type of transformation maps ΔQRS to ΔQ'R'S'?
dilation
reflection
rotation
translation
Answer: C. Rotation
Step-by-step explanation:
on ed
Answer:
the answer is C rotation
Step-by-step explanation:
on ed 2020
3x + 5.9 = 14.6
What's the answer?
Answer: X=2.9
Step-by-step explanation:
Nadia charges $5.50 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.
Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Answer:
about 34 hours
Step-by-step explanation:
Answer:
35 hours.
Step-by-step explanation:
To achieve an answer to this question, we'll have to set two expressions equal to each other.
Let's first start by calculating how much Nadia has made in the first two weeks of the month. We can do this by adding the amount of hours she works in the first and second week together:
[tex]21+17.5[/tex]
[tex]=38.5[/tex]
Let [tex]h[/tex] equal hours.
Set up your first expression:
[tex]5.50h[/tex]
Let's go ahead and substitute 38.5 into the expression to see how much money she will make the first two weeks of the month at a rate of $5.50 an hour:
[tex]5.50(38.5)[/tex]
[tex]=211.75[/tex]
We are told that Nadia raises her rate by $0.55, so we'll need to add 0.55 to 5.50 in order to find her increased rate:
[tex]5.50+0.55[/tex]
[tex]=6.05[/tex]
Set up your second expression:
[tex]6.05h[/tex]
Now, set this equal to how much she made the first two weeks at a rate of $5.50 an hour:
[tex]211.75=6.05h[/tex]
Divide both sides of the equation by the coefficient of [tex]h[/tex], which is [tex]6.05[/tex]:
[tex]35=h[/tex]
Therefore, it will take Nadia 35 hours to earn the same amount of money she made in the first two weeks of the month.
_
Check your work by substituting 35 for [tex]h[/tex] in the equation below:
[tex]211.75=6.05h[/tex]
[tex]211.75=6.05(35)[/tex]
[tex]211.75=211.75[/tex]
Since both sides of the equation are equal to each other, our answer is correct!
Divide n by 5 then add 6
Answer:
n+30/5
Step-by-step explanation:
Simplify n/5
n/5+6
Rewrite the whole as an equivalent fraction
2.1 Add an integer to a fraction
Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5
Equivalent fraction: the fraction thus generated looks different but has the same value as everything.
2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator
Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:
n+6×5/5=n+30/5