9514 1404 393
Answer:
36 liters of 20%18 liters of 35%54 liters of 55%Step-by-step explanation:
Let a, b, c represent the quantities of 20%, 35%, and 55% solutions, respectively. Then for the given mix, we have ...
a + b + c = 108 . . . . . total number of liters
.20a +.35b +.55c = 0.40·108 . . . . . liters of acid
0a - 3b + c = 0 . . . . . 55% solution was 3 times 35% solution
__
Solving these three equations by your favorite method gives ...
(a, b, c) = (36, 18, 54)
The chemist used 36 liters of 20%, 18 liters of 35%, and 54 liters of 55%.
_____
Comment on alternate approach
Since the ratio of 55% to 35% is 3 : 1, that mix will have an acid content of ...
(3(.55) +1(.35))/4 = 0.50 = 50%
So, the final mix is equivalent to some quantity of 50% mix being added to some quantity of 20% mix. The fraction that is 50% mix* will be (40-20)/(50-20) = 2/3 of the total, or (2/3)(108 L) = 72 L.
Now we know that (1/3)(108 L) = 36 L of 20% solution is needed and (1/4)(72 L) = 18 L of 35% solution is needed. 3 times that is 54 L of 55% solution.
__
* After you work a few mixture problems, you can see the pattern. If we start with an equation for x = fraction of 50% to use with 20% to make 40%, we get ...
x(50%) +(1 -x)(20%) = 40%
x(50% -20%) = 40% -20% . . . . . subtract 1(20%) and factor out x
x = (40% -20%)/(50% -20%)
The key here is to see where the numbers 20%, 40%, and 50% show up in the fraction.
5m (2n - 7) in equivalent form re write this question i only have 2 minutes plz help
Answer:
10mn-35m is the answer
help with a question please :)
The answer would be A. 7 Nickels
Hello!! I need help with square root please help me!!!
Ok so what you need to do is you need to get all the numbers and see which one is the right number so...
A. y = 11.2 that is wrong
B. y = 25 is wrong
C. y = 5 is right
D. y = 15 is wrong.
C is right because it would be 5 times 5 times 5. SO 5 times 5 is 25, and then u times it by 5 and you get 125!
C is correct
Hope this helps!!
Answer:
This is actually a cube root, since you need a cube root to cancel out the cube.
C, y = 5
Step-by-step explanation:
125 = 5 × 5 × 5 = 5^3
5 × 5 × 5 = 25 × 5 = 125.
Therefore the cube root of 125 = 5.
It REALLY helps when you break these into factors.
[tex] \sqrt[3]{125} = 5 , \: as \: {5}^{3} \: = 125 [/tex]
This is essentially asking what multiplied by itself three times is equal to 125.
Process of elimination can be used for any number cubed that is ≠ 125
i.e : 11.2^3 ≠ 125
11.2^3 = 11.2 × 11.2 × 11.2 = (11.2-1.2)(11.2+1.2)(11.2) = (11.2)((10)(12.4) + 1.2^2) = 124 + 1.44 = (125.44)(11.2) = 125.44(10+1+(2/10)) = 1254.4 + 125.44 + 25.088 = 1404.928 ≠ 125, y ≠ 11.2
I.e : 25^3 = 25 × 25 × 25 = 625 × 25 = (600+25)(25) = 625 + 6(25)(100) = 15000 + 625 = 15625 ≠ 125, y ≠ 25.
And i.e: 15^3 = 15 × 15 × 15 = 225 × 15 = (225)(10+5) = 225(10) + 225(10/2) = 2250 + 2250/2 = 2250 + 1125 = 3375 ≠ 125, y ≠ 15.
Use an area model to solve 2 2/3 x 4 35.
Answer:
I can give you the answer right of the top of my head here it is 1 and 3/4 x 2 and 1/2 is 4 and 3/8
Step-by-step explanation:
Make me brainlist plsssss
Point S is between points R and T on RT. Use the information to write an equation in terms of x. Then solve the equation and find RS, ST, and RT.
RS = 2x - 8
ST = 3x - 10
RT = 17
RS =
ST=
RT=
Answer:
RS=6
ST=11
Step-by-step explanation:
answer is above
The value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Point S is between points R and T on RT.
RS = 2x - 8
ST = 3x - 10
RT = 17
From the above information:
RT = RS + ST
17 = 2x - 8 + 3x - 10
17 = 5x - 18
35 = 5x
x = 35/5
x = 7
RS = 2x - 8 = 2(7) - 8 = 6 units
ST = 3x - 10 = 3(7) - 10 = 11 units
RT = 17 units
Thus, the value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units.
Learn more about the linear equation here:
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If a = b and b = c, which statement must be true?
Answer:
a=c
Step-by-step explanation:
This is because of the transitive property; which states that if a=b and b=c, then a=c.
solve: 9 x squared minus 12x + 4 equals 0. give answer as a fraction or integer do not use decimals do not put space in answer
The answer is x= 2/3
:) <3
4 equal piece of rope out of 2 1/2 inch how long is each piece
Answer:
1/4 inches
Step-by-step explanation:
To get 4 equal pieces you need to cut the 2 equal pieces in half, which half of 1/2 inches is 1/4 inches.
The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notation?
1 point
3. The value of gold is always changing. Last year, Max had a 0.2-ounce
piece of gold valued at $148.96. This year he had a 0.24-ounce piece of
gold valued at $222.84.How much had the price of gold per ounce changed
since last year? Record your answer and fill in the bubbles on your answer
document. Be sure to use the correct place value
Your answer
Answer:
the price has practically multiplied by 12 because if the ounce was 2 and now is 24 divide and get 12 hope this helps
Step-by-step explanation:
At Knits sweater store, a sweater is on sale for 30% off. If the original price on the tag is $46.00, what is the sale price of the sweater?
Answer:
$32.20
Step-by-step explanation:
46 - 0.30 * 46
= $32.20
Which equation represents exponential decay? A. y=100 (31)
B. y = To (3.1)
c. y = 10(0.13)
D. y = 100(1.03)
HURRY I AM DOING MAP TESTING
Answer:
C
Step-by-step explanation:
Which linear equation has a slope of 3 and a y-intercept of –2?
y = 3x + 2
y = 3x – 2
y = –2x + 3
y = –2x – 3
Answer:
y =3x-2
Step-by-step explanation:
Using the approximation 3.14 for pi, what is the radius of a circle with circumference 69.1 m?
Answer:
11.0
Step-by-step explanation:
Circumfrence = 2 x pi x r.
making radius, r the subject of relation, you.get 11.003184713
Answer:
Hey!
Your answer is 11cm!
Step-by-step explanation:
So to get the radius from the Circumference we need both the Circumference and the value of pi...3.14
Radius = [tex]\frac{C}{2\pi }[/tex] ... (that's the formula)
WE SUBSTITUTE IN:
Radius = 69.1/2 x 3.14
69.1/6.28
This equals = 10.99760656765
BUT 11cm when you round it to the next whole number or 2sf
I HOPE THIS HELPED YOU!What is the maximum number of turns in the graph of this function? f(x) = x5 – x2 – x+1
Answer:
4
Step-by-step explanation:
Jacinda made 16 baskets during the basketball game. Greta made 4 baskets. The number of baskets Jacinda made is how many times more than the number of baskets Greta made? Choose the answer that has the correct equation AND the correct solution to the equation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Jacinda = 16 baskets
Greta = 4 baskets
The number of baskets Jacinda made is how many times more than the number of baskets Greta made?
To obtain this :
Number of baskets Jacinda made / Number of baskets Greta made
If Jacinda's basket = J ; Greta's basket = G
J / G
16 / 4 = 4
Hence, Number of basket Jacinda made is 4 times more than that made by Greta
You are 5 1/4 feet tall. You must be at least 5 3/4 feet tall to ride a roller coaster. Which inequality represents how much taller you must be to ride the roller coaster?
Answer:
Not quite understanding but it could possibly be 5 1/4<5 3/4.
5 1/4 + 1/2= 5 3/4= 5 3/4
Step-by-step explanation:
Find the value of x for the given square.
8x - 5
3x + 20
x= ?
Answer:
I am not 100% sure but I believe it is 45
You move up 4 units and right 2 units. You end at (-1, 3). Where did you start?
Answer:
You started at (-3,-1)
A toy glider plane is launched from a height of 50 feet above the ground. If the plane descends at a constant rate of 1.3 feet per second, then its height, in feet, after s seconds can be found using the equation h = 50-1.3s. Use the equation to find the height of the glider 9 seconds after it was launched.
Answer:
38.3 feet
Step-by-step explanation:
h=50-1.3(9)
h=50-11.7
h=38.3
-5 – 5 + (6 x -7) x 2
Answer:
-94
Step-by-step explanation:
Sam drove 315.5 miles in 5 hours. If he drove the same number of miles each hour, how many miles did he drive per hour?
Answer:
63.1
Step-by-step explanation: You divide 315.5 by 5 to get the answer
Answer:
Step-by-step explanation:
it should be 315.5 or since it is and a 5 all you have to do is multiply it easy hope this helped :)
help with math problems
Answer:
Step-by-step explanation:
b. 27
d 25
e 20
f 342
h 54
Determine the intercepts of the line.
y= -3.6 +12
y-intercept:
X-intercept:
Need to know NOW
Answer:
y = 12
x = 10/3
Step-by-step explanation:
y = -3.6x + 12
From this equation, which is in slope intercept form (y = mx+b), we already know that b represents the y-intercept, so that means the y-intercept is 12.
To find the x-intercept, we need to make y equal 0 to find x. So:
0 = -3.6x + 12
-3.6x = -12
x = 3.33333 --> 3 1/3
x = 10/3
1) Relacione o nome dos polígonos de acordo com o total de lados. a) Triângulo ( ) 8 lados. b) Quadrilatero ( ) 6 lados. c) Pentágono ( ) 7 lados. d) Hexágono ( ) 3 lados. e) Heptágono ( ) 4 lados. f) Octógono ( ) 5 lados. 2) O ângulo reto , também conhecido como ângulo de um quarto de volta mede:. a) 90° b) 180° c) 270 ° d) 360 ° 3) O ângulo que mede menos 90 ° e mais de 0° é chamado de : a) agudo b) raso c) reto d) obtuso. 4) Um teatro 64 fileiras de poltronas e cada fileira tem 35 poltronas. Qual é a lotação desse teatro? 5) André e Federico fizeram 28 pacotes contendo 180 bandeirinhas cada pacote . Quantas bandeirinhas os meninos fizeram ? 5) Calcule : a) 861 x 27= b) 798 x 45=
Answer:
1
O nome de um polígono é um nome que se deve ao número de lados que o polígono possui.
a) Triângulo = 3 lados.
b) Quadrilátero = 4 lados.
c) Pentágono = 5 lados.
d) Hexágono = 6 lados.
e) Heptágono = 7 lados.
f) Octógono = 8 lados.
2) O ângulo reto, também conhecido como ângulo de um quarto de volta, mede: a) 90 °
3) O ângulo que mede menos 90 ° e mais que 0 ° é denominado: a) agudo
4) 2240
5) 5040 sinalizadores
6) Calcule: a) 861 x 27 = 23247
b) 798 x 45 = 35910
Step-by-step explanation:
1) Liste o nome dos polígonos de acordo com o número total de lados.
a) Triângulo = 3 lados.
b) Quadrilátero = 4 lados.
c) Pentágono = 5 lados.
d) Hexágono = 6 lados.
e) Heptágono = 7 lados.
f) Octógono = 8 lados.
2) O ângulo reto, também conhecido como ângulo de um quarto de volta, mede: a) 90 ° b) 180 ° c) 270 ° d) 360 °
= a) 90°
Um triângulo ângulo reto pode ser definido como um triângulo onde um de seus 3 ângulos é equivalente a 90 graus (90°).
3) O ângulo que mede menos 90 ° e mais que 0 ° é denominado: a ) agudo b) raso c) reto d) obtuso.
Um ângulo maior que 0 ° e menor que 90 ° pode ser definido como um ângulo agudo.
= a) agudo
4) Um teatro com 64 filas de assentos e cada fila tem 35 assentos. Qual é a capacidade deste teatro?
No teatro, cada fila tem 35 lugares.
Temos 64 linhas
O número total de licenças que temos é calculado como:
1 fila = 35 assentos
64 linhas =
Multiplicação cruzada
64 filas × 35 assentos
= 2.240 assentos.
Portanto, a capacidade do teatro é de 2240.
5) André e Federico confeccionaram 28 embalagens contendo 180 bandeiras cada embalagem. Quantas bandeiras os meninos fizeram?
O número de bandeiras que os meninos fizeram é calculado como:
28 pacotes × 180 bandeiras
= 5040 sinalizadores
6) Calcule: a) 861 x 27 = 23247
b) 798 x 45 = 35910
Gianna walked 12 miles in 6 hours. What was her walking rate in miles per hour?
Answer:
2 mph
Step-by-step explanation:
12/6
Her walking rate in miles per hour is 2
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given;
Gianna walked 12 miles in 6 hours
6hours= 12 miles
1hour= 12/6miles
1hour= 2miles
Therefore, the rate of gianna by unitary will be 2mph
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Alonzo runs 6 miles in 50 minutes. at the same rate, how many miles would he run in 35 minutes?
Answer: 4.2 miles
Step-by-step explanation:
6 mi/50 minutes = 6/50 mi per minute
35 minutes * 6/50 = 4.2 miles
Answer these question for brainlist and 5 stars
Answer:
3. Em dash
4. En dash
Step-by-step explanation:
The teachers set a goal of $225. Write 2 statements the principal could use to compare the goal to the 8th graders $300 Goal
Answer:
that where goal was summer saying that it was 25$ apart
Step-by-step explanation:
Solve the equation 2x2- 5 = 45
Answer:
x= 5, -5
Step-by-step explanation: