Rearrange w = 3(2a + b) - 4 to make a the subject.
Answers
Answer:
The answer is a = w + 4 - 3b/2
Step-by-step explanation:
w = 3(2a + b) - 4
add 4 both sides we get,
w + 4 = 3(2a + b) - 4 + 4
w + 4 = 3(2a + b)
w + 4 = 6a + 3b
Subtract 3b from both sides we get,
w + 4 - 3b = 6a + 3b - 3b
w + 4 - 3b = 2a
Now, Divide both sides by 2 we get,
w + 4 - 3b/2 = 2a/2
a = w + 4 - 3b/2
Thus, The answer is a = w + 4 - 3b/2
Related Questions
Gabriella and Ian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Gabriella is 550 miles away from the stadium and Ian is 950 miles away from the stadium. Gabriella is driving along the highway at a speed of 25 miles per hour and Ian is driving at speed of 50 miles per hour. Let � G represent Gabriella's distance, in miles, away from the stadium � t hours after noon. Let � I represent Ian's distance, in miles, away from the stadium � t hours after noon. Graph each function and determine the number hours after noon, � , t, when Gabriella and Ian are the same distance from the stadium.
Answers
Answer: Gabriella's distance from the stadium is modeled by the function G(t) = 550 - 25t.
Ian's distance from the stadium is modeled by the function I(t) = 950 - 50t.
To find the number of hours after noon when Gabriella and Ian are the same distance from the stadium, we need to set the two equations equal to each other and solve for t:
G(t) = 550 - 25t = I(t) = 950 - 50t
Combining like terms we get:
25t = 400
t = 16
So, 16 hours after noon, Gabriella and Ian will be the same distance away from the stadium.
To graph the functions, we can substitute different values of t into the equations to find the corresponding values of G(t) and I(t). Then we can plot the points on a coordinate plane and connect them to form the graph of the two functions.
It is important to note that we are assuming that both Gabriella and Ian don't make any stops, so the speed is constant through the whole trip and no time is wasted.
Step-by-step explanation:
Question 1: Which of these animals can travel at the greatest distance from sea level
Question 2: order the elevations of the animals from least to greatest
Answers
Answer:
Q1 : Ruppell's Giffrons
Q2 :
sperm whales
dolphins
missing birds
Ruppell's Giffrons
Step-by-step explanation:
I don't know if I can see the full picture, as it is clearly cut off.
my answers are based on what I can see :
Giffrons, migrating birds, dolphin and sperm whale.
here are the reasons for my 2 answers :
sea level = elevation of 0 ft. so, this is "point" 0.
Q1 now asks about what of the listed animals can move the farthest away from 0.
and distance is always positive. now matter the direction we are going. if we go from 0 to +5, the distance is 5. and if we go from 0 to -5, the distance is also 5.
so, we are looking for the animal with the largest absolute value of elevation it can reach.
and that are the Ruppell's Giffrons with 37000 ft. 37000 is much farther away from 0 than e.g -3000. and so on.
Q2 wants us to sort the animals based on their reachable elevations.
by the way, the correct words would be "lowest to highest". as this is how elevation works on scales.
and remember, negative values get actually larger in their absolute values, when we make them smaller.
-2 is smaller than -1.
therefore, the animal that can get the lowest of all here is the sperm whale.
then comes the dolphin.
then the migration birds.
and then the Ruppell's Giffrons.
The Brown Spider Monkey can travel at the greatest distance from sea level compared to the other mentioned animals. The order of elevations from least to greatest would be Blue Whale, Mountain Lion, Mountain Goat, and Brown Spider Monkey.
The animal that can travel at the greatest distance from sea level is the Brown Spider Monkey. It is found in the tropical rainforests of South America and can live at elevations of up to 9,000 feet (2,700 meters) above sea level. The other animals mentioned, Mountain Goat, Blue Whale, and Mountain Lion, are all restricted to lower elevations.
In terms of elevations from least to greatest, the order would be:
Blue Whale - Lives in the ocean at sea level
Mountain Lion - Found in various habitats including mountains and plains
Mountain Goat - Lives in mountainous regions
Brown Spider Monkey - Found in the tropical rainforests at high elevations
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Question 1 (1 point)
The system of equations y = -2x + 3 and y = 2x – 5 has
Exactly one solution
Exactly two solutions
Infinitely many solutions
No solutions
Answers
Answer:
one solution
Step-by-step explanation:
they have different slopes and are linear
2x + 4 = 0
find the value of x
Answers
Answer:
\(x=-2\)
Step-by-step explanation:
\(2x + 4 = 0\)
Subtract 4 from both sides:-
\(2x+4-4=0-4\)
\(2x=-4\)
Divide both sides by 2:-
\(\frac{2x}{2}=\frac{-4}{2}\)
\(x=-2\)
OAmalOHopeO
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
2x + 4 = 0, value of x = ?\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \sf2x+4=0\)
Subtract 4 from both sides. Anything subtracted from zero results in its negation.
\( \sf2x=-4 \)
Divide both sides by 2.
\( \sf \: x=\frac{-4}{2} \\ \)
Divide -4 by 2 to get -2.
\( \boxed{ \boxed{ \bf \: x=-2 }}\)
A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
For a randomly selected game, determine the probability that players wore their white jerseys, given that they won.
0.34
0.41
0.42
0.80
Answers
Answer:0.41
Step-by-step explanation:
What is the measure of arc e b c? 40° 90° 140° 220°
Answers
The measure of the arc is option (c) 140°
In geometry, an arc is a curved line that is a part of a circle's circumference. The measure of an arc can be calculated using the angle of the arc, which is measured in degrees.
In the case of EBC, the measure of the arc is 140°. This is because we can use the Angle-Side-Angle (ASA) congruence theorem, which states that two triangles are congruent if and only if two angles and the included side are equal.
In the case of EBC, we know that angle A equals 40° and angle C equals 90° so the only variable left is the measure of the arc, which is equal to 140°.
Therefore, the measure of EBC is 140°. This can be verified by drawing the triangle and measuring the arc with a protractor.
Therefore, option (c) is the right one.
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Complete Question:
What is the measure of arc EBC when the values of Angle a nd c are 90 and 40 degree respectively.
a) 40°
b) 90°
c) 140°
d) 220°
why can (or cannot) a p-value from a randomization test be used in the same way as a p-value from a parametric analysis?
Answers
A p-value from a randomization test and a p-value from a parametric analysis are not always used in the same way because they are based on different assumptions and methods of analysis.
Difference between P-value in randomization test and parametric analysisA p-value from a randomization test and a p-value from a parametric analysis are not always interchangeable or used in the same way because they are based on different assumptions and methods of analysis.
A randomization test is a non-parametric statistical test and is not dependent on any assumptions about the underlying distribution of the data while a parametric analysis on the other hand assumes that the data follows a specific probability distribution, such as a normal distribution, and uses statistical models to estimate the parameters of that distribution.
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A= (a, b}
B = {1,2,3}
Select the expression that is an element of AxBxB.
a. (1,2,3)
b. (a, a,1)
c. (b,2^2)
d. (2.1.1)
Answers
The expression that is an element of AxBxB is (1,2,3)
The given data is A= (a, b}, B = {1,2,3}
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined.
\(& \ A \times B=\left\{\begin{array}{c}(a, 1),(a, 2),(a, 3),(b, 1) \\(b, 2),(b, 3)\end{array}\right. \\\)
\(& A \times B \times B=\left\{\begin{array}{l}(a, 1,1),(a, 1,2),(a, 1,3), \\(a, 2,1),(a, 2,2),(a, 2,3),\end{array}\right. \\& (a, 3,1),(a, 3,2),(a, 3,3) \\ & (b, 1,1),(b, 1,2),(b, 1,3) \\& \left.\begin{array}{l}(b, 2,1),(b, 2,2),(b, 2,3) \\(b, 3,1),(b, 2),(b, 3,3)\end{array}\right\} \\\)
\(& \therefore(b, 2,3) \in D \times B \times B \\\\& (a, a, 1) \notin A \times B \times B \\\\& \left(b, 2^2\right) \quad \forall A \times B \times B \\\\& (2,1,1) \notin A \times B \times B \\\\&=(b, 2,3) \in \cap \times B \times B \\&\end{aligned}\)
The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y.
The intersection of sets can be denoted using the symbol ‘∩’. As defined above, the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.
Therefore, the expression that is an element of AxBxB is (1,2,3).
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Elijah and his sister went to the movies. They had $34 altogether and spent $9.50 per ticket. Elijah and his sister bought the same snacks. Which inequality represents the amount that each person spent on snacks?
Answers
Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?
sin(49°)
cos(49°)
sin(157°)
cos(157°)
Answers
Answer:
D - cos(157)
Step-by-step explanation:
Cos sum angle identity
cos(A+B) = cosAcosB - sinAsinB
103+54=157
The correct answer to the question is Cos 157
There are two ways to solve this question:
Method 1:Evaluate: Cos103Cos54 – Sine103Sine54
This can be obtained as follow:
Cos103Cos54 – Sine103Sine54
= –0.1322 – 0.7883
= –0.9205Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:
Sine 49 = 0.7547
Cos 49 = 0.6561
Sine 157 = 0.3907
Cos 157 = –0.9205From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54
Thus, Cos 157 is the correct answer to the question.
Method 2Again, we can apply the addition formula from trigonometry.
Cos (A – B) = CosACosB + SineASineB
Cos (A + B) = CosACosB – SineASineB
Sine (A + B) = SineACosB + SineBCosA
Sine (A – B) = SineACosB – SineBCosA
Comparing
Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:
Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)Cos103Cos54 – Sine103Sine54 = Cos 157
Recall:
Cos103Cos54 – Sine103Sine54 = –0.9205
Cos 157 = –0.9205
Therefore, Cos 157 remains the correct answer to the question.
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10. A medium pizza at Danny's Pizza costs $13.60 plus $2.50 for each topping. At Nicki's Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
Answers
Answer:
D
Step-by-step explanation:
Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequality to represent this situation. *
Answers
Answer:
Total number of peanuts =n
He shared with 5 people = 6 people
Each person had at least 18
n/6>=18
Step-by-step explanation:
When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.
Answer:
18 ≤ n ÷ 6
Step-by-step explanation:
My text book says Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. The inequality 18 ≤ n ÷ 6 represents this situation. Graph the solution of this inequality
the the value of x, if the perimeter of the rectangle is 98ft
Answers
Answer:
98/22 or 4.4545
Step-by-step explanation:
Perimeter of a rectangle: 2*width+2*length
4x*2+7x*2 = 98
8x+14x = 98
22x = 98
x = 98/22 or 4.4545
i really need help with this so much
match the graphs to the description of the relationship shown in the graph
Answers
Answer: Graph A represents the number of roommates, Graph B represents the number of free hours, and Graph C represents the cost of tuition
Step-by-step explanation: We know that the x axis is the number of courses. We can solve this by thinking about it as a real world issue. Think about it: since B has a downwards slope, doesn't it make sense for it to represent the number of free hours? Wouldn't taking more classes affect the amount of time you have? And if C is the cost of tuition, then wouldn't it make sense that it has a rising slope? Hope this helps
⬇️ Which equation has a constant of proportionality equal to 1/4?
Answers
Answer:
d
Step-by-step explanation:
i think i helped. have a nice day
two banks in the area offer 20-year, $210,000 mortgages at 4.4 percent and charge a $3,100 loan application fee. however, the application fee charged by insecurity bank and trust is refundable if the loan application is denied, whereas that charged by i. m. greedy and sons mortgage bank is not. the current disclosure law requires that any fees that will be refunded if the applicant is rejected be included in calculating the apr, but this is not required with nonrefundable fees (presumably because refundable fees are part of the loan rather than a fee).
Answers
Borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.
In the given scenario, there are two banks offering 20-year, $210,000 mortgages at 4.4 percent interest. The banks charge a $3,100 loan application fee. However, there is a difference between the banks regarding the refundability of the application fee.
Insecurity Bank and Trust: This bank charges a $3,100 loan application fee, which is refundable if the loan application is denied. In this case, the fee is considered part of the loan rather than a separate fee.
I. M. Greedy and Sons Mortgage Bank: This bank also charges a $3,100 loan application fee, but it is nonrefundable, meaning it will not be returned if the loan application is rejected.
The disclosure law requires that any fees that will be refunded if the applicant is rejected must be included in calculating the Annual Percentage Rate (APR). This is because these fees are considered part of the loan amount and have an impact on the overall cost of borrowing.
On the other hand, nonrefundable fees like the one charged by I. M. Greedy and Sons Mortgage Bank are not required to be included in the APR calculation. This is because these fees are treated as separate costs that are not directly part of the loan.
When comparing mortgage offers and determining the true cost of borrowing, it is important to consider not only the interest rate but also any associated fees. By including refundable fees in the APR calculation, borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.
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acme toy company sells baseball cards in packages of 100. three types of players are represented in each package -- rookies, veterans, and all-stars. the company claims that 30% of the cards are rookies, 60% are veterans, and 10% are all-stars. cards from each group are randomly assigned to packages. suppose you bought a package of cards and counted the players from each group. what method would you use to test acme's claim that 30% of the production run are rookies; 60%, veterans; and 10%, all-stars.
Answers
To test Acme's claim that 30% of the production run are rookies, 60% are veterans, and 10% are all-stars, you would use a hypothesis test. The null hypothesis would be that the claimed proportions are true (pR = 0.3, pV = 0.6, pA = 0.1) and the alternative hypothesis would be that at least one of the claimed proportions is incorrect.
You could use a goodness-of-fit chi-square test to compare the observed frequencies of each group of players in the package to the expected frequencies based on the claimed proportions. If the chi-square test statistic is large enough to reject the null hypothesis, then there is evidence that the claimed proportions are not accurate. The significance level would need to be chosen and the appropriate critical value for the chi-square distribution with 2 degrees of freedom would need to be calculated or looked up.
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Which statements about the location of the point are true? Check all that apply.
The point is in the first octant.
The x-coordinate is 5.
The y-coordinate is positive.
The point lies below the xy plane.
The point lies to the right of the x-plane.
Answers
The statements about the location of the point that are true include:
The point is in the first octant.The x-coordinate is 5.The y-coordinate is positive.How to explain the informationThe point (5, 5) is in the first octant, has a positive x-coordinate, and a positive y-coordinate. It lies above the xy plane and to the right of the x-plane. Therefore, the following statements are true:
The point is in the first octant.
The x-coordinate is 5.
The y-coordinate is positive.
The point lies above the xy plane.
The point does not lie below the xy plane, so the statement is false:
The point lies below the xy plane.
The point does not lie to the left of the x-plane, so the statement is false.
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20 A cinema records the ratio of children to adults in the audiences of two films shown
week.
Film A
Film B
Film A
children: adults
Tick (✓) the film that has the greater proportion of children in the audience.
Show how you worked out your answer.
11:19
5:7
Film B
Answers
Answer:
To compare the proportion of children in the audience for both films, we can calculate the percentage of children in each audience.
For Film A, the ratio of children to adults is 11:19, which means that the total number of parts is 11 + 19 = 30.
The percentage of children in Film A audience is:
(11/30) x 100% = 36.67%
For Film B, the ratio of children to adults is 5:7, which means that the total number of parts is 5 + 7 = 12.
The percentage of children in Film B audience is:
(5/12) x 100% = 41.67%
Since the percentage of children in Film B audience is greater than that of Film A, we can conclude that Film B has a greater proportion of children in the audience. Therefore, the answer is Film B.
Find ABC
need help asap pls
will give brianliest
Answers
Answer: 79 degrees
Step-by-step explanation:
Compare the second line with the first line. How much more money does Diego have after 1 hour of babysitting? 2 hours? 5 hours? x hours?
Answers
The second line should be compared to the first line to determine how much more money Diego has after a certain number of hours of babysitting. The amount of money earned by Diego per hour should be taken into account to calculate the difference in earnings after 1, 2, 5, or x hours of babysitting.
To determine how much more money Diego has after a certain number of hours of babysitting, we need to compare the earnings per hour mentioned in the first and second lines. Let's denote the amount of money earned by Diego per hour as "p" in the first line and "q" in the second line.
After 1 hour of babysitting, Diego would have earned an additional "q - p" amount of money compared to the first line. After 2 hours of babysitting, Diego would have earned a total of "(2 * q) - (2 * p)" more money compared to the first line.
After 5 hours of babysitting, Diego would have earned a total of "(5 * q) - (5 * p)" more money compared to the first line. If we want to calculate the difference in earnings after x hours of babysitting, the formula would be "(x * q) - (x * p)".
In summary, to determine how much more money Diego has after a certain number of hours of babysitting, we compare the earnings per hour mentioned in the first and second lines. The difference in earnings can be calculated by subtracting the earnings per hour in the first line (p) from the earnings per hour in the second line (q), and then multiplying that difference by the number of hours of babysitting.
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PLSS HELP ME LOL it’s says to choose to boxes also ^^ not just one answer
Answers
Answer:
I would put frequency and how
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance
charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77
$30.88
$23.95
$19.80
7.5% $86.76 $45.00
$31.11
$24.18
$20.04
8.0% $86.99 $45.23
$31.34
$24.41
$20.28
8.5% $87.22 $45.46
$24.65
$24.65
$20.52
9.0% $87.45 $45.68
$31.80
$24.89
$20.76
A.
$355.65
O
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E. $17,071.20
Reset
Next
© 2020 Edmentum. All rights reserved.
Answers
Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 hot dogs and 6 drinks and paid $23.80. Susan purchased 4 hot dogs and 2 drinks and was charged $15.40. What is the cost of 1 hot dog and what is the cost of 1 drink?
Answers
Let, cost of 1 hot dog and 1 drink is x and y respectively.
Carl bought 4 hot dogs and 6 drinks and paid $23.80.
4x + 6y = 23.80 ....1)
Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.
4x + 2y = 15.40 ....2)
Subtracting equation 2 by 1, we get :
(4x + 6y) - (4x + 2y) = 23.80 - 15.40
4y = 8.4
y = $2.1
4x + 6×2.1 = 23.80
4x = 23.80 - 12.2
4x = 11.6
x = 2.9
Therefore, the cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.
Hence, this is the required solution.
Which of the following is a measure used to describe the typical distance of a
data value from the mean value for a given spread of data, as shown in red
below?
A. Skew
B. Mode
C. Standard deviation
D. Median
Answers
Answer:
The correct answer is: Option C: Standard Deviation
Step-by-step explanation:
In a dataset, there are several methods that are used to determine the attributes of the data. One of them is standard deviation.
Deviation is derived from the word "Deviate" which means to move far.
Standard deviation is used to measure the distance of a data value from the mean i.e. how far a data value is from mean.
Hence,
The correct answer is: Option C: Standard Deviation
Two ropes are used to stake a new tree. If they are each tied 3 feet up from the ground and 4 feet from the base of the tree. How many feet of rope do you need total?
Answers
Answer:
7
Step-by-step explanation:
suppose that in a barn, there is a cow, a horse, a pig, and a goat. if two of the animals leave the barn, what is the probability that one of them is the goat?
Answers
Answer:
50% or 1/2
Step-by-step explanation:
Because there are 4 animals in the barn, if two animals leave (out of 4), then there are 50% of the animals in the barn and 50% of the animals leaving the barn.
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If the measure of angle 4 is 43 degrees, then the measure of angle 6 is -------
degrees and the measure of angle 5 is -------- degrees. The measure of angle 8 is -------- degrees and the measure of angle 1 is --------- degrees.
Answers
Answer:
degrees and the measure of angle 5 is -------- degrees. The measure of angl
Step-by-step explanation:
Find the 15th term of the arithmetic sequence whose common difference is d= 7 and whose first term is a1 = 5
Answers
Answer:
The 15th term is 103
Step-by-step explanation:
Arithmetic Sequence
An arithmetic sequence is a list of numbers with a definite pattern by which each term is found by adding or subtracting a fixed quantity to the previous term. If n is the number of the term, then:
\(a_n=a_{n-1}+d\)
Where d is called the common difference. If we know the first term, the nth term is calculated by:
\(a_n=a_1+(n-1)*d\)
The question asks us to find the term n=15 of an arithmetic sequence with a common difference d=7 and first term a1=5.
Applying the formula above:
\(a_{15}=5+(15-1)*7\)
\(a_{15}=5+14*7\)
\(a_{15}=5+98=103\)
The 15th term is 103
Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?
A. 32
B. 5
C. 4
D. 22
Answers
4 games as:
5.59 * 8 = 44.72
178.88/44.72 = 4
Answer = C. 4
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