Answers
Answer:
2.5
Step-by-step explanation:
Divided them
Related Questions
A parent has washed some nappies in a strong bleach solution and wishes to rinse them so that they contain as weak a bleach solution as possible. By wringing out, the nappies can be made to contain just half a litre of solution. Show that two thorough rinses, such that the solution strength is uniform, the first using 12 litres of water and the second using 8 litres of water, reduces the strength of the
1 425
If 20 litres of clean water is all that is available and the parent is prepared to do only two rinses, how best should the water be divided between the two rinses?
Answers
Answer:
a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Step-by-step explanation:
The given parameters are;
The initial volume of strong bleach solution in the nappies = 1/2 Liters
The volume of water first used to rinse = 12 liters
The volume of water used in the second rinse = 8 liters
Therefore, we have;
The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters
The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L
The volume of the first rinse introduced in the second rinse = 1/2 Liters
The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L
The volume of water added in the second rinse = 8 liters
The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters
The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The the quantity of water in the first rinse = x
The amount of water in the second rinse = 20 - x
The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)
The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)
The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x
The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)
The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;
[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]
2·(x - 10) = 0
x = 0/2 + 10 = 10
x = 10
The the quantity of water in the first rinse = x = 10 liters
The the quantity of water in the first rinse = 10 liters
The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters
The amount of water in the second rinse = 10 liters
The water should be divided into two quantities of 10 liters each
Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.
Answer: a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answers
Answer:
e total surface area (TSA) of a cuboid is the sum of the areas of its 6 faces, which is ... 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm. ... Example 2: Find the surface area of a cuboid of dimensions 4.8 cm, 3.4 cm ... Example 4: The length, breadth and height of a cuboid are 16cm, 14cm and ...
Step-by-step explanation:
Where's the cuboid? You left it out.
In any case, use the following formula:
SA = 2(front + side + top)
Ann is having a birthday party at a pizza place. The restaurant charges $100
plus $12 per guest. The total cost of the party (y) can be represented by the
equation
y = 12x + 100. What does the slope represent?
Please help??????
Answers
Answer:
The slope represents how much it will cost per customer
Step-by-step explanation:
btw im not fully sure so correct me if im wrong plz
Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1
Answers
Answer: The points C(1,2) and E(2,2) make both inequalities true
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line
------> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution
Plot the points and verify if lie on the shaded area
Let
see the attached figure
The points C(1,2) and E(2,2) lie on the shaded area
The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A
The point D(2,-1) satisfy inequality A but don't satisfy inequality B
therefore
The points C(1,2) and E(2,2) make both inequalities true
Variable will the value of the function be equal to −6; −3; 0? Answer: If the value of the function is equal to −6, the value of the independent variable is equal to . If the value of the function is equal to −3, the value of the independent variable is equal to . If the value of the function is equal to 0, the value of the independent variable is equal to .
Answers
Complete Question:
A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?
Answer:
If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.
Step-by-step explanation:
Given:
[tex] y = 0.3x - 6 [/tex]
Required:
Find x, if y = -6; -3; and 0.
SOLUTION:
x = the independent variable
y = dependent variable
To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -6 = 0.3x - 6 [/tex]
[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 0 = 0.3x [/tex]
[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 0 = x [/tex]
[tex] x = 0 [/tex]
To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -3 = 0.3x - 6 [/tex]
[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 3 = 0.3x [/tex]
[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] 0 = 0.3x - 6 [/tex]
[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 6 = 0.3x [/tex]
[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 20 = x [/tex]
[tex] x = 20 [/tex]
PLS ANSWE PLS NEED HELP ASAP
Answers
Answer:
D. 75
Step-by-step explanation:
Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)
A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.
Answers
Answer: The initial value of the function is 625. This means that the first child costs $625 to send to camp.
Step-by-step explanation: I took the quiz
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK
Answers
Answer:
33 cups of sugar should be used
Step-by-step explanation:
subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used
42 cups of sugar should be used if 21 cups of flour are used
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar
We need to find cups of sugar should be used if 21 cups of flour are used
Let us consider x as cups of sugar should be used if 21 cups of flour are used
Let us form an equation to find x
12/24=21/x
Apply cross multiplication
12x=21×24
12x=504
Divide both sides by 12
x=504/12
x=42
Hence, 42 cups of sugar should be used if 21 cups of flour are used
To learn more on Ratios click:
https://brainly.com/question/13419413
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Is the statement true or false
Answers
Answer:
it is false
Step-by-step explanation:
-3 is lesser on the number line so remember "The Alligator" wants the higher number :)
-3(2t - 1) = t + t + t + 3
Answers
isolate the variable
Answer:
-3(2t - 1) = t + t + t + 3
-6t + 3 = 3t + 3
-6t -3t = 3t - 3t +3
-9t + 3 - 3 = 0
9t = 0
t = 0
Step-by-step explanation:
4.3602x10^4 estimate
Answers
Answer:34
4
Step-by-step explanation:
Answer:
43602
Step-by-step explanation:
hope this helps :)
m² - 9m +8
(Factoring)
show steps
Answers
Answer:
I really dont know sorry love <3
Step-by-step explanation:
Please solve that problem my homework is due ✨
Answers
Answer:
1,100 miles traveled in 2 hours, 3,300 miles in 6 hours
Step-by-step explanation:
if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)
if medain of 10, 20, x+5,x+10,50,60 is 35 then find x
Answers
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
Solve the following equation
5(3x+5)=3(5x+1)
Answers
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5(3x+5)=3(5x+1)
Step 1: Simplify both sides of the equation.
5(3x+5)=3(5x+1)
(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)
15x+25=15x+3
Step 2: Subtract 15x from both sides.
15x+25−15x=15x+3−15x
25=3
Step 3: Subtract 25 from both sides.
25−25=3−25
0=−22
Answer:
There are no solutions.
Which of the binomials below is a factor of this trinomial?
6x2- 5x-25
A. 2x-5
B. 6x-5
O C. 6x + 5
D. 2x + 5
Answers
Answer:
A. 2x-5
Step-by-step explanation:
(2x-5)(3x+5)
Hope this helps!
Answer:
A. 2x-5
Step-by-step explanation:
If angle P measures 60 degrees, what is the measure of angle C?
A)120
B)30
C)60
Answers
Answer:
Answer is 120
Step-by-step explanation:
What’s the volume of this shape?
Answers
Answer:
V=72x³y³
Step-by-step explanation:
The formula to apply is;
V= l * w * h where
V= volume in units cubed.
l= length = 3xy
w=width = 4xy
h= height = 6xy
Substitute values in the formula as;
V= l*w*h
V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}
V= 72*x³*y³
V= 72x³y³ --------where xy are the units used.
Dedra’s boat used 5 gallons of gasoline in 4 hours. At this rate, how many gallons of gasoline will the boat use in 10 hours?
Answers
Answer:
Step-by-step explanation:
4 times 2 1/2 equals 10
5 gallons times 2 1/2 equals 12.5
The boat will use 12.5 gallons in 10 hrs
Hope this helped!
The number of gallons of gasoline the boat uses in 10 hours will be 12.5 gallons.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Dedra’s boat used 5 gallons of gasoline in 4 hours.
Then the rate will be
Rate = 5 / 4
Rate = 1.25 gallons per hour
At this rate, then the number of gallons of gasoline the boat uses in 10 hours will be
⇒ 1.25 x 10
⇒ 12.5 gallons
The number of gallons of gasoline the boat uses in 10 hours will be 12.5 gallons.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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If x + 2y = 8, and x - y = 5, what is the value of x?
Answers
Answer:
x = 6
Step-by-step explanation:
Let's solve y for x + 2y = 8.
x + 2y = 8
2y = -x + 8
y = [tex]-\frac{1}{2}[/tex]x + 4.
Let's solve y for x - y = 5.
x - y = 5
y = x - 5
Since both equations have been solved for y, we can combine them together into one!
x - 5 = [tex]-\frac{1}{2}[/tex]x + 4
x [tex]+ \frac{1}{2}[/tex]x = 4 + 5
1.5x = 9
x = 6
Hope this helped! If not, please let me know!
Jeremy is saving up to buy a new video game system. Two weeks ago, Jeremy only had $14.75. He has worked for 26 hours at the local grocery store, where he earns $10.15 per hour. If the video game system costs $400.00, how many more hours must Jeremy work before he can purchase the system?
Answers
Answer:
12 more hours
Step-by-step explanation:
$400 is the cost (LESS) $14.75 that he has already
Total needed is now $385.25
He worked 26 hours at 10.15 = $263.90 that he already has
$385.25-$263.90 = $121.35
$121.35 Divided by his hourly wage of $10.15 = 11.95 (or 12 hours)
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answers
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
what is binomil (2a–1)(a–3)
Answers
Answer:
[tex]2a^2-5a+3[/tex]
Step-by-step explanation:
2a(a-3)-1(a-3)=
2a^2-6a-a+3=
2a^2-5a+3
Answer:
Step-by-step explanation:
3x² + 22x + 35
Factor the trinomial
Help guys asp!!
Answers
Answer:
(x + 5)(3x + 7)
Step-by-step explanation:
Given
3x² + 22x + 35
Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term
product = 3 × 35 = 105 and sum = 22
The factors are + 15 and + 7
Use these factors to split the x- term
= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )
= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x + 7) ← in factored form
Help me please...............
Answers
Answer:
Search it up
Step-by-step explanation:
GO ON GOOGLE sorry i couldnt help :(
Dylan is planting flower boxes to decorate the school entrance. He has 64 marigolds and 72 periwinkles. Each flower box must contain both flowers. He puts the same number of marigolds in each flower box, and the same number of periwinkles in each flower box. What is the maximum number of flower boxes Dylan can plant and how many marigolds and periwinkles will each flower box have?
Answers
Answer:
Dylan can plant maximum 8 plants.
Number of marigolds in each flower box [tex]=8[/tex]
Number of periwinkles in each flower box [tex]=9[/tex]
Step-by-step explanation:
Number of marigolds = 64
Number of periwinkles = 72
To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.
[tex]64=2^6\\72=2^3\,\,3^2[/tex]
So,
H.C.F(64, 72) = [tex]2^3=8[/tex]
That is Dylan can plant maximum 8 plants.
Number of marigolds in each flower box = [tex]\frac{64}{8}=8[/tex]
Number of periwinkles in each flower box = [tex]\frac{72}{8}=9[/tex]
Hello, I need help on this :)
Enter a number/answer
What is the measurement of b?
Answers
a squared + b squared = c squared
Fill in the blanks so
20 squared + b squared= 29 squared
then you subtract 29 squared from 20 squared to get an answer and then you square root that to get 21
Answer:
21
Step-by-step explanation:
The rule for a right triangle is (x^2)x(y^2)=(z^2)
so 20 squared is 400 and 29 squared is 841.
And since the side with the length 29 is the hypotenuse.
It is 400 + [tex]\sqrt{x}[/tex] = 841
841-400=441
the square root of 441 is 21
Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answers
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
HELP ASAP!! pleaseeeee
Answers
i mark as brainliest
Answers
Answer:
-6.75
Step-by-step explanation:
Answer:
The answer is D. -7.25