Answer:
x = -5/2 or -2.5
Step-by-step explanation:
Answer:
x=2.5
Step-by-step explanation:
2(x-3)=4x-1
2x-6=4x-1
2x-5=4x
2x=5
x=2.5
A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
Answer:
The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters
The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters
The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters
Step-by-step explanation:
The percentage of acid in the first acid solution = 20%
The percentage of acid in the second acid solution = 40%
The percentage of acid in the third acid solution = 70%
The volume they want to use the three solutions to obtain a mixture of = 56 liters
The concentration of the mixture they want to obtain = 50%
The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included
Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture
Therefore, from the question parameters, we get;
x + y + z = 56...(1)
z = 2·y...(2)
0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)
Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;
10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280
2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168
2·y + 5·z = 168
From equation (2) and (4), we get;
2·y + 5·z = 2·y + 5×(2·y) = 168
12·y = 168
y = 168/12 = 14
The volume of the second acid solution in the mixture, y = 14 liters
From equation (2), we have;
z = 2·y
∴ z = 2 × 14 = 28
The volume of the third acid solution in the mixture, z = 28 liters
From equation (1), we get;
x + y + z = 56
x = 56 - (y + z)
∴ x = 56 - (14 + 28) = 14
The volume of the first acid solution in the mixture, x = 14 liters.
Please answer this fill it to least to greatest
Answer:
7, 7 1/8, 7 3/8, 7 5/8, 7 3/4, 8, 8 1/4, 8 1/2, 8 7/8
Step-by-step explain:
7 is the smallest number in the given numbers. 7 1/8 is the second smallest because 1/8 is smaller than 1/4. You can also think of it like you have a pizza/pie/cake and 1/8 of that cake is 1 piece of the cake that has 8 pieces in total. 1/4 on the other hand is a bigger piece. You can use this information to figure out future problems. 1/4 is the same as 2/8. In other words, 1/4 is equal to 2 slices of pie/cake/pizza/whatever you want it to be because if you take a cake, cut it into 4 pieces, then cut the 4 pieces in half. You will get 8 pieces.
what is 8,419 divided by 3
Answer:
2806.33333333
Step-by-step explanation:
Answer: 2806.3333333 (the 3 is repeating)
Step-by-step explanation:
Can someone please help me on this
Answer:
9
Step-by-step explanation:
Which choice is equivalent to the product below?
√3x√5x√6
O A. 3√10
O B. 9√10
O C. 3√5
O D. 10√3
Answer:
D....................
Find the y-coordinate and the gradient at the points on the following curve corresponding to the given value of x:
1) 3x^2-2x^3, x = -2
Which function's graph is shown below?
O A. y=-sin x
O B. y= -c0s X
O C. y = cos x
O D. y = sin x
Answer:
The function's graph shown is C. y = cos x
Step-by-step explanation:
hope it helps...
have a great day!!
A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.
Answer:
42 acres, 14 acres, 28 acres
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?
Answer:
Radius of the sphere = r
Volume of sphere:
V₁ = 4/3×πr³Radius of the hemisphere = 2r
Volume of the hemisphere:
V₂ = 1/2×4/3×π(2r)³ = 1/2×8×4/3πr³ = 4V₁The volume of the hemisphere is 4 times greater than the volume of the sphere
6. Which equation expresses the relationship between x and y, as shown in the accompanying table?
Answer:
Husband and Ok kl long paragraph is 22nd up fpr and family at home too young for me as a nd ur behaving this way if this how u is is
Pls help me I’m stuck rn in
Answer:
Rhombus
Step-by-step explanation:
A rhombus is basically just stretched out
Answer:
square or rhombus
Step-by-step explanation:
one of the two
Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0, then + 1 = 1
2 ÷ 2 = 1, then + 1 = 2
-8 ÷ 2 = -4, then + 1 = -3
100 ÷ 2 = 50, then + 1 = 51
3 + 2a - 7x + 2.5 + 5x
help pls and thank u
Answer:
2 a − 2 x + 5.5
Step-by-step explanation:
Answer:
5.5+2a_2x
Step-by-step explanation:
we add the numbers 3+2.5
How many 3 digit numerical passwords are there if a digit can be repeated?
Any math experts can help please and thank you
Answer:
QUESTION:
How many 3 digit numerical passwords are there if a digit can be repeated?
ANSWER:
The first digit of the password can be any of the ten digits - 10 possibilities.
A digit cannot be repeated, so the second digit can be any digit except the one you chose for the first digit - 9 possibilities.
The third digit can be any digit except the digits you chose for the first and second digit - 8 possibilities.
Using the rule of product:
10 X 9 X 8 = 720
There are 720 passwords.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Answer:
1000?
Step-by-step explanation:
Brainly Reward (mathematics)
Answer:
1: 45
2: 32
3: 35
4: 32
Step-by-step explanation:
when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.
so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.
so use the formula sometimes too if it is easier.
Answer:
1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32
Step-by-step explanation:
3. The function f(x) = -3.5x + 45;
0
rectangle in terms of its width,
x. Find the area of the rectangle
when its width is 9.5 units.
You have the letters in the word "SCIENTIST." What is the probability that you pick a vowel,do not replace it,and then pick "T"?
Answer:
1/12
Step-by-step explanation:
Total choices = 9, vowels = I, E, I = 3
Hence, P (vowel) = 3/9 = 1/3
Since you do not replace it, new total = 8 and number of Ts = 2
Hence, P (T) = 2/8 = 1/4
As these events are dependent and T is picked after vowel,
total probability = 1/3 x 1/4 = 1/12
please help me with this! ( links = report )
Answer: 7 mi
r = √153.9/pi
r = √49.01
r = 7
if you start at 89 degrees and it decreases 5% each hour what would it be at in 3 hours
Answer:
A = 76.3 degrees after 3 hours
Step-by-step explanation:
An exponential function is needed here:
A = P(1 - 0.05)^3, where this (1 - 0.95) reflects a DECREASE of 5%/hour.
Then: A = (89 degrees)(0.95)^3, or
A = 76.3 degrees after 3 hours
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
Convert to a mixed number and simplify: 83/6
6
83
Answer:
13 5/6
Step-by-step explanation:
83/6 = ?
6 can go into 83, only 13 times. Which would make 83/6 turn into:
13 5/6
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
PLEASEEEEE HELP ME......
Answer:
B makes the most sense.
Step-by-step explanation:
The others make little to no sense.
Answer:
B is the correct answer. it makes sense
help pls !
i’ll mark brainliest to whoever answers it right first.
thanks !
(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)
Answer:
option (1)
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 4
Step-by-step explanation:
Using the sine or cosine ratio.
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 4
Which inequalities are true? Select the four correct answers.
Much thanks to whoever helps!!
PLSS HELP MEEE IVE BEEN TRYING ALL DAY TO GET THIS ANSWER AND NOTHING PLEASE SOMEONE HELP ME NO LINKSS!! Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark for the fraction bar
(-8,-7) (-7,-8)
Answer:
midpoint is (-15/2, -15/2)
Step-by-step explanation:
Finding the coordinates of the midpoint is easy. All you have to do is find the average of the x-coordinates and the average of the y-coordinates of the endpoints of the segment.
So, in your case
(-8 - 7)/2 = -15/2 is the x-coordinate
(-7 - 8)/2 = -15/2 is the y-coordinate
Therefore, the midpoint is (-15/2, -15/2)
Answer:
(-7.5, -7.5)
Step-by-step explanation:
Remember that the formula is (x1+x2/2, y1+y2/2)
So, we know that -8 is x1 and -7 is y1. We also know that -7 is x2 and -8 is y2.
Lets plug this into our formula and see what we get.
(-8+-7/2, -7+-8/2)
Now lets find the x in the midpoint.
-8+-7/2 is equal to -15/2. This makes x equal to -7.5.
Now lets find the y in the midpoint.
-7+-8/2 is equal to -15/2 as well. This makes y equal to -7.5.
Now we can tell that the coordinates for midpoint will be:
(-7.5, -7.5)
MISCONCEPTIONS:
Always remember that midpoint is nothing like slope. The mid point is something you can point on a graph, wheareas slope is a function that can be lined on a graph.
The formulas for the two things are different as well. Slope is y/x, where you subtract the ys and xs from each other. In a way, midpoint is the exact opposite, which is adding the xs and ys together.
I hope this helps ;)
Good luck!
please help me it due soon
Answer:
Tyler is correct
Step-by-step explanation:
ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A
Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.
Answer:
28 books and 14 months
Step-by-step explanation:
Because 28 is greater then 14 by 14 not 7