Answer:
y = 4x + 5
Step-by-step explanation:
Use point-slope formula to plug in the known point and slope.
[tex] \large \red{\frak{ Question}}[/tex]
The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000. The difference of their salaries is ₹2000. If B’s salary is less than that of A, then what is the salary of B (in ₹)?
(a) 8000 (b) 2000
(c) 6000 (d) 12,000
[tex] \pink{ \dag \: \large\sf{ With \: Explanation }}[/tex]
[tex] \blue{ \dag \: \large\sf{No Spam }}[/tex]
Answer:
[tex] \sf \: \fbox{Option C) \: The salary of B is 6000₹}[/tex]
Step-by-step explanation:
Let the salary or A is x and salary of B is y.
now,
Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.
writing above statement in equation form,
[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000[/tex]
Multiplying above equation with twelve,
[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1[/tex]
and condition two,
The difference of their salaries is ₹2000
[tex] \sf \: x - y = 2000[/tex]
Multiplying above equation with 20
[tex] \sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2[/tex]
On adding equation 1 and equation 2,
[tex] \sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}[/tex]
Substituting the value of x in,
[tex] \sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}[/tex]
[tex] \sf \: \fbox{The salary of B is 6000₹}[/tex]
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I really need help like fast please
Answer: I'm pretty sure the measure is 122 degrees
Step-by-step explanation:
A consumer survey conducted in two consecutive years found that a fixed basket of goods and services cost $36.00 in year 1 and $36.75 in year 2 the inflation rate from year 1 to year 2 is
Answer:
2.08 %
Step-by-step explanation:
(36.75 - 36.00) / 36.00 = .0208 = 2.08 %
To advance in a computer game, players need to open a door by choosing one number
on each of the dials. What is the probability that
the combination starts with 8?
Answer:
1/3 or 33.3333...%
Step-by-step explanation:
My understanding of this situation is that each dial represents a number in the combination. In order for the combination to start with 8, the first dial needs to land on 8. Since there are three numbers on the dial, the probability that the combination starts with 8 is 1/3. Hope I helped :)
ILL GIVE BRAINELST
If the area of C is
400 ft2 and the
perimeter of B is 64 ft,
what is the side length
of square A?
Answer:
A = 12 ft
Step-by-step explanation:
Perimeter ( of SQUARE) B = 64
then each side = 64/4 = 16
AREA of SQUARE C = 400
side X side = 400
then side = sqrt 400
Now use Pyhtagorean Theorem to find leg of right triangle that is
side A Side B hypotenuse Side C
A^2 + 16^2 = (sqrt 400)^2
A^2 = 400 - 256
A^2 = 144 then A = 12 Ft
what is 5/12 - 1/3 = in simplest form
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
See picture below for explanation:
Passengers on many commercial flights may make calls from a telephone provided
by the airline. On a certain airline, a call costs $3 to connect plus $2 for each
minute. Which linear equation best represents c, the total cost for a call that lasts m
minutes?
Answer:
c = 3 + 2m
Step-by-step explanation:
Let c = total cost of call (in dollars)
Let m = number of minutes
Given:
Connection fee = $3Cost per minute = $2⇒ c = 3 + 2m
Which series of transformations occurred to move the blue figure to the red figure? a translation and then a reflection
a reflection and then a 180-degree rotation about the origin
a 90-degree rotation counterclockwise about the origin and then a reflection
a reflection and then a reflection
Answer:
A translation and then a reflection
Step-by-step explanation:
A translation of 5 to the left, and then a a reflection across the x axis.
HHHHHHEEELLLLPPP MMMEEE
Given the system of linear equations:
{y= -5 y=3x -2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from Part B.
QUESTION 1
the solution is (-1,-5)
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
-y=5
y=3x-2
0=3x+3
3x=-3
x=-3/3
x=-1
Then, we use this value to find the other one
y=3x-2
y=3(-1)-2
y=-3-2
y=-5
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
x+6y=6
-6y=-2x+12
x=-2x+18
x+2x=18
x=18/3
x=6
Then, we use this value to find the other one
x+6y=6
6+6y=6
6y=6-6
y=0/6
y=6
Therefore, the solution is (6,0),
Help me asap …………..p
Answer:
1.) Tan C = [tex]\frac{12}{5}[/tex]
2.) Sin Z = [tex]\frac{24}{26}[/tex] or [tex]\frac{12}{13}[/tex] if reduced
3.) Cos A = [tex]\frac{15}{17}[/tex]
4.) Cos A = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
Let's keep in mind that;
Sin = [tex]\frac{opposite}{hypotenuse}[/tex]
Cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan = [tex]\frac{opposite}{adjacent}[/tex]
Hope this helps!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theat geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater, MAD of 3.15
In which class were his scores the closest together?
geography
math
theater
English
Using it's concept, it is found that due to the lowest Mean Absolute Deviation, his scores were closest together in Math.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean. Hence, lower values of the MAD means that the distribution is closer together.Of the four classes, Math was the lower MAD, hence it has the scores that are closest together.
More can be learned about the Mean Absolute Deviation at https://brainly.com/question/3250070
The mark up price of a pair of shoes which costs $245.00 is 5.75%. a)What is the final price? If the tax is 5 3/4 % How much will be paid for that pair of shoes?
The mark up price of the shoe would increase the final price
The final price of the shoe is $259.0875The final price of the shoe after tax is $273.98503125The final price of the shoeThe given parameters are:
Cost = $245.00Mark up price = 5.75%The final price is calculated using:
Final = Cost * (1 + Mark up)
This gives
Final = 245* (1 + 5.75%)
Evaluate
Final = 259.0875
Hence, the final price of the shoe is $259.0875
The final price of the shoe, after taxIn (a), we have:
Final = 259.0875
Given that the tax is 5 3/4%, the final price after tax would be
After tax = Final * (1 + Tax)
So, we have:
After tax = 259.0875 * (1 + 5 3/4%)
Evaluate
After tax = 273.98503125
Hence, the final price of the shoe after tax is $273.98503125
Read more about mark up at:
https://brainly.com/question/1153322
A couch went on a 16% off sale. The sale price is given as $1008. What was the original price of the couch?
Answer:
1200 dollars
Step-by-step explanation:
x-0.16x=1008
.84x=1008
x=1200 dollars
Find the equation of an exponential function of the form y = ab^x that passes through the points (3,13.5) and (5,30.375).
Let's see
y=ab^xCheck coordinates
13.5=ab³-(1)Find a
a=13.5/b³---(2)And
30.375=ab⁵Put value from second one
30.375=13.5b⁵/b³30.375=13.5b²b²=2.25b=1.5Put in second one
a=13.5/b³a=13.5/1.5³a=13.5÷3.375a=4So the equation is
y=4(1.5)^xAnswer:
[tex]y=4(1.5)^x[/tex]
Step-by-step explanation:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Given ordered pairs:
(3, 13.5) and (5, 30.375)
As the y-values are increasing, the function is increasing, so b > 1
Input the given ordered pairs into the general form of the equation:
[tex]\implies ab^3=13.5[/tex]
[tex]\implies ab^5=30.375[/tex]
To find b, divide the second equation by the first:
[tex]\implies \dfrac{ab^5}{ab^3}=\dfrac{30.375}{13.5}[/tex]
[tex]\implies b^2=2.25[/tex]
[tex]\implies b=\pm \sqrt{2.25}[/tex]
[tex]\implies b= \pm 1.5[/tex]
As the function is increasing, b > 1:
⇒ b = 1.5 only
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies a(1.5)^3=13.5[/tex]
[tex]\implies 3.375a=13.5[/tex]
[tex]\implies a=\dfrac{13.5}{3.375}[/tex]
[tex]\implies a=4[/tex]
Therefore, the final exponential equation is:
[tex]y=4(1.5)^x[/tex]
How to solve 8x+y=23
-10x-y=-27
Here,
8x + y = 23 - 10x - y = - 27
10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8
80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)
By elimination method,Equation (i) - (ii)(80x + 10y) - (-80x - 8y) = 230 - (-216)
=> 80x + 10y + 80x + 8y = 230 + 216
=> 10y + 8y = 446
=> 18y = 446
=> y = 446/18
=> y = 24.7
Putting the value of "y" in Equation (i)80x + 10y = 230
=> 80x + 10 × 24.7 = 230
=> 80x + 247 = 230
=> 80x = 230 - 247
=> 80x = -17
=> x = -17/80
=> x = - 0.21
Therefore the values of "x" and "y" arex = -0.21 and y = 24.7
Hope it helpsRaheem runs five times a week. His route is 4 1/3 miles long. How many miles does he run each week?
Answer:
21.6666666667
If you have to round it up it is 22.
Step-by-step explanation:
If he runs 5 times a week and his route is 4 1/3 then he runs that five times a week you do 5x4 1/3 and that is how you get your answer
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
The drug Lipitor is meant to lower cholesterol levels. In a clinical trial of 800 patients, 5% reported headaches.
Construct a 90% confidence interval estimate of the proportion of Lipitor users who will report headaches as a side effect. NO explanation needed or will be reported.
Using the z-distribution, it is found that the 90% confidence interval estimate is given by (0.0373, 0.0627).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The sample size and the estimate are given, respectively, by [tex]n = 800, \pi = 0.05[/tex].
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0373[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0627[/tex]
The 90% confidence interval estimate is given by (0.0373, 0.0627).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Jenna surveyed her friends, asking each of them, "How many times have you been to the aquarium?" The resulting data set has a distribution that can be described several ways.
Select from the drop-down menus to correctly complete the statements about the distribution.
The distribution can be described by its shape. If there are more higher values than lower values, the distribution is skewed
Choose...
.
The distribution can be described by its center. If the distribution is skewed left or right, the
Choose...
is an accurate measure of center.
The distribution can be described by its spread. If the data set does not have an outlier, the
Choose...
is an accurate measure of spread.
In the research, the distribution is described by its shape. If there are more higher values than lower values, the distribution is skewed left.
How to illustrate the research?It should be noted that when the distribution of data is skewed to the left, the mean is less than the median.
The distribution can be described by its center. If the distribution is skewed left or right, the median is an accurate measure of center.
The distribution can be described by its spread. If the data set does not have an outlier, the interquartile range is an accurate measure of spread.
Learn more about research on:
https://brainly.com/question/25257347
Answer:
left, median, and range or the IQR
Step-by-step explanation:
A 12 sided die is rolled find the probability of rolling a two
Answer:
1/12
Step-by-step explanation:
so we know the total you have is a 12 dice cube yes? yes.
there fore you denomanator is the the total of everything-12.
there's only 1 #2 on the 12 sided dice this cause you to get 1/12
Pls help I need it quickly thanks
Answer:
56n thats what ben said
Step-by-step explanation:
hohoho corent answer
What type of triangle can an equilateral be?
isosceles triangle
right triangle
acute triangle
obtuse triangle
Answer:
Acute triangle
Step-by-step explanation:
Find the volume will give brainlest
Find the length of the unknown side round your answer to the nearest 10th
Triangle in picture above ☝️
Answer:
72.8
Step-by-step explanation:
Which fractions are equivalent to the value of
2
10
+
20
100
? Drag and drop the fractions into the box.
Lets see
2/10+20/1002/10+2/102+2/104/102/5Answer:
thanks just needed points
Step-by-step explanation:
What is the value of(-4)(-4)(-4)
Answer:
-64
Step-by-step explanation:
-4x-4x-4
1. Daniel needs to add a fence around the apartment swimming pool. The pool is 25 ft. by 20 ft., and the owner wants the fence to be 4 feet from the poolside. How many feet of fencing will Daniel need? (1) 45 (2) 90 (3) 98 (4) 106 (5) 122
Answer:
(5) 122 feet
Step-by-step explanation:
Perimeter of fencing:
[tex]2((25 + 4 + 4) + (20 + 4 + 4))[/tex]
[tex]2(33 + 28) = 2(61) = 122[/tex]
Find the value of angle W
Answer:
w = 73°
Step-by-step explanation:
The relations involved in solving this figure are ...
linear pairs are supplementarythe angle sum for the quadrilateral is 360°__
The linear pair at lower left gives us a relation we can solve for x:
x +(3x -24) = 180
4x = 204
x = 51
Then the sum of angles inside the quadrilateral is ...
w +(x +15) +(2x -10) +(3x -24) = 360
w +(51 +15) +(2(51) -10) +(3(51) -24) = 360
w +66 +92 +129 = 360
w = 360 -287 = 73
Angle W is 73°.
_____
Additional comment
The remaining angles are supplementary to those inside the quadrilateral:
v = 180° -w = 107°
y = 180° -92° = 88°
z = 180° -66° = 114°
x = 51°
Nevada is almost twice the size of which country?
A. Algeria
B. Mauritania
C. Kenya
D. Democratic republic of the Congo
Please help me
Find the measures of angles 1 and 2. If necessary, round to the tenths place. Hint: Do not assume that Point D is the center of the circle. A. mZ1 = 20° m2 = 20° B. m2 = 40° m2 = 140° C. ml = 82.5° mZ2 = 97.50 D. m1 = 97.5° m2 = 82.5°
Answer:
C. m<1 = 82.5 m<2 = 97.5
Step-by-step explanation: