The chemist should use 86.13 liters of the 15% solution,
47.29 liters of the 35% solution,
94.58 liters of the 65% solution to obtain a mixture of 228 liters containing 25% acid, using 2 times as much of the 65% solution as the 35% solution.
How to solve Percentage problems?To solve this problem, we need to find how many liters of each solution should be used to obtain a mixture of 228 liters containing 25% acid, using 2 times as much of the 65% solution as the 35% solution. Here's how we can approach the problem:
Let's assume that we need to use x liters of the 15% solution, y liters of the 35% solution, and z liters of the 65% solution.
From the problem statement, we know that:
x + y + z = 228 (since we need a total of 228 liters of the mixture)
z = 2y (since we need to use 2 times as much of the 65% solution as the 35% solution)
0.15x + 0.35y + 0.65z = 0.25(228) (since we need the final mixture to contain 25% acid)
We can use these equations to solve for x, y, and z. Here's how:
Substitute z = 2y into the first equation to get x + y + 2y = 228, which simplifies to x + 3y = 228.
Rearrange this equation to get x = 228 - 3y.
Substitute z = 2y into the second equation to get 0.15x + 0.35y + 0.65(2y) = 0.25(228), which simplifies to 0.15x + 1.15y = 74.4.
Substitute x = 228 - 3y into this equation to get 0.15(228 - 3y) + 1.15y = 74.4, which simplifies to 34.2 - 0.3y = 74.4 - 1.15y.
Rearrange this equation to get 0.85y = 40.2, which simplifies to y = 47.29.
Substitute y = 47.29 into z = 2y to get z = 94.58.
Substitute y = 47.29 and z = 94.58 into x + 3y = 228 to get x = 86.13.
Therefore, the chemist should use 86.13 liters of the 15% solution, 47.29 liters of the 35% solution, and 94.58 liters of the 65% solution to obtain a mixture of 228 liters containing 25% acid, using 2 times as much of the 65% solution as the 35% solution.
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Pleaseeee helpppp...
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
1.[tex]\overline{ZW}\ ||\ \overline{YX}[/tex]
2.[tex]\overline{ZW} \cong \overline{YX}[/tex]
To Prove:
Δ XYZ ≅ Δ ZWX
Proof:
[tex]\overline{ZW}\ ||\ \overline{YX}[/tex].........{given}
∴ ∠ WZX ≅ ∠YXZ ...{if lines are parallel then alternate angles are equal}..( 1 )
Now, In Δ XYZ and Δ ZWX
XY ≅ ZW ……….{Given}
∠ YXZ ≅ ∠ WZX ..……..{ Alternate Angles Property or From ( 1 )}
XZ ≅ ZX ……….{Reflexive Property}
∴ Δ XYZ ≅ Δ ZWX ….......{By Side-Angle-Side test}
..Proved
Please help
AB=AD and BC=DC
Answer:
The value of x in the given figure is 110°
Step-by-step explanation:
Here, In ΔABD,
AB=AD and ∠ ABD = 35°
Now, ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL.
As, AB=AD
⇒ ∠ ABD = ∠ ADB = 35°
Now, In ΔABD, by ANGLE SUM PROPERTY:
∠ ABD + ∠ ADB + ∠ DAB = 180°
⇒ 35° + 35° + x = 180°
or, x = 180° - 70° = 110°
⇒ x = 110°
Hence, the value of x = 110°
Answer:
110
Step-by-step explanation:
Since AB=AD, AB = 35 so that means AD = 35. 35+35=70. A triangle is 180, so 180-70=110
triple 9, then multiply 7 by the result in an EXPREESION.
Answer:
27 x 7=X
Step-by-step explanation:
Answer:
Step-by-step explanation:
7+7+7=21*7=147
VIIVIS. JUIVC CUCI PIUUICHT giver le normation.
12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and JL = 8x + 35, find
x and the measure of each side.
Answer:
The value of x = 6.
The measure of side J K = K L = J L = 83 units
Step-by-step explanation:
Here, Δ JKL is an Equilateral Triangle.
So, all sides of the triangle are equal to each other.
⇒ J K = K L = L J
Substituting the values of each side , we get:
13 x + 5 = 17 x - 19 = 8 x + 35
Now, comparing first and second term of the above expression,we get:
13 x + 5 = 17 x - 19
⇒ 5 + 19 = 17 x- 13 x
or, 24 = 4 x
⇒ x = 24/4 = 6 , or x = 6
So, the measure of side J K = 13x + 5 = 13(6) + 5 = 83 units
the measure of side K L = 17x -19 = 17(6) -19 = 83 units
the measure of side J L = 8x +35 = 8(6) +35 = 83 units
What is the slope intercept for 7x + 8y = -48
The slope-intercept form for given equation is:
[tex]y = -\frac{7}{8}x-6[/tex]
Step-by-step explanation:
Given equation is:
[tex]7x+8y = -48[/tex]
The given equation is in standard form. The slope-intercept form is:
[tex]y =mx+b[/tex]
Ao, to convert the given equation to slope-intercept form
Subtracting 7x from both sides
[tex]7x-7x+8y = -7x-48\\8y = -7x-48[/tex]
Dividing both sides by 8
[tex]\frac{8y}{8} = \frac{-7x-48}{8}\\y=-\frac{7}{8}x-\frac{48}{8}\\y = -\frac{7}{8}x-6[/tex]
The slope-intercept form for given equation is:
[tex]y = -\frac{7}{8}x-6[/tex]
Keywords: slope-intercept form, Standard form of equation
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(2x^3-4x^2-3x-9) ÷ x-3
Answer:
2x squared + 2x + 3
Step-by-step explanation:
you can either use synthetic division or use long division. either way will work. search up synthetic and long division on y___ube and you should get it
I completed 2/3 of my project last month and 1/4 of it this week what fraction is completed
Answer: [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
Since we are looking for the total fraction completed , all we need do is to add the fraction completed last month and the fraction completed this week , that is
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex]
The L.C.M is 12 , so we have
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] =[tex]\frac{8 +3}{12}[/tex]
= [tex]\frac{11}{12}[/tex]
Therefore 11/12 is completed
Answer:
You completed 11/12 of your project.
Step-by-step explanation:
Change into a common denominator: 2/3 = 8/12 and 1/4 = 3/12
8/12 + 3/12 = 11/12
Casey has at most $50 to spend on pants. She wants but 3 identical pairs of pants and has a $10 off coupon. Which inequality models all possible prices,p, in dollars, for a pair of pants that casey can afford?
The inequality that models all possible prices,p, in dollars, for a pair of pants that casey can afford is P ≤ 20
Solution:Given that, Casey has at most $50 to spend on pants.
She wants but 3 identical pairs of pants and has a $10 off coupon.
We have to find which inequality models all possible prices,p, in dollars, for a pair of pants that casey can afford
"p" represents the price in dollars for a pair of pants that casey can afford
Now, we know that,
Money spent casey ≤ $ 50
Cost of 3 identical pairs of pants – coupon worth ≤ 50
3 x cost of 1 pair of pant – 10 ≤ 50
3 x cost of 1 pair of pant ≤ 50 + 10
3 x cost of 1 pair of pant ≤ 60
Cost of 1 pair of pant ≤ 60/3
$ P ≤ 20
P ≤ 20
Hence, the inequality is P ≤ 20
Using scientific notation, what is the solution to (5.65 * 105) + (4.87 * 103)?
Use mental math. A resort has 380 rooms with space for 6 people. Estimate the greatest number of people who could be in these rooms at the same time. Explain your thinking to a friend or family member. (Don’t do the last part. That was just in the instructions T-T)
Answer:
6 people
Step-by-step explanation:
Since the resort has 380 rooms with space for 6 people, only 6 people can be in these rooms at the same time.
Note: It was not said that each room has space for 6 people but the hotel has space for 6 people
Irrespective of the number of rooms available, the space limit is 6, hence not more than 6 people can be accommodated.
How to draw two lines with slope 3/4
Just make sure that the line goes 4 unit to the right as it goes 3 units up.
If you have a grid you need to fill in you can plot these points, and pass through them with a line.
y=3/4x: (0,0) and (4,3)
y=3/4x+1: (0,1) and (4,4)
2y+3y-6(y+2)=-y+6 solve for y
Answer:
No solution.
Step-by-step explanation:
Add similar elements: 2y + 3y = 5y
5y - 6 (y + 2) = -y + 6
Apply the distributive Law:
6y - 6 x 2 = 6y - 12
5y - 6y - 12 = -y + 6
Add similar elements: 5y - 6y = -y
-y - 12 = -y + 6
Add 12 to both sides:
-y - 12 + 12 = -y + 6 + 12
Simplify:
-y = -y + 18
Add y to both side:
-y + y = -y + 18 + y
Simplify:
0 = 18
No Solution
Hope this helps
What 5 fractions are between -8/10 and -4/5
Final answer:
The student's request for fractions between -8/10 and -4/5 cannot be fulfilled because these two fractions are equivalent. To provide a meaningful answer, it's assumed that the intended question is to find fractions between -8/10 and -9/10, for which examples are given.
Explanation:
The question is asking for five fractions that are between -8/10 and -4/5. First, notice that -8/10 is equivalent to -4/5, so we actually need to find fractions between two identical values. This is not possible as no fractions can exist between two identical numbers. However, assuming that the question intends for incremental fractions between two different numerators with the same denominator, we could consider finding fractions between -8/10 and -9/10, or between -7/10 and -8/10.
For simplicity, let's find five fractions between -8/10 and -9/10:
-17/20
-18/20
-19/20
-39/40
-79/80
These fractions are chosen because they simplify to values that lie between -8/10 and -9/10 when reduced to the same denominator.
Select the correct expressions and value.
Identify the expressions and the value equivalent to 4 times 3 cubed.
3x3°) 4 x 3" 108 243
4x3*3*3] 3x4x4x4 4+3+3+3]
Answer:
Step-by-step explanation:
4*3^3=4*3*3*3=4*9*3=4*27=108
please solve with working much appreciated!
Answer:
Step-by-step explanation:
First you need to find the are between everything
So SA= 1/2 length time width.
I am also pretty sure then you find the circumference and diameter of a circle.
The answer is 153 degrees
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D.
Step-by-step explanation:
Cheryl is organizing her movie collection. If each movie case is
7 inch wide, how many movies can fit on a shelf 5 feet wide?
Answer:
The number of movies that can can fit on shelf of 5 feet is 9 .
Step-by-step explanation:
Given as :
The measure of each movies case = 7 inches wide
Let the number of movies for 5 feet wide = n
Now ,
∵ 1 feet = 12 inches
∴ 5 feet = 12 × 5 = 60 inches
I.e 5 feet = 60 inches
Now, Again
For 7 inches wide , the number of movies = 1
So, for 1 inch wide case, the number of movies = [tex]\frac{1}{7}[/tex]
∴ For 60 inches wide case, the number of movies = [tex]\frac{1}{7}[/tex] × 60
I.e For 60 inches wide case, the number of movies = 8.57 ≈ 9
Hence the number of movies that can can fit on shelf of 5 feet is 9 . Answer
3x + 2y = 12
2x + 5y = 8
process of elimination? how do I get the answer for this kind of question?
Answer:
(4, 0)
Step-by-step explanation:
To use elimination, you need to make the coefficients of one of the variables the same in each equation. For example, we can multiply the first equation by 2 and the second equation by 3:
6x + 4y = 24
6x + 15y = 24
Now we can subtract the equations, eliminating the x terms.
(6x + 15y) − (6x + 4y) = 24 − 24
11y = 0
y = 0
Now plug into either equation to find x.
3x + 2y = 12
3x + 0 = 12
x = 4
F(x) = -3x +20; f(8)
Answer:
f(8)=-4
Step-by-step explanation:
f(x)=-3x+20
f(8)=-3(8)+20
f(8)=-24+20
f(8)=-4
How do you use descriptive property to solve 48÷3
Answer:
16
Step-by-step explanation:
48/3=16
Jamie buys 3 snacks and 2 bottles of juice.
Each snack costs $0.75, and each bottle of juice costs j dollars.
The total cost of the snacks and bottles of juice is $6.75.
Which of the following equations could be used to find the cost of a bottle of juice, in dollars?
(A) 0.75 + 2= 6.75
B 2.25 +2j = 6.75
c (3 (0.75 + 2) = 6.75
D) 5 (0.75 +j) = 6.75
Answer:
B is the only possible answer
Step-by-step explanation:
A - 0.75+2 doesn't equal 6.75
C - 3*2.75 = 8.75 not 6.75
D - there is two juice bottles not one so it should be 2j not just j
And thank you
The tortoise and the Hare are running their final
race of the season, The Tortoise is running at a
pace of 1 mile every 4 hours and has currently
ran 15 miles. The Hare is running at a pace of 2
miles every hour and currently has ran 1 mile.
Answer:
the hare will be at a pace of 1 mile
Step-by-step explanation:
so that means every 1/2 of a hour
Answer:
ya what they said on top of me
Step-by-step explanation:
noooooooooooooooooooooooooo
AMUNG US IN RL
At the battle of bunker hill approximately 2400 colonial army troops clashed with 3000 British army troops what is the ratio of the number of British army troops to the number of colonial army troops ?
Answer:3000:2400
Step-by-step explanation:
The ratio of British army troops to colonial army troops at the Battle of Bunker Hill is 3,000:2,400, which simplifies to 5:4.
The ratio of the number of British army troops to the number of colonial army troops at the Battle of Bunker Hill is calculated by dividing the number of British troops by the number of colonial troops. With 3,000 British troops and 2,400 colonial troops, the ratio is 3,000:2,400.
To simplify the ratio, you could divide both sides by the greatest common divisor. In this case, both numbers can be divided by 1,200 (which is the greatest common divisor of 3,000 and 2,400) to give a simplified ratio.
After dividing both numbers by 1,200, the simplified ratio of British to colonial troops is 2.5:2 or, expressed as a fraction, 2.5/2, which simplifies further to 5:4.
Enter the indicated element.
[tex]a_{1,3} = 9[/tex]
Step-by-step explanation:
The elements of matrices are represented in the form
[tex]a_{r,c}[/tex]
Here r is the row number and c is the column number.
Given matrix is:
[tex]A = \left[\begin{array}{ccc}3&6&9\\2&4&8\end{array}\right][/tex]
The elements of matrix will be represented by a_{r,c}
We have to find [tex]a_{1,3}[/tex]
Which means that the first row and third column.
The first row is: 3 6 9 and the element in third column is: 9
So,
[tex]a_{1,3} = 9[/tex]
Keywords: Matrices, Elements
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During the first half of a college basketball game, 24,196 people entered the athletic center. During the second half, 2,914 people left and 4,819 people entered. How many people were in the athletic center at the end of the game?
There were 26,101 people in the athletic center at the end of game.
Step-by-step explanation:
Number of people entered = 24196
Number of people left during second half = 2914
Remaining people = 24196 - 2914 = 21282
People entered during second half = 4819
Total people at the end of game = Remaining people + People entered during second half
Total people at the end of game = [tex]21282+4819=26101[/tex]
There were 26,101 people in the athletic center at the end of game.
Keywords: subtraction
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Write the equations in Word form:
(2x8) - (3x3)
Answer:
Three multiplied by three in parentheses subtracted from two multiplied by eight in parentheses.
Answer:
the product of two and eight minus the product of three and three
Step-by-step explanation:
You have 6 donuts and you want to give 2/3 of them to a friend and keep 1/3 for yourself. How much of the whole pan of brownies did John eat.
Answer:
None
Step-by-step explanation:
DONUTS CANNOT BECOME BROWNIES
Answer:
John ate 2 donuts for himself and gave 4 donuts to friend.
Step-by-step explanation:
(2/3)*6=4
6-4=2
You begin with $90 in your savings account and your friend begins
with $35 in her savings account. You deposit $10 in savings each
week, and your friend deposits $15 in savings each week.
Answer:
Your friend is wrong.
Step-by-step explanation:
Your total money: y= 10x+9
Friend's total money: y=15x+35
10x+9=15x+35 --> x=weeks=10
190=185
COEFFICIENT for 4x + 6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Solve.
5. During the summer, Jayden
volunteers at the library for 20 hours
each week for 7 weeks. How many
hours does Jayden volunteer in all?
Answer:
140 hours
Step-by-step explanation:
Because you do 20 hours times 7 weeks because it says in all so you do 20 times 7 which equals 140 hours