Let amount of 15% solution be x
Amount of 65% solution is 5L
So after mixing both concentration solutions the net volume will be (5+x).
We could write the following equation:
\(\begin{gathered} 15x+65(5)=(5+x)\cdot25 \\ 15x+325=125+25x \\ 200=10x \\ x=20 \end{gathered}\)Therefore, the correct option is B. 20 liters.
Great Escape bought a vintage bicycle for $3,000. They marked it up 43.3% to sell in their store. Then, they ran a sale for 30% off. What was the discount price of the bicycle?
The discount price is $3009.3.
What is a cost?It is the amount of money spends on the creation or production of goods or services.
The cost price of the bicycle is $3000.
The marked price is given by
3000+(0.433 * 3000) = 4299
The marked price is $4299.
The discount rate is 30%.
The discount price of the cycle is given by
4299 - (0.3 * 4299) = 4299 - 1289.7 = 3009.3
Hence, the discount price of the bicycle is $3009.3.
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The prism is completely filled with 1750 cubes that have edge length of 1/5 ft.
What is the volume of the prism?
Enter your answer in the box.
_____ ft
The vοlume οf the prism is 14 cubic feet.
What is a rectangular prism?A three-dimensiοnal structure having six rectangular faces is called a prism. It is alsο knοwn as a rectangular cubοid οr a rectangular parallelepiped.
The prism is cοmpletely filled with 1750 cubes that have an edge length οf 1/5 ft. This means that the vοlume οf each cube is \((1/5)^3 = 1/125\) cubic feet.
Tο find the vοlume οf the prism, we can divide the tοtal vοlume οf the cubes by the number οf cubes:
Vοlume οf prism = (Vοlume οf οne cube) x (Number οf cubes)
Vοlume οf prism = (1/125) x 1750
Vοlume οf prism = 14 cubic feet
Therefοre, the vοlume οf the prism is 14 cubic feet.
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Help math ITS EASY IF U LOKE RATIO
You have the right one selected.
The answer is 2:1
To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.
20:10 becomes 2:1
12:6 becomes 2:1
16:8 becomes 2:1
Given m∥n, find the value of x.
Answer:
x = 11
Step-by-step explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91
(-4) (-2) +2 (6+5) if anyone knows pls tell due dates tomm for homework
Thanks,
Unknownaz05
Answer:
21
Step-by-step explanation:
(-4)(-2)+2(6+5)
(8)+2(11)
10+11
21
Hope this helps! :)
Answer:32
Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32
The equation +6=(x−9) is written in point-slope form. What is the equation written in slope-intercept form?
y = x - 15, is the equation written in slope-intercept form.
What is a straight line?A straight line is an endless line which is an one-dimensional figure that has no width. It is a combination of endless points which are joined on both sides of a point and has no curve.
here, we have,
The equation of a line which is in slope- intercept form is,
y = mx + c
Given
y + 6 = (x - 9) ← distribute
y + 6 = x - 9( subtract 6 from both sides )
y = x - 15 ← in slope- intercept form
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Harriet paid $349.65 for 7 fruit trees. If each of the trees cost the same, what is the cost for one tree?
Answer:
$49.95
Step-by-step explanation:
Since each tree costs the same, we can find the individual cost by dividing the total cost by the number of trees:
349.65/7
= 49.95
So, the cost of one tree is $49.95
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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Angle α lies in quadrant II, and tanα=−12/5. Angle β lies in quadrant IV, and cosβ=35.
What is the exact value of cos(α+β)?
Enter your answer in the box.
Answer:
Step-by-step explanation:
[-5/13] 3/5 +12+13 [-4/5 = - 63/65
Workers on a factory floor are painting one side of a circular discs that will be placed on an assembly line. For every gallon of paint, a worker can paint an area that measures 1256 ft.². If each disc has a radius of 2 feet, how many disc can they paint with 1 gallon of paint? Use 3.14 for pi
Given:
Workers on factory floor are painting one side of a circular discs that will placed on an assembly line. For every gallon of paint, a worker can paint an area that measures 1256 ft.². Each disc has a radius of 2 feet.
Required:
How many disc can they paint with 1 gallon of paint?
Explanation:
We have radius of disc 2 feet and
\(Area\text{ of disc = }\pi r^2\)Now, given every gallon of paint, a worker can paint an area that measures 1256 ft square.
So, with 1 Gallon of paint no. of discs can be paint is
\(\begin{gathered} =\frac{1256}{3.14\times4} \\ =\frac{1256}{12.56} \\ =100 \end{gathered}\)Answer:
Hence, 100 discs can be paint with 1 gallon.
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
-36 4/9 - (-10 2/9) -(18 2/9)
Answer: \(-44\dfrac{4}{9}\)
Step-by-step explanation:
The given expression: \(-36\dfrac{4}{9}-(-10\dfrac{2}{9})-(18\dfrac{2}{9})\)
Here, \(36\dfrac{4}{9}=\dfrac{36\times9+4}{9}=\dfrac{328}{9}\)
\((10\dfrac{2}{9})=\dfrac{92}{9}\\\\(18\dfrac{2}{9})=\dfrac{9\times18+2}{9}=\dfrac{164}{9}\)
That is
\(-36(\dfrac{4}{9})-(-10\dfrac{2}{9})-(18\dfrac{2}{9}) = -\dfrac{328}{9}-(-\dfrac{92}{9})-\dfrac{164}{9}\\\\=-\dfrac{328}{9}+\dfrac{92}{9}-\dfrac{164}{9}\\\\=\dfrac{-328+92-164}{9}\\\\=\dfrac{-400}{9}\\\\=-44\dfrac{4}{9}\)
What is the solution to the system of equations?
y = 0x + 3
|x = -2
[--]
[2]
[
[-2]
Mark this and return
Save and Exit
Answer:
y = 0x + 3 |x = -2
The second equation tells us that x = -2. Substituting this value into the first equation, we get:
y = 0(-2) + 3 = 3
Therefore, the solution to the system of equations is (x,y) = (-2,3).
Step-by-step explanation:
what is dynamic environment?
Answer:
A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.
Step-by-step explanation:
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.
Given:
Average daily balance for November = $700
Unpaid balance at the end of November = $1,400
Annual percentage rate (APR) = 15.6%
Step 1: Calculate the interest charged for the month of November.
Interest = (Average daily balance * APR * Number of days in the month) / 365
Number of days in November = 30
Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)
Step 2: Add the interest to the unpaid balance to get the total balance on December 1.
Total balance = Unpaid balance + Interest
Total balance = $1,400 + $36.44 = $1,436.44
Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).
The total balance on the next billing date December 1 is $1,509.20.
What is an annual percentage rate?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).
Given,
The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700
\(\sf = \$109.20\)
Balance on 1st December = unpaid balance at the end of November + percentage rate
\(\sf = $1400 +$109.20\)
\(\sf =\$1509.20\)
Therefore, the total balance on the next billing date December 1 is $1,509.20.
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Determine the prime factorization of 30
Answer:
The prime factorization of 30 is 2 x 3 x 5.
Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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Jill, Cathy, and Sandy were in line for a roller coaster ride. How many ways could they be seated if the ride held 3 people in each seat?
Answer:
6
Step-by-step explanation:
1x2x3=6
Given that f (x) = StartFraction 120 Over x squared EndFraction , What is the domain of the function f ? a. only positive integers c. only negative integers b. All non zero real numbers. d. All real numbers including zero
For the function "f (x) = 120/x²", the domain of the function "f" is (b) All non zero real numbers.
The "Domain" of a function is the set of all possible "input-values" for which the function is defined. In this case, the function is defined as:
f (x) = 120/x²
The only restriction on the input values is that the denominator cannot be equal to zero, because division by zero is undefined.
So, the domain of the function f is all non-zero real numbers.
Therefore, the correct option is (b): All non-zero real numbers.
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The given question is incomplete, the complete question is
Given that f (x) = 120/x², What is the domain of the function f ?
(a) only positive integers,
(b) All non zero real numbers,
(c) only negative integers,
(d) All real numbers including zero.
Select each expression that has a sum of 4 4/12
3 1/5 + 1 3/7
1 11/12 + 2 1/4
1 3/6 + 1 1/2 + 1 3/4
1 1/3 + 1 1/2 + 1 2/4
3/6 + 1 2/4 + 2 1/3
The expression that has a sum of 4 4/12 are as follows
1 1/3 + 1 1/2 + 1 2/43/6 + 1 2/4 + 2 1/3What is addition?Addition is on of the basic mathematical operators that has the functions of summing the required values.
This is applies in several procedure of solving mathematical problem
How to find the expressions that adds up to 4 4/12The addition can be achieved using calculator OR manually solving out using the addition of fraction
using Calculator to add all the options the two last option gave the sum that are equivalent to
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Please help will mark Brainly
Answer:
Step-by-step explanation:
Answer: A. y≥-2x+2 y<2x-7
max spent 3 and 4/5 hours playing video games on saturday. nathan spent 3 times as long as max playing video games saturday and sunday. how many hours did nathan spend playing video games than max
Answer:
7.6
Step-by-step explanation:
calculator
Consider the two functions given below. What is the y-intercept of g? A. (0,14) B. (0,4) C. (0,9) D. (0,-5)
Note: You probabily forgot to mention the two function. While after some research, I was able to find two functions based on which I would like to solve your query.
Answer:
The y-intercept of the equation will be (0, 4).
Step-by-step explanation:
Considering the assuming functions f(x) and g(x).
\(f(x) = -3x - 5\)
\(g(x) = f(x)+9\)
So,
\(g(x) = (-3x-5)+9\) ∵ \(g(x) = f(x)+9\)
\(g(x) = -3x+4\)
Now, finding the y-intercept
so putting x = 0 in function g(x)
\(g(x) = -3(0)+4\)
\(g(x) = 0+4\)
\(g(x) = 4\)
Therefore, the y-intercept of the equation will be (0, 4).
Answer:
B
Step-by-step explanation:
create an expression whose value will be 14 when X =-3
Answer: 2x + 20
Step-by-step explanation:
2x + 20
2 (-3) + 20
-6 + 20 = 14
The expression (2 * X) + 20 will have a value of 14 when X = -3.To create an expression that evaluates to 14 when X = -3, we can use a combination of arithmetic operations.
Let's start with the variable X = -3.
One possible expression is:
(2 * X) + 20
Substituting X = -3:
(2 * (-3)) + 20 = -6 + 20 = 14
Therefore, the expression (2 * X) + 20 will have a value of 14 when X = -3.
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How many 2 1/3 m lengths of rope can be cut from a rope of length 21 m?
What is the length of BC?
Answer: BC = 24
Step-by-step explanation:
Given:
AB = x+33
AC = 3x - 15
BC = x
<B = <C
Solution:
Because <B = <C, you can say the corresponding sides AB and AC are equal as well
AB = AC
x + 33 = 3x -15
48 = 2x
x = 24
Since x = BC
BC = x
BC = 24
Decide whether the data in the table represent a linear function or an exponential function explain how you know
I am giving out 45 points to whoever answers
Answer: B
Step-by-step explanation:
The data in the table represents a linear function
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.
b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.
Given;
y= 16 8 0 -8 -16
x= 1 2 3 4 5
Here, all the so components in x are multiple of 8
Therefore, data shown will be a linear function.
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Allan bought a rug shaped as a semicircle that has a radius of 4 yards. What is the circumference of the rug? Plz answer
pls help skakakakakakkaakakakakakakakakak
Step-by-step explanation:
slope= -1/2
y intercept= 2
y=mx+b
m is the slope and b is the y intercept.
9514 1404 393
Answer:
slope: -1/2y-intercept: 2Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx + b
where m represents the slope, and b represents the y-intercept. To find the slope and y-intercept of your equation, compare it to this form. Matching the patterns, you see that ...
m = -1/2
b = 2
The slope is -1/2; the y-intercept is 2.
__
The graph can be made by locating the y-intercept at y=2 on the y-axis. Then locate another point that is over 2 and down 1* from the y-intercept. The coordinates of that point will be (2, 1). Draw the line through those two points.
_____
* The slope is often described as "rise"/"run", that is, the vertical change (rise) divided by the corresponding horizontal change (run). A slope of -1/2 means the "rise" is -1 units (down 1) while the corresponding "run" is 2 units (to the right).
The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 salespeople in Washington made over a certain year. Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54 Washington: 42, 43, 56, 50, 49, 52, 53, 56 Assuming that the populations sampled can be approximated closely with normal distributions having the same variance, is there a difference in the number of sales between the Florida salespeople and the Washington salespeople?
Find s^2p (round off to the nearest integer)
Answer:
There is no difference in the number of sales between The Florida salespeople and Washington salespeople
Sp^2 = 39
Step-by-step explanation:
Given data :
Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54
Washington: 42, 43, 56, 50, 49, 52, 53, 56
number of sales persons in Florida = 9
number of sales persons in Washington = 8
variance = constant
a)Determine if there is difference between the Florida salespeople and Washington salespeople
we will carry out a two tailed test based on the given data
H0 : u1 = u2
H1 : u1 ≠ u2
x ( mean ) = 46.77, y ( mean ) = 50.13 ,
s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8
therefore :
Sp^2 = \(\frac{n1s1^2 + n2s2^2}{n1 + n2-2}\) = 38.96 ≈ 39
performing test statistic
t = \(\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }\) = \(\frac{-3.36}{3.0330}\) = -1.1078
critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales