Answer:
Number of liters of 30% solution = x = 3.3 liters
Number of liters of 60% solution = y
= 6.67 liters
Step-by-step explanation:
Let us represent:
Number of liters of 30% solution = x
Number of liters of 60% solution = y
Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.
30% × x + 60% × y = 10 × 50%
0.3x + 0.6y = 5...... Equation 1
x + y = 10...... Equation 2
x = 10 - y
We substitute 10 - y for x in Equation 1
Hence
0.3(10 - y) + 0.6y = 5
3 - 0.3y + 0.6y = 5
- 0.3y + 0.6y = 5 - 3
0.3y = 2
y = 2/0.3
y = 6.67 liters
Solving for x
x = 10 - y
x = 10 - 6.67
x = 3.33 liters
Hence:
Number of liters of 30% solution = x = 3.3 liters
Number of liters of 60% solution = y
= 6.67 liters
I need help please and thank you! :)
Answer:
Sorry I’m only in 8th grade and can’t figure it out
Step-by-step explanation:
Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value of D?
Answer: C 3a^4
Step-by-step explanation:
I just took the test
The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
What is vertical method to multiply?The vertical method to multiply is one of the simple method to perform multiplication operation.
In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.
The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.
[tex]4a^3+3a^2-2a+1[/tex]
X [tex]a^2-2a+3[/tex]
______________________
+ [tex]12a^2+9a^3-6a+3[/tex]
[tex]-8a^4-6a^3+4a^2-2a[/tex]
[tex]4a^5+3a^4-2a^3+a^2[/tex]
_______________________
[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]
This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,
[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]
Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
Learn more about the vertical method to multiply here:
https://brainly.com/question/12709314
#SPJ2
Estimate the circumference of the following circles:
d = 10cm
r = 7 cm
d = 15 m
Answer:
43.98
Step-by-step explanation:
Circumference= 2πr
so it would be 2x3.14x7=43.98
Answer:
1. 31.42cm
2. 43.98cm
3. 47.12cm
Step-by-step explanation:
Multiply the diameter by pi,
Since the radius is just half of the diameter, make it 14 then multiply by pi
Solve for x in the diagram * 10 POINTS HELP*
Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
Urgent!
Quadrilateral ABCD is inscribed in the circle. What is the measure of angle C?
Answer: 92
Step-by-step explanation: Angles in an inscribed quad are supplementary and add to 360.
First solve for x:
2x+34=180
x = 73
Then, solve for c
3x + 49 + c = 360
3(73) + 49 + c = 360
268 + c = 360
c = 92
Which term is not a like term?
A.3x
B.4y
C.7x
D.x
Please. I’m begging for help. I have no idea what to do. Could you possibly explain on how to do it
Find the area of the circle. Round your answer to the nearest hundredth.
2 cm
Answer:
12.57 if 2cm is the radius,
3.14 if 2cm is the diameter
Step-by-step explanation:
If the radius 2cm
A = πr^2 = π·2^2 ≈ 12.56
If the diameter 2cm
A= πr^2 = π·1^2 ≈ 3.14
X =(5x - 10)
130°
Find x
Answer:
Step-by-step explanation:
5x-10 = 180-130
5x-10 = 50
5x = 60
x = 12°
If a ship had 1500 boars, what is the age of captain??
Answer:
At least 24 (if started around 19) or 23 (if started internship around 18)
[ results are only if the boars are dead and the ship's capacity is closest to the TEU ]
Please help me out and make sure to show your work! thanks
Answer:
1075 sq ft
Step-by-step explanation:
There are a few ways to do this but I am only going to show one.
35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075
When I am doing exponential functions, amd need to graph, how do I figure out what the points are for f(x)=3(6)^(x-1)-5? The five is not an exponent.
Answer:
Attached
Step-by-step explanation:
Find the sixth term of a geometric sequence with which a, =-3 and r=-2.
Answer: 96
Step-by-step explanation: a is the initial term, and r is the ratio by which a increases. Multiplying -2 by -3 five times gives this sequence: -3, 6, -12, 24, -48, 96
3. A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.
Answer:
1.38d
Step-by-step explanation:
Solve the following quadratic equation
(x-18)^2=1.
A. x = 19 and x = 17
B. x = -19 and x = -17
C. x = -19 and x = 17
D. x = 19 and x = -17
To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:
Taking the square root of both sides gives us:
x - 18 = ±√1
Simplifying the square root of 1, we have:
x - 18 = ±1
Now, let's solve for x by considering both the positive and negative cases:
Case 1: x - 18 = 1
Adding 18 to both sides:
x = 1 + 18
x = 19
Case 2: x - 18 = -1
Adding 18 to both sides:
x = -1 + 18
x = 17
Leading to our final correct answer is:
A. x = 19 and x = 17
ヾ(•ω•`)o
A hot chocolate recipe calls for three teaspoons of cocoa for every cup of milk. How many teaspoons of cocoa are needed for a batch that uses six cups of milk?
Answer:
18 tsp of cocoa
Step-by-step explanation:
3 tsp : 1 cup
? tsp : 6 cups
6 / 1 = 6
3 x 6 = 18
Help this is due tonight.
What is 4x + 3y = -20 and x - 3y = -20
PLZ HELP
Answer: y= - 4/3 x - 20/3
Katy buys 2 DVDs every 2 weeks. How many DVDs will she buy in 14 weeks?
A. 28
B. 4
C. 56
D. 14
I WILL GIVE U BRAINLYIST FIRST TO ANSWER RIGHT
Answer:
D
Step-by-step explanation:
Its D because thebsample of 2 is noticed
what is x + 15 > 3?
please hurry i need this for a math test and I will give a lot of points
Answer:
hmm
Step-by-step explanation:
Answer:
x>-12
Step-by-step explanation:
x + 15 > 3 (Group like terms)
x>3-15
x>-12
1/2x+4=9 solve for x.. Help?
Answer:x=10
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
Step 2: Multiply both sides by 2.
Answer: x=10
Step-by-step explanation:
1/2x+4=9
-4 -4
1/2x=5
multiply by 1/2 on each side
x=10
HELP!!!!!!!!!!!!!!!!
Answer:
C. 390 cm²
Step-by-step explanation:
Area of Rectangle: l•w
Area of Triangle: 1/2bh
Rectangle:
20 cm • 15 cm = 300 cm²
Triangle:
1/2(12)(15)
1/2(180)
90 cm²
Entire Shape:
300 cm² + 90 cm² = 390 cm²
Three semicircles are placed in a rectangle, as shown below. The width of the rectangle is 11m. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer.
Answer:
para Es que yo soy español y no te entiendo
Is the figure an example of parallel lines?
Yes, the lines intersect.
Yes, the lines do not intersect.
No, the lines intersect.
No, the lines do not intersect.
Answer:
No,the lines intersect
Sponsoring a donkey costs £2 a month. Which calculation will help Beth work out how many years she can sponsor a donkey for with £80. A) 80-2 X 12 B) 80/2 X 12 C) 80/12 ÷ 2. D) 12 X 2 ÷ 80
Answer:
B
80/2×12 becouse one year it costs 12×2 since its 12 months .
If 20% of a number is 60 and 55% of the same number is 165, find 75% of that
number.
(Please be quick :) )
Answer:
300
Step-by-step explanation:
hope this helps!!!!
Answer:
225
Step-by-step explanation:
Hope this helps:)
ANSWER QUICK PLEASE!!
The horizontal axis found on the coordinate plane is the y-axis.
true or false?
Answer:
True
Step-by-step explanation:
Answer:
false! y-axis is up and down. x-axis is side to side
Step-by-step explanation:
Hannah put $2,000 in a savings
account. After 2 years she earned
$180 in simple interest. What was her
interest rate?
Answer:2000/180=11.11 p
Step-by-step explanation:
mark brainliest
How likely is it that the spinner will land on a green space?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
4. What method can be use to prove the triangles below are congruent?
(look at the photo for answer options)
Answer:
congruent by Angle Angle Side (AAS)
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