Answer:233.333%
Step-by-step explanation:
1. 10-3=7 subtract end by start
2.7/3=2.333 divide difference by absolute value of start
32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing
hoped this helped
Machine A can fill 1 box of nails in 6 minutes. Machine B can fill 1 box of nails in 9 minutes. They started to work at the same time and they stopped also at the same time. In all they filled 100 boxes. How many were filled by machine A?
A-
1 box --- 6 minutes
y boxes --- 1 minute
y = 1/6
B-
1 box --- 9 minutes
t boxes --- 1 minute
t = 1/9
So...
r - used time
r(1/9 + 1/6)=100
r=(100.18)/5
r= 360 minutes
1/6 . 360 = 60 boxes
answer: 60 boxes
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
Let's use the concept of the rate of work to solve this problem. The rate of work is the amount of work done per unit of time.
Machine A's rate of work is 1 box of nails every 6 minutes.
Machine B's rate of work is 1 box of nails every 9 minutes.
Let's assume that machine A filled x boxes, and machine B filled y boxes. Since they worked for the same amount of time, the total number of boxes filled by both machines is 100.
So, the equation representing the total work is:
x (boxes filled by A) + y (boxes filled by B) = 100
Now, let's use their rates of work to form two more equations:
Rate of work of A = 1 box every 6 minutes
Rate of work of B = 1 box every 9 minutes
Since work = rate × time, we can write two equations:
x (boxes filled by A) = (1/6) * t (time in minutes)
y (boxes filled by B) = (1/9) * t (time in minutes)
Since they both worked for the same time, we can set the time for both machines as equal:
t = t
Now, we have a system of equations:
x + y = 100
x/6 = y/9
t = t
Let's solve the system of equations. We can start by substituting the value of y from the second equation into the first equation:
x + (x/6)*3 = 100
x + (x/2) = 100
Multiply both sides by 2 to eliminate the fraction:
2x + x = 200
3x = 200
x = 200/3
Now, let's find the value of y using the second equation:
y = (x/6)*3
y = (200/3)/6 * 3
y = 200/3
So, machine A filled 200/3 boxes of nails, which is approximately 66.67 boxes.
Machine B filled 200/3 boxes of nails, which is also approximately 66.67 boxes.
Since they cannot fill a fraction of a box, we can distribute the remaining 2/3 box between machine A and machine B, giving one extra box to each.
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
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Round 18.049 to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
Note the tenth place value (underlined and bolded): 18.049
Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.
Note the rules of rounding. If the number:
1) is 5 or greater, round up.
2) is 4 or less, round down.
In this case, it is 4, so you will round down.
18.049 rounded to the nearest tenth is 18.0
~
Answer:
18.0
Step-by-step explanation:
first time i put 18 and it was wrong so
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
(−4, 18)
(0, -2)
(-8, -2)
(−4, −18)
===================================================
Explanation:
A graph is a nice addition (and it will likely help us see the vertex directly), but it isn't necessary because we can use the equation given to us. Though I recommend using a graphing calculator to confirm the answer.
The original function is the same as y = 1x^2+8x + (-2). We see that it is in the form y = ax^2+bx+c where
a = 1
b = 8
c = -2
Use the values of 'a' and b to get the value of h, which is the x coordinate of the vertex.
h = -b/(2a)
h = -8/(2*1)
h = -4
The x coordinate of the vertex is x = -4. Plug this into the original equation to get
f(x) = x^2+8x-2
f(-4) = (-4)^2 + 8(-4) - 2
f(-4) = -18
Plugging x = -4 into f(x) leads to y = -18. The point (-4, -18) is on the parabola. Furthermore, this is the vertex (h,k)
------------
Alternatively, you can complete the square as shown below
y = x^2 + 8x - 2
y = (x^2 + 8x) - 2
y = (x^2 + 8x + 0) - 2
y = (x^2 + 8x + 16 - 16) - 2
y = (x^2 + 8x + 16) - 16 - 2
y = (x+4)^2 - 18
y = 1(x+4)^2 - 18
y = 1(x-(-4))^2 - 18
The last equation is in the form y = a(x-h)^2 + k with (h,k) = (-4,-18) being the vertex. The 16 is the result of taking half of 8 and squaring that result. We have 16-16 = 0 to make sure that we don't change the equation and keep things balanced. This is the same as adding 16 to both sides. All of this is done so we can end up with the (x+4)^2 perfect square portion.You can expand out (x+4)^2 - 18 and you should get x^2+8x-2 again.
d) Use your knowledge of scale drawings and image sizes to fill in the missing
information in the table. (3 points)
Empire State Building
Original
Image
Actual Height
(in feet)
1,450
1,450
1,450
Reduced
Image
Model Height
(in blocks)
145
1
1
Scale Factor
25
50
Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
__
* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
Answer: Image
Step-by-step explanation:
took the test
what fraction is equal to 75% of 1/3 ? PLZ TELL MEH PPL IM DUMB IKKKKK
Answer:
0.25 or 1/4
Step-by-step explanation:
1/3 * 75/100 = 75/300 = 1/4 = 0.25
[tex]75\%\cdot\dfrac{1}{3}=\dfrac{3}{4}\cdot\dfrac{1}{3}=\dfrac{1}{4}[/tex]
I need help whats 5/8 + 14 the 5/8 is a fraction
Hey there!
5/8 + 14 = ?
We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation
14 * 8 = 112 (upcoming numerator for now)
8 * 1 = 8 (upcoming denominator for now)
5 stays alone
New equation 5 + 112 / 8
5 + 112 = 117 (numerator)
8 = 8 (demominator)
Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)
⬆ ANY one of these choices SHOULD work
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Half of what?= 32 1/2
Half of the number 65 is [tex]32\frac{1}{2}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given fraction is [tex]32\frac{1}{2}[/tex].
Let x be unknown number.
Then, the equation is
1/2 of x=[tex]32\frac{1}{2}[/tex]
x/2 =32.5
x=65
Therefore, half of the number 65 is [tex]32\frac{1}{2}[/tex].
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In triangle GHI, GH= 2cm
please do 3 and 4
Answer:
Tan D = 7 / 4
Sin D = 7 / 8.1
Cos D = 4 / 8.1
IG = 4.95 Cm
Step-by-step explanation:
In question number 3
Tan D = Perpendicular / Base
Tan D = 7 / 4
Sin D = Perpendicular / hypotenuse
Sin D = 7 / 8.1
Cos D = Base / hypotenuse
Cos D = 4 / 8.1
In question number 4
Tan 68° = IG / GH
2.475 = IG / 2
IG = 4.95 Cm
Help plz and explain if possible
Answer:
d
Step-by-step explanation:
-5+2(10b-2)=31 need help thanks!
Answer:
[tex]\Large \boxed{b=2}[/tex]
Step-by-step explanation:
-5+2(10b-2)=31
Expand brackets.
-5+20b-4=31
-9+20b=31
Add 9 on both sides.
20b=40
Divide both sides by 20
b=2
Answer:
b = 2Step-by-step explanation:
-5+2(10b-2)=31
Multiply the terms in the bracket
That's
- 5 + 20b - 4 = 31
Group like terms
Send the constants to the right side of the equation
That's
20b = 31 + 4 + 5
Simplify
20b = 40
Divide both sides by 20
We have the final answer as
b = 2Hope this helps you
Find the area and perimeter of the shaded region.
Answer:
Area: [tex]50\pi -100[/tex]
Perimeter: 20[tex]\pi[/tex]
Step-by-step explanation:
If we take half of one of these "pedals" we can see that it is simply 1/4 of a circle with radius 5, subtracted by a triangle. Let's calculate this half-pedal.
[tex]1/4(25 \pi) - 1/2(5* 5)[/tex]
That means 4 pedals is equal to:
[tex]8(1/4(25\pi) - 1/2 (25))[/tex]
[tex]50\pi - 100[/tex]
So.. The area of the shaded region is [tex]50\pi -100[/tex]
Perimeter is even simpler. the half-pedal is just 1/4 of the circumference of the circle. The circumference is just [tex]10\pi[/tex], which means our half pedal is:
[tex]1/4(10\pi )[/tex]
Multiplying by 8, our perimeter is just 20[tex]\pi[/tex].
can somewon help me plz
Answer:
parallel
Step-by-step explanation:
We are cutting in the same direction as the base, so the slices is parallel to the base
Determine whether each equation is an identity or whether it has no solution.-3(2x+1)=2(-3x-1) help is this a no solution or infinite
Answer:
No solution.
Step-by-step explanation:
Distribute.
-3(2x + 1) = 2(-3x - 1)
-6x - 3 = -6x - 2
Combine like terms.
-6x - 3 = -6x - 2 add 3 to both sides
-6x = -6x + 1 add 6x to both sides
0 = 1 this is false.
Because we ended up with a false equation, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
Perform the indicated multiplication, using the distributive property.
-3(2x+1)=2(-3x-1) becomes -6x - 3 = -6x - 2
This has no solution because -3 is never equal to -2.
Both of these question please help me!!!!!!
Answer:
1. A=3x^4y^4 2.B= 2^6=64
Step-by-step explanation:
hope this helps pls mark brainliest
help me with these thanks
5x1+1x(1/10)+3x(1/100)+6x(1/1000) in standard form
Answer:
642/125
Step-by-step explanation:
and the other person got it
Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8
Answer: I dont know if this is right but the is 8 Ive never done this before.
Step-by-step explanation:
1 =
4 =
1 =
4 =
r− 5 ⋅ 2 = 1 = r = 11
8 = r = 11
help can somewon help me
Answer:
504 in³
Step-by-step explanation:
The volume of the overall outside dimensions is their product:
Voverall = (12 in)(8 in)(6 in) = 576 in³
The volume of the "slot" is the product of its dimensions:
Vslot = (6 in)(6 in)(2 in) = 72 in³
Then the volume of the figure shown is ...
Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³
Answer:
504 inches cubed
Step-by-step explanation:
The area missing is 6*6*2=72
The whole area is 576
subtract the two and get 504
since we are talk about volume it is 50 inches cubed
Please if anyone could answer this question. Me and my friends tried but only got headache at last. Kinda stuck in this question now.
Answer:
3/4 of the whole day(24 hours)
Step-by-step explanation:
1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16
5/8 of his waking time (16 hours ) equal to 10 hours.
now total time spent in his house 10 + 8 = 18
in fraction 18/24 = 3/4
He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)
2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake
Add 1/3 and 5/12 to get
1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4
He spent 3/4 of a whole day at home (equivalent to 18 hours)
Answer: 3/4What is 0.75 as a fraction?
Answer:
3/4
Step-by-step explanation:
We would like to find what 0.75 is as a fraction.
Remember that since there are two digits past the decimal point, the denominator will 100.
So, the numerator is 75 and the denominator is 100. We now have:
75/100
We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:
75 / 25 = 3
100 / 25 = 4
The answer is thus 3/4.
~ an aesthetics lover
2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.
Answer:
P(-3) = -2
Step-by-step explanation:
Substitution
P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8
P(-3) = -2
__
Long Division
See the working below. The remainder is -2, so ...
P(-3) = -2
If the probability that a person will die in the next year is 771/100,000
what is the probability that the person will not die in the next year?
A. 0.771%
B. 99.229%
C. 0.229%
D. 99.771%
Answer:
(B) 99.229%
Step-by-step explanation:
If the probability of someone dying next year is [tex]\frac{771}{100000}[/tex], that means the probability of someone NOT dying next year is [tex]\frac{100000-771}{100000} = \frac{99229}{100000}[/tex].
To find the percent value of this fraction, we divide 99229 by 100000 and multiply by 100.
[tex]\frac{99229}{100000} = 0.99229\cdot100=99.229[/tex]
So, the answer is B, 99.229%.
Hope this helped!
What will I get for this 16 + x = 12
Answer:
x = -4
Step-by-step explanation:
16 + x = 12
16 - 16 + x = 12 - 16
x = -4
What is the solution of the inequality shown
below?
y+7<-1
Answer:
y<-8
Step-by-step explanation:
y<-1 - 7
y<-8
Answer:
y < -8
Step-by-step explanation:
To solve an inequality, we must get the variable, y, isolated on one side of the inequality.
[tex]y+7 < -1[/tex]
7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.
[tex]y+7-7< -1-7[/tex]
[tex]y < -1-7[/tex]
[tex]y < -8[/tex]
The solution to the inequality is: y< -8
Annabelle works in a department store selling clothing. She makes a guaranteed
salary of $500 per week, but is paid a commision on top of her base salary equal to
30% of her total sales for the week. How much would Annabelle make in a week in
which she made $2400 in sales? How much would Annabelle make in a week if she
made x dollars in sales?
Earnings when selling $2400:
Earnings when selling $x:
Answer:
No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220
No 2 would be 500 + x*30/100
Step-by-step explanation:
Answer:
$1200 and 500+ .3x
Step-by-step explanation:
Use this equation: 500+ .3x and insert in 1200.
Made equation by taking garented amount, $500, and have that be added. Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.
What is the value of r in the equation?
-1.5(4-r)=-12
0 -6
-4
4
06
Answer:
r = -4Step-by-step explanation: I hope it helps :)
[tex]-1.5(4-r)=-12\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4-r\right)\cdot \:10=-12\cdot \:10\\\\= -15\left(4-r\right)=-120\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\\\frac{-15\left(4-r\right)}{-15}=\frac{-120}{-15}\\\\4-r=8\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\\\4-r-4=8-4\\\\-r=4\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\\\frac{-r}{-1}=\frac{4}{-1}\\\\r=-4[/tex]
Answer:
r = -4
Step-by-step explanation:
-1.5(4-r)=-12
Divide each side by -1.5
-1.5/-1.5(4-r)=-12/-1.5
(4-r)=8
Subtract 4 from each side
4-r-4 = 8-4
-r = 4
Divide each side by -1
r = -4
Find the total surface area of this cone.
Round to the nearest tenth.
Answer:
A ≈ 312.1
Step-by-step explanation:
[tex]A = \pi r(r+\sqrt{h^2 + r^2})[/tex]
r = 5
h = 14
[tex]A = \pi 5(5+\sqrt{14^2+5^2})[/tex]
A = 312.055478161
In the triangles, TR = GE and SR = FE.
Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.
if Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?
Answer:
3.2 ft
Step-by-step explanation:
the only thing you need to know is that congruent means that all the side and the same and the shape can be flipped and still look the same so the measure of the line segment is 3.2ft
Answer:
3.2 ft
Step-by-step explanation:
The answer above is correct.
If dn = ‾‾√24, what value of n makes this equation true?
Answer:
1/24
Step-by-step explanation:
Answer:
1/24 makes this equation true
what is the right answerrrr??
Answer:
C. Two lines are perpendicular if they have opposite slopes
Step-by-step explanation:
Hey there!
Well 2 lines that are perpendicylar have reciprocal slopes for example,
2 and 1/2 are 2 slopes that are perpendicular.
Hope this helps :)
