The expressions that gives x in terms of y from the given expression 7 y = 2 x − 5 is x = (7y +5)/2.
How can the expression be simplified?The concept that will be used in this question is solving of linear equation, because the equation is linear, then we perform the simplification.
The given expression is is 7 y = 2 x − 5
Then from the expression we can make 2x the subject of the formula by rearranging it as 2x = 7y +5
Then this can be further expressed by dividing the both sides by the factor of 2, which can be expressed as ;
x = (7y +5)/2
Therefore, option A is correct because it is the expression that gives the x in terms of y.
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Check the missing options:
A. x = (7y +5)/2
B. y = (7x +5)/2
C. x=(7y +5)/3
when 9 times a number is increased by 30, the answer is the same as when 140 is decreased by the number. Find this number
Answer: 11
Step-by-step explanation:
Let the number be x.
[tex]9x+30=140-x\\\\10x=110\\\\x=11[/tex]
teresa earned 425 dollars for working 25 hours last week what is her hourly rate
Answer: $17
Step-by-step explanation:
$425 divided by 25
Answer:
Her hourly rate is $17/hr.
Step-by-step explanation:
We can figure this out by taking the total dollars ($425) and dividing it by how many hours she spent working (25). 425 divided by 25= 17. Therefore, her hourly rate is 17$/hr.
Use the Exemption amounts in Figure 2.2 on page 132 to find the
(a) amount for exemptions and (b) annual state income taxes.
11. Jeff Falls, a heating system
salesman, is single with 3
dependents. He earns $57,900
annually, and his state's tax rate
is 3%.
13. Rick Delgado earns $43,500
annually as an automobile
mechanic. He is married but
has no dependents. The state
tax rate is 4.6%.
12. Sara Moon is a video editor
who earns $63,840 annually.
She is married, has 2 dependents,
and her state tax rate is 4%.
14. Julie Bookwalter is single,
claims 1 dependent, and
earns $32,300 annually. The
state tax rate is 2.5%.
11. The amount he pays in annual state income tax is $1,497.
13. The amount that will be paid for tax will be $2000.
14. The amount he pays in annual state income tax is $707.50.
How to estimate the annual state income tax?11. Given;
Annual earnings = $57,900
State tax rate = 3%
Amount earned in exemption = $8,000
Taxable Income = Annual Income - Exemptions
Igor's taxable income = $57,900 - $8,000 = $49,900
Taxable Income × Tax rate = Amount paid as tax
The amount he pays is therefore; $49,900 × 3% = $1,497
13. The amount that will be paid as tax will be:
= 4.6% × $43500
= $2000
Therefore, the amount is $2000.
12. a) We can see that the exemptions for a married person are $4000 and $2000 per dependent. Since there are 2 dependents, therefore:
Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)
Amount for exemptions = $4000 + $4000 = $8000
Amount for exemptions = $8000
b) Taxable wages = Annual gross pay - Exemptions
Taxable wages = $63840 - $8000 = $55840
Annual state income taxes = Taxable wages × State tax rate
Annual state income taxes = $55840 × 4% = $2233.6
14. The amount he pays in annual state income tax is $707.50.
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The time in seconds that it takes an object to fall d feet can be found
using the expression ((sqrt(d))/(4)) , Suppose aiden drops a tennis ball from a height of 50 feet at the same time masons drops a similar tennis ball from a height of 20 feet . How much longer will it take Aiden's tennis ball to reach the ground than Mason's tennis ball? Round to the nearest hundredth .
Aiden's tennis ball will reach the ground 0.65 seconds than Mason's tennis ball
How to determine the time difference in reaching the groundThe function of time with respect to distance is given as
(sqrt(d)/(4))
Rewrite the function properly
This is represented as follows
√d/4
It can also be written as
t = 1/4√d
From the question, we have
Aiden = 50 meters
Mason = 20 meters
The time difference is then calculated as
T = t₁ - t₂
So, we have
T = 1/4√d₁ - 1/4√d₂
The equation becomes
T = 1/4√50 - 1/4√20
This gives
T = 1/4(√50 - √20)
Evaluate
T = 0.65
Hence, the time difference is 0.65 seconds
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HELp ASAP PLSSSPLSPLSPLSS
(view attatched image
Answer:
Ok...I've worked out the math and the correct answer should be the first one...
x | g(x)
1 | -2
2 | 4
3 | 10
Step-by-step explanation:
Hope this helps!!
fine the value of x. please help
The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.
How do you find the value of x/ In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown. "x is a variable in x + 2 = 7, but we can figure out its value if we try! The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention.People have discovered over time that the sequence of the numbers has no bearing on the results of addition or multiplication.x+ 38+103= 180
x+141 =180
x =180- 141
x = 39
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214 ÷ 9 = ___.
Twenty-three and two-ninths
Twenty-three and five-ninths
Twenty-three and seven-ninths
24
Answer:
Twenty-three and seven-ninths
Step-by-step explanation:
Might not be correct I don't really remember how to do this
Is the following statements true or false?
Answer: False
Step-by-step explanation: The two lines do not overlap so they do not intercept.
two functions are given below: f(x) and h(x). state the axis of symmetry for each function and explain how to find it
HELP ME PLEASE
The axis of symmetry for function
f(x) is x = 8 and for h(x) is x = 3.
We know that the quadratic equation in vertex form is, y = a (x - m)² + n
where (m, n) is the vertex of the parabola.
And, the axis of symmetry is x = m.
Consider function f(x)
f(x) = -4(x - 8)² + 3
This function represents a quadratic equation in vertex form with vertex (8, 3)
So, the axis of symmetry for function f(x) would be x = 8
We know that the axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetrical.
Consider the function h(x)
We can observe that the vertex of parabola is (3, 2)
So, the axis of symmetry would be x = 3.
Therefore, the axis of symmetry for function
f(x) is x = 8 and for h(x) is x = 3.
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Wxyz is a parallelogram in the coordinate plane. the vertices for the parallelogram are w(0,0), (b,c), y (a + b,c), and z(a,0), where a > 0,b > 0, and c> 0 what set of statements prove that the diagonals of the parallelogram bisect each other?
The diagonals WY and XZ intersect at E, we must prove that WE ∼ = YE and XE ∼ = ZE. The converse exists also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral exists as a parallelogram.
Why quadrilateral WXYZ is a parallelogram?WXYZ cannot be a parallelogram because the value of x that creates one pair of sides congruent does not create the other pair of sides congruent.
Given that WXYZ, let the diagonals WY and XZ intersect at E, we must prove that WE ∼ = YE and XE ∼ = ZE. The converse exists also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral exists as a parallelogram.
A rhombus, therefore, contains all the properties of a parallelogram: Its opposite sides exist parallel. Its opposite angles exist equally. Its diagonals bisect each other.
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Look at this table:
England
Wules
Birth rate per 1000 population
1961
1994
17.6
17.0
12.2
(a) In England, from 1961 to 1994, the birth rate fell by 26.1%
What was the birth rate in England in 1994? Show your working.
(b) In Wales, the birth rate also fell.
Calculate the percentage fall from 1961 to 1994. Show your working.
The birth rate in England in 1994 is 13 and the percentage fall in Wales is 28.23%
(a)In England, from 1961 to 1994, the birth rate fell by 26.1%
We need to find the birth rate in England in 1994
Birth rate in 1961 is 17.6
Birth rate in 1994 = 17.6 - 17.6 x26.1/100
= 17.6 - 17.6 x261/1000
= 17.6 - 4.6
= 13
(b) In Wales, the birth rate also fell.
The birth rate in 1961 is 17.0
The birth rate in 1994 is 12.2
Percentage fall is 100 x (17.0 - 12.2)/17.0
Percentage fall is 28.23 %
Therefore, the birth rate in England in 1994 is 13 and the percentage fall in Wales is 28.23%
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Sally can paint a room in 4 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
a particular community in the mid west experiences on average 3.9 tornadoes every year. what's the probability that the next tornado comes after 7 months have passed? give your answer in decimal form with three significant digits.
0.8973 is the probability that the next tornado will occur within the next seven months.
Applying the rule of three, we can infer that since the average number of tornadoes in a year is 3.9, the average number of tornadoes in a nine-month period is 3.9*7/12 = 2.275. It is reasonable to believe that the distribution of tornadoes over time is Poisson. Let's refer to X as the number of tornadoes in a seven-month period. X has a Poisson distribution with a parameter of 2.27.
The probability of X being greater than or equal to 1 is equivalent to the likelihood that the next tornado will occur within the next seven months.. However P(X≥1) = 1-P(X=0), and
[tex]p(X=0) = (e^{2.275} * 2.275^{0}) / 0![/tex] = 0.1027
Thus, the probability that the next tornado comes within the next 7 months is 1-0.1027 = 0.8973.
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How many square mega meters are in 9,000,000 square kilometers?
Answer:
9 square megameters
Explanation:
Given:
[tex]\begin{gathered} 1.0\times10^6\text{ square kilometers}=1\text{ square megameter} \\ \implies1\text{ square kilometers}=\frac{1}{1.0\times10^6}\text{ square megameter} \end{gathered}[/tex]We want to find out how many square megameters are in 9,000,000 square kilometers.
Multiply both sides of the equation by 9,000,000.
[tex]\begin{gathered} 1\times9,000,000\text{ square km}=\frac{9,000,000}{1.0\times10^6}\text{ square megameter} \\ \implies9,000,000\text{ square km}=9\text{ square megameter} \end{gathered}[/tex]There are 9 square megameters in 9,000,000 square kilometers.
The amount of money an engineer receives from a bank if he invests $50,000 for 7 years at 11.5% per annum compound interest.
Answer:
$107125.80
working out:
50000x1.115^7=107125.8 (rounded)
Last winter it snowed 5 inches in December 17 inches in January 13 inches in February and 2 inches in March how much snow fell during the entire winter 
37 inches total, but 35 with just December, January, and February (depending on the definition of winter)
2x + 3y = 13
Step 2 of 2: Determine the missing coordinate in the ordered pair (?, 3/2) so that it will satisfy the given equation
Answer:
[tex]\frac{17}{4}[/tex]
Step-by-step explanation:
Replace y with 3/2 and solve for x
2x + 3(3/2) = 13
2x + 9/2 = 13 Subtract 9/2 from both sides
2x = [tex]\frac{13}{1}[/tex] - [tex]\frac{9}{2}[/tex]
2x = [tex]\frac{26}{2}[/tex] - [tex]\frac{9}{2}[/tex]
2x = [tex]\frac{17}{2}[/tex] Divide both sides by 2
x = [tex]\frac{17}{2}[/tex] ÷ [tex]\frac{2}{1}[/tex]
x = [tex]\frac{17}{2}[/tex] x [tex]\frac{1}{2}[/tex]
x = [tex]\frac{17}{4}[/tex] o r4 [tex]\frac{1}{4}[/tex] or 4.25
At a high school, the cafeteria staff provides optional comment cards to students eating in the cafeteria. Students who wish to make a comment can obtain and fill out a comment card and return it to a drop box in the front office. At the end of the semester, the staff analyzes the responses and finds that 72% of the students who filled out a comment card recommend major changes to the food selection. What conclusions can the cafeteria staff draw from these responses?.
Based on the described sampling approach, it should be concluded that the responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. (Option D).
Voluntary response sample refers to a response sample in which the researcher puts out a request for population members to join the sample, and the decision of whether or not to be in the sample resides with the people. As it is a sample comprising of voluntarily participants, people who chose to participate usually do so as they have a strong opinion on the subject of the survey. Typically, voluntary response samples oversample members with strong opinions and under sample members with little to no opinion on the subject of the survey. Hence, inferences from a voluntary response sample are not as reliable as conclusions based on a random sample of the entire population under consideration.
Note: Question is incomplete. The options were missing which are a. Since all of the students had an opportunity to respond, this is evidence that a majority of all the students supports major changes. b. The cafeteria staff should not use the results to draw any conclusions since some students may not have filled out a comment card, which is nonresponse. c. If the students recorded their grade level with their response, the staff could make the original sample a stratified sample and use the responses to learn what proportion of each grade recommends major changes to food selection. d. The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. e. The opportunity to fill out comment cards should be offered to students at all high schools in the school district to get a larger sample size, which will make the results more reliable
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Salesman A gets paid $300 a month plus $8 for every sale he makes. Salesman B gets paid $1500 a mont. Write and equation and solve to see how many salesman a must make in order to make the same amount of salesman b
The salesman A must make 150 order to make the same amount of salesman B .
In the question ,
it is given that ,
Salesman A gets paid $300 per month
for every sale salesman A get $8 .
let the number of sales made by salesman A be "x" .
So, amount made by salesman A = 300 + 8x
Salesman B earns per month = $1500 .
To make the amount earned by both the salesman same ,
300 + 8x = 1500
8x = 1500 - 300
8x = 1200
x = 1200/8
x = 150
Therefore , The salesman A must make 150 order to make the same amount of salesman B .
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Find the volume of this cylinder. Use 3 for a.14 ftV = 7r2h=9 ftVV ~ [?]ft3
The formula for the Volume(V) of the cylinder is given as,
[tex]V=\pi r^2h[/tex]Given:
[tex]\begin{gathered} \pi=3 \\ r=14ft \\ h=9ft \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} V=3\times14^2\times9=3\times196\times9=5292ft^3 \\ \therefore V=5292ft^3 \end{gathered}[/tex]Hence, the volume of the cylinder is
[tex]5292ft^3[/tex]One of the fastest species of beetle can actually run at a speed of about 9 kilometers per hour. Convert 9 kilometer per hour to centimeters per second.
Given:
The speed of the beetle is, s = 9 km/h.
The objective is to convert the speed into centimeters per second.
Explanation:
Since, it is known that,
[tex]\begin{gathered} 1\text{ km=1,00,000 cm} \\ 1\text{ hour=3600 s} \end{gathered}[/tex]Conversion;
Then, the speed can be converted as,
[tex]\begin{gathered} s=9(\frac{km}{hr})(\frac{1,00,000\text{ cm}}{1\text{ km}})(\frac{1\text{ hr}}{3600\text{ s}}) \\ =250\text{ cm/s} \end{gathered}[/tex]Hence, the the converted value is 250 cm/s.
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P = {2, 4, 6, 8}. What is P' ?
{2, 4, 6, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 3, 5, 7, 8}
Answer:
{1, 3, 5, 7}
Step-by-step explanation:
U = {1, 2, 3, 4, 5, 6, 7, 8}
P = {2, 4, 6, 8}
P'= {1, 3, 5, 7}
The vertices of ∆DEF are D(2,5), E(6,3), and F(4,0). Graph ∆DEF and its image when you translate ∆DEF using the vector (-3,-7)
The resulting coordinate of △ D'E'F' is translated by the vector is
(-1, -2), (3,-4), and (1, -7)
Given the vertices of ∆DEF are D(2,5), E(6,3), and F(4,0).
we are asked to graph ∆DEF and its image when you translate ∆DEF using the vector (-3,-7).
If the coordinate of the vertices is translated by the vector (-3, -7), the resulting coordinates of △ D'E'F' will be expressed as:
D'= (2-3, 5 - 7) = (-1,-2)
E' = (6 - 3, 3 - 7) = (3, -4)
F' = (4 -3 , 0 - 7) = (1, -7)
Hence we get the required coordinates of the translated image.
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Carter wants to use the model above to solve 273 ÷ 13. Explain how he would find parts A, B, and C of the model.
Using the model Carter will find parts A, B and C b to be
Part A = 26 tens
Part B = 13
Part C = 13 ones
What is a model?A model is a representation in form of shape used for to achieve a desired aim. Models are choose with respect to the importance
How to determine parts A. part B, and part C using the modelThe given model is a rectangle
Subtracting 13 from 273 to give 260. This can be arranged in tens by doing
= 260 / 10
= 26
Hence, A is 26 tens
Representing the C part in place value we have 13 ones
Since B = C, we have B = 13
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Suppose the commute times for employees of a large company follow anormal distribution. If the mean time is 24 minutes and the standarddeviation is 5 minutes, 95% of the employees will have a travel time within which range?
The empirical rule state that, for normally distributed data, almost all of the data fall within three standard deviations either side of the mean. Specifically,
-68% of data within 1 standard deviation.
-95% of data within 2 standard deviation
-99.7 of data within 3 standard deviation.
In our case the mean is
[tex]\mu=24[/tex]and the standard deviation is
[tex]\sigma=5[/tex]then, the empirical formula imply that
[tex]\begin{gathered} \mu-2\sigma=24-2\cdot5 \\ \mu-2\sigma=24-10 \\ \mu-2\sigma=14 \end{gathered}[/tex]and
[tex]\begin{gathered} \mu+2\sigma=24+2\cdot10 \\ \mu+2\sigma=24+10 \\ \mu+2\sigma=34 \end{gathered}[/tex]then, the answer is 14 minutes to 34 minutes
Answer:
D
Step-by-step explanation:
Given m || n, find the value of x and y.
119°
to
yº
E
x+119°=180°(Co-interior angles are supplementary m || n)
[tex]x = 180 - 119 \\ x = 61[/tex]
y=119°(alternate angles are equal m ||n)
GOODLUCK.
Adriel is going to invest in an account paying an interest rate of 2.4% compounded monthly. How much would Adriel need to invest, to the nearest ten dollars, for the value of the account to reach $120,000 in 8 years?
The principal amount is $99,055.82.
What is Compound interest?When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits. Consider that you have $1,000 in a savings account earning 5% interest annually. If you made $50 in the first year, your new balance would be $1,050.
Given:
Amount = 120,000
r = R/100
r = 2.4/100
r = 0.024 per year,
Then, solve the equation for P
P = A / [tex](1 + r/n)^{nt}[/tex]
P = 120,000.00 /[tex](1 + 0.024/12)^{(12)(8)[/tex]
P = 120,000.00 / [tex](1 + 0.002)^{(96)[/tex]
P = $99,055.82
Hence, the principal amount is $99,055.82.
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Hi,Hope you could help me with the attached question. Thanks!A random sample of 380 married couples found that 298 had two or more personality preferences in common. In another random sample of 574 married couples, it was found that only 36 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
We were given that:
For P
consider a normal distribution with mean 20 and standard deviation 9. what is the probability a value selected at random from this distribution is greater than 20? (round your answer to two decimal places.)
The probability that a value selected at random from this distribution is greater than 20 is 0.5.
What is a probability with normal distribution?
The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean. The probabilities for values that are farther from the mean taper off equally in both directions.
Here,
Let us assume that X follows a normal distribution.
If X follows a normal distribution, then
z = (X−μ) /σ, follows a standard normal distribution.
The probability of a value selected at random from this distribution is greater than 20:
P (X > 20) = 1 − P (X ≤ 20)
P ((X − μ) / σ > 20) = 1−P((X − μ) / σ ≤ 20)
P (z > (20 − 20) /5) = 1 − P (z ≤ (20−20 / 5))
P (z > 0) = 1 − P (z ≤ 0)
The value of probability is obtained from the standard normal table as:
P (z > 0) = 1 − P (z ≤ 0)
= 1 - 0.5
= 0.5
Hence, the probability that a value selected at random from this distribution is greater than 20 is 0.5.
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help on both problems
Answer:
114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense
Step-by-step explanation:
for the first one the area of a trapezoid is [tex]\frac{1}{2} h(b_{1} +b_{2})[/tex]
so
first find the height of the triangle
8^2 + h^2 = 10^2
64 + h^2 = 100
h^2 = 36
h = 6
so
the height is 6
now plug it in
[tex]\frac{1}{2} * 6 (25 + 13)[/tex]
[tex]\frac{1}{2} * 6(38)[/tex]
114 cm is the first answer
for the second one you can add all of them together and set them equal to 27
x - 1 + 2x - 4 + 3x - 4 = 27
6x - 9 = 27
6x = 36
x = 6
that is the second answer
it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense