Answer:
The answer is [tex]5\: m/s^2[/tex]
Step-by-step explanation:
hope this helps :)
A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 35 % and the third contains 65 % . He wants to use all three solutions to obtain a mixture of 72 liters containing 45 % acid, using 2 times as much of the 65 % solution as the 35 % solution. How many liters of each solution should be used?
Answer:
18 liters 15% acid
18 liters 35% acid
36 liters 65% acid
Step-by-step explanation:
Let's say x is the volume of 15% acid, y is the volume of 35% acid, and z is the volume of 65% acid.
x + y + z = 72
z = 2y
The amounts of acid add up to the final amount.
0.15x + 0.35y + 0.65z = 0.45 (72)
Substitute the expression for z into both equations.
x + y + 2y = 72
0.15x + 0.35y + 0.65 (2y) = 0.45 (72)
Simplify:
x + 3y = 72
0.15x + 1.65y = 32.4
Solve for x in the first equation, then substitute into the second.
x = 72 − 3y
0.15 (72 − 3y) + 1.65y = 32.4
Solve for y.
10.8 − 0.45y + 1.65y = 32.4
1.2y = 21.6
y = 18
Now find x and z.
x = 72 − 3y = 18
z = 2y = 36
18 liters 15% acid, 18 liters 35% acid and 36 liters 65% acid should be used.
What is percentage?Percentage is a measurement to find the value of a given number out of a hundred.
Let x is the volume of 15% acid, y is the volume of 35% acid, and z is the volume of 65% acid.
Given that, the total mixture is 72 liters,
Implies that,
x + y + z = 72
Also,65% solution is used two times as 35% solution is used.
z = 2y
The amounts of acid add up to the final amount.
0.15x + 0.35y + 0.65z = 0.45 (72)
Substitute the value of z here,
0.15x + 0.35y + 0.65 (2y) = 0.45 (72)
Simplify
x + 3y = 72
0.15x + 1.65y = 32.4
Solve for x in the first equation, then substitute into the second.
x = 72 − 3y
0.15 (72 − 3y) + 1.65y = 32.4
Solve for y.
10.8 − 0.45y + 1.65y = 32.4
1.2y = 21.6
y = 18
Now find x and z.
x = 72 − 3y = 18
z = 2y = 36
18 liters 15% acid, 18 liters 35% acid and 36 liters 65% acid should be used.
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please help me i need to turn this in
Answer:
d
Step-by-step explanation:
do this all the time
helppp mee pleaseeeeeeeee
Answer: It's false.
I believe you would do (5-3) first.
Answer:
false
Step-by-step explanation:
out of the 4, which is the solution?
Answer:
x=0
Step-by-step explanation:
You can substitute 2-6y in for x to create
9y +2(2-6y) = 3
9y + 4 -12y = 3
-3y = -1
y=1/3
Then plug in y for x=2 -6y
x= 2-6(1/3)
2-2=x
x=0
The coach took a digital photo of the new cycling team bike. She sent a 4 cm-by-6 cm photo to each team
member.
1. If the photo were enlarged to 150% of its original size, what would be its new length (long side)?
9
2. Suppose you want to make a 2 cm-by-3 cm copy of the original photo.
What percent should you use?
50%
3. What will be the measurement for each angle in the smaller photo?
Answer:
1. 9 cm
2. 50%
3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).
Step-by-step explanation:
1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.
2. 2 is 50% of 4 and 3 is 50% of 6.
3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).
Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answer:
15:20=3:4
Step-by-step explanation:
Hi. Please I need help with these questions.
It's urgent .
No jokes. This time
Answer No 14
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Answer:
21x² +20x +100 = 0
Step-by-step explanation:
We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...
α+β = -bαβ = cThe sum of the roots of the new equation will be ...
-b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))
The product of the roots of the new equation will be ...
c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)
Using the above relations for (α+β) and αβ, we find that ...
-b' = (-b)(1 +1/c)
c' = c + 2 + 1/c
For the given equation, our definition of b and c is ...
b = 2/3
c = 7/3
so the new equation has values ...
b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21
c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21
So, the equation with the roots of interest is ...
x² +20/21x +100/21 = 0
Multiplying by 21 gives ...
21x² +20x +100 = 0
Please help this is due today
ABDE is an isosceles trapezoid. Name one pair of congruent triangles that could be used to show that the diagonals of an isosceles
trapezoid are congruent.
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Answer:
ΔABE, ΔBADΔAED, ΔBDEStep-by-step explanation:
Each diagonal divides the figure into two triangles. Either could be used with its counterpart to show congruence of the diagonals.
ΔABE and ΔBAD, orΔAED and ΔBDEPlease Hurry i need help.. it’s on a google form and if i don’t put the answers quick enough it’ll log me out.
Answer:
hiii, its B. 1/8. let me know if you need more help
Mr.morales makes a table of the number of chaperones needed for different number of students attending a field trip. the ratio of parent chaperones to students is a constant proportion. what is the missing number in Mr.morales table.
Answer:
mark brainest
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Because, its multiplying by 8.
2×8= 16
4×8=32
6×8=48
8×8=64
Overnight the temperature went from 39*F to -5*F. What is the difference in temperature?
Help meee please!!!!!!!!!!!!!!!!
Answer:
i think it A
Step-by-step explanation:
what equation is equivalent to -12+(-4/5)+31
Answer: -12 + (4/5) + 31 = 18.2
Joseph is making kebabs. He wants each kebab to have 3 pieces of meat and 4
pieces of vegetables.
Which of the following could Joseph use to make kebabs without any leftovers?
Answer:
Option D.
Step-by-step explanation:
From your comment, you said D was 30 pieces of meat and 40 pieces of vegetables. The starting ratio is 3:4. A true proportion is 3:4::30:40. 3 and 4 are both multiplied by 10 to get 30 and 40 therefore there would be no leftovers.
What is the equation in slope-intercept form that passes through the points (-4, 47) and (2, -16)?
Answer:
y = 10.5x - 37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality Properties
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-4, 47)
Point (2, -16)
Step 2: Find slope m
Substitute: [tex]m=\frac{-16-47}{2+4}[/tex]Subtract/Add: [tex]m=\frac{63}{6}[/tex]Simplify: [tex]m=\frac{21}{2}[/tex]Step 3: Find y-intercept b
Define: y = 21/2x + bSubstitute: -16 = 21/2(2) + bMultiply: -16 = 21 + bIsolate b: -37 = bRewrite: b = -37Step 4: Write linear equation
Combine all parts.
y = 21/2x - 37
y = 10.5x - 37
And we have our final answer!
please please help
Simplify (4x − 6) − (3x + 6).
Answer:
x - 12
Step-by-step explanation:
To solve the equation, you need to combine like terms.
The first pair of like terms are 4x and 3x, so 4x - 3x = x
The second pair of like terms are -6 and 6 so -6 - 6 = -12
Therefore, the answer will be x - 12
A movie theater sends out a coupon for 75% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
Answer:
x divided by 75% = y
Step-by-step explanation:
Answer:
0.25x
Step-by-step explanation:
Not what the guy on the top said.
HELP!! What value of y makes the equation 4x – 3y = 17 true, when x = 2?
Answer:
y= -3
Step-by-step explanation:
4(2) - 3y = 17
8-3y=17
-8 -8
-3y=9
______
-3
y=-3
Answer:
y = -3
Step-by-step explanation:
The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg
is one less than the hypotenuse.
What is the length of the hypotenuse? *
What is the perimeter of the triangle?
Answer:
b
Step-by-step explanation:
PLS HELP I have a time limit
Answer:
THE ANWSER IS 2.7
Step-by-step explanation:
YOUR TO TAKE GRAM AND DIVE IT BY 54
Answer:
C
Step-by-step explanation:
What is the slope of the line through (–2. -6) and (2, 2)?
Answer:
slope is 2
Step-by-step explanation:
In 2020, a town was recorded as having a population of 10,000 and is predicted to grow at 5% every year. What will be the population in 2035, to the nearest whole number? *
Answer:
20789
Step-by-step explanation:
The equation of exponential growth is y=A(1+r)^t
A=10,000
r (rate)=0.05 (5% as a decimal)
t (time)=15 (2035-2020=15)
y=10,000(1+0.05)^15
y=20789.2817
you can't have part of a person, so y=20789
The Sarsen Circle at Stonehenge has a circumference of 304.7 feet. What is the radius in feet of the Sarsen Circle?
Answer: r≈48.49ft
Step-by-step explanation:
hoped that help if so plz mark me brainlest =)
Sulins savings is 75% of Meifens saving. if Sulin save $300, how much does Meifen save?
A) $225
B) $425
C) $325
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Answer:
D) $400
Step-by-step explanation:
We are given the relations ...
s = 0.75m
s = 300
Then we can find m by equating the expressions for s:
0.75m = 300
m = 300/0.75 = 400
Meifen's savings is $400.
9. What is the value to the solution for the system of equations y = -5X-9 and y = 2x + 5.
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Answer:
(x, y) = (-2, 1)
Step-by-step explanation:
Equate the two expressions for y.
-5x -9 = 2x +5
-14 = 7x . . . . . . . .add 5x-5
-2 = x . . . . . . . . . divide by 7
Then ...
y = 2(-2) +5 = 1
The solution is (x, y) = (-2, 1).
What is a really good better buy question
Answer:
what?
Step-by-step explanation:
Answer: huh? lol
Step-by-step explanation:
Fiona was thinking of a number. Fiona subtracts 11 from it and gets an answer of 33.9. What was the original number?
Answer: 44.9
Step-by-step explanation:
33.9+11 = 44.9
Answer:
44.9
Step-by-step explanation:
33.9+11=44.9
44.9-11=33.9
slove each system of equations using graphing, substitution or elimination. y=2x-3 y=2x+3
y=2x-3
y=2x+3
Since the both expressions 2x-3 and 2x+3 are equal to y, set them equal to each other forming an equation in x.
2x-3=2x+3
Cancel equal terms on both sides of the equation
-3=3
The statement is false for any value of x and y , so there is no solution
Lianne is saving to buy a DVD player that costs 2 1\2 times her weekly allowance. If she spends 3\4 of her allowance on other things, how long will she take to save the money for the DVD player?
Answer:
She will take 10 weeks to save the money for the DVD player
Step-by-step explanation:
Let w = Lianne's weekly allowance.
The DVD player costs 2 1/2 times her weekly allowance, thus
DVD cost = 5/2w
She gets w every week but spends 3/4w on other things, thus the remaining money is
Weekly savings =w - 3/4w = 1/4w
To know the number of weeks needed, we divide the DVD cost by the weekly savings:
[tex]\displaystyle N = \frac{\frac{5}{2}}{\frac{1}{4}}[/tex]
Operating:
[tex]\displaystyle N = \frac{5}{2}*\frac{4}{1}[/tex]
N = 10
She will take 10 weeks to save the money for the DVD player
Amani is mailing packages. Each small package costs her $3.40 To send. each large package costs her $4.30. how much will it cost her to send six small packages and seven large packages?
Answer:
the answer is $50.50,
Answer:50.50
Step-by-step explanation: