How can I solve
2y=4-3y
Answers
Add 3y to both sides then divide both sides by 5.
\(2y=4-3y\implies 5y=4\implies y=\frac{4}{5}\)
Hope this helps.
Answer:
y = 0.8
Step-by-step explanation:
You must rewrite the equation so that the y variables are all on one side of the =, and the numbers are on the other. To do this, you must add 3y to 2y (because it is originally -3y, and you have to do the opposite, meaning you add rather than subtract):
5y = 4
Next, to remove 5 from the equation, since 5y means they are multiplied together, you must do the opposite, so divide each side by 5:
5y ÷ 5 = y
4 ÷ 5 = 0.8
Therefore, y = 0.8
Related Questions
Please help. I’ll mark you as brainliest if correct!
Answers
answer is g(x)=|x+2|-1
\(answer \\ g(x) = - |x + 2| - 1\\ as \: we \: can \: see \: from \: the \: given \: graph \\ above \: that \: the \: graph \: of \: absolute \\ function \: has \: been \: reflected \: over \: the \\ x \: axis \: \: shifted \: 2 \: units \: left \: and \: 1 \: \\ units \: down. \\ due \: to \: reflection \: there \: is \: a \: negative \\ sign \: shift \: of \: 2 \: units \: left \: is \: given \\ by \: x + 2 \: and \: 1 \: units \: down \: is \: given \\ by \: - 1 \\ hope \: it \: helps\)
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
Answers
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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Which statement is NOT true about Euclidean geometry?
F. The shortest distance between two points is a straight line.
G. Basic geometric elements are points, lines, and planes.
H. Parallel lines may intersect.
J. The sum of the measures of any triangle always equals 180 degree.
Answers
Answer: H. Parallel lines may intersect.
Step-by-step explanation:
By definition, parallel lines never intersect.
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Answers
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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Somebody please do this right for me
I really need the right answer and anybody who puts there time into it I will give brainlist
Answers
Step-by-step explanation:
What do u mean by reflected on the axis? You want the equation?
5x-y=1/4 write in slope-intercept form
Answers
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.
Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?
Answers
Answer:
a) 0.0835 = 8.35% of students at the university are statistics majors
b) 0.8623 = 86.23% are at the Main campus
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for item b.
a. What proportion of students at the university are statistics majors?
12% of 60%(At the main campus).
4% of 25%(Downtown campus).
The rest is 100 - 60 + 25) = 15%.
1% of 15%(Bay Area Campus). Si
\(p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835\)
0.0835 = 8.35% of students at the university are statistics majors.
b. Of all statistics majors at the university, what proportion are at the Main campus?
Using conditional probability to find the percentage.
Event A: Statistics majors, so \(P(A) = 0.0835\)
Event B: Main Campus
Intersection of A and B:
12% of 60%. So
\(P(A \cap B) = 0.12*0.6 = 0.072\)
Percentage:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623\)
0.8623 = 86.23% are at the Main campus
what value of X makes the model true?
Answers
The value of x is -1 which makes the model true
The equation from the given model will be 5x+6=1
We have to find the value of x
5x+6=1
Subtract 6 from both sides
5x=-5
Divide both sides by 5
x=-1
Hence, the value of x is -1 which makes the model true
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A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)
Answers
Answer:
18 cubic inches
Step-by-step explanation:
The formulas for the volumes of a cone and a cylinder can be used to answer this question.
Volume formulasThe volume of a cone is given by ...
V = 1/3πr²h . . . . . volume of cone with radius r and height h
The volume of a cylinder is given by ...
V = πr²h . . . . . volume of a cylinder with radius r and height h
Relation between volumesComparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
(cone volume) = 1/3(cylinder volume)
Multiplying this equation by 3 gives ...
3×(cone volume) = (cylinder volume)
Using the given value for cone volume, we have ...
cylinder volume = 3×(6 in³) = 18 in³
The volume of the cylinder is 18 cubic inches.
SOMEONE PLEASE HELP
The number of chips of different colors in Gail's bag is shown below
-2 blue chips
-4 pink chips
-8 white chips
Gail takes out a chip from the bag randomly without looking, She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?
Answers
Answer:
8 over 15 multiplied by 7 over 14 is equal to 56 over 210
8 over 15 plus 7 over 14 is equal to 217 over 210
8 over 15 plus 8 over 15 is equal to 16 over 15
8 over 15 multiplied by 8 over 15 is equal to 64 over 225
She's taking it out and then she replaces it
and so that means the denominator would stay 15 both times
and since it's a white chip in both draws, it would be 8/15 * 8/15
Apples cost $0.98 per pound. How much would it cost
to purchase 5.5 pounds of apples?
Answers
Answer: $5.39
Step-by-step explanation:
0.98 x 5.5 = 5.39
Hope this helped ! :)
Which statement can be supported by the information in the table?
The tree increased in height each month during the entire 11-month period.
The tree decreased in height each month during the entire 11-month period.
The tree increased in height each month until the time period between month 9 and month 11.
The tree decreased in height each month until the time period between month 9 and month 11.
Answers
The tree increased in height each month until the time period between month 9 and month 11. The correct option is C.
What is a hierarchy?A hierarchy is a set-theoretical object composed of a preorder defined on a set.
We were given a table that showed the height of the tree Margo planted over the course of 11 months.
Let's see which of the following statements can be supported by the data in the table.
1. The tree grew taller every month for the entire 11-month period.
We can see from our data table that Margo's tree grew until 9 months and then decreased in height from 3 feet to 1.8 feet between 9 and 11 months, indicating that the first statement is false.
2. Throughout the 11-month period, the tree's height decreased month by month.
We can see from our table that the height of Margo's tree increased until 9 months from 1.4 feet to 3 feet and then decreased from 3 feet to 1.8 feet between 9 and 11 months, indicating that the second statement is false.
3. The tree grew taller each month until the time period between months 9 and 11.
We can see that the tree's height increased for 9 months (1.4 ft to 3 ft) and then decreased (3 ft to 1.8 ft) between 9 and 11 months, indicating that our third statement is correct, and the data in the table backs this up.
4. The tree's height decreased month by month until the time period between months 9 and 11.
We have seen that the tree grew in height each month until the time period between months 9 and 11, so our fourth statement is false.
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The missing table is attached with the answer below.
f(x) = 3x + 7. What is f(4) ?
Answers
Answer:
I believe the answer is 19.
6 hours more per week than Theodore studies
Answers
Answer:
who is Theodore and what even is the question?
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)
Answers
Answer:
The 95% confidence interval is \( 3.462 < \mu < 4.138 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is \(\= x = 3.80\)
The standard deviation is \(\sigma = 1.19\)
Given that the confidence level is 95% then the level of confidence is mathematically represented as
\(\alpha = (100 - 95)\%\)
=> \(\alpha = 0.05 \)
Generally from the t distribution table the critical value of \(\frac{\alpha }{2}\) at a degree of freedom of \(df = 50 -1 = 49\) is
\(t_{\frac{\alpha }{2} ,49 } = 2.0096\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E =2.0096 * \frac{1.19}{\sqrt{ 50} }\)
=> \(E = 0.3381 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
\( 3.80 -0.3381 < \mu < 3.80 +0.3381\)
=> \( 3.462< \mu < 4.138 \)
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answers
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
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what is the value f 7 in 3.567
Answers
Answer:
the answer to that question is 7 thousandths
Step-by-step explanation:
Eduardo's school is selling tickets to a play. On the first day of ticket sales the school sold 4 adult tickets and 9 child tickets for a total of $108. The school took in $114 on the second day by selling 10 adult tickets and 3 child tickets. What is the price each of one adult ticket and one child ticket?
Answers
The price of one adult ticket is $9 and the price of child ticket is $8
First day of ticket sales the school sold 4 adult tickets and 9 child tickets for a total of $108
Consider the price of adult ticket as x and child ticket as y
Then the equation will be
4x+9y = 108
Similarly the school took in $114 on the second day by selling 10 adult tickets and 3 child tickets
10x+3y = 114
Here we have to use the elimination method
Multiply the first equation by 10 and second equation by 4
40x+90y = 1080
40x+12y = 456
Subtract the equation 2 from equation 1
90y-12y = 1080-456
78y = 624
y = 624/78
y = $8
Substitute the value of y in any equation
10x+3y =114
10x+3×8 =114
10x +24 =114
10x = 90
x = 90/10
x = $9
Hence, the price of one adult ticket is $9 and the price of child ticket is $8
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Find the LCM of 6,12 and 15
Answers
LCM=2×2×3×5=2×6×5=2×30=60
Step-by-step explanation:
\(\large \boldsymbol{} \sf 6=\bold3\cdot \underline2 \\\\12=\bold3\cdot \underline2\cdot 2\\\\15=5\cdot\bold 3 \\\\ LCM(6 ; 12 ; 15) =\bold{3\cdot 2}\cdot 2\cdot 5=60\)
A $60 skateboard is only $51 after a sale. Find the percent of discount
Answers
Answer:
15% off
Step-by-step explanation:
—- ——
60 60
0.85=x
Therefore to find the percent discount subtract 1 (which is 100%)-0.85
This gives you 0.15, or a 15% discount.
You can check by multiplying 60 by 0.15, which gives you 9, then subtracting 60-9, which gives you 51.
15% discount.
Hope this helps!!
A ladder is leaning against a building, forming a 70° angle with the ground: The base of the ladder is 8.2 ft from the base of the
building.
What is the length of the ladder?
Round your answer to the nearest tenth of a foot.
22.5 ft
24.0 ft
28.0 ft
28.7 ft
Answers
The length of the ladder that is leaning on the building would be = 24ft. That is option B.
How to determine the length of the ladder?To determine the length of the ladder, the sine rule needs to be obeyed. That is
= a/sinA = b/sinB
Where;
a = 8.2 ft
A = 180-( 70+90
= 180- 160
= 20°
b = X
B = 90°
That is;
8.2/sin20° = b/sin90°
Make b the subject of formula;
b = 8.2×1/0.342020
= 23.9
= 24 ft
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Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down
Answers
A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)
Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)
In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.
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-5(x - 10) = -35, figure out what x is
Answers
\(\text {Hey! Let's Solve this Problem!}\)
\(\text {\underline {The First Step is to Simplify the Equation}}\)
\(\text {Before: -5(x-10)=-35}\)
\(\text {After: -5x+50=-35}\)
\(\text {\underline {The Next Step is to Subtract 50}}\)
\(\text {-5x+50-50=-35-50}\)
\(\text {Your New Problem Is: -5x=-85}\)
\(\text {\underline {The Final Step is to Divide -5}}\)
\(\text {-5x/-5=-85/-5}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {x=17}\)
\(\text {Best of Luck!}\)
Answer:
17
Step-by-step explanation:
-5 (x - 10) = -35
-5x + 50 = -35
-5x = -35 - 50
-5x = -85
x = 17
Hopefully this answer helps you :)
If k(x) = 5x - 6, evaluate (k + k) (3).
Answers
What is the formula forfinding the area of a circle using its radius or diameter.
Answers
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answers
Answer:
y +1= -3(x -10)
Step-by-step explanation:
y -y1= m(x -x1)
y +1= -3(x -10)
Matrices consist of columns and rows.
True
O False
Answers
Answer:
True
Step-by-step explanation:
I remembered learning this definition for a matrix:
A Matrix is an arrangement of numbers into rows and columns
so yes matrices consist of rows and columns
Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0
Answers
Given statement solution is :- The Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
To find the sum of 4 + 20, we simply add the two numbers together:
4 + 20 = 24
As for the given vectors, let's perform the requested calculations:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >
Therefore, the Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
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The area of a rectangle is 5/6 sq foot. The width is 2/3 foot. The length of the rectangle is how many feet
Answers
Answer:
The answer is
\( \frac{5}{4} \\ \)
Step-by-step explanation:
Area of a rectangle = length × width
Since we are finding the length
\(length = \frac{area}{width} \\ \)From the question
area = 5/6 sq. feet
width = 2/3 foot
Substitute the values into the above formula and solve for the length
The length is
\(length = \frac{5}{6} \div \frac{2}{3} \\ = \frac{5}{6} \times \frac{3}{2} \\ = \frac{5}{2} \times \frac{1}{2} \\ = \frac{5}{4} \)
We have the final answer as
\( \frac{5}{4} \\ \)
Hope this helps you
Answer:
5/4
Step-by-step explanation:
5/6 ÷ 2/3
5/6 * 3/2
15/12
5/4
Best of Luck!
If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate
Answers
The percent error of the estimate is -2.14%
How to determine the percent error of the estimate?In this question, the figures are given as
Estimate = 5.5 cm
Actual = 5.62 cm
The percentage of the error is then calculated using the following equation
Error percentage = (Estimate - Actual)/Actual * 100%
Substitute the known values in the above equation, so, we have the following representation
Error percentage = (5.5 - 5.62)/5.62 * 100%
Evaluate
Error percentage = -2.14%
Hence, the error percentage is -2.14%
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