Answers
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
Related Questions
A consumer testing group is comparing the average lifetime for three brands of batteries. The batteries are being tested in flashlight to determine the length of time (in hours) until the flashlight is extinguished due to a dead battery. The consumer test group collects random data for the battery lifetimes for the three brands and the dataset is provided below. The consumer testing group is interested to know if the average battery lifetimes are statistically the same for the three brands. Use a significance level of 5%. The consumer testing group has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.
a. Calculate the Test Statistic for this example (round your answer to 2 decimal places)
b. Calculate the P-value for this example (round your answer to 2 decimal places)
Brand A Brand B Brand C
15.6 19.9 18.7
16.5 14.9 17.5
19 18.4 16.3
17.8 16.6 13.4
14.9 22.2 18.4
Answers
The consumer testing group has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal and test Statistic for this example is 8.90b and the P-value for this example is 0.011
The null hypothesis and alternative hypothesis are:H0: μ1 = μ2 = μ3HA: At least one μi differs from the rest of the means.The level of significance is α = 0.05The test statistic used for this example is the F distribution (ANOVA).a. Calculation of the Test Statistic:
Test Statistic = MSR / MSEWhere,MSR = mean square due to regression = SSTR / 2 = 190.66MSE = mean square due to error = SSE / 12 = 21.43Therefore, the test statistic F = MSR / MSE = 8.90b.
Calculation of the P-value:P-value = P(F > 8.90)The degrees of freedom for numerator is k-1 = 3 - 1 = 2 and the degrees of freedom for the denominator is N-k = 15 - 3 = 12.The p-value of the F distribution with 2 and 12 degrees of freedom at 5% level of significance is 0.011. Therefore, P-value < α.
Thus, we reject the null hypothesis. We conclude that at least one μi differs from the rest of the means. Therefore, the average battery lifetimes are not statistically the same for the three brands.
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you roll three colored dice the random variable x we are interested in is the average of the numbers on the dice. what is the value of the random variable for this particular outcome of three colored dice?.
Answers
The value of the random variable for this particular outcome of three colored dice are 1, 1.33, 1.667, 2, 2.33, 2.6667.
Let's assume the three colored dice are fair, meaning that each face has an equal probability of appearing when rolled. The dice have six faces numbered from 1 to 6.
Since we are interested in the average of the numbers on the dice, we need to find the sum of the numbers and divide it by 3 (the number of dice).
Now, let's consider all possible outcomes of the three dice rolls and calculate the average for each outcome:
When the outcome is (1, 1, 1):
The sum of the numbers on the dice is 1 + 1 + 1 = 3.
Therefore, the average is 3/3 = 1.
When the outcome is (1, 1, 2):
The sum of the numbers on the dice is 1 + 1 + 2 = 4.
Therefore, the average is 4/3 ≈ 1.3333.
When the outcome is (1, 1, 3):
The sum of the numbers on the dice is 1 + 1 + 3 = 5.
Therefore, the average is 5/3 ≈ 1.6667.
When the outcome is (1, 1, 4):
The sum of the numbers on the dice is 1 + 1 + 4 = 6.
Therefore, the average is 6/3 = 2.
When the outcome is (1, 1, 5):
The sum of the numbers on the dice is 1 + 1 + 5 = 7.
Therefore, the average is 7/3 ≈ 2.3333.
When the outcome is (1, 1, 6):
The sum of the numbers on the dice is 1 + 1 + 6 = 8.
Therefore, the average is 8/3 ≈ 2.6667.
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A new car, valued at 28,000 depreciates at 9% per year. What is the value of the car one year after purchase
Answers
Answer:
$25,480
Step-by-step explanation:
9% of 28,000 is 2,520. "Depreciates" means we must subtract. When we subtract this number from the initial value of the car which is 28,000 we get 25,480, which would be how much the car is worth after one year.
hope this helps!
So there's 2 types of depreciation you often will come across, one is compound and one is simple.
For compound : A=P(1-i)^n
For simple A=P(1-in)
NOTE: A is amount after depreciation, P is amount before depreciation, n is number of years and i is the rate of depreciation.
Now if your depreciation is compound then:
A=P(1-i)^n
A=28000(1- 0.09)^1
A= 25480
If it's simple depreciation
A=P(1-in)
A= 28000(1- 0.09x1)
A= 25480
Now these are your solutions
Identify if each of the following statements is sometimes,always,or never true.
1. A parallelogram is a quadrilateral.
2. A square is a rectangle.
3. A trapezoid is a parallelogram.
4. A kite is a trapezoid.
5. A quadrilateral is a trapezoid.
6. A rhombus is a square.
7. A rectangle is a rhombus.
8. A kite is a parallelogram.
9. A square is a rhombus.
10. A trapezoid is a quadrilateral.
Answers
Answer: Always true
Sometimes true (only if all four sides are congruent)
Sometimes true (only if the trapezoid is isosceles)
Always true
Sometimes true (only if it has at least one pair of parallel sides)
Sometimes true (only if all four sides are congruent and opposite angles are congruent)
Sometimes true (only if all four sides are congruent)
Sometimes true (only if it has two pairs of congruent adjacent sides)
Sometimes true (only if all four sides are congruent)
Always true.
Enjoy (: and give a thumbs up (:
On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
A total of ______ people visited the natural history museum Friday night.
36
133
750
1500
Answers
A total of 750 people visited the natural history museum on Friday night.
The total number of people who visited the natural history museum on Friday night can be calculated by dividing the number of people who saw the dinosaur exhibit (165) by the percentage of visitors who saw the exhibit (22%).
To do this, we can use the following formula:
Total number of visitors = Number of visitors who saw the exhibit ÷ Percentage of visitors who saw the exhibit
Substituting the given values, we get:
Total number of visitors = 165 ÷ 0.22 = 750
Therefore, a total of 750 people visited the natural history museum on Friday night.
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6. Let P be the point on the unit circle obtained by rotating (1,0) by angle a+ß. We draw a perpendicular segment PN to the a-rotated line ON and another perpendicular PR to the x-axis. From the right triangle ONP, we see that segment ON = and segment OM = a cos B formulaeg B₁
Answers
After solving the question by Pythagorean theorem we have: OM = PR(cos(ß) - sin(ß)) = cos(a + ß)(cos(ß) - sin(ß)) as the expression for the length of segment OM.
Explain Pythagorean theorem?You may determine the right angled triangle's missing length using Pythagoras' Theorem. The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse. Pythagoras' formula is: \(a^{2} + b^{2} = c^{2}\)
There seems to be a typo in the question, as "segment ON =" is not followed by an expression or value. However, I will provide an explanation based on the given information.
We start with the point (1,0) on the unit circle and rotate it counterclockwise by an angle of a + ß. This brings us to the point P on the circle, which has coordinates (cos(a + ß), sin(a + ß)).
Next, we draw a perpendicular segment PN from point P to the line ON, where O is the origin (0,0) and N is the foot of the perpendicular from P to ON. We also draw another perpendicular segment PR from point P to the x-axis.
From the right triangle ONP, we see that ON = sin(a + ß) (since sin is the y-coordinate of a point on the unit circle) and NP = cos(a + ß) - 1 (since the x-coordinate of P is cos(a + ß) and we started with the point (1,0)).
Using the Pythagorean theorem, we have:
\(OM^2 + NP^2 = ON^2\)
where OM is the segment from point O to the foot of the perpendicular from P to the x-axis (which we called R). Since OR is perpendicular to PR, we have OR = PR cos(90 - ß) = PR sin(ß), and since OP is perpendicular to PR, we have OP = PR cos(ß).
Thus, OM = OP - OR = PR cos(ß) - PR sin(ß) = PR(cos(ß) - sin(ß)).
Substituting this into the Pythagorean theorem equation, we have:
(PR(cos(ß) - sin(ß))) + (cos(a + ß) - 1) = sin(a + ß)
This is the expression for the length of segment OM.
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SOMEONE PLEASE HELP ME WITH THIS!
Answers
Answer:
(−1)(5x+2)
Step-by-step explanation:
I googled it
Answer:
(x-1)(5x+2)
Step-by-step explanation:
5\(x^{2}\) + 2x - 5x - 2
(5\(x^{2}\) + 2x) (- 5x - 2)
x(5x + 2) -1(5x + 2)
(x-1)(5x+2)
a) Write 2 expressions for the area of the shaded region.
b) Find the length of the shaded region if the perimeter is 48cm.
c) Find the area of the shaded region if perimeter is 48cm.
Answers
Answer:
(a)9×3=37' 97 and 8 are factors of 37
Find the mode for the data set 18 24 24 24 25 37 37 46
Answers
Answer:
the mode would be 24
Step-by-step explanation:
it is what numbers appears most often
A museum charges $12.50 for admission. Each special exhibit costs an extra $2.00.
Part A
Write an expression that represents the cost, in dollars, of admission to the museum including admittance to n special exhibits.
Expression:
Part B
How much would it cost for admission to the museum and 5 special exhibits?
It would cost $
Answers
22.5$, would be cost for admission to the museum and 5 special exhibits
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
We typically use this technique for math calculations. This approach will be helpful to you when tackling problems involving ratio and proportion, algebra, geometry, etc.
We are able to locate the missing value using the unitary method.
The value of many things is provided in the unitary method, and we must either determine the value of more or fewer things.
To do that, we must first determine the value of one object by division before determining the value of additional or fewer items.
According to our question-
a) 2n+12.5
b) 2*5 + 12.5 = 10+12.5 = 22.5$
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Please help me with the correct answer
Answers
Answer:
10
Step-by-step explanation:
c² = a² + b²
= 8² + 6²
= 64 + 36
= 100
c² = 100
c = 10
MN= cm
Help me please!! Stuck on this thanks:)
Answers
Answer:
3π
Step-by-step explanation:
arc length = radius x central angle in radians
π = radius x π/3
radius = 3π
since OMN is an equilateral triangle, radius = MN
thus MN = 3π
An investment account with the same initial investment and the same APR has the most APY if the interested is compounded monthly daily annually continuously______O MonthlyO DailyO AnnuallyO Continuously
Answers
If the interest is compounded continuously, an investment account with the same initial investment and the same APR will have the highest APY.
APY (Annual Percentage Yield) is the effective annual rate of return after compounding. The higher the APY, the more frequently the interest is compounded.
Compounding yields the highest APY because it effectively provides an infinite number of compounding periods. Compounding daily, monthly, or annually yields lower APYs than compounding continuously.
An investment account is a type of financial product that allows people to save or invest money in the hopes of earning a profit. Individual retirement accounts (IRAs), brokerage accounts, savings accounts, and other types of investment accounts are available.
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ANSWER ASAP PLEASE FOR BRAINLIEST
Answers
Answer:
11.2 - B to C12 - B to A8.8 - A to CYou have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
Which value of x makes this equation true?-9x+15=3(2-x)
Answers
Step-by-step explanation:
-9x+15=3(2-x)
expand the bracket by the right hand side6-6x
2. collect like terms
-9x+15= 6-6x
15-6 = 6x+9x
11= 15x
3. divide both sides by the coefficient of X which is 15
x= 11/15
If f(x) = 7* and g(x) = log,x, then f(g(x)) = x. Sofia says the domain of this composed function [4] would be {x E R). Is she correct? Explain why or why not in detail.
Answers
Sofia is incorrect in stating that the domain of the composed function f(g(x)) = x is {x ∈ R}. The domain of the composed function depends on the individual domains of the functions f(x) and g(x). In this case, the domain of the logarithmic function g(x) = log(x) is restricted to positive real numbers, Therefore, the domain of the composed function f(g(x)) = x is restricted to positive real numbers.
To determine the domain of the composed function f(g(x)), we need to consider the domain of the inner function g(x) and ensure that the values obtained from g(x) fall within the domain of the outer function f(x).
The logarithmic function g(x) = log(x) is defined only for positive real numbers. Therefore, the domain of g(x) is x > 0, or (0, ∞).
The constant function f(x) = 7 is defined for all real numbers, as there are no restrictions on its domain.
When we compose f(g(x)), we substitute g(x) into f(x), which gives us f(g(x)) = f(log(x)).
Since the domain of g(x) is x > 0, we need to ensure that the values obtained from log(x) fall within the domain of f(x). However, the constant function f(x) = 7 is defined for all real numbers, including positive and non-positive values.
Therefore, the domain of the composed function f(g(x)) = x is x > 0, or (0, ∞). Sofia's statement that the domain is {x ∈ R} is incorrect.
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what is the 35th term of : 0.13 , 0.38 , 0.63 , 0.88 , 1.13
Answers
Answer:
206
Step-by-step explanation:
I think
Answer: 8.63
Step-by-step explanation:
-5 terms have been given so you need 30 more to reach 35.
-terms are going up by .25
30 * .25 = 7.5
7.5+1.13= 8.63
Lynn drives her car for work and drives an average of 1,100 miles each month. if her car gets 23 miles per gallon, how much fuel does she use each month?
Answers
Lynn used \(47.826\) gallons fuel in each month.
Average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Gallon is the unit for measuring liquids (fuel).
Mile is a unit of large distance.
Given,
Lynn drive her car for work an average of \(1100\) miles
Car get \(23\) miles per gallon.
It's mean car covers \(23\) miles distance in \(1\) gallon of fuel.
She used fuel in each month
\(=\frac{Total miles}{miles per gallon} \\=\frac{1100}{23}\\ =47.8260 gallon\)
Lynn used \(47.826\) gallons fuel in each month.
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Solve for x in the picture below
Answers
Answer:
x=19
Step-by-step explanation:
90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)
x=19
what’s 4.71428571429 as a fraction
Answers
Answer:
the fraction is of the value 4.71428571429 is 33/7
Answer:
33/7
Step-by-step explanation: its similiar to pi
How much growth or decay is 50(1.05)^t<100
Answers
Answer:
5% growth.
Step-by-step explanation:
1.05 = 1 + 0.05 = 1 + 5%
It is 5% growth.
Here are the marks that Jimmy got in his last six homeworks.
16 14 13 10 13 18
a Write the mode.
b Work out the range.
Answers
the only way I can help is if you tell me what his mood and what is range then text me back in the comments and I'll see if I can help you
The mode of the data is 13 and 18 and range is 8.
What is mode and range?The value that appears most frequently is the "mode." There is no mode for the list if no number on the list is repeated.
A list of numbers' "range" is just the range between the largest and lowest values. It conveys "spread," which is the degree to which the values are scattered (or how concentrated they are).
Given:
data: 16 14 13 10 13 18
Arrange the data: 10 13 13 14 18 18
a) The mode of the data is
Mode = 13 and 18.
b) Range = Highest - lowest
Range = 18 - 10
Range = 8
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Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?
StartFraction 2 over 25 EndFraction
One-fifth
Four-fifths
StartFraction 500 over 40 EndFraction
Answers
Answer:
A is correct 2/25.
Step-by-step explanation:
Thats what answer I got from doing the math
Explain on the next slide how in 3 hours the car wouldn't travel 160 miles.
Answers
Answer:
the car would have to be going under 5mph
Step-by-step explanation:
Which expressions are equivalent to -3(2w+6)-4−3(2w+6)−4minus, 3, left parenthesis, 2, w, plus, 6, right parenthesis, minus, 4 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 6w-146w−146, w, minus, 14 (Choice B) B 2(-3w+(-11))2(−3w+(−11))2, left parenthesis, minus, 3, w, plus, left parenthesis, minus, 11, right parenthesis, right parenthesis (Choice C) C None of the above
Answers
Answer:
B. 2{-3w+(-11)}Step-by-step explanation:
Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation.This is as shown:
Step 1: Open the parenthesis
= -3(2w+6)-4
= -3(2w)-3(6)-4
= -6w-18-4
Step 2: Simplify the resulting expression in step 1
= -6w-18-4
= -6w - 22
Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have;
2{-3w+(-11)}
Hence the equivalent expression is 2{-3w+(-11)}
Answer:
a and b
Step-by-step explanation:
no.
Jack hit a combined 18 doubles and triples last baseball season. A double is two bases and a triple is three bases. If he had 42 total bases in these 18 hits, how many of these hits were triples? The solution is
Answers
Answer:
I wanna say 7 but I could be wrong
Step-by-step explanation:
The number of triples is 6.
What is a linear equation?A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For the given situation,
Total number of hits = 18
Doubles + triples = 18
Let x be the number of triples. Then
Number of doubles = 18-x
Number of bases for doubles = 2 bases
Number of bases for triples = 3
The equation for the above situation is
⇒ \(2(18-x)+3x=42\\\)
⇒ \(36-2x+3x=42\)
⇒ \(x=42-36\)
⇒ \(x=6\)
Hence we can conclude that the number of triples is 6.
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Job 1 pays $30 just for taking the job. Then Doug earns $10 per hour he works.
Job 2 pays $5 just for taking the job. Then Doug earns $15 each hour he works.
If Doug works _______ hours
it does not matter because he
makes the same amount.
Answers
Answer:
5 hours
Step-by-step explanation:
30+10(5)
30+50=80
5+15(5)
5+75=80
Charissa has rectangular and circular candies in a jar as shown. Place additional candies in the jar so that the ratio of circular candies total candies is 7:12.
Answers
To make the ratio 7:12 (circular candies to total candies), it is necessary to place one circular candy and three rectangular candies.
What is a ratio?A ratio can be defined as a mathematical expression that shows the proportion of two elements. Here are some examples
6:7 apples to oranges = This means that for every 6 apples, there are 7 oranges7: 8 women to men = This means that for every 7 women there are 8 menWhat is the current ratio?The current ratio of circular candies to total candies is 6:8. However, the ratio required is 7:12.
How to fix the ratio?Change 7 to 8 by adding one circular candy, this will make the total candies 9.
Change 9 to 12 by adding 3 rectangular candies.
Based on the above, to reach the proportion desired add one circular candy and three rectangular candies.
Note: This question is incomplete; below I attach the missing information:
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What is the solution to the system?
Answers
Answer:
(1, 3)
Step-by-step explanation:
The solution to these kinds of graphs is where the 2 lines intersect, in this case they intersect at (1, 3), so (1, 3) is the solution
The cost of hot drinks in a café is shown:
Cappuccino £2.40
Latte £2.60
Hot Chocolate £3.00
Coffee £2.00
Tea £1.80
adam buys a latte, 2 hot chocalates and a tea.
how much will the drinks cost in total?
Answers
Answer:
£10.40
Step-by-step explanation:
Latte = £2.60
2 Hot Chocolates = £6.00
Tea = £1.80
Total = £2.60 + £6.00 + £1.80 = £10.40
Answer:
£10.40
Step-by-step explanation:
Add the cost of the drinks together to find the total cost:
\(\begin{tabular}{r r}Latte & \£2.60\\Hot Choc & \£3.00\\ Hot Choc & \£3.00\\Tea & \£1.80\\\cline{1-2} Total & \£10.40\\\cline{1-2}\end{tabular}\)