Answer:
x=[tex]\frac{y+1}{7}[/tex]
Step-by-step explanation:
Hi there!
We want to make x the subject of the formula, which means to solve the formula for x
Here is the given formula:
y=7x-1
Our ultimate goal is to isolate x onto one side
Start by subtracting 7x from both sides
y-7x=-1
Subtract y from both sides to remove it from the left side
-7x=-y-1
Divide both sides by 7
x=[tex]\frac{-y-1}{-7}[/tex]
Simplify (factor -1 out of the numerator and denominator, then cancel it out)
x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]
x=[tex]\frac{y+1}{7}[/tex]
Hope this helps!
Answer:
x = 1/7(y+1)
or
x = 1/7 y + 1/7
Step-by-step explanation:
y= 7x-1
Solve for x
Add 1 to each side
y+1 = 7x-1+1
y+1 = 7x
Divide each side by 7
1/7(y+1) = 7x/7
1/7y + 1/7 =x
divide a sum of rs 1110 between A,B and C so that for every rs 8 given to A,B may get Rs 5 and for every Rs 7 given to B ,C may get rs 4
In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.
Sum of 1110 between A, B and C:
This means that:
[tex]A + B + C = 1110[/tex]
For every rs 8 given to A,B may get Rs 5
This means that:
[tex]\frac{A}{B} = \frac{8}{5}[/tex]
And thus:
[tex]5A = 8B[/tex]
[tex]A = \frac{8B}{5}[/tex]
For every Rs 7 given to B ,C may get rs 4
This means that:
[tex]\frac{B}{C} = \frac{7}{4}[/tex]
And thus:
[tex]7C = 4B[/tex]
[tex]C = \frac{4B}{7}[/tex]
Amount of B:
Replacing into the original equation:
[tex]A + B + C = 1110[/tex]
[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]
[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]
[tex]111B = 1110*35[/tex]
[tex]B = \frac{1110*35}{111}[/tex]
[tex]B = 350[/tex]
Amounts of A and C:
A and C are given as functions of B, so:
[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]
[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]
Thus:
The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.
For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:
1) Divide a sum of RS 1110 between A, B, C:
[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1
2) So that for every RS 8 give to A, B may get RS 5:
[tex]\frac{a}{b} = \frac{8}{5}[/tex]
[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2
3) And for every RS 7 given to B, C may get RS 4:
[tex]\frac{b}{c} = \frac{7}{4}[/tex]
[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3
Now we solve the resulting system, the solution set of the system is:
[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Find excess weight of his luggage. 2 . Express the excess weight as a percentage of his maximum weight allowed.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
40) what is the area of a rectangular porch measuring 8 ft x 12/f
45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,
please make sure to answer both questions
30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Answer:
916.11 ft³
Step-by-step explanation:
Qualitative manpower is the most valuable assets of an organization
Answer:
True
Step-by-step explanation:
Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.
Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.
In Business management, office resources are generally grouped into five (5) main categories and these include;
I. Communication.
II. Transportation.
III. Material and office supplies.
IV. Sources of income (finance).
V. Manpower (human resources).
Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.
Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.
This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
I believe its negative nonlinear association
Step-by-step explanation:
The line is going down so its definitely negative
And the line is not straight so its not linear
Therefore, its negative nonlinear association
Explain how to combine the terms 5x an 3x
Answer:
below
Step-by-step explanation:
In short, we will add both coefficients together to combine like terms.
3x + 5x → x(3 + 5) → 8x
If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.
Best of Luck!
If you rolled a die, what is the probability that you would roll a 3 or a 9? Give your answer as a simplified fraction.
P(3 or 9) =
Answer: P (3 or 9) = 1/6
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of 9 = 0
P (3 or 9) = Favorable / Total (refer to the attachment below)
P (3 or 9) = (1 + 0) / (6)
P (3 or 9) = 1 / 6
Hope this helps!! :)
Please let me know if you have any questions
Hi, just need help with this graph problem.
Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
From the Rule y = -4x+1 fill in the following table
Answer:
y: 1, -3, -7, -11, -15
Step-by-step explanation:
Substitute the value of x in the chart for the formula given:
y = -4x + 1
For the first column in the x-row, do the following
y = -4(0) + 1
y = 1
And...
y = -4(1) + 1
y = -3
And so on.
How do you fine the answer ? Help me pls
Answer:
130
Step-by-step explanation:
The inequalities x < -5 and -X > -5 are the same.
True
False
QUESTION-:
The inequalities x < -5 and -X > -5 are the same.
True
False
ANSWER-:
FALSE
!! HOPE ITS HELP U !!
james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
HOPE IT HELPS YOU
MARK ME BRAINLIEST
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.
A 3-column table with 8 rows. The first column is labeled day 1 lap times (seconds) with entries 83, 92, 91, 89, 94, 93, 88, 84. The second column is labeled day 2 lap times (seconds) with entries 87, 90, 92, 91, 92, 95, 90, 85. The third column is labeled day 3 lap times (seconds) with entries 85, 86, 91, 93, 91, 89, 88, 84.
Which histogram represents Blanca’s lap times for the three days of practice?
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Answer:
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Step-by-step explanation:
The given table is presented as follows;
[tex]\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}[/tex]The number of laps in the range 82 to 84 seconds = 1
The number of laps in the range 84 to 86 seconds = 4
The number of laps in the range 86 to 88 seconds = 2
The number of laps in the range 88 to 90 seconds = 4
The number of laps in the range 90 to 92 seconds = 6
The number of laps in the range 92 to 94 seconds = 5
The number of laps in the range 94 to 96 seconds = 2
The number of laps in the range 96 to 98 seconds = 0
Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Answer: A.
Step-by-step explanation: On Edge!
(
−
2
,
2
)
(−2,2) under a translation is
(
−
3
,
5
)
(−3,5). Find the coordinates of the image of the point
(
−
3
,
1
)
(−3,1) under the same translation.
Answer:
kslskd बोडलालामसूनिविवल
evaluate each algebraic expression for the given values if the variable
[tex](4d)( - 5d)[/tex]
d= -8
Answer:
1280
Step-by-step explanation:
4d*(-5d)=-20(d)^2, d=-8. - 20*64=1280
— 12 — бр – (-2)
HELP ASAP
Answer:
-10 - 6p
Step-by-step explanation:
-12 - 6р - (-2)
~Combine like terms
-10 - 6p
Best of Luck!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]
HELLLPPPPP!!!!!!!!!!!!!!!!!!
Answer:
1}6 times
Step-by-step explanation:
The highest number of president born in Virginia minus the highest number of president born in Texas2}Yes.New York and Mast has the same number of president which is four
3}Yes,this can be done using piechart.
4}I am still working on this question
37. for the graph x= -3
please help
Answer: 0
Step-by-step explanation:
Slope of x = -3 is infinite / undefined (there is infinite/no defined change in y for a given change in x). Remember, line x = -3 slopes straight up.
Perpendicular means at a 'right angle to'.
The only kind of line that is perpendicular to a vertical line is a horizontal line, which is like y = 15 or y = 5 or something. The slope of such lines is always zero, because there is no change in line's rise for a given run.
Geometry, please answer question ASAP
Answer:
A
Step-by-step explanation:
The inscribed angle IJK is half the measure of its intercepted arc, so
arc IK = 2 × 75° = 150°
The 3 arcs sum to 360° , then
arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A
I can't figure this out, please help! I'll give a brainliest
Answer:
u can use pythagoras or sine rule
Step-by-step explanation:
cos-1(9/11)
Find the measure of x
Answer:
B
Step-by-step explanation:
The angle in a semicircle is 90° , then
x = 180° - (90 + 47) = 180° - 137° = 43° → B
Answer:
B. 43
Step-by-step explanation:
ignore the other triangle with the y angle. it is just there to confuse us.
the main information is given already by the main triangle with the angles x and 47 degrees.
because it's baseline is the diameter of a circle, and its top point is also on the circumference of the same circle.
all triangles that can be inscribed into a circle that way are by definition right-angled triangles.
so, the angle at the top point is actually 90 degrees.
and as we know, the sum of all angles in a triangle is always 180 degrees, we can simply calculate :
180 = 90 + 47 + x = 137 + x
x = 43 degrees
that's it.
The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f
Answer:
[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]
Step-by-step explanation:
The question is not properly formatted (see attachment for the frequency table and the options)
Required
The conditional relative frequency table by column
We have:
[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12} & {28} & {40} & {Not\ Employed} & {38} & {72} & {110}& {Total} & {50} & {100} & {150} \ \end{array}[/tex]
To get the conditional frequency by column, we simply divide each cell by the corresponding total value (on the last row)
So, we have:
[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12/50} & {28/100} & {40/150} & {Not\ Employed} & {38/50} & {72/100} & {110/150}& {Total} & {50/50} & {100/100} & {150/150} \ \end{array}[/tex]
[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]
Can someone help me out
Answer: V=9.4 cm^3
Step-by-step explanation:
[tex]V=\pi r^2h\\V=\pi (1)^2(3)\\V=9.4cm^3[/tex]
Consider the reflection of parallelogram PQRS across the line of reflection wy
Answer:
Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5
Step-by-step explanation:
please help (picture) 25 points
Answer:
1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20
2) P = 4(5x-2) = 20x-8
I need help I don't understand this.
9514 1404 393
Answer:
∠4 = 108°
Step-by-step explanation:
Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.
∠4 = 180° -∠2 = 180° -72°
∠4 = 108°
Christian has 1/2 of a foot of tape. His friend gives him 3/10 of a foot of tape. How much tape does Christian have now?
Answer:
4/5 foot
Step-by-step explanation:
Add the lengths together
1/2 +3/10
Get a common denominator
1/2 *5/5 + 3/10
5/10 + 3/10
8/10
Simplify the fraction by dividing the top and bottom by 2
4/5
[tex]\rm \implies \: Total \: \: length \: \: of \: \: tape \: = \: \frac{1}{2} \: + \: \frac{3}{10} \\ [/tex]
Now , we take LCM of denominators.LCM of 2 and 10 is 10.[tex]\bf \large \rightarrow \: \: \frac{5 \: + \: 3}{10} \: = \: \frac{8}{10} \\ [/tex]
Now , simplifying the fraction in simplest form.
[tex]\bf \large \rightarrow \: \: \cancel\frac{8 \: \: ^{4} }{10 \: \: ^{5} } \: = \frac{4}{5} \\ [/tex]
Christian have 4/5 foot of tape have now.
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
