4 liters of 20% solution are needed to get a 14% solution.
Suppose x liters of 20% solution is needed to get a 14% solution.
What is a solution?The solution is a homogenous mixture of two or more substances in relative amounts.
So, according to the question
Final concentration of solution = 14%
So, 12% of 12 + 20% of x = 14% of (12+x)
12*12/100 + 20*x/100 = 14*(12+x)/100
144 + 20x = 168 + 14x
6x =24
x=4
4 liters of 20% solution is needed to get a 14% solution.
Therefore, 4 liters of 20% solution is needed to get a 14% solution.
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Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?
Answer:
Quick answer option C
Step-by-step explanation:
the ray XZ is the angle bisector of WXY and m WXY = 125°. Enter m WXZ
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
g 3. Suppose X and Y are independent, Binomial random variables, respectively, with parameters (n1, p) and (n2, p). Calculate the frequency function of X Y .
Answer and Explanation:
Solution:
Let x and y are independent, ariables.
The parameters of x and y are (n1, p) and (n2, p), respectively.
It means the sum of the independent binomial variable is itself a binomial random variable.
Consider probability of the event [ x = n1],
Denoted by: p(x=n1)
The function:
P(n1) = p(x = n1)
Over the possible value of x say, n1, n2, n3, …, is called frequency function.
The frequency function must satisfy.
∑I p (ni) = 1,
Where the sum is possible values of x.
Similarly,
Consider probability of the event [ y = n2],
Denoted by: p(y=n2)
The function:
P (n2) = p(y = n2)
Over the possible value of y say, n1, n2, n3, …, is called frequency function.
The frequency function completely describes the probabilistic nature of the random variable.
There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?
Answer:
girls 4/9 or (Decimal: 0.444444) percent is 44.4%
boys 5/9 or (Decimal: 0.555556) percent is 55.5%
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
Suppose y = 2x – 2.5. Find x if y = 10.
5. The total number of people who went to Disneyland this weekend was
6,405. If the ratio of boys to girls is 7 to 9 for those that attended, what was
the TOTAL number of boys and girls that went to Disneyland this weekend?
Show your work or explain your thinking.
Answer:
2,802 boys and 3,693 girls went to Disneyland this weekend
Step-by-step explanation:
System of Equations
Let's call:
b = Number of boys who went to Disneyland this weekend.
g = Number of girls who went to Disneyland this weekend.
The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:
[tex]b+g=6,405\qquad\qquad [1][/tex]
The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:
[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]
To eliminate denominators, multiply [2] by 9g:
[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]
Simplify:
[tex]9b=7g\qquad\qquad [3][/tex]
From [1]:
[tex]b=6,405-g[/tex]
Substituting into [3]
[tex]9(6,405-g)=7g[/tex]
Operating:
[tex]57,645-9g=7g[/tex]
Simplify:
[tex]16g=57,645[/tex]
Solve:
[tex]g=57,645 / 16 \approx 3,603[/tex]
Take the approximate value:
g=3,603
Find b:
[tex]b=6,405-3,603=2,802[/tex]
2,802 boys and 3,693 girls went to Disneyland this weekend
Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.
help me please thank you
Noah is finding 3/4 of 8 find his mistake and correct it
you need to show his steps or else i cant find his mistake
please hurry, i’ll give you 30 points
Answer:
I cant graph them obviously, but a is not a linear function and b is.
How do you do this question?
Answer:
B
Step-by-step explanation:
This is a ratio of polynomials. As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.
Using Limit Comparison Test:
an = (2 + 4n) / (1 + n²)⁴
bn = 4 / n⁷
lim(n→∞) an / bn = 1
The limit is greater than 0, and bn converges, so an also converges.
A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?
Answer:
The snake would equal 160cm.
Step-by-step explanation:
Correct me if im wrong plz
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
Assemble the proof by dragging tiles to the statements and reasons columns
Answer:
Here, I did the assignment. I wish you good luck!
(3+sqrt-16)(6-sqrt-64)
Answer:
12i + 9
Step-by-step explanation:
Since sqrt of negative numbers cannot exist, they are numbers followed by the letter I.
sqrt -16=4i
sqrt -64=8i
3 and 6 cannot be grouped with them, so you would add these two
3+6=9
8i+4i=12
I believe this would be the answer:
12i + 9.
Answer:
18-32i
Step-by-step explanation:
(3+sqrt(16i)(6-sqrt(64i)
= 18-32i
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The perimeter of a figure is the total length of its outline, so a sum of all its lengths.
In the diagram we are given two of them, both 7, but not the other two.
Luckily these can be easily worked out.
Since this is a square figure (all angles 90-degrees), all parallel sides will be exactly equal in length. This means both of the unknown sides are 7mi long as well. This means the total perimeter is the sum of all four sides, each of which are 7mi.
7+7+7+7 (OR 4x7) = 28 mi
Hope this helped!
Answer:
The perimeter of the figure is 28 mi
Step-by-step explanation:
Perimeter of a Square
Given a square shape of side length A, the perimeter can be found using the expression below:
P = 4*A
Recall the perimeter is the sum of all the side lengths.
Since the figure shows a square with side length A=7 mi, the perimeter is:
P = 4 * 7 mi = 28 mi
The perimeter of the figure is 28 mi
Decimal expansion for 8/11
Answer:
0.72
Step-by-step explanation:
What is the sum of the expression (8- 4 i) + (-2+7i)?
Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work
Answer:
Angle=79°
Step-by-step explanation:
Hope it helps!
Find the quotient. 0.16/-0.2
- 0.8
Simple division. Shouldn’t be that hard
PLEASEEEEEE HELPPPP!!!!
3)9.375 and 12 is )37.5
What is x = to? If you know it would be really helpful thanks
Answer:
x is 131°.
Step-by-step explanation:
Don't really know how to explain it. but I know that is what the measurement is.
Select three ratios that are equivalent to 11:1.
Choose 3 answers:
1:11
22:2
55:5
9:99
Answer:
22:2, 55:5, 1:11
Step-by-step explanation:
Answer:
22:2 55:5 and no others
Step-by-step explanation:
what is the value of x
х = 0/4
Answer:
0
Step-by-step explanation:
0 divided by anything is 0
PLZ HELP 42 POINTS IF U ANSWER I WILL GIVE BRAINEST PLEASE YA'LL What is the product?
Enter your answer as a fraction, in simplified form, in the box.
−14⋅(−611)
Answer:
0.14!
Step-by-step explanation:
Answer:
There is no way I can answer in fraction form, but here is what I calculated: 8554
3. Critique Reasoning Each side of a square patio
is 10.5 feet. The patio is made up of 1.5-foot by
1.5-foot square stones. What is the number of
stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the
problem? Explain.
10.5 X 10.5 = 110.25
110.25 = 1.5 = 73.5
Answer:
Yes
Step-by-step explanation:
Robert accepted a new job at a company with a contract guaranteeing annual raises.
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
Step-by-step explanation:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000.
Hence, The slope is 5000,
this means that for each additional year Robert works at the company, he earns 5000 more dollars.
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