Amy Rented 3 movies and 2 video games for a total of $21 the next month.
Let x represent movies be x ,
Let y represent video games be y,
3 x + 2 y = 21 -----------------equ 1
She rented 8 movies and 4 video games for a total of $49.
8 x + 4 y = 49 -------------- equ 2
Find the cost for each movie in each video game
Solving equ 1 and equ 2 , we have:
3 x + 2 y = 21 -----------------equ 1 x 2 = 6x + 4 y = 42 ------------------- equ 3
8 x + 4 y = 49 -------------- equ 2 x 1 = 8x + 4y = 49 -------------------equ 4
equ 4 minus equ 3 , we have
Which function is shown in the graph below? y = log Subscript 0.4 Baseline x
y = log Subscript 1 Baseline x
y = log Subscript 3 Baseline x
y = log Subscript 10 Baseline x
Answer:
c. y=log subscript 3 baseline x
Step-by-step explanation:
edge
Answer: the answer should be c on edg. but im not sure because you just copy and pasted it lol.
32 divided by 258.24 long devisoion
Explanation is at the top, kindly click it!!
Help me help me help me help me
Answer: 252.5
Step-by-step explanation:
Add 211+216+256+327= 1,010
Divide 1,010/4= 252.5
Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
On a number line what is the distance between -50 and 18
Answer:
sixty-eight
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
Which expression is equivalent to −30+(−40)+(−70) ?
Answer:
−30+(−40)+(−70) = -140
Step-by-step explanation:
−30+(−40)+(−70) = -140
Answer:
not what im looking for
Step-by-step explanation:
A spinner is divided into 12 equal parts. The probability of spinning an x is 3/4
How many of the parts are labeled x?
A.4
B.9
C.3
D.7
If your original biconditional statement is true, would the contrapositive be true? Give an example to illustrate your reasoning. '
Answer:
Step-by-step explanation:
es, if the original biconditional statement is true, then its contrapositive is also true.
Example: "If it rains, the grass is wet."
The contrapositive of this statement would be "If the grass is not wet, then it didn't rain."
Both the original statement and its contrapositive have the same truth value, as they are logically equivalent.
PLEASE HELLPP!!! Choose the best graph that represents the linear equation:
-x = 2y + 1
Graph A
On a coordinate plane, a line goes through (negative 1, 0) and (1, negative 1).
Graph B
On a coordinate plane, a line goes through (negative 3, negative 1) and (1, 1).
Graph C
On a coordinate plane, a line goes through (1, 0) and (5, negative 2).
Graph D
On a coordinate plane, a line goes through (negative 3, negative 2) and (1, 0).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation: just C-
Answer: Its not c
Step-by-step explanation: It is A
4068+55n/60+n=64.1 what is the value of n?
Answer:
n=212.9
Step-by-step explanation:
= 4068 + 55n/60 + n = 64.1
= 4068 + 55n = 64.1 ( 60 + n )
= 4068 + 55n = 3846 + 64.1n
= 55n - 64.1 = 3846 - 4068
= - 9.1n = 222
= -9.1n/-9.1 = 222/-9.1
n = 212.9.
Round 18.367 to the nearest hundredth
Answer:
Round 18.367 to the nearest Hundredth
= 18.37
Step-by-step explanation:
Hope that helps
How do I simplify the ratio of
42 : 28 : 21
Answer:
6:4:3
Step-by-step explanation:
each can be divided by 7
Answer:
6 4 3
Step-by-step explanation:
Find lateral surface
area of the play tent.
h = 4 in
14 in
5 in
5 in
W
6 in
Answer:
224 in.²
Step-by-step explanation:
The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.
Lateral surface area of a triangular prism = Perimeter of base × height of prism
Perimeter of base = 5 + 6 + 5 = 16 in.
Height of prism = 14 in.
Plug in the values
Lateral Surface Area = 16 × 14 = 224 in.²
explain the types of frequency distribution in statistics
The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution
What are the types of distribution?The two types of frequency distributions are;
Discrete Frequency Distribution:Grouped Frequency DistributionWhen the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.
The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.
This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.
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I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
Which expression is equivalent to (5x + 2) + (4x - 3)?
A. 6x + 2
B. 7x + 1
C. 9x - 1
D. 11x - 3
E. 20x - 6
Answer:
C. 9x-1
Step-by-step explanation:
(5x+2)+(4x-3)
5x+2+4x-3
5x+4x+2-3
9x-1
If it takes 6 people 8 hours to finish the job, how long would it take 4 people?
12 hours
If it takes 6 people 8 hours to finish a job, then 24 would take 2 hours, and then 4 would take 12 hours
Answer:
5.333 hours.
Step-by-step explanation:
Put this on a chart:
6 people = 8 hours
4 people = ? hours
To find ? Use crisscross multiplication and solve:
? = (4 * 8) / 6
? = 32 / 6
? = 5.333
Therefore, if it takes 6 people 8 hours to finish a job then it will take 5.333 hours for 4 people to finish a job.
{6x+5y=4
{6x-7y=-20
solve by elimination
Answer:
x = -1, y = 2
Step-by-step explanation:
6x + 5y = 4
6x - 7y = -20
We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:
12y = 24
Now solve normally:
y = 2
Then substitute into the first equation (or second, it doesn't matter)
6x + 10 = 4
6x = -6
x = -1
whats the place value of number 4 in the number 1 345.87?
Answer:
Tens
Step-by-step explanation:
Decimal Place Values:
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
. decimal point
tenths
hundreths
thousandths
ten thousandths
If you know the answer I will give a hundred brainist
Answer:
18.09
Step-by-step explanation:2.4x2.4, then x3.14
Answer:
answers below
Step-by-step explanation:
If you are trying to find the area the answers are:
Earth= 289.52918
Saturn=6,532.5021
The formula for area for a sphere is:
4 x pie x r2
If you are trying to find the volume the answers are:
Earth=57.90584
Saturn=46,647.01596
The formula for volume for a sphere is:
4/3 x pie x r3
Also the radius (r) is half of the diameter, so you divide the diameter by 2.
Marketing analysis determined 55% of females between the ages of 25 to 34 years old search for green technology and practice being green, as compared to 33% of men in the same age group. What is the probability that a randomly selected man between the age of 25 and 34 does not search for green technology
According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.
More can be learned about probabilities at https://brainly.com/question/14398287
NO LINKS!! Find a formula for the nth term of the geometric sequence:
7, -21, 63, . . .
a_n =
To find the formula for the nth term of a geometric sequence, we can use the formula:
a_n = a_1 * r^(n-1)
where a_1 is the first term of the sequence, r is the common ratio, and n is the position of the term.
In this case, the first term of the sequence is a_1 = 7 and the common ratio is r = (-21)/7 = -3. Plugging these values into the formula, we get:
a_n = 7 * (-3)^(n-1)
Therefore, the formula for the nth term of the geometric sequence is:
a_n = 7 * (-3)^(n-1)
Answer:
\(a_n=7\left(-3\right)^{n-1}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)
Given geometric sequence:
7, -21, 63, ...To find the common ratio, divide a term by the previous term:
\(\implies r=\dfrac{a_3}{a_2}=\dfrac{63}{-21}=-3\)
Substitute the found common ratio and given first term into the formula to create an equation for the nth term:
\(a_n=7\left(-3\right)^{n-1}\)
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
If you have 1.43 squares in your living room, how many triangles can you fit into each square? Is there a circle in each rectangle?
Answer:
2
Step-by-step explanation:
Please help quick!
8 + 3x = −13
Answer:
x=-7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Simplifying
-1(8 + -3x) = 13
(8 * -1 + -3x * -1) = 13
(-8 + 3x) = 13
Solving
-8 + 3x = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 13 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 13 + 8
3x = 13 + 8
Combine like terms: 13 + 8 = 21
3x = 21
Divide each side by '3'.
x = 7
Simplifying
x = 7
Find the median of the numbers: 5, 4, 10, 3, 3, 4, 7, 4, 6, 5.
Answer:
4.5 ywww
Step-by-step explanation:
Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adults favoring capital punishment today has increased if, in a random sample of 15 adults, 8 favor capital punishment? Use a 0.05 level of significance.
Answer:
The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.
Step-by-step explanation:
Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:
At the null hypothesis, we test if the proportion is still of 40%, that is:
\(H_0: p = 0.4\)
At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:
\(H_1: p > 0.4\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that \(\mu = 0.4, \sigma = \sqrt{0.4*0.6}\)
Random sample of 15 adults, 8 favor capital punishment.
This means that \(n = 15, X = \frac{8}{15} = 0.5333\)
Value of the test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}\)
\(z = 1.05\)
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.
Looking at the z-table, z = 1.05 has a p-value of 0.8531.
1 - 0.8531 = 0.1469.
The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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