Answer:
A. x + 100x/y
Step-by-step explanation:
Machine A= x hours longer to produce 660 widget than machine B
Machine B produces y% more widget per hour than machine A
let
b = Number of hours it takes Machine B to make 660 widgets.
Time taken for Machine A to make the 660 widgets = x + b.
Rate of Machine B = 660/b
Rate of Machine A = 660 / (x + b).
Machine B produces y% more widgets per hour than Machine A:
660 / (x + b)(1 + y/100) = 660/b
1 / (x + b)(1 + y/100) = 1 / b
Multiply both sides by (x+b)
1 + y/100 = (x + b)/b
1 + y/100 = x/b + 1
Subtract 1 from both sides
y/100 = x/b
Take the inverse of both sides
100/y = b/x
Make b the subject
100x/y = b
b=100x/y
The time taken for Machine A to make the 660 widgets is x + b = x + 100x/y.
Answer is A. x + 100x/y
A student decided to research primate psychology for their science project. They measured how long it took gorillas to adapt to their new habitat when moved from one zoo to another. They measured how long it took the new gorilla to interact regularly (more than 3 times per day) with the gorillas that already live there. Seven different cases were examined and the data collected. What can be said about the data?
The question is not complete, so i have attached it.
Answer:
Option A - The data may not be reliable because there is an outlier.
Step-by-step explanation:
Looking at the question attached and the number of the gorrila vis - a - vis the time to interact, we can see that majority of the time to interact falls between 2.5 and 3.4.
However, we have a time of 8.3 days which is for gorrila 3.
This 8.3 is far higher than the range of the other values. Thus, we have an outlier because an outlier is a value is much more smaller or larger than most of the other values in a set of given data.
Thus, the data may not be reliable because there is an outlier.
Negative solution for Multi-step equations
Answer:
[tex]\frac{1}{2}(4x+6)+3x=7x+9[/tex]
[tex]\frac{1}{2}(4x+8)+3x=7x+9[/tex]
Step-by-step explanation:
By putting the numbers in the given equation,
[tex]\frac{1}{2}(4x+6)+3x=7x+9[/tex]
2x + 3 + 3x = 7x + 9
5x + 3 = 7x + 9
(5x + 3) - 7x = (7x + 9) - 7x
(5x - 7x) + 3 = 9
-2x + 3 = 9
(-2x + 3) - 3 = 9 - 3
-2x = 6
[tex]-\frac{2x}{2}=\frac{6}{2}[/tex]
-x = 3
x = -3
Therefore, our equation is correct which has a negative result.
In place of 6 if we use 8, value of x will be negative again.
20. Find the midpoint between the given points.
(3, -8) and (-5, -13)?
I need an answer fast! help if you can!
Hi there! :)
Answer:
[tex]\huge\boxed{(-1, -10.5)}[/tex]
Use the midpoint formula to solve for the midpoint:
[tex](x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points:
[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]
Simplify:
[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]
[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]
The internal dimension of a lidless wooden box is 48cm × 38cm × 32cm. If the thickness of the tank is 1 cm, find the volume of the wooden box
Step-by-step explanation:
this is confusing.
first the description says "the internal dimensions".
and then it tells us the thickness of the tank walls (1cm).
so, I am not sure what the given numbers describe.
in any case, the volume is length × width × height.
so, either
48×38×32
or
46×36×31 (as for length and width we need to consider 2 walls, one on each end, for the height only one wall, as the tank is open and lidless.
whatever you choose, make sure to mark the result as cm³.
Can someone plz help me ASAP!!!!!!!!
Answer:
A) The number halfway between -2 and 6 is 2.
B) -10 is halfway between -18 and 8
Determine the vertex of the function f(x) = 3(x - 2)^2 + 1.
(2, 1)
(-2, 1)
(1,2)
(1,-2)
Answer:
The vertex is at (2,1)
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h)^2 +k where (h,k) is the vertex
f(x) = 3(x - 2)^2 + 1.
The vertex is at (2,1)
Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.
Answer:
25 + 10h = 50+5h
Step-by-step explanation:
Black Diamond Ski Resort
25 + 10h
Bunny Hill Ski Resort
50+5h
We want when they are equal
25 + 10h = 50+5h
Answer:
10x + 25 = 5x + 50
Step-by-step explanation:
trigonometry help help help help
Answer:
Sorry if you don't understand my HANDWRITING
Answer:
Step-by-step explanation:
Sin ∅ = [tex]\frac{opposite \ side }{hypotenuse}=\frac{7}{25}\\\\[/tex]
Cos ∅ = [tex]\frac{adjacent side}{hypotenuse}=\frac{24}{25}[/tex]
Tan ∅ = [tex]\frac{opposite \ side}{hypotenuse}=\frac{7}{24}[/tex]
Can someone help me on this math question its confusing ill give brainly when right!!!
sandra is playing a trivia game.on her first turn she lost 75 points. on her second turn,she lost 35 points. on her third turn,she scored 100 points. What is sandras score after three turns?
Answer: -10 points
Step-by-step explanation:
She lost 110,so that loss -the gain(100) is the total score at the end of three games
Nicholas wants to order a pizza. He has a total of $13 to pay the delivery person. This pizza cost $7.50 Plus $1.25 per topic. If he plans to tip 15% of the total cost of the pizza, how many toppings can he order
Answer:
Nicholas can order up to 3 toppings.
Step-by-step explanation:
Solve for the tip:
15% of the total cost = 15% × $7.50
Convert percentage into a decimal:
0.15 × 7.50 = 1.125
Variable x = number of toppings
Set up an equation:
7.50 + 1.125 + 1.25x = 13
Combine like terms:
8.625 + 1.25x = 13
1.25x = 4.375
x = 3.5
Since it is impossible to order "half" of a topping (0.5), Nicholas can only order up to 3 toppings.
What value of n makes the equation true 2/3 n= -12
Answer:
The answer is - 18
Step-by-step explanation:
[tex] \frac{2}{3} n = - 12[/tex]
To solve the equation multiply both sides of the equation by 3
That's
[tex]3 \times \frac{2}{3} n = - 12 \times 3[/tex]Simplify
[tex]2n = - 36[/tex]Divide both sides of the equation by 2
[tex] \frac{2n}{2} = \frac{ - 36}{2} [/tex]We have the final answer as
n = - 18The value of n that makes the equation true is - 18
Hope this helps you
Plz help me out asap
Answer: c. always
Step-by-step explanation:edmentum
Sailor Shettal
The Midpoint Formula
Aug 04, 1:31:11 PM
?
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
+-
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answer:
(8,7)
Step-by-step explanation:
To find the x coordinate of the midpoint
Add the x coordinates of the endpoints and divide by 2
(10+6)/2 = 16/2 = 8
To find the y coordinate of the midpoint
Add the y coordinates of the endpoints and divide by 2
(5+9)/2 = 14/2 = 7
The coordinate of the midpoint is (8,7)
Please please please help!!!!
Answer:
only -3,5 is the answer.
PLS HELP- please look at the picture below
9514 1404 393
Answer:
1/3
Step-by-step explanation:
To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.
Then f(2) = 1/x = 1/3.
A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far from the endpoint should the apprentice cut the pipe?
Answer:
18 inches
Step-by-step explanation:
To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches
Find the value of x.
Answer:
Step-by-step explanation:
Bonsoir,
63°
The value of external angle x intercepted by two tangents is 63°
We have,
From the given figure,
External angle = x
From the definition of external angle intercepted by two tangents.
External angle = 1/2 x difference of the intercepted arc length
Now,
Difference of the arc length.
= 243 - (360 - 243)
= 243 - 117
= 126
Now,
Substituting the values.
External angle = 1/2 x difference of the intercepted arc length
= 1/2 x 126
= 63
Thus,
The value of external angle x is 63°
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Please, i need answer fast :< no steps, ILL GIVE BRAINLIEST TOO :)
Answer:
[tex]\huge\boxed{Area = 24\ square\ units}[/tex]
Step-by-step explanation:
Area of parallelogram = Base * Height
Where Base = 6 , Height = 6
Area = 6 * 4
Area = 24 square units
Answer:
24 square units
Step-by-step explanation:
the area formula is A=bh
b=6
h=4
A=4*6
A=24
A retailer allowed 4%. discount on her his
goods to make 20 %profit and sold a refrigerator
for Rs.10848 with 13%. VAT . By how much
is the discount percent to be increased so that
she lhe gained only 15 % profit ?
Answer:
8%
Step-by-step explanation:
Let the cost price of the goods be $y. Let us assume the selling price of the goods is $x. The retailer sold at 4% discount, this means it was sold for 0.96x (100% - 4% = 96%). Since the goods was sold to make 20% profit, therefore it was sold for 1.2y (100% + 20% = 120%).
The refrigerator was sold at 13% VAT at Rs. 10848:
1.2y + 13%(1.2y) = 10848
1.2y + 0.13(1.2y) = 10848
1.2y + 0.156y = 10848
1.356y = 10848
y = 8000
The cost price is Rs 8000.
The selling price is:
0.96x = 1.2y
0.96x = 1.2(8000)
x = 10000
The selling price is Rs. 10000
For a profit of 15%, that is 1.15(8000) = 9200, the discount is:
(1 - discount)10000 = 9200
1 - discount = 0.92
Discount = 1 - 0.92 = 0.08
Discount = 8%
what is 45/99 simply
Answer:
5/11
Step-by-step explanation:
divide numerator and denominator by 9
5/11
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
5/11
Step-by-step explanation:
45/99
Divide the top and bottom by 9
45/9 = 5
99/9 = 11
5/11
Solve for x 3x - 4 = 2x - 10
Answer:
-6
Step-by-step explanation:
To solve this problem, you should move all of the variables onto one side, and all of the constants onto the other side as such:
3x-4=2x-10
+10 +10
3x+6=2x
-3x -3x
6=-x
/-1 /-1
x=-6
Hope this helps!
P.S. Please give me brainliest. Thanks :)
Answer:
[tex]x = -6[/tex]
Step-by-step explanation:
Looking at the expression [tex]3x - 4 = 2x - 10[/tex], our goal is to get rid of the x term on one side.
To do this, we can subtract 2x from both sides which gets us
[tex]x - 4 = -10[/tex]
Add 4 to both sides:
[tex]x = -6[/tex]
Hope this helped!
The chemical element, silver, boils at a temperature of degrees Fahrenheit. What is the boiling point for silver in degrees Celsius? Round you answer to one decimal place.
Answer:
[tex]C=(x-32)\times\frac{5}{9}[/tex]
Step-by-step explanation:
The formula to convert the temperature in Fahrenheit to degrees Celsius is:
[tex]C=(F-32)\times\frac{5}{9}[/tex]
Here,
C = temperature in degrees Celsius
F = temperature in Fahrenheit
Suppose the boiling point for silver is x Fahrenheit, then then the temperature in degrees Celsius will be:
[tex]C=(x-32)\times\frac{5}{9}[/tex]
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.) x > 0 and y < 0 Quadrant I Quadrant II Quadrant III Quadrant IV none of these
Answer:
Quadrant IV
Step-by-step explanation:
If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:
x is greater than 0, so all possible values are positive
y is less than 0, so all possible values are negative
(x,-y)
Following are the description of the wrong choice:
In the first Quadrant, (x,y) both -axis values are positive that's why it is wrong.In the second Quadrant, the x-axis has a negative value and the y-axis has a positive value that's why it's wrong.In the third Quadrant, (x,y) both -axis has the negative value that's why it is wrong.That's why the "Quadrant IV" is the correct answer.
Learn more:
quadrant: brainly.com/question/7196054In March, Mateo ran 19 miles. In April, he ran twice as many miles as he ran in March. In May, he ran four times as many miles as he did in April. How many total miles did Mateo run in the three months? Enter your answer in the box.
Answer:
209
Step-by-step explanation:
march = 19 miles
april = 19 times 2 = 38
may = 38 times 4 = 152
so that'd be 19 + 38 + 152 = 209 miles in total.
209 miles Mateo ran in the three months.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
Mateo ran in March = 19 miles,
Also,
Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles
Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.
Total distance ran by Mateo in all three months
= ran in March + ran in April + ran in May
= 19 + 38 + 152
= 209 miles.
Mateo ran 209 miles in all three months.
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Combine like terms to create an equivalent expression. 3.4-2.8d+2.8d-1.3
Answer:
2.1Step-by-step explanation:
[tex]3.4-2.8d+2.8d-1.3\\\\\mathrm{Add\:similar\:elements:}\:-2.8d+2.8d=0\\\\=3.4-1.3\\\\\mathrm{Subtract\:the\:numbers:}\:3.4-1.3\\\\=2.1[/tex]
-8x - (3x + 6 ) = 4 - x
Answer:
-1
Step-by-step explanation:
Remember PEMDAS! Start with distributing the parentheses -(3x+6) so you get -8x-3x-6=4-x and simplify. Then you get -11x-6=4-x and combine like terms which equals -10=10x. Simplify and you get -1.
The solution to the equation -8x - (3x + 6) = 4 - x is x = -1.
What is the solution to the equation?Given the equation in the question:
-8x - (3x + 6 ) = 4 - x
To solve the equation -8x - (3x + 6) = 4 - x, simplify the equation by isolating all terms with variable x:
-8x - (3x + 6 ) = 4 - x
Distribute the negative sign inside the parentheses:
-8x - 3x - 6 = 4 - x
Combine like terms on both sides of the equation:
-11x - 6 = 4 - x
Add 6 to both sides:
-11x - 6 + 6 = 4 + 6 - x
-11x = 4 + 6 - x
-11x = 10 - x
Next, add x to both sides:
-11x + x = 10 - x + x
-10x = 10
Divide both sides of the equation by -10:
x = -10/10
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
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In the figure below, if x = 80° and z =
36°, find y.
Step-by-step explanation:
theanswer is 64 degrees
[tex]B=(\frac{-3}{16} x^{2} y) . (4x^{4}y^{3})[/tex]
Answer:
[tex]B=-\frac{3}{4}x^6y^4[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]B=(\frac{-3}{16}x^2y)(4x^4y^3)[/tex]
Multiply each term in one of the parenthesis by its like term in the other. Bear in mind, since all of the operations in this equation are multiplication, one doesn't have to multiply every single term by another in the parenthesis, one only has to multiply like terms to simplify.
[tex]B=(\frac{-3}{16}x^2y)(4x^4y^3)[/tex]
[tex]B=(\frac{-3}{16})(4)(x^2)(x^4)(y)(y^3)[/tex]
Simplify further, remember, when multiplying two terms with the same base, one can add their exponents to simplify,
[tex]B=(\frac{-3}{16})(4)(x^2)(x^4)(y)(y^3)[/tex]
[tex]B=(\frac{-3*4}{16})(x^2^+^4)(y^1^+^3)[/tex]
[tex]B=(\frac{-3*4}{16})(x^6)(y^4)[/tex]
Now simplify the fraction, remove like terms found in both the numerator and denominator. Remember, (4) is a factor of both (4) and (16):
[tex]B=(\frac{-3*4}{16})(x^6)(y^4)[/tex]
[tex]B=(-\frac{3}{4})(x^6)(y^4)[/tex]
[tex]B=-\frac{3}{4}x^6y^4[/tex]
1.a) express 64 in the form of 2^p
b)hence find the value of p when:
2^p= 1/64
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex]
64 = [tex]2^{6}[/tex] , then
[tex]2^{p}[/tex] = [tex]\frac{1}{64}[/tex] = [tex]\frac{1}{2^{6} }[/tex] = [tex]2^{-6}[/tex]
Since the bases on both sides are equal, both 2, then equate exponents
p = - 6