Answer:
42%
Step-by-step explanation:
x is for the volume of the container
the amount filled in the first container=0.30x
the volume of the first container + 50% of the second=(x+x*50%)=1.5 x
the amount of acid in the second container= 1.5x * 50%=0.75x
total amount of acid in the third one =0.3x+0.75x=1.05x
total solution : x+1.5x=2.5x
percentage=1.05x/2.5x= 0.42 or 42%
What is the recursive rule for this geometric sequence? 1/2 ,−2, 8, −32,
Answer:
an = an-1 * -4
Step-by-step explanation:
First we need to find the common ratio
r = second term / first term
= -2/ (1/2) = -4
The recursive formula is
an=an−1 * r
an = an-1 * -4
A machine in a shoe factory produces shoelaces. The number of shoelaces it produces is proportional to the time. It car
produce twelve shoelaces in three minutes. Write an equation to represent this proportional relationship. In your
answer, make sure to define the variables you used.
Answer:
s = 4t
Step-by-step explanation:
Let number of shoelace produced be S and time taken to produce then be T
If the number of shoelaces it produces is proportional to the time, this can be expressed using a direct relationship as:
S∝T
S = kT where
k is the proportionality constant
If 12 laces of shoes can be produced in 3 minutes, then S = 12 and T = 3
The relationship above on substitution becomes
12 = 3k
k = 12/3
k = 4
If the proportionality constant is 4, then the equation representing the relationship will be:
s = 4t
please mark me brainliest!
Answer: y = 4x (y = shoelaces & x = minutes)
Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).
A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size rectangle contains exactly 100 squares? Is there more than one? Can you find them all? Can you prove there are no more?
Answer:
The rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8
Step-by-step explanation:
The given parameters are;
A 2 by 3 rectangle contains 8 squares
A 3 by 4 rectangle contains 20 squares
A 4 by 6 rectangle contains 50 squares
We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;
2 by 3 rectangle contains 8 squares
3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4
4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5
The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);
Column, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Row
1
2
3
4
5
6
7
8
9
10
11
It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2
From the matrix, the rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.
What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81
Answer:
a₁ = 1; r = 3
Step-by-step explanation:
a₁ represents the first term. It is 1 in this case.
r represents the common ratio between terms. In this case it's 3 / 1 = 3.
Answer:
a1 = 1
r = 3
Step-by-step explanation:
a1 = first term = 1
r = common ratio = 2nd term/1st term
= 3/1
r = 3
Shaun's dog weighs 22One-fourth pounds. The vet suggested that it would be a good idea for his dog to get more exercise, so Shaun walked her an extra mile every day. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound. How much does the dog weigh now?
Answer:
The weight of Shanu's dog now is 21.375 pounds.
Step-by-step explanation:
We are given that Shaun's dog weighs 22 One-fourth pounds. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound.
And we have to find the weight of the dog after exercise.
The Original weight of Shaun's dog = [tex]22 \frac{1}{4}\text{ pounds}[/tex]
Converting the above mixed fraction into an improper fraction we get;
[tex]22\frac{1}{4} = \frac{(22 \times 4)+1}{4}[/tex]
= [tex]\frac{89}{4} \text{ pounds}[/tex]
Now, it is stated that after walking an extra mile every day, Shanu's dog lost Seven-eighths of a pound, that is = [tex]\frac{7}{8} \text{ pound}[/tex]
So, the weight of Shanu's dog now = Original weight - Weight after exercise
= [tex]\frac{89}{4}-\frac{7}{8}[/tex]
Making denominator same for both the fractions;
= [tex]\frac{89\times 2}{4\times 2}-\frac{7\times 1}{8\times 1}[/tex]
= [tex]\frac{178}{8}-\frac{7}{8}[/tex]
= [tex]\frac{178-7}{8}[/tex]
= [tex]\frac{171}{8}[/tex] = 21.375 pounds.
Hence, the dog weigh 21.375 pounds now.
WILL GIVE BRAINLEIST!!!
Answer:
40
Step-by-step explanation:
Once you plot the data, the middle values will be 39 and 41. To calculate the median, you add them up and divide by two, which will result in 40!
Median is the middle value.
Write the numbers out from smallest to largest:
35, 38, 38, 39, 39, 41, 42, 43, 43, 44
There are 10 total numbers, find the middle two:
39 and 41
Add them Together and divide by 2:
39 + 41 = 80
80/2 = 40
Median = 40
What is the sixth term of a_(n)=-3*2^(n+1)?
Answer:
-3
Step-by-step explanation:
Answer:
[tex]-384[/tex]
Step-by-step explanation:
n = 6 (6th term)
[tex]-3* 2^{6+1}[/tex]
[tex]-3* 2^{7}[/tex]
[tex]=-384[/tex]
Work out 97 % of £ 970.92 Give your answer rounded to 2 DP.
Answer:
Not rounded:
97% of 970.92 = 941.7924
Rounded to maximum 2 decimals:
97% of 970.92 ≈ 941.79
Step-by-step explanation:
Find the values of the variables and the measures of the angles
Answer:
x = 13
39° and 51°
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
This is a right angle triangle, so one side has a size of 90 degrees.
3x + 4x - 1 + 90 = 180
7x + 89 = 180
7x = 91
x = 91/7
x = 13
Put x as 13 to work out the size of the angles.
3(13) = 39
4(13) - 1
52 - 1 = 51
Answer:
[tex]x = 13 \\ [/tex]
Measure of the angles
[tex]39 \: \: degrees \\ 51 \: \: degrees[/tex]
Step-by-step explanation:
sum of the interior angles in a triangle= 180°
[tex]3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\ \frac{7x}{7} = \frac{91}{7} \\ x = 13[/tex]
x = 13,
now lets work out for the angles
[tex]3x \\ 3 \times 13 \\ = 39[/tex]
[tex]4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\ = 51[/tex]
mr rai bys a radio for rs 1880ans sell it to mr Sherpa at 20 percent .how much money does he pay for it
Answer:
Rs 1504
Step-by-step explanation:
Mr. Rai buys for Rs 1880.
He sells it to Mr. Sherpa at 20% discount.
1880 × 20%
= 376
1880 - 376
= 1504
Mr. Sherpa buys it for Rs 1504.
Answer:
Mr. Rai will be receiving $1504 if he sells the radio for 20%.
Step-by-step explanation:
To find a discount, move the decimal over twice on the percentage. After doing this, multiply that number by the original number. You will get a new number. Subtract the price by the new number and there is your answer.
For Example:
20% = .20
1880*.20= 376
1880-376= 1504
There is a simpler way of doing this as well. Multiplying by .8 (which is the remainder of 100% after taking away 20% if this makes sense) will give you the answer immediately. Hopefully this helps.
Good luck!
Show your work!! *grade 9 math work*
Answer:
A = 5x · (3x + 7)
= 5x(3x) + 5x(7)
= 15x² + 35x meters
Answer:
15x^2+35x
Step-by-step explanation:
As the area formula is L*W, you're essentially doing the same thing here by multiplying both of these sides to get your area expression.
Take 5x and use the distributive property to multiply it with 3x+7 to get 15x^2+35x.
Can you answer these boxes? It's fractions and powers
Answer:
e^4 d^2
-------------------------
b^3
Step-by-step explanation:
b^-3 c^0 d^2
-------------------------
e^-4
Negative exponents flip positions
e^4 c^0 d^2
-------------------------
b^3
c to the zero power is 1
e^4 d^2
-------------------------
b^3
Answer:
d^2 e^4
--------------
b^3
Step-by-step explanation:
i need help with this ASAP
Answer:
a) 2.5x + 5 b) $5
Step-by-step explanation:
We know that the rate is 2.50 an hour, and she parked for 4 hours. Multiply 2.5 by 4 to get 10. This means that she spent 10 out of 15 of her dollars on the rate, meaning the initial fee was 5 dollars.
Answer:
a. y = 2.5x + 5
b. $5
Step-by-step explanation:
y = mx + b
m = slope is the fee per hour
b = y-intercept is the fixed fee
y = 2.5x + b
We know that she paid $15 for 4 hours, so we have point (4, 15). We now replace x and y in the equation with 4 and 15, respectively, and solve for b.
15 = 2.5(4) + b
15 = 10 + b
b = 5
a. The equation is:
y = 2.5x + 5
b. The initial fee is $5
Please answer this question fast in two minutes
Answer:
132 degree
Step-by-step explanation: angle kjh is 132 degree and since lk is a straight line it is 180 degree. angle kjh is 132 degree so, angle LJM is 132 degree. This is because adjacent angles are equal as you can see, Angle LJM is adjacent to Angle KJH.
What is the multiple zero and multiplicity of f(x) = (x – 1)(x – 1)(x + 7)?
The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
f(x) = (x – 1)(x – 1)(x + 7)
We can write it as:
f(x) = (x – 1)²(x + 7)
Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.
Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.
Learn more about Polynomial here:
brainly.com/question/17822016
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Can a function have a repeating input
Answer: It Depends
Explanation: Generally, your answer would be no because if you have a repeating input, you usually have a different output for that specific repeating input which would not make it a function.
However, a function can have a repeating input if the same input is paired with the same output and this is listed twice so it's still a function since each input pairs with a unique output.
However, if the input appears more than once, you must check to see whether the output is the same or different.
how do i find the value of x?
Answer:
the alphabet.
Step-by-step explanation:
f^3 + 11g - 4h when f = 3 g =2 and h = 7
Answer:
21
Step-by-step explanation:
f³ + 11g - 4h
Put f as 3, g as 2, and h as 7.
(3)³ + 11(2) - 4(7)
Solve the exponent and multiply.
27 + 22 - 28
Add or subtract.
= 21
Answer:
[tex] = 21[/tex]
Step-by-step explanation:
Given that,
[tex]f = 3 \\ g = 2 \\ h = 7[/tex]
Let's solve now,
[tex] {f}^{3} + 11g - 4h \\ {3}^{3} + 11 \times 2 - 4 \times 7 \\ 3 \times 3 \times 3 + 22 - 28 \\ 9 \times 3 + 22 - 28 \\ 27 + 22 - 28 \\4 9 - 28 \\ = 21[/tex]
use calculator to work out: (1dp) 28/2.8
Answer:
10
Step-by-step explanation:
28/2.8
280/28
= 10
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\textbf{The best thing to understand how to get the answer to this}\\\large\textbf{fraction or equation (whatever you would like to call it),}\\\large\textbf{you have to either to DIVIDE the numerator from the}\\\large\textbf{denominator or even convert the fraction to a division}\\\large\textbf{problem. I will show you what I meant, when we solve for}\\\large\textbf{the answer.}\\\\\\\large\textbf{We make your equation into a division problem since it is}\\\large\textbf{easier to solve now.}[/tex]
[tex]\\\\\\\large\textbf{Now, let's solve for the answer. }[/tex]
[tex]\large\textbf{Your equation: }\rm{\bf \dfrac{28}{2.8}}\\\\\large\textbf{Conversion of your equation: }\rm{\bf 28\div 2.8}\\\\\large\textbf{Simplify the conversion problem above}\\\\\large\textbf{You should have gotten the result: \boxed{\rm{\bf 10}}}[/tex]
[tex]\large\textbf{Now, let's see if the result if true by doing the OPPOSITE}\\\large\textbf{of division... which is multiplication. So we will take the}\\\large\textbf{denominator (the bottom number) which is, 2.8 and}\\\large\textbf{multiply it by the result you got from the division}\\\large\textbf{problem, which is 10.}[/tex]
[tex]\rm{\bf 2.8 \times \boxed{\bf 10}}\\\\\large\textbf{Work it out if you remembered the steps of multiplication.}\\\\\large\textbf{You should've gotten \boxed{\textsf{28}}}\\\\\large\textbf{So, yes \boxed{\textsf{10}} is your result to this equation,}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{10}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& }\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Click on the graphic to select the figure that would make the following a reflection in line k
I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.
I hope I helped. Stay safe and God bless!
- Eli <3
Answer:
The First One
Vote for Brainless
which is the completely factored form of 12x^3-60x^2+4x-20
Answer:
4(x-5)(3x² +1)
Step-by-step:
Add and subtract the second term to the expression and factor by grouping.
Hope this helps!
Find the perimeter of the polygon with the vertices U(−2, 4), V(3, 4),U(−2, 4), V(3, 4), and W(3,−4)W(3,−4).
Answer:
Perimeter = 22.434
Step-by-step explanation:
To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:
The formula for the distance between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
side UV:
[tex]UV = \sqrt{(-2 - 3)^2 + (4 - 4)^2} = 5[/tex]
side VW:
[tex]VW = \sqrt{(3 - 3)^2 + (4 - (-4))^2} = 8[/tex]
side UW:
[tex]UW = \sqrt{(-2 - 3)^2 + (4 - (-4))^2} = 9.434[/tex]
So the perimeter is:
[tex]P = UV + VW + UW[/tex]
[tex]P = 5 + 8 + 9.434 = 22.434[/tex]
What is cos 45º?
See picture for more details
Answer:
C. 1/√2
Step-by-step explanation:
cos∅ is adjacent over hypotenuse:
cos45° = 1/√2
cos45° = √2/2
Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2
Answer:
C.
Step-by-step explanation:
Angle JKL is a right angle. The measure of the angle JKM is 65. The measure of angle MKL is x . What is the value of x?
Answer:
25
Step-by-step explanation:
angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.
The angle MKL is equal to 155 which corresponds to the value of x=155.
What is right angle?
The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.
How to find the value of one angle when the value of two angle is given?In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.
From the figure we can see that,
MKL=JKL+JKM
=90+65
=155 degree
Hence the value of x is equal to 155 degree.
Learn more about angles at https://brainly.com/question/25716982
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Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below: Which expression should follow the subtraction in Hallie’s equation?
1(l + w)
2(l – w)
3(l+w/4)
4(l-w/2)
Answer:
1.( l+w)
Step-by-step explanation:
The complete question is given below
Her partial work is shown below: p = 4l + 4w + 4h
= l + w + h
h =
Which expression should follow the subtraction in Hallie’s equation?
h=l+w
Answer is 1. (l +w)
In a school of 685 students, there are 385 students involved in sports teams, and there are
450 involved with the music program. There are 87 students that are not involved in either
program. There are some students involved in both programs.
a) Draw a Venn diagram to represent this situation.
b) Use the additive principle of non-mutually exclusive sets to determine the number of
students that are involved in both team sports and music
C) use the addictive principle for the probability of non-mutually exclusive events to determine the probability of a student being involved in team sports or involved in music
Answer:
A) check attached picture
B) 272
C) 0.4478
Step-by-step explanation:
From the information given ;
A) The Venn diagram of the information can be found in the attached picture.
B) Number of students involved in both team sports and music.
n(student in sports team) = 385
n(students involved in music) = 450
Number of students involved in both music and team sport = y
Number of students not involved in either team sport or music = 87
Total number of students = 650
Therefore,
n(music alone) = 450 - y
n(team sport alone) = 385 - y
Adding the following:
n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students
450 - y + 385 - y + y + 87 = 650
922 - y = 650
922 - 650 = y
y = 272
Therefore, number of students involved in both music and team sport = 272
C) probability of being involved in team sport or in music.
P(being involved in music) = (450 - 272) / 650 = 0.2738
P(being involved in team sport) = (385 - 272) / 650 = 0.1738
P(involved in both) = 272 / 650 = 0.4184
P(involved in neither) = 87 / 650 = 0.1338
P(being involved in team sport) or p(being involved in music)
P(being involved in team sport) + p(being involved in music)
0.1738 + 0.2738 = 0.4478
SWAN85 help me baby please help me BABY!!!!!!!
Answer:
y=2
second page it is A
Step-by-step explanation:
y=2
second page it is A
Answer:
y=2
the first line
Step-by-step explanation:
Horizontal line when value of y is constant:
y=2 is required optionPoints
A (-5, -1), B(-2, 3), C(0, -1), D(4, -2), E(5, 1)
It matches the first lineSolve I=PRT for P if I=312.50, r=25%, and T=0.25
Answer: I = $ 19.53
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 25%/100 = 0.25 per year,
then, solving our equation
I = 312.5 × 0.25 × 0.25 = 19.53125
I = $ 19.53
The simple interest accumulated
on a principal of $ 312.50
at a rate of 25% per year
for 0.25 years is $ 19.53.
Answer:
P = 5000
You need to multiply r and T together, then divide 312.50 by that.
A soccer team scores 12 points in 5 matches. They scored the same number of points in each of their first 3 matches and one more point in each of their last 2. How many points did they score in each match?
Answer:
2 points the first 3 matches then 3 points the last 2 matches
Step-by-step explanation:
12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point
They got 2 points the first 3 matches then 3 points the last 2 matches
2 + 2 + 2 (first 3 matches) = 6
3 + 3 (last 2 matches) = 6
6 + 6 = 12
please solve 15/20 x 1/4
Answer:
3/16
Step-by-step explanation:
All we have to do is multiply the top with the top and the bottom with the bottom:
15(1) = 15
20(4) = 80
15/80
We have our answer, but we can simplify it by dividing top and bottom by 5:
15/5 = 3
80/5 = 16
We have our final answer, 3/16.
Answer:3/16
Step-by-step explanation:15/20 x 1/4
The numerator (the upper number) would divide the denominator (the lower number) or the denominator would divide the numerator.
15/20 x 1/4
15 and 20 have something in common which is 5.so 5 in 15 is 3,5 in 20 is 4
15/20 x1/4
3/4 x 1/4
= 3/16