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.
Consider this right triangle with given measures.
What is the length of the missing leg?
Answer:
The answer is 6 feet.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Observa las siguientes imágenes formadas por círculos:
Figura 1 (un circulo) Figura 2 (5 círculos)
-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?
Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.
¿Como encontrar el patrón?
Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.
En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:
[tex]C_N = 1 + (N - 1)*4[/tex]
Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.
[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]
¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?
Para ver esto calculamos:
[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]
Es decir, la image 12 tiene 20 circulos más que la imagen 7.
Sí quieres aprender más sobre secuencias, puedes leer:
https://brainly.com/question/7882626
A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current is 5 mph from north to south. To the nearest foot, how far downstream on the east bank will she land?
Answer:
S, and the other day. I have been a while. I have a great drea the most important things. The may have to pay a fee of the most popular and I will not 66 the most of the most of my life. I was a bit of the best, but the 15th. I have been a while. I am your what is happening in the next couple days 6 the most of the most of the most
Step-by-step explanation:
popular and I will not be hurt by a friend of the day, and the other side, I think I have a great drea, I think I have been a while. I have been in touch. Thanks for the next day delivery. We have a great drea the same time. I was just the right place for the use of the most of the most popular and I am a beautiful person. The comments for your email.
The woman will land on the east bank of the river at a downstream of 37.5 miles.
What is meant by relative velocity ?Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.
Here,
Width of the river, W = 60 miles
Velocity of the boat in still water, Vb = 2 mph
Velocity of river, Vr = 5 mph
Relative velocity of the boat with respect to river in downstream,
Vbr = Vb + Vr
Vbr = 8 mph
Drift of the boat, d = Vr W/Vbr
d = 5 x 60/8
d = 37.5 miles downstream
Hence,
The woman will land on the east bank of the river at a downstream of 37.5 miles.
To learn more about relative velocity, click:
https://brainly.com/question/19260269
#SPJ3
You have $5.60 to buy avocados for a guacamole recipe. Avocados cost $1.40 each.
Answer:
You could buy 4 avacodos with how much money you have :)
You can buy 4 avocados
Quadrilateral ABCD has the following coordinates A (0,0) B(0,3) C(5,5) D(5,2). What kind of quadrilateral is ABCD? Prove your answer
Answer:
Parallelogram
Step-by-step explanation:
Prove using diagram on graph paper (attached drawing)
42 - 35 = 8 - 12 + t
What does t mean?
An equation is represented by the model below
What is the value of x that makes the equation true?
If you can may someone explain how to do this also? Thanks!
Answer:
The value of x=5!
Step-by-step explanation:
I remeber ing this!!!:)
PLEASE HELP ME I WANT TO PASS THIS CLASS AND GRADUATE WILL GIVE BRAINLIEST
A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males.
Part A: Construct and interpret a 99% confidence interval for the difference in population proportions of females and males who have at LEAST one notation for inappropriate behavior. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)
Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)
lol the handwriting hurts
Answer:
other person!
Step-by-step explanation:
give the other person brainliest; hope you pass the class!
yo can someone help me with this? (Links = report)
Answer:
2
Step-by-step explanation:
12.6 divided by pi= 4.01
sqaure root of 4 is 2
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3. Use the information about the m<2 and m
determine the missing information.
m22 = 97°
m26 = 83°
m
2
5
m2 3 =
m2 5 =
3
4
7
8
m210 =
m2 7 =
9
10
13
14
m2 9 =
m216 =
$
11
12
15/16
Answer:
m<3 = 97
m<10 = 97
m<9 = 83
m<5 = 97
m<7 = 83
m<16 = 97
Step-by-step explanation:
m<3 = m<2 because of vertical angles
m<10 = m<2 because of corresponding angles
m<9 + 97 = 180
m<9 = 83
m<5 + 83 = 180
m<5 = 97
m<7 = m<6 because of vertical angles
m<16 = m<5 because of alternate exterior angles.
will make the brainly help
Answer:
A
E
11.C
12.B
13.E
14.A
15.D
Step-by-step explanation:
Good luck ^^
what is the interest earned for $5,000 compounded annually for 4 year at 6%.
Answer:
Step-by-step explanation:
ASAP!!! and no links please 25 points!!!!!
The radius of a can of soda is 0.75 inches. Find the area of the top of the can. Round to the nearest hundredth.
(Values only! No units!)
Answer:
2.36
Step-by-step explanation:
Multiply the radius (0.75) with the value of pi (3.14.....)
0.75 x pi = area
area = 2.35619449019
ROUNDED TO HUNDREDTHS = 2.36
hope this helps :)
232.7449 rounded to the nearest whole number? please help
Answer:
233
Step-by-step explanation:
Look at the tenths place. It is above 5 so you round to 233,
Answer:
233
Step-by-step explanation:
Simple, 7 is closer to 10 than 0, round up to 233.
find the value of x
−8(x−6)=32
Answer:
x = 2
Step-by-step explanation:
-8(x-6) = 32 (distribute)
-8x+48 = 32 (subtract 48 from both sides)
-8x = -16 (divide)
x = 2
Answer:
x = 2
Step-by-step explanation:
Divide both sides :
−8(x−6)=32
Divide both sides of the eqaution by -8 :
x - 6 = -4
Move the constant to the right :
x - 6 = -4
Move the constant to the right - hand side and change its sign :
x = -4 + 6
Calculate :
x = -4 + 6
Calculate the sum :
x = 2
Therefore, the answer is x = 2
23 points!!!!!!
If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.
2.5 cm
2 cm
1 cm
4 cm
Answer:
2.5cm and 4cmStep-by-step explanation:
According to Triangle Inequality Property:
Measurement of any two sides of the triangle should be greater than the third side
So,
For 2.5,
6 + 4 = 10 > 2.5
4 + 2.5 = 6.5 > 6
6 + 2.5 = 8.5 > 4
For 4,
6 + 4 = 10 > 4
4 + 6 = 10 > 4
4 + 4 = 8 > 6
While for 1 and 2,
4 + 1 = 5 < 6
and
4 + 2 = 6 = 6
Hence,
Only 2.5 and 4 are the possible measurements.
What is an equation of the line that passes through the points (-4,-2)
and (8,1)?
Answer:
y=0.25x-1
Step-by-step explanation:
y=mx+b
slope = 0.25
y = 0.25x+b
the y intercept = -1
y = 0.25x+-1
y = 0.25x-1
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
For every 7 books Ethan read, Sadie read 3 books.
Step-by-step explanation:
For every 21 books Ethan read, Sadie read 9 books.
Unsimplified Ratio = 21:9
21 and 9 have a common factor of 3.
Because 21 and 9 share a common factor we can simplify the ratio
21 / 3 = 7
9 / 3 = 3
The new ratio is 7 to 3
So for every 7 books Ethan read, Sadie read 3 books.
The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.
Answer:
x = 12°
Step-by-step explanation:
The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.
The sum of the exterior angles of a polygon sums up to 360
An hexagon is a 6 - sided polygon
(x + 2x + 5x + 6x + 7x + 9x) = 360
30x = 360
Divide both sides by 30
x = 360 / 30
x = 12
Hence, x = 12°
Question 5 (1 point)
Which statement about segregation in Arkansas following Reconstruction is true?
The United States Supreme Court supported segregation.
O Governor Clayton put a stop to segregation.
Only public transportation was segregated
The federal government resisted efforts to segregate.
Answer:
Step-by-step explanation:
The answer is the United states Supreme Court suported segreation
pls help help help help help help
Answer:
-89
Step-by-step explanation:
-89
-89= 10(-7) - 19 -----------> -70 - 19
The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
D. 144 m^3
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}
Answer:
(2,8), (3,5),
Step-by-step explanation:
A marine biologist measured one fish that was 9/10 of a foot long and a second fish that was 7/10 of a foot long. How much longer was the first fish?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2/10 of a foot long.
Step-by-step explanation:
Answer:
The first fish was 1/3 of a foot longer.
mark me brainlest
Step-by-step explanation:
1/2=3/6
3/6>1/6
3/6-1/6=2/6
2/6 / 2/2
1/3
Can somebody help me with one of these i literally don’t get it.
Answer:
basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves
Step-by-step explanation:
Answer:
Step-by-step explanation:
The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]ABD = 0.18x +67[/tex]
[tex]CBD = 0.07x + 48[/tex]
Required
Find x
The question is incomplete as the relationship between ABD and CBD is not stated.
Assume ABD = CBD
The solution is:
[tex]0.18x + 67 = 0.07x + 48[/tex]
Collect like terms
[tex]0.18x - 0.07x= - 67 + 48[/tex]
[tex]0.11x= -19[/tex]
Solve for x
[tex]x = -\frac{19}{0.11}[/tex]
[tex]x = -172.72[/tex]
Assume ABD and CBD are supplementary
The solution is:
[tex]ABD + CBD=180[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]
[tex]0.25x = 65[/tex]
Solve for x
[tex]x = \frac{65}{0.25}[/tex]
[tex]x = 260[/tex]
Assume ABD and CBD are complementary
The solution is:
[tex]ABD + CBD=90[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]
[tex]0.25x = -25[/tex]
Solve for x
[tex]x = \frac{-25}{0.25}[/tex]
[tex]x = -100[/tex]
What is the solution to the inequality (21+5) >1?
Answer:
True
Step-by-step explanation:
(21+5) >1
Simplify 21+5
26>1
Therefore the solution is
True
Helped by none other than the #Queen herself #DRIPPQUEENMO
Can any of these get round to the Nearest tenth
Answer:
They both can First=1,885 second=628.3
Step-by-step explanation:
Answer:
Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.
Select the TWO numbers that are solutions to the equation x2 = 49.
A. 49
B. 7
C. -49
D. 2
E. -7
Answer:
x = ±7
x=7, -7
Step-by-step explanation:
x^2 = 49
Take the square root of each side
sqrt(x^2) = sqrt(49(
x = ±7
(HALP ILL GIVE BRAINLY AND IS A MULTIPLE CHOICE) no links or I will report
Answer: the correct answer is answer (4) (2,4)
Step-by-step explanation:
I hope you get it right :)